MICROTONAL BIBLIOGRAPHY

 

 

The following hails from my forthcoming Xenharmonikon 16 article, "A Brief

History of Microtonality In the 20th Century."  It may be definitive.

If not, please write:

B. McLaren

2462 S.E. Micah Place

Corvallis OR 97333-1966-17

No phone.

 

MICROTONAL BIBLIOGRAPHY

 

Aiken, Jim. "Discover 19-Tone Equal Temperament," Keyboard, March 1988, pp.

74-80.

Algaraz, Jose Antonio. "A Proposito de Julian Carrillo," Heterofonia, Vol. 8,

No. 31, pp. 20-23, 1975.

Alves, Bill. "Key Characteristics and Pitch Sets in Composing with Just

Intonation," 1/1, Vol. 6, No. 3, p. 1 sqq.

Alves, Bill. "The Just Intonation System of Nicola Vicentino," 1/1, Vol. 5, No.

2, 1991, pp. 8 sqq.

Anderson, Carola B. "Glenn Branca and the Harmonic Series," 1/1, Vol. 1, No. 1,

1985, pp. 4-7.

Anderson, Carola B. "The Trouble With Didymus," 1/1, Vol. 1, No. 3, 1985, p. 1

sqq.

Anderton, Craig. "Alternate Scales for Even-Tempered Samplers," Electronic

Musician, December 1986, pp. 48-49.

Anfilov, Gleb. Physics of Music. Moscow: 1961.

Ariel (Pseudonym).  Das Relativitaetsprinzip der Musikalische Harmonie, Band I:

Die Gesetze der inneren Tonbewegungen, das evolutionaere Temperierungsverfahren

und das 19 stufiges Tonsystem.  Neunzehn Stufen Verlag, Leipzig: 1925.

Asuar, Jose Vincente.  "De los Microtonos y su Aplicacion como Sistemas

temperados," Revista Musical Chilena, XI (October-November, 1957), pp. 59 sqq.

Avraamoff, A. N. "Jenseits von Temperierung und Tonalitaet," Melos, Vol. 1,

1920, pg. 131.

Baglioni, Silvestro. Udito e voce: elementi fisiologici della parola e della

musica. Rome: 1925.

Baker, R. S. "Music by Telharmony," Electrical World, xlvii, 1906, p. 509.

Baker, R. S. "The Generating and Distributing of Music by  Means of

Alternators,' Electrical World, xlvii, 1906, p. 519.

Baker, R. S. "New Music for an Old World," McClure's Magazine, xxvii, 1906, p.

291.

Balzano, Gerald J. "The group theoretic description of 12-fold and microtonal

pitch systems," Computer Music Journal, Vol. 4 No. 4, pp. 66-84, 1980.

Banta, Chris. "New Approaches to Pentatonic Notation," Interval, Vol. 3, No. 3,

Winter 1981, pp. 9 sqq.

Barbieri, Patrizio.  "Violin Intonation: A Historical Survey," Early Music,

February 1991, pp. 69-88.

Barbour, James Murray. "Just Intonation Confuted," Music and Letters, Vol. 19,

1938, pg. 48.

Barbour, James Murray. "Music and Ternary Continued Fractions," American

Mathematical Monthly, LV (1948), 545.

Barbour, James Murray, "The Persistence of the Pythagorean Tuning System,"

Scripta Mathematica, Vol. 1, 1933, pg. 286.

Barbour, James Murray. Tuning and Temperament: an Historical Survey, East

Lansing, Michigan State College Press, 1951.

Barlow, Clarence. "Two Essays On Theory," Computer Music Journal, Vol. 11, No.

1, pp. 44-60, 1987.

Bartlett, Martin. "Relative Ratio Tuning: An Intonational Strategy for

Performance Systems," Leonardo Music Journal, Vol. 1, No. 1, pp. 71-73, 1991.

Bartolozzi, Bruno. New Sounds for Woodwind. (Transl. and ed. by R. Smith

Brindle.) London: Oxford University Press, 1967.

Baschet, Francois. "The Baschet Experience - Part I," Interval, Vol. 4, No. 2,

Fall 1983, pp. 12 sqq.

Baschet, Francois. "The Baschet Experience - Part II," Interval, Vol. 4, No. 3,

Spring 1984, pp. 6-7.

Bateman, Wayne A. Introduction To Computer Music; Wiley, 1980, pg. 221.

Bender, G. "Le Futurisme Musical," Le Guide du Concert, III (February, 1912).

Beer, Anton de. "The Development of 31-Tone Music," Sonorum Speculum, Spring

1969, pp. 3-16, 1969.

Belet, Brian. "Toward A Unification of Algorithmic Composition, Real-Time

Software Synthesis, and Live Performance Interaction," Proceedings of the 1992

International Computer Music Conference.

Benjamin, Gerald R. "Julian Carrillo and 'sonido trece,'" Yearbook,

Inter-American Institute for Musical Research, Vol. 3, 1967, pp. 33-68.

Berghmans, Jose. "A Music Stave for the Notation of Different Musics,"

Interface, Vol. 12, 1983, pp. 525-540.

Bischoff, John.  "Software As Sculpture: Creating Music From the Ground Up,"

Leonardo Music Journal, Vol 1., No. 1, 1991,  pp. 37-40.

Bischoff, John, Rich Gold and Jim Horton. "Music For An Interactive Network of

Microcomputers." Computer Music Journal, Vol. 2, No. 3, pp. 24-29, 1978.

Blackaller, E. R. La revolucion musical de Julian Carrillo. Cuadernos de lectura

popular, No. 237. Mexico City: 1969.

Blackwood, Easley. Liner notes for the LP Twelve Microtonal Etudes for

Electronic Music Media, 1980.

Blackwood, Easley. The Structure of Recognizable Diatonic Tunings.  Princeton:

Princeton University Press, 1985.

Blackwood, Easley. "Modes and Chord Progressions in Equal Tunings," Perspectives

of New Music, Vol. 39, No. 2, 1992, pp. 167-200.

Blackwood, Easley. "Discovering the Microtonal Resources of the Synthesizer,"

Keyboard, May 1982, pp. 26-38.

Boatwright, Howard. "Ives' Quarter-Tone Impression," Perspectives of New Music,

Vol. 3, No. 2, 1965, pp. 22-31.

Bohlen, H.  "13 Tonstufen in der Duodezime," Acustica, Vol. 39, 1978, pp.

76-86.

Bosanquet, R. H. M. An Elementary Treatise on Musical Intervals and Temperament.

London: MacMillan & Co., 1876.  2nd edition,  Utrecht, Diapason Press: 1987,

ed. with introduction by Rudolf Rasch.

Bosanquet, R. H. M. "On the temperament, or the division of the octave."

Philosophical Magazine, Fourth Series, Vol. 48, No. 321 (Suppplement)

July-December, 1874, article No. 27, pp. 215-218.

Bosanquet, R. H. M.  "On the mathematical theory of Mr. Baillie Hamilton's

string-organ," Philosophical Magazine, Fourth Series, Vol. 49, No. 323, February

1874, Article No. 12, pp. 98-104.

Bosanquet, R. H. M.  "The theory of the division of the octave, and the

practical treatment of the musical systems thus obtained," Proceedings of the

Royal Society of London, Vol. 23, 1875, pp. 390-408.

Bosanquet, R. H. M. "Temperament; or the division of the octave."  Proceedings

of the Musical Association, Vol. 1, 1875, pp. 4-17.

Bosanquet, R. H. M. "Temperament: or, the division of the octave - Part II."

Proceedings of the Musical Association, Vol. 1, 1875, pp. 112-158.

Bosanquet, R. H. M. "On temperament, or the division of the octave - No. II."

Philosophical Magazine, Fourth Series, Vol. 50, no. 330, September 1875.

Bosanquet, R. H. M. "On the Hindoo division of the octave, with additions to the

theory of higher orders."  Proceedings of the Royal Society of London, Vol. 25,

1877, pp. 540-541. 

Bosanquet, R. H. M. "On some points in the harmony of perfect consonances,"

Proceedings of the Musical Association, Vol. 3, 1877, pp. 145-153.

Bosanquet, R. H. M. "On the beats of consonances of the form h:1," Philosophical

Magazine, Fifth Series, Vol. 3, no. 70, June 1881, Article No. 57, pp. 420-436.

Bosanquet, R. H. M.  "On the beats of consonances of the form h:1  - Continued,"

Philosophical Magazine, Fifth Series, Vol. 11, No. 71, Supplement, January-June,

1881, Article no. 65, pp. 492-506.

Bosanquet, R. H. M. "On the beats of the consonances of the form h:1,"

Proceedings of the Physical Society of London, Vol. 4, 1881, Article no. 24, pp.

221-256.

Bosanquet, R. H. M. "On the history of the theory of the beats of mistuned

consonances," Philosophical Magazine, Fifth Series, Vol. 12, no. 75, October

1881; Article no. 34, pp. 270-282.

Bosanquet, R. H. M. "On the beats of mistuned consonances," Philosophical

Magazine, Fifth series, Vol. 12, no. 77, December, 1881, Article no. 52,

434-436.

Bosanquet, R. H. M. "The beats of mistuned consonances," Philosophical Magazine,

Fifth Series, Vol. 13, no. 79, February 1882, Article no. 13, p. 131. [Letter]

Boulez, Pierre. 'At the Ends of Fruitful Land...' Die Reihe, Vol. 1, pp. 21-22.

Original German edition 1955, English edition 1958.

Brandsma, Engbert. "Ueber die Tonverhaeltnisse in der Alten und Neuen Musik,"

Bericht von III Kongress der International Musikgesellschaft," 1909, p. 387.

Brewster, Todd. "Twangs and Tweedles," LIFE, Novemeber 1983, Vol. 6, No. 11, pp.

139 sqq.

Brown, Colin. Music in a Sound and Music in Figures (Music in Common things,

Parts I and II). William Collins Sons, Ltd. London: 1885.

Burt, Warren.  "Composing For A Set of Aluminum Just-Intonation Tuning Forks,"

Part 1, Interval, Winter 1986-1987, p. 13 & 23.

Burt, Warren.  "Experimental Music In Australia Using Live Electronics,"

Contemporary Music Review, Vol. 6, Part 1, pp. 159-172.

Burt, Warren.  "Australian Experimental Music 1963-1990," Leonardo Music

Journal, Vol. 1 No. 1, pp. 5-10, 1991.

Busoni, Ferruccio. Sketch of a New Esthetic of Music. London: 1910, p. 98.

[Translated by Dr. Th. Baker]. Also in: Three Classics in the Aesthetic

of Music. Dover, New York.

Busoni, Ferruccio. "Bericht ueber Dritteltoene," Melos, Vol. 3, August 1922,

p. 198.

Butler, Simone. "A Xen Kind of Experience," On Air Magazine, San Diego KPBS,

December 1992, p. 4.

Cameron, Janet. Transcriptions of Seven Li Po Settings by Harry Partch.

Unpublished Master's thesis. University of Illinois, 1981.

Campbell, Alan Gary. "Just and Mean Tone Tuning for Electronic Keyboards,"

Electronic Musician, Vol. 2, No. 11, November 1986, pp. 46-51.

Canright, David. "A Justly Tuned Guitar," 1/1, Vol. 2, No. 2, 1986, pp. 8-11.

Canright, David. "Ratios for Equal Temperaments," Interval, Vol. 1, No. 4, 1980,

pp. 38 sqq.

Canright, David. "A Tour Up the Harmonic Series," 1/1, Vol. 3, No. 3, Summer

1987, pp. 8 sqq.

Carrillo, Julian. El Sonido 13.  Mexico: 1924. [Translated in Soundings 5,

1973.]

Carrillo, Julian. Leyes de Metamorfosis Musicales. Mexico: 1949.

Carrillo, Julian. Dos Leyes de Fisica Musical. Mexico: 1956.

Carrillo, Julian. Platicas musicales, Vol. 1, Mexico City: 1913, 3/1930.

Carrillo, Julian. Tratado Sinetico de Armonia. Mexico City: 1913, 8/1915.

Carrillo, Julian. Genesis de la Revolucion Musical de 'Sonido 13.' San Luis

Potosi: 1940.

Carrillo, Julian. 'Sonido 13': Fundamento Cientifico e Historico. Mexico City:

1948.

Carrillo, Julian. En Defensa del Honor de America: 'el Sonido 13!' Replica a

Papini. Mexico City: 1947.

Carrillo, Julian. Metodo Racional de Solfeo: Entonacion y Medida de los Sonidos

Musicales. Mexico City: 1941.

Carrillo, Julian. Problemas de Estetica Musical: Eviados a la UNESCO y Datos

Historicos Relacionados con el Problema del 'Sonido 13.' Mexico City: 1957.

Carrillo, Julian. Mexico en la cultura musical del mundo. Mexico City: 1957.

Carrillo, Julian. Sistema General de Escritura Musical. Mexico City: 1957.

Carrillo, Julian. 'Sonido 13': el infinito en las escalas y en los acordes.

Mexico City: 1957.

Carrillo, Julian. 'Sonido 13': recorrido historico. Mexico City: 1962.

Carrillo, Julian. Errores Universales en Musica y Fisica Musical. Mexico City:

1967.

Carlos, Wendy. "Three Asymmetrical Divisions of the Octave," Pitch, Vol. 4, No.

1, Spring 1990, pp. 2-3

Carlos, Wendy.  "Tuning: At the Crossroads," Computer Music Journal,  1987, Vol.

11, No. 1, pp. 29-43.

Carpenter, Ellon D. "Russian Music Theory: A Conspectus," in Russian Theoretical

Thought In Music, Gordon D. McQuere, ed. Ann Arbor: UMI Research Press, 1983.

Catler, Jon. "Over & Under: The 13 Limit," 1/1, Vol. 3, No. 3, Spring 1987, pp.

4 sqq.

Cavallini, Edoardo.  "Breve Nota sul pluricromatismo," Rivista Musicale

Italiana, (1946), 130.

Cavallini, Edoardo.  "Il Pluricromatismo nell' evoluzione musicale," Rivista

Musicale Italiana, (1946), 130.

Chalmers, John H. Jr. "Microtonal Mathematics," Interval, Vol. 1, No. 2,  1978,

pp. 12 sqq.

Chalmers, John H. Jr. "Construction and Harmonization of Microtonal Scales In

Non-12-Tone Equal Temperaments," Proceedings of the 1982 International Computer

Music Conference.  CMA: 1982.

Chalmers, John H. Jr. "The Application of Rothenberg's Pattern Recognition Model

to the Structure of Tetrachords and Tetrachordal Scales," Xenharmonikon 3,

1975.

Chalmers, John H. Jr. "Polychordal Arrays of MOS Scales," Xenharmonikon 7 & 8,

1979.

Chalmers, John H. Jr. "Some Scales With Nineteen Tones," Xenharmonikon 7 & 8,

1979.

Chalmers, John H. Jr. "Tritriadic Scales With Seven Tones," Xenharmonikon 9,

1986.

Chalmers, John H. Jr. "Tritriadic Transformations," 1/1, Vol. 3, No. 1, 1987,

pp. 1 sqq.

Chalmers, John H. Jr. "Tritriadic Scales With Seven Tones: Derived Forms and

Sturctural Properties," Xenharmonikon 10, 1988.

Chalmers, John H. Jr. "Third Coast New Music Project," 1/1, Vol. 4, No. 3, 1988,

p. 15.

Chalmers, John H. Jr. "Tritriadic Scales With Seven Tones, Part Three,"

Xenharmonikon 11, 1989, pp. 40-68.

Chalmers, John H. Jr. "Tetrachordal Scales and Complexes," Xenharmonikon 11,

1989.

Chalmers, John H. Jr. "Three Approaches to Harmony in 13-TET," Xenharmonikon 13,

Spring 1991, pp. 53-64.

Chalmers, John H. Jr. Divisions of the Tetrachord. Frog Peak Music: 1993.

Clark, Carrie Starr.  "Just Intonation in the Kirana Vocal Tradition," 1/1, Vol.

5, No. 3, 1989, pp. 1 sqq.

Clough, Rosa Trillough.  The Futurists,  New York: 1965, pp. 188-189.

Coates, William.  "The Equal Temperament of 31 Notes to the Octave," Interval,

Fall-Winter 1985-1986, pp. 23-26.

Colvig, William. "A Western Gamelan," Sound Sculpture: A Collection of Essays by

Arists, ed. J. Grayson. Vancouver: 1975, pp. 162 sqq.

Corso, J. F. "Scale Position and Performed Musical Octaves," Journal of

Psychology, Vol. 37, 1954.

Cowell, Henry. New Musical Resources.  1930.  New York, London: A.A. Knopf.

Dadson, Philip. Liner notes for the cassette Songs For Heroes. Aotearoa, New

Zealand: 1993.

Dahlhaus, C. "Die 'Reine Stimming' als musikalsches Problem," Festschrift til

Olav Gurvin, Oslo, 1968, p. 68.

Daniel, Walter and Lisowski, James. "Two Commodore 64 Alternate Tuning

Programs," Electronic Musician, October 1987.

Danielou, Alain. Introduction to the Study of Musical Scales.  London: the India

Society, 1943.

Danielou, Alain.  Tableau Comparatif des Intervalles Musicaux.  Institute

Francais D'Indologie, Pondichery: 1958.

Darreg, Ivor. The Complete Musical Writings of Ivor Darreg. 1994. (In press)

Darreg, Ivor and B. McLaren.  "Biases In Xenharmonic Scales," Xenharmonikon 13,

1991.

Darreg, Ivor.  Xenharmonic Bulletin Nos. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.

Self-published: 1966-1993.

Darreg, Ivor. "Non-Twelve on the Clavichord," Interval, Vol. 1, No. 4, 1980, pp.

35 sqq.

Darreg, Ivor. "A Case For Nineteen," Interval, Vol. 3, No. 4, Summer 1982, pp. 7

sqq.

Darreg, Ivor. "Non-Twelve on the Cello," Interval, Vol. 3, No. 4, Summer 1982,

pp. 14-15.

Darreg, Ivor. "Comparative Systems--Equal Temperaments 1-50," chart bound into

Interval, Vol. 3, No. 4, Summer 1982.

Darreg, Ivor. "Advantages and Disadvantages of Just Intonation, 12-Equal and

19-Equal," Interval, Vol. 3, No. 4, Summer 1982, pp. 18, 21-24.

Darreg, Ivor. "Detwelvulate!" Interval, Vol. 2, No. 1, Fall 1979, pp. 14-17.

Darreg, Ivor.  New Opportunities For the Musical Explorer.  Self-published:

1981.

Darreg, Ivor. "Two Experiments for the Price of One,"  1985 monograph,

self-published.

Darreg, Ivor.  "New Tunes and New Chords (Something To Fret About)," Guitar

Player, February 1978.

Darreg, Ivor. Special Bulletin. Self-published: 1963.

Darreg, Ivor. The Quarter-Tone Question. Self-published: 1947.

Darreg, Ivor. Shall We Improve the Piano?  Self-published: 1st Ed. 1965, 2nd.

revised Ed. 1967, pg. 23.

Darreg, Ivor.  "Two Essays on Xenharmonics," Polyphony, 1977, pp. 66-69.

Darreg, Ivor.  1967 Annual Report.  Self-Published: 1968.

Darreg, Ivor.  1985 Annual Report.  Self-Published: 1986.

Darreg, Ivor.  1988 Annual Report.  Self-Published: 1989.

Darreg, Ivor.  Opening the Door To the Nineties.  Self-published: 1990.

Darreg, Ivor.  Summery Summary.  Self-published:1992.

Darreg, Ivor. "Julian Carrillo: Mexico's Microtonal Music Master," Interval,

Vol. 5, No. 1, pp. 13, 17.

Darreg, I. & B. McLaren.  "An Interview With Ivor Darreg About 'The Xenharmonic

Frontier'," Xenharmonikon 14, 1993.

Dashow, James. "Spectra As Chords," Computer Music Journal, Vol. 4. No. 1, pp.

43-52, 1980.

Dashow, James. "Three Methods for the Digital Synthesis of Chordal Structures

With Non-Harmonic Partials," Interface, Vol. 7, pp. 69-94, 1978.

Davies, Hugh. Entries for "Microtonal instruments" and "Just intonation" in The

New Grove Dictionary of Musical Instruments, MacMillan Press Limited. London:

1984.

Davis, James A. "The Beehive Keyboard: A Five Limit Keyboard," Interval, Vol. 5,

No. 2, Spring 1986, pp. 10-13, 6.

De Klerk, Dirk.  "Equal Temperament." Acta Musicologica Vol. 51, 1979: pp.

140-150.

Dery, Mark. "Harry Partch: An American Original," Keyboard, Vol. 16, No. 6, June

1990, pp. 49-54, 59.

Dery, Mark. "Glenn Branca and Elliott Sharp," Mondo 2000, Vol. 1, No. 5, 1992,

pp. 67-72.

Diliberto, John K. "An Interview With Wendy Carlos," Polyphony, June 1984, pp.

10-13.

Doerschuk, Bob. "Craig Hundley: Microtonal Explorations of an L.A. Studio

Mainstay," Keyboard, September 1981.

Doty, David. "What Is Just Intonation?" Electronic Musician, Vol. 2, No. 11,

November 1986, pp. 38-41.

Doty, David. "Tuning Keyboards in Just Intonation," Keyboard, Vol. 9., No. 10,

October 1983, pp. 41 sqq.

Doty, David. "The LaMonte Young Interview," 1/1, Vol. 5, No. 4, 1989, pp. 1,

9-12.

Doty, David. "Toward Standard Definitions," 1/1, Vol. 2, No. 2, 1986, pp. 2

sqq.

Doty, David. "Tutorial: Part One - What Do All Those Ratios Mean?" 1/1, Vol. 1,

No. 2, 1985, pp. 6-7.

Doty, David. "Tutorial: Part Two,"  1/1, Vol. 1, No. 3, 1985, pp. 2 sqq.

Doty, David. "Tutorial: Part Three," 1/1, Vol. 2, No. 2, 1986, pp. 6 sqq.

Doty, David. "Tutorial: Part Four," 1/1, Vol. 2, No. 3, 1986, pp. 1 sqq.

Doty, David. "The DX7II: A First Look," 1/1, Vol. 3, No. 4, 1987, pp. 11 sqq.

Doty, David. "The Subharmonic Question," 1/1, Vol. 1, No. 2, 1985, pp. 1 sqq.

Doty, David, "Microtonal Resources of the Seven Limit," 1/1, Vol. 6, No. 1,

1985,  pp. 1 sqq.

Doty, David. "Meaty MIDI Meeting," 1/1, Vol. 4, No. 4, 1988, p. 15.

Doty, David. "Anomalous Pairs in 'Paradigms Lost,'" 1/1, Vol. 5, No. 1, 1989,

pp. 4-14.

Doty, David. "An Abundance of Thirds," 1/1, Vol. 4, No. 2, 1988, pp. 4 sqq.

Doty, David. Just Intonation Primer.  1993.

Doty, David. A Composer's Guide to Just Intonation.  Unpublished manuscript.

Dudon, Jacques.  "La gamme doree: Un temperament inegal issue du nombre d'or,"

Nombre d'or et Musique, pp. 147-157.

Dudon, Jaques. "Musiques Harmoniques," 1/1, Vol. 5, No. 3, 1989, pp. 10, 14. 

Dumour, Earl. "An Interview With Arthur Roberts," Computer Music Journal, Vol.

17, No. 2, 1993, pp. 17-22.

Duncan, Dudley. "Septimal Harmony for the Blues," 1/1, Vol. 5, No. 2, 1989, pp.

4-5.

Dupont, Wilhelm. Geschichte der Musikalischen Temperatur. Kassel, 1935.

Earls, Paul "Harry Partch: Verses in Preparation for 'Delusion of the Fury,'"

Annuario--Yearbook 3, Tulane University, Inter-American Institute for Musical

Research, 1967.

Eaton, John. "A Portable Electronic Instrument," Music Journal, 1966.

Eitz, Carl A. Das mathematische-reine Tonsystem. Leipzig: 1891.

Eitz, Carl A. "Von den natuerlich reinen Stimmungsverhaeltnissen," Melos, Vol.

1, 1920, p. 293.

Ellis, Alexander John. "On the Temperament of Instruments with Fixed Tones,"

Proceedings of the Royal Society, Vol. 13, 1874, p. 404.

Ellis, Alexander John. "On the Conditions, Extent, and Realization of a Perfect

Musical Scale on Instruments with Fixed Tones," Proceedings of the Musical

Society of London, Vol. 13, 1964, pp. 93-108.

Ellis, Alexander John. "On Musical Duodenes, or the Theory of Constructing

Instruments with fixed Tones in Just or in practically Just Intonation,"

Proceedings of the Royal Society of London, Vol. 23, 1875, pp. 3-31.

Ellis, Alexander John. "On the Musical Scales of Various Nations," Journal of

the Society of the Arts, Vol. 33, 1885, p. 485.

Ellis, Don. Quarter Tones: A Text with Musical Examples, Exercises and Etudes.

Plainview, N.Y.: Harold Branch Publishing, 1975.

Engel, Gustav. Das mathematische Harmonium: Ein Hilfsmittel zur

Veranschaulichung der reinen Tonverhaeltnisse. Berlin: 1881.

Engel, Gustav. "Eine mathematische-harmonische Analyse des Don Giovanne von

Mozart," Vierteljahrschift fuer Musikwissenschaft, Vol. 3, 1887, p. 491.

Esper, Erwin. "Max Meyer and the Psychology of Music," Journal of Music Theory,

Vol. 10, No. 2, Winter 1960, pp. 182-199.

Faas, Ekbert. "Interview with Karlheinz Stockhausen Held August 11, 1976,"

Interface, Vol. 6, 1977, pp. 187-204.

Fickenscher, Arthur.  "The 'Polytone' and the Potentialities of a Purer

Intonation," The Musical Quarterly, Vol. 27, No. 3, July 1941, pp. 356-370.

Fleischer, David. "Sounds of Infinity," Connoisseur, August 1983, Vol. 213, No.

858. pp. 100 sqq.

Fokker, A. D. Christiaan Huygens' oktaafdeling in 31 gelijke diezen" (Christiaan

Huygens' octave division in 31 equal dieses, Caecilia en De Muziek, Vol. 98,

1941, pp. 149-152.

Fokker, A. D. "Harmonische muziek" (harmonic music), Archives du Musee Teyler,

Vol. 9, No. 5, 1942, pp. 449-506.

Fokker, A. D. "De keuze der muziektonen" (the choice of the musical tones),

Caecilia en De Muziek, Vol. 99, 1942, pp. 25-29.

Fokker, A. D. "Grondtoon, gidstoon en hun volledig akkoord" (fundamental tone,

guide tone, and their complete chord), Caecilia en De Muziek, Vol. 99, 1942, pp.

72-75.

Fokker, A. D. "Vierklanken als getallenkwartetten" (four-tone chords as groups

of four numbers), Caecilia en De Muziek, Vol. 99, 1942, pp. 116-118.

Fokker, A. D. "Intervalsnippers en de verdeeling van het octaaf en kwint in

even grote delen" (interval shreds and the division of the octave and fifth

in parts of equal size), Caecilia en De Muziek, Vol. 99, 1942, pp. 172-176.

Fokker, A. D. "Het muzikale toonstelsel van Christiaan Huygens, de normale

diezenstemming" (the musical tone-system of Christiaan Huygens: the tuning with

equal dieses," De Gids, Vol. 106, No. 2, 1942, pp. 164-171.

Fokker, A. D. "Tartini en de zevende harmonische" (Tartini and the seventh

harmonic), Caecilia en De Muziek, Vol. 100, 1943, pp. 78-80.

Fokker, A. D. Rekenkundige bespiegeling der muziek. (Arithmetical reflection of

music) Gorinchem: Noorduijn, 1945.

Fokker, A. D. "On equal temperament," Physica, Vol. 11, 1946, pp. 447-448.

[letter]

Fokker, A. D. "Over Cis en Des" (About C sharp and D flat), Mens & Melodie, Vol.

2, 1947, p. 245.

Fokker, A. D. Les Mathematiques et la musique. Extrait du Tome X, Archives du

Musee Teyler. The Hague: Martinus Nijhoff, 1947.

Fokker, A. D. "De middentoonstemming gedemonstreerd" (Meantone tuning

demonstrated), Mens & Melodie, Vol. 4, 1949, pp. 139-141.

Fokker, A. D. Just Intonation and the Combination of Harmonic Diatonic Melodic

Groups. The Hague: Martinus Nijhoff, 1949.

Fokker, A. D. & J. van Dijk. "Experiences musicales avec les genres musicaux de

Leonhard Euler contenant la septieme harmonique" (musical experiences with

Leonhard Euler's musical genera containing the seventh harmonic), Archives du

Musee Teyler, Vol. 10, No. 3, 1951, pp. 133-146.

Fokker, A. D. "La gamme, la musique et le temperament egal" (intervals, music

and equal temperament), Archives du Musee Teyler, Vol. 10, No. 3, 1951, pp.

147-160.

Fokker, A. D. "Les possibilites d'une notation musicale de plus grande

precision" (the possibility of a musical notation of much greater precision),

Archives du Musee Teyler, Vol. 10, No. 3, pp. 161-171.

Fokker, A. D. "Les frequences dans le temperament egal a trent-et-un cinquiemes

de ton" (the frequencies of 31-tone equal temperament), Archives du Musee

Teyler, Vol. 10, No. 3, 1951, p. 172.

Fokker, A. D. "Un orgue a demitons majeurs et mineurs place au Musee Teyler a

Haarlem" (an organ with major and minor semitones situated in the Teyler Museum

in Haarlem), Archives du Musee Teyler, Vol. 10, No. 3, 1951, pp. 182-184.

Fokker, A. D. "Les gammes et le temperament egal" (intervals and equal

temperament), Acustica Vol. 1, 1951, pp. 29-35.

Fokker, A. D. "Toonhoogte en intensiteit" (Pitch and intensity), Mens & Melodie,

Vol. 6, 1951, p. 73.

Fokker, A. D. "De behoefte aan grotere nauwkeurigheid in de muzikale notatie der

toonhoogte" (the need for greater precision in musical pitch notation), Mens &

Melodie, Vol. 8, 1953, pp. 114-115.

Fokker, A. D. "The qualities of the euqal temperament by 31 fifths of a

tone in the octave," Report of the Fifth Congress of the International Society

for Musical Research, Utrecht 3-7 July 1952. Amsterdam: Vereniging voor

Nederlandse Muziekgeschiedenis, 1953, pp. 191-192.

Fokker, A. D. "Equal Temperament with 31 Notes," Organ Institute Quarterly, Vol.

5, No. 4, Autumn, 1955, p. 41.

Fokker, A. D. "Equal temperament and the thirty-one-keyed organ," Scientific

Monthly, Vol. 81, 1955, pp. 161-166.

Fokker, A. D. "Les cinquiemes de ton," Acoustique musicale, Paris: CNRS, 1959,

pp. 29-37.

Fokker, A. D. "New Music With 31 Notes." [Translated by Leigh Gerdine] Bonn:

Orpheus - Series of Monographs on Basic Questions in Music, Vol. 5, Verlag fuer

Systematische Musikwissenschaft, 1975.

Fokker, A. D. "Genauere Bestimmung der Tonhoehe," Musica, Vol. 16, 1962, p. 37.

Fokker, A. D. "Multiple antinairesis," Proceedings of the KNAW Series A, Vol.

66, 1963, pp. 1-6.

Fokker, A. D. "Refinement of pitch," Organ Institute Quarterly, Vol. 10, 1963,

pp. 13-14.

Fokker, A. D. "Met verjongde oren" (with rejuvenated ears), Mens & Melodie, Vol.

19, 1964, pp. 14-16.

Fokker, A. D. "Optelakkoorden" (Addition chords) Mens & Melodie, Vol. 15, May,

1960, p. 145.

Fokker, A. D. "Wozu und warum? Fragen zur neuen Musik" (Wither and why?

Questions concerning new music),  Die Reihe, Vol. 8, 1962, pp. 62-72.

Fokker, A. D. "De muzikale ontwikkeling op een tweesprong" (musical development

at the crossroads), Publikatie Nederlands Akoestisch Genootschap, Vol. 7,

September, 1965, pp. 3-7.

Fokker, A. D. "On the Expansion of the Musician's Realm of Harmony," Acta

Musicologica, April-Dec. 1966, pp. 197-202.

Fokker, A. D. Recherches musicales, theoretiques et pratiques. The Hague: 1951.

Fokker, A. D. "Selections from the harmonic lattice of perfect fifths and major

thirds containing 12, 19, 22, 31 41, or 53 notes," Proceedings of the KNAW,

Series B, Vol. 71, 1968, pp. 251-266.

Fokker, A. D. "Periodieke herhalingen in het muzikaal harmonische veld"

(periodical repeats in the musical-harmonic field), Verslagen van de gewone

vergaderingen der afdeling Natuurkunde [van der KNAW], Vol. 77, 1968, pp.

140-146.

Fokker, A. D. "Unison vectors and periodicity blocks in the three-dimensional

(3-5-7-) harmonic lattice of notes, Proceedings of the KNAW, Series B, Vol. 72,

1969, pp. 153-168.

Fokker, A. D., H. Kox J. Mandelbaum & R. H. Orton. "Report of the Working

Committee for Notation (IMS)," Report of the Tenth Congress of the International

Musicological Society, Ljubljana, 1967. Kassel: Baerenreiter, 1970, pp. 473-483.

Fokker, A. D., J. Kox, J. Mandelbaum & R. Orton, "The notation of dieses in the

octave. Die Notenschrift von 31 Diesen in der Oktave," Sonorum Speculum,

Vol. 46, 1971, pp. 31-47.

Fokker, A. D. "Acoustical analysis of a peal of thirteen Chinese bells,"

Proceedings of the KNAW, Series B, Vol. 74, 1971, pp. 257-262.

Fokker, A. D. "New rational musical scales," Eivind Groven. Heiderskrift til

70-aersdagen 8. oktober 1971 (Hommage to the intrepid champion of pure

intonation, Eivind Groven), Oslo: Noregs Boklag, 1971, pp. 191-204.

Fokker, A. D. "Pleasant sequences by addition chords," Acustica, Vol. 28,

1973, pp. 3-4.

Fokker, A. D. "Ab Ovo." Unpublished collection covering Fokker's life work.

Currently in the archives of the Teyler Museum.

Fonville, John.  "Ben Johnston's Extended Just Intonation: A Guide For

Interpreters," Perspectives of New Music, Vol. 39, No. 2, 1992, pp. 106-137.

Fonville, John. "Harmonic Resources of Extended Just Intonation," 1/1, Vol 7,

No. 2, December 1991, pp. 1, 4-15.

Fonville, John. "Microtonal Fingerings for Flute: A Comprehensive List," Pitch:

For the International Microtonalist, Vol. 1, No. 4, 1990, pp. 37-54.

Forlin, Gino Robair. How Trees Are Felled In China.  Unpublished Master's thesis

for M.A. in composition. Mills College: 1988.

Forster, Cris. "Chrysalis," Interval, Vol. 1, No. 1.. 1978, pp. 6 sqq.

Forster, Cris.  "Harmonic/Melodic Canon IV," Interval, Vol. 1, No. 2, 1979.  pp.

17-20.

Forster, Cris. "Introduction To Everything," Xenharmonikon 7-8, pp. 1-11,

1986-7.

Forster, Cris. "Diamond Marimba II," Interval, Vol. 1, No. 3, 1979, pp. 16-17.

Fortuna, Clem. "Composing in Seven Equal & String Quartet in Seven Equal,"

Xenharmonikon 13, Spring 1991, pp. 77-86.

Fortuna, Clem. Microtone Guide. Self-published pamphlet: 1989.

Freff. "Tuning In To Wendy Carlos," Electronic Musician, Vol. 2, No. 11,

November 1986, pp. 20-37.

Fuller, Ramon. "A Study of Microtonal Equal Temperaments," Journal of Music

Theory, Vol. 35 No. 1, 1991, pp. 211-237

Frye, Royal Merrill and Esther W. Tipple. A Graphic Introduction to the Harmon.

Boston: self-published, 1942. (Library of Congress number ML 3809 .T 56 G 7)

Frye, R. M. and E. W. Tipple. Data Supplement to A Graphic Introduction to the

Harmon. Boston: self-published, 1942. (Library of Congress catalogue number ML

3809 .T 557)

Gagliardo, E. and M. Ghislandi.  "Did Beethoven Compose in the Enneadecaphonic

System?" Interface, 1985, Vol. 14, pp. 1-9.

Gagliardo, Emilio.  "Enneadecaphonic Music: A New System of Harmonic Tones,"

Estratto dagli Atti dell'Accademia Ligure di Scienze e Lettere, Vol. 37, 1980,

pp. 1-13.

Garr, Douglas. "The Endless Scale," OMNI, Martch 1981 Vol. 3 No. 6, pp. 44 sqq.

Geary, J. M. "Consonance and Dissonance of Pairs of Inharmonic Sounds, " Journal

of the Acoustic Society of America, Vol. 67, No. 5, May 1980, pp. 1785-1789.

Genovese, Denny. "Easley Blackwood: An Interview by Denny Genovese -- Part I,"

Interval, Vol. 3, No. 1, Spring 1981, pp. 16-21.

Genovese, Denny. "Easley Blackwood: An Interview by Denny Genovese -- Part II,"

Interval, Vol. 3, No. 2, Summer 1981. pp. 18-20.

Genovese, Denny. "The Binary Flute," Interval, Vol. 1, No. 2, pp. 20 sqq.

Genovese, Denny. "Simple Instruments for Just Intonation," Interval, Vol. 1, No.

4, 1980, pp. 36 sqq..

Gibbens, John Jeffrey.  "Design In Ben Johnston's Sonata For Microtonal Piano,"

Interface, Vol. 18, 1989, pp. 161-194.

Gilmore, Robert. "The Bewitched Goes to Europe," Interval, Vol. 2, No. 1, Fall

1979, pp. 27-32.

Gilmore, Bob.  "On Harry Partch's Seventeen Lyrics by Li Po," Perspectives of

New Music, Vol. 40, No. 1, 1993, pp 22-58.

Giovanetti, Gustavo. Genesi del Nuovo Sistema Musicale Tricommatico Naturale a

Terzi di Tono. Firenze: Leo S. Olschki, 1955.

Glasier, John Sr. "Improvising In Non-12 Tunings," Interval, Winter, 1984, pp.

5-6.

Glasier, Jonathan. "Pepe Aton Estevane: an interview the microtonal ambassador

from Mexico," Interval, Vol. 5, No. 2, Spring 1986, pp. 24-25.

Glasier, Jonathan.  "George Secor Interview," Interval, Vol. 4, No. 3, Winter,

1984,  pp. 6-7.

Glasier, Jonathan. "The Pentaphone--Unfolding Fives," Interval, Vol. 4, No. 4,

Spring-Summer 1985, pp. 14-15.

Glasier, Jonathan. "An Interview With Terry Riley," Interval, Vol. 3, No. 3,

Winter 1981, pp. 12 - 15.

Glasier, Jonathan. "Ratio Keyboard Design," Interval, Vol. 5, No. 3, Winter

1986-7, pp. 14-17.

Glasier, Jonathan. "Early Partch Work - Part 1: Partch Manuscript Uncovered,"

Interval, Vol. 4, No. 2, Fall 1983, pp. 6 sqq.

Glasier, Jonathan. "Early Partch Work - Part 2: Partch Manuscript Uncovered,"

Interval, Vol. 4, No. 3, Winter 1983, pp.

Glasier, Jonathan. "Interview with French Composer Pierre-Jean Croset and his

Lyra," Interval, Vol. 4, No. 4, 1983, pp. 10 sqq.

Gmelch, Joseph. Die Vierteltonstufen im Messtonale von Montpellier.  Freiburg:

Gregorianischen Akademie zu Freiburg, 1911, pp. 9-19.

Goebel, Johannes. "Zu den Zielsetzungen der Deutschen Gesellschaft fuer

Computermusik," Feedback Papers, Vol. 27-28, March 1982, pp. 2-7.

Goldsmith, David S. "An Electronically Generated Complex Microtonal System of

Horizontal and Vertical Harmony," Journal of the Audio Engineering Society, Vol.

19, No. 10, pp. 851-858.

Goode, Dan. "Microtonal Songs for the Clarinet," Interval, Vol. 2, No. 1, Fall

1979, 116-119.

Grady, Kraig. "Erv Wilson's Hexany," 1/1, Fall 1992, Vol. 7 No. 1, pp. 8-11.

Grady, Kraig.  "Combination-Product Sets," Xenharmonikon 9, 1986.

Grady, Kraig. "The Discovery of a 14-Tone Scale," Xenharmonikon 13, Spring 1991,

pp. 86-89.

Groven, Eivind. Equal Temperament and Pure Tuning.  Olso: 1948.

Groven. Eivind. "My Untempered Organ,"  Organ Institute Quarterly, Vol. 3, 1955,

p. 34.

Groven, Eivind. Renstemningsautomaten. (Automated just intonation) Oslo: 1968.

Haba, Alois.  "Kwart-tonen-problemen," De Muziek. Amsterdam, 1927, p. 109.

Haba, Alois. "Meine Vierteltonoper Die Mutter," Anbruch Monatsschrift fuer

Moderne Musik, 1931.

Haba, Alois. Neue Harmonielehre.  Leipzig: F. R. Kistner and C. F. W. Siegel,

1927.

Haba, Alois. Mein Weg zur Viertel- und Sechstel-tonmusik.  Duesseldorf:

Gesellschaft zur Foerderung der systematischen Musikwissenschaft, 1971.

Haffner, Everett. "The Forty-Eight Revisited in Thirty-One," Well Tempered

Notes, November 1974, Motorola Scalatron Inc.

Hall, Donald E.  "A Systematic Evaluation of Equal Temperaments Through N=612,"

Interface, Vol. 14, pp. 61-73, 1985.

Hall, Donald E. "The Objective Measurement of Goodness-of-Fit for Tunings and

Temperaments," Journal of Music Theory 17: pp. 274-290, 1973.

Hall, Donald E. "Quantitative Evaluation of Musical Scale Tunings," American

Journal of Physics 42: pp. 543-552, 1974.

Handschin, Jacques. "Akustisches aus Russland," Gedenkboek aangeboden aan Dr. D.

F. Scheuerleer, 's-Gravenhage, Martinus Nijhoff, 1925.

Handschin, Jacques. Review of Ariel's Das Relativitaetsprinzip der Musikalische

Harmonie, Band I: Die Gesetze der inneren Tonbewegungen, das evolutionaere

Temperierungsverfahren und das 19 stufiges Tonsystem, Zeitschrift fuer

Musikwissenschaft, Vol. 8, 1926, pp. 579-583.

Handschin, Jacques. "Ueber reine Harmonie und temperierte Tonleitern,"

Schweizerisches Jahrbuch fuer Musikwissenschaft, Vol. 2, 1927, pp. 150-156.

Handschin, Jacques. Der Toncharakter.  Atlantis Verlag, Zurich 1948.

Hanson, Larry. "Development of a 53-Tone Keyboard Layout," Xenharmonikon 12,

1989, pp. 69-87.

Harvey, Jonathan. "Mortuos Plango Vivos Voco: A Realization at IRCAM," Computer

Music Journal, Vol. 5, No. 4, pp. 22-24.

Harvey, Jonathan. "Notes on the Realization of Bhakti," Computer Music Journal,

Vol. 8, No. 3, pp. 74-78.

Haynes,  Bruce.  "Beyond Temperament:  Non-Keyboard Intonation in the 17th and

18th Centuries," Early Music, August, 1991, pp. 357-381.

Helmholtz, Herrman L. F.  On the Sensations of Tone as a Psychological basis for

the Theory of Music. Original German edition: 1863.  2nd English Edition,

translated by Alexander James Ellis, with extensive notes, foreword and

afterword: 1885.  Reprint by Dover Publications, 1954.

Herf, Franz Richter & Rolf Maedel, Ekmelische Musik.  Edition Helbling, 1978.

Herf, Franz Richter, ed. Mikrotoene: Bericht ueber das 1. Internationale

Symposium Mikrotonforschung, Musik mit Mikrotoenen & Ekmelische Musik.

Innsbruck: Edition Helbling.  1985.

Herf, Franz Richter, ed. Mikrotoene II: Bericht ueber das 2. Internationale

Symposium Mikrotonforschung, Musik mit Mikrotoenen & Ekmelische Musik.

Innsbruck: Edition Helbling.  1987.

Herf, Franz Richter, Institut fuer Musikalische Grundlagenforschung, Band I.

Mikrotoene III: Bericht ueber das 3. Internationale Symposium Mikrotonforschung,

Musik mit Mikrotoenen & Ekmelische Musik.  Innsbruck: Edition Helbling.  1990.

Hesse, Horst-Peter.  "Breaking Into A New World Of Sound: Reflections On the

Ekmelik Music of the Austrian Composer Franz Richter Herf (1920-1989),"

Perspectives of New Music, 1992, Vol. 1, pp. 213-234

Hesse, Horst-Peter. Grundlagen der Harmonik in Mikrotonaler, Germany: Edition

Helbling, 1989.

Hill, Ralph David. "Just Intonation On a Home-Built Digital

Synthesizer-Computer," Interval, Vol. 4, No. 2, Fall 1983, pp. 15-22.

Hill, Ralph David. "An Example of the 48:49 Sixth-tone Step," 1/1, Vol. 4, No.

4, 1988, p. 14.

Hill, Ralph David. "Study of Whole Tones in Two Parts," 1/1, Vol. 5, No. 2,

1989, pp. 6-7.

Hill, Ralph David. "The Cro-Magnon Advanced Additive Analysis/Resynthesis

System," Proceedings of the 1991 International Computer Music Conference, 1991,

pp. 169-176.

Hill Ralph David.  Introduction To Non-Traditional Harmony. 2-hr. cassette and

accompanying notes. 

Hiller, Lejaren. "Electronic Synthesis of Microtonal Music," Microtonal Music in

America (Transcript of the Symposium of the American Society of University

Composers, Washington University, St. Louis, MO., April 1967.  Proceedings of

the ASUC 2.), pp 99-106.

Hitchcock, H. Wiley & Stanley Sadie, Eds. The New Grove Dictionary of American

Music. Entries for Tui St. George Tucker, John Eaton and Easley Blackwood.

MacMillan Press Ltd. London: 1980.

Holmes, Thomas B. Electronic Music--History and Criticism. New York: Charles

Scribner's Sons, 1985, pp. 32-41.

Howe, Hubert S. Jr. "Timbral Structures for Computer Music," Proceedings of the

International Conference on Computer Music, 1975, pp. 214-225.

Howe, Hubert S. Jr. "19-Tone Theory and Applications," catalog of papers

accepted for the 1993 ICMC. [e-mail message: Internet, 1993]

Howell, Thomas. The Avant-Garde Flute.  A Handbook for Composers and Flutists.

Berkeley: University of California Press, 1974.

Ives, Charles. "Some 'Quarter-Tone' Impressions," Franco-American Music Society

Bulletin, Vol. 25, No. 3, 1925: reprinted in Essays Before a Sonata and Other

Writings, ed. H. Boatwright, p. 105. New York: 1962.

Johnson, William A. "History of Electronic Music - Part One... A Hymn to the

Life and Times of Thaddeus Cahill (1867-1934)," Synthesis, Vol. 1, No. 2, 1971.

Johnston, Ben. "Beyond Harry Partch," Perspectives Of New Music Vol. 22 (1984):

pp. 223-232.

Johnston, Ben. "Rational Structure In Music," American Society of University

Composers Proceedings, 1976/1977, Vols. 1-2, pp. 102-118.

Johnston, Ben. "Rational Structure In Music: Part 1," 1/1, Vol. 2, No. 3, 1986,

pp. 9 sqq.

Johnston, Ben. "Rational Structure In Music: Part 2," 1/1, Vol. 2, No. 4, 1986,

pp. 12 sqq.

Johnston, Ben. "Proportionality and Expanded Pitch Resources," Perspectives of

New Music, Vol. 5, No. 1, 1966, pp. 112-120.

Johnston, Ben. "Letter From Urbana," Perspectives of New Music, Vol. 2, No. 1,

Fall-Winter 1963, pp. 137-141.

Johnston, Ben. Phases 1a.  Score and computer program published in Vol. 1 of

Source: Music of the Avant-Garde, pp.

Johnston, Ben. "Three Attacks On A Problem," Microtonal Music in America

(Transcript of the Symposium of the American Society of University Composers,

Washington University, St. Louis, MO., April 1967.  Proceedings of the ASUC 2.),

pp. 89-98.

Johnston, Ben. "Scalar Order As A Compositional Resource," Perspectives of New

Music, Vol 2, No. 2, pp. 56-76. 1964

Johnston, Ben. "Tonality Regained," Proceedings of the American Society of

University Composers, Vol. 6, 1971, pp. 113-119.

Jorgenson, Owen. Tuning the Historical Temperaments By Ear. Marquette: Northern

Michigan University Press: 1977.

Joergenson, Owen. The Equal-Beating Temperaments. The Sunbury Press, 1981.

Jurgrau, Robert, Johnny Reinhard and Tui St. George Tucker, editors. "Microtonal

Music," Ear Magazine East, Vol. 7, No. 5, 1982, 1983.

Kallenbach-Greller, L. "Die Historischen Grundlagen der Vierteltoene," Annalen

der Musikwissenschaft, Vol. 8, p. 473, 1926.

Karpen, Richard, Douglas Keislar and Jerome Kohl, eds.  "Forum: Microtonality

Today," Perspectives of New Music, Vol. 39  no. 1, 1992, pp. 173-175.

Kassel, Richard. "Harry Partch In the Field," MusicWorks 51, Autumn 1991, pp.

6-15.

Kelley, Clarence Moore. Atlas of the Natural Enharmonic Scale and the Equal

Temperament Chromatic Scale. Dedham, MA: 1930.

Keislar, Douglas. "A Programmable Microtonal Keyboard," Interval, Vol. 5, No. 2,

Spring 1986, pp. 6-9

Keislar, Douglas. "History and Principles of Microtonal Keyboards," Computer

Music Journal, Spring 1987, pp. 18-28.

Kimball, Buzz. "Just Modulation Computer Program & 13-Tone ET Score,"

Xenharmonikon 13, Spring 1991, pp. 65-70.

Kirck, George T. "Computer Realization of Extended Just Intonation

Compositions," Computer Music Journal, Spring 1987, pp. 69-75.

Klein, Sigmund.  "Quarter-Tone Data," Pro Musica Quarterly,  March, 1925, 21.

Kornerup, Thorwald. Die Hochteilung der Oktave. Kopenhagen: 1930.

Kornerup, Thorwald. Von der Urform 5-Toniger Skalen zu den Goldenen Tonen

Elektrischer Instrumente. Kopenhagen: 1931.

Kornerup, Thorwald. Das Tonsystem des Italieners Zarlino. Self-published

pamphlet. Copenhagen, 1930, 16 pp.

Kornerup, Thorwald. Acoustic Methods of Work. Translated by Maurice Baruel.

Copenhagen: Aschehoug Forlag, 1934.

Kornerup, Thorwald. Acoustic Valuation of Intervals.  Translated by Jean

Ferguson.  Copenhagen: Aschehoug Forlag, 1938.

Kornerup, Thorwald. Akustiche Gesetze fuer die Akkordbildung.  Copenhagen, 1930.

Kornerup, Thorwald. Das Goldene Tonsystem.  Copenhagen: Aschehoug Forlag, 1935.

Kornerup, Thorwald.  Die Vorlaufer der gleichschwebende Temperaturen mit 19 oder

31 Tonen in der Oktave.  Translated from Danish to German by P. Friedrich

Paulsen.  Copenhagen: J. Joergensen, 1930.

Kostelanetz, Richard.  "A Conversation, In Eleven-Minus-One Parts, With Lou

Harrison about Music/Theater," The Musical Quarterly, 1992, p. 383-ff.

Kulbin, N. Free Music. Self-published pamphlet: Moscow, 1915.

Kuttner, Fritz A. and J. Murray Barbour. Meantone Temperament in Theory and

Practice.  Introductory Notes. New York: Musurgia Records A-3, 1958.

Kuttner, Fritz A. and J. Murray Barbour. The Theory and Practice of Just

Intonation.  Introductory Notes. New York: Musurgia Records A-3, 1958.

Kuttner, Fritz A. and J. Murray Barbour. The Theory of Classical Greek Music.

Introductory Notes. New York: Musurgia Records A-3, 1958.

Leedy, Douglas. "A Selective List of Source Materials On Alternative Tuning

Systems in American Music," Interval, Vol. 4, No. 2, 1983, pp. 7-9.

Leedy, Douglas. "Notes on An Overlooked Temperament," Perspectives Of New Music,

Vol. 39, No. 2, 1992, pp. 204 sqq.

Leedy, Douglas. "String Quartet (1965-1975), I.S.I.M.," Xenharmonikon 9, 1986.

(no page numbers)

Leedy, Douglas. "New Music for an Old Temperament?"  Interval, Vol. 4, No. 1,

Winter 1982-3, pp. 16-19.

Lenormand, Rene. A Study of Twentieth Century Harmony. Translated by Herbert

Antcliffe.  Boston: B. T. Wood, 1940.

Leuba, Christopher.  A Study of Musical Intonation. Seattle: Prospect

Publications, 1962. 2nd revised edition, 1980.

Lewin, David. Generalized Musical Intervals and Transformations.  Yale

University Press: New Haven-London, 1987.

Lichte, W. H. "One Man's Preferred Pitch," American Journal of Psychology,

1955.

Loeppky, D. and D. Fallowfield, "Keyboard and Interface Unit for a Nineteen Tone

per Octave Synthesizer." Undergraduate thesis, University of Manitoba Department

of Electrical Engineering, 1979.

Lord, Richard H. "Tuning the Ensoniq Mirage," 1/1, Vol. 3, No. 4, Autumn 1987,

pp. 1 sqq.

Lloyd, L.S. and Boyle, Hugh.  Intervals, Scales and Temperaments.  New York: St.

Martin's Press. 1963.

Lucy, Charles. Pitch, Pi and Other Musical Paradoxes.  Self-published: 1984.

Lyon, Raymond. "Musique experimentale: UNESCO concert."  Guide du concert, Nov.

14, 1958.

McClure, A. R. "An Extended Meantone Organ," The Organ, Vol. 30, 1950-1, p.

139.

McGeary, Thoma, ed. Bitter Music: Collected Journals, Essays, Introductions, and

Librettos [sic] of Harry Partch. University of Illinois Press: 1991.

McLaren, B. "The Uses and Characteristics of Non-Octave Scales," Xenharmonikon

14, 1993.

McLaren, B. "General Methods of Generating Musical Scales," Xenharmonikon 13,

1990.

McLaren, B. "Those Difficult Teens (and Other Microtonal Scales)," Xenharmonikon

14, 1991.

McLaren, B. "A Nostalgic Look At the 20s--and Other Musical Scales,"

Xenharmonikon 14, 1991.

McLaren, B. "The Low Profile of Those Higher Divisions of the Octave,"

Xenharmonikon 14, 1991.

McLaren, B. "The Uses and Characteristics of Non-Just Non-Equal-Tempered

Scales," Xenharmonikon 15, 1993.

Macfadyen, K.A. and D. Greer. "A Detunable Organ," Music Theory, Vol. 110, 1969,

pp. 612 sqq.

Maconie, Robin. The Works of Karlheinz Stockhausen, 2nd Edition, Clarendon

Press: Oxford. 1990,. Chapter 4, pp. 45-61.

Mager, Joerg. Vierteltonmusik. Aschaffenburg: 1915.

Mager, Joerg. Eine neue Epoche der Musik durch Radio.  Berlin: 1924.

Mancini, Patricia and Joseph. "On Just Intonation, Melodic Inflection and the

Spiritual Source of Music: Terry Riley," Keyboard, July 1986, pp. 52-65.

Maneri, Joseph Gabriel. Preliminary Studies In the Virtual Pitch Continuum.

Plainview, New York: Accentuate Music, 1986.

Mandelbaum, Joel. "31-Tone Temperament: The Dutch Legacy," Ear Magazine East,

November/December, January, 1982/1983.

Mandelbaum, Joel.  "The Microtonal Dimension In 'The Dybbuk,'" Interval, Fall

1985, pp. 28-29.

Mandelbaum, Joel. "The Isolation of the Microtonal Composer," Microtonal Music

in America (Transcript of the Symposium of the American Society of University

Composers, Washington University, St. Louis, MO., April 1967.  Proceedings of

the ASUC 2.), pp. 107-112.

Mandelbaum, Joel. "Toward the Expansion of Our Concepts of Intonation,"

Perspectives of New Music, Vol. 13, No. 1, Fall-Winter 1974a, pp. 216-226.

Mandelbaum, Joel. "In Memoriam: Harry Partch (1901-1974)," Perspectives of New

Music, Vol. 13, No. 1, Fall-Winter 1974b, p. 239.

Mandelbaum, Joel. Multiple Division of the Octave and the Tonal Resources of the

19-Tone Equal Temperament.  Ph.D. thesis, University of Indiana, 1961.

Marie, Jean-Etienne.  L'Homme Musicale.  Paris: 1983.

Marie, Jean-Etienne. "Musique electronique, experimentale et concrete."  In

Alexis Roland-Manuel, ed., Histoire de la musique Pleide, II.  Paris: 1963.

Marie, Jean-Etienne. Musique Vivante. Paris: 1953.

Marie, Jean-Etienne. "Julian Carrillo," Nouvelles du Mexique, Vols. 43-44,

1965-6, pp. 3 sqq.

Mather, Bruce. Program Notes for the concert Homage To Ivan Vyshnegradsky.

January 8, 1993.

Mathews, M.V. and Guttman N. "Generation of Music by a Digital Computer,"

Proceedings of the Third International Congress on Acoustics. Amsterdam:

Elsevier Publishing Company, 1959.

Mathews, Max V. "An Acoustic Compiler for Music and Psychological Stimuli," The

Bell System Technical Journal, pp.  677-694, May,1961.

Mathews, Max and John R. Pierce. "The Pierce-Bohlen Scale," Current Directions

in Computer Music Research, 1990, ed. Max V. Mathews, MIT Press, pp. 165-173

(Chapter 13)

Mathews, Max and John R. Pierce. "Theoretical and Experimental Explorations of

the Bohlen-Pierce Scale,"  Journal of the Acoustical Society of America, 1988,

Volume 84, pp. 1214-1222

Mathews, Max and John R. Pierce. "Harmony and Nonharmonic Partials," IRCAM

Report No. 28, 1980

Mayfield, S. N. "Student Devises 29-Degree Octave Theory of Music," New Orleans

Times-Picayune [article], 16 Nov., 1930.

Meyer, Max. Contributions To A Psychological Theory of Music.  Volume 1:

University of Missouri, 1901.

Meyer, Max. The Musician's Arithmetic. Boston: Oliver Ditson and Company, 1929.

Meyer, Max. "Listeners can be Seduced to Perceive the Paradoxic Ratio 51:87 as

either One or Another Truly Melodic Interval," Journal of the Acoustical Society

of America, Vol. 34, 1962.

Meyer, Max. "Zur Theorie Japanischer Musik," Zeitschrift fuer Psychologie und

Physiologie der Sinnesorgane, Vol. 33, 1903.

Meyer, Max. "Experimental Studies in the Psychology ofMusic," American Journal

of Psychology, Vol. 14, 1903.

Meyer, Max. "Unscientific Methods in Musical Esthetics," Journal of Philosophy,

Psychology and Scientific Methods, Vol. 1, 1904.

Meyer, Max. How We Hear: How Tones Make Music. Boston: 1950.

Meyer, Max. Autobiography.  1920.

Mellers, Wilfrid. "An American Aboriginal," Tempo, Vol. 56, Spring, 1963, pp.

2-6.

Mitchell, Danlee. "The Tuning of Harry Partch's 43-Tones-To-The-Octave Just

Intonation Scale, and Its Musical Endowments and Consequences." Unpublished

speech to the 106th meeting of the Acoustical Society of America in San Diego,

1983.

Moellendorf, Willi. Musik mit Vierteltoenen, Leipzig, Verlag von F. E. C.

Leuckart, 1917. 

Moreno, Enrique.  Expanded Tunings in Contemporary Music: Theoretical

Innovations and Practical Applications, Edwin Mellen Press: 1992.

Morgan, Robert P. Anthology of Twentieth Century Music. New York: W. W. Norton

and Co., 1992, pp. 393-412.

Morrison, Gary. "Decimal Music," Xenharmonikon 7-8, 1979, pp. 1-4.

Morrison, Gary. "Ten Equal: The Other Side of the Coin," Interval, Vol. 2, No.

1, Fall 1979, pp. 7-8.

Morrison, Gary Roy. "A Quick Excursion Into Octave-Repeating,

Harmonic-Series-Based Scales," 1/1, Vol. 1, No. 2, 1985, pp. 8-10.

Morrison, Gary. "A Graphical Technique for Finding Equally-Tempered Scales by

their Harmonic Resources," Xenharmonikon 13, Spring 1991, pp. 90-94.

Mumma, Gordon. "Live-Electronic Music," in The Development and Practice of

Electronic Music, Ed. Jon H. Appleton & Ronald C. Perera, Prentice-Hall, Inc:

Englewood Cliffs, New Jersey: 1975, pp. 286-355.

Murzin, Yevgeny. "ANS -- Elektronnyi instrument dlya kompozitorov," Moskva,

Soyuz Kompositorov RSFSR, 1965.

Negri, John.  "The Nineteen-Tone System as Ten Plus Nine," Interval, Winter

1986-1987, pp. 11-12.

Nicholl, Matthew James. "Harry Partch: 'And on the Seventh Day Petals Fell on

Petaluma,'" unpublished Master's thesis. North Texas State University, 1982.

Norden, N. Lindsey. "A New Theory of Untempered Music," The Musical Quarterly,

Vol. 22, No. 2, APril 1936, pp. 217-233.

Norden, N. Lindsey. "A New Study of Intervals," Organ Institute Quarterly," Vol.

5, No. 1, Winter, 1955, p. 31.

Novaro, Augusto. Sistema Natural Base del Natural-Aproximado.  Mexico, 1927.

Novaro, Augusto. Sistema Natural de la Musica.  Mexico, 1951.

Nunn, Tom. "The Entire Field of Sound," Interval, Vol. 1, No. 2, 1979, pp. 22

sqq.

Nunn, Tom. Liner notes for cassette Plate Techphonics. 1991.

Ogolevets, Aleksei Stepanovich. Foundations of Harmonic Language. Moscow: 1941.

Ogolevets, Aleksei Stepanovich. An Introduction To Contemporary Musical Thought.

Moscow: 1948.

Oldani, Norbert L.  "A Generalization of Helmholtz's Harmonic Model to

Nineteen-Tone Equal Temperament," Interval, Winter 1986-1987, pp. 10-11.

Oldani, Norbert L. "Classical Techniques Revisted," 1/1, Vol. 6, No. 2, p. 11

sqq.

Olson, Harry F.  Music, Physics and Engineering (formerly titled Musical

Engineering). 1st Ed. 1952, 2nd Edition: Dover Publications, Inc. New York:

1964

Orrego-Salas, J. A., ed. "Microfilm Special Collection--Carrillo," Music from

Latin America Available at Indiana University: Scores, Tapes and Rcords.

Bloomington, Indiana: 1971.

Overmeyer, Grace. "Quarter Tones and Less," The American Mercury, Vol. 12,

October 1927, pp. 207-210.

Partch, Harry.  Genesis Of A Music: An Account of a Creative Work, Its Roots and

Its Fulfillment.  2nd Edition, New York: Da Capo Press, 1974.  1st edition

1949.

Partch, Harry. "Ratio Keyboard Design Chart--With Text,"  original diagram and

text 1933; reprinted in Interval, Vol. 5, No. 3, Winter 1986-1987 p 15.

Partch, Harry.  "A New Instrument," Musical Opinion, London, 1935,  pp. 764-5.

Partch, Harry. "Show Horses in the Concert Ring," Circle,  no. 10, p. 43, 1948.

Reprinted in Soundings no. 1, p. 66, 1972.

Partch, Harry. "The Ancient Magic," Music Journal, June-July, 1959, pp. 16-18,

45-47.

Partch, Harry. "Lecture," Source: Music of the Avant Garde, ed. Larry Austin,

Vol. 1, January, 1967, p. 103.

Partch, Harry. "No Barriers," Impulse, Summer pp. 9 ff. 1952.

Partch, Harry. "Manual on the Maintenance and Repair of- and the Musical and

Attitudinal Techniques for- Some Putative Musical Instruments," Interval, Vol.

1, No. 2, pp. 8 sqq.

Partch, Harry. "Manual on the Maintenance and Repair of- and the Musical and

Atittudinal Techniques for- Some Putative Musical Instruments (Part 2),"

Interval, Vol. 1, No. 3, pp. 7 sqq.

Partch, Harry. "Manual on the Maintenance and Repair of- and the Musical and

Atittudinal Techniques for- Some Putative Musical Instruments (Part 3),"

Interval, Vol. 1, No. 4, pp. 16 sqq.

Partch, Harry. "Harry Partch Reviews Yasser's Theory of Evolving Tonality,"

Interval, Vol. 5, No. 1, Spring 1984, pp. 6-7, 31.  (Original unpublished

manuscript from the 1940s, probably written for a now-defunct newspaper.)

Pelinski, Ramon. "Upon Hearing a Performance of the Well-Tuned Piano.  An

Interview with LaMonte Young and Marian Zazeela..." Parachute, Vol. 19, Summer

1980, pp. 4-19.  Reprinted in Interval, Vol 4, No. 3, Spring 1984, pp. 13-20.

Perkis, Tim. "Just Intonation on Yamaha's New FM Synths," Electronic Musician,

July 1988, pp. 98-107.

Perrett, Wilfrid. Some Questions of Musical Theory. Cambridge: W. Heffner and

Sons, Ltd. 1926.

----------------, 1928, Ibid.

----------------, 1931, Ibid.

----------------, 1934, Ibid.

Pierce, Edwin Hall. "A Colossal Experiment in 'Just Intonation,'" The Musical

Quarterly, Vol. 10, No. 3, July 1924, pp. 326-332.

Pierce, John R. "Attaining Consonance in Arbitrary Scales," Journal of the

Acoustic Society of America [letter].

Pierce, John R. and Max Mathews. "Four New Scales Based On

Nonsuccessive-Integer-Ratio Chords," Journal of the Acoustical Society of

America Supplement, 1984, Vol. 75, S10

Pierce, John R. and Max Mathews.  "Control of Consonance and Dissonance with

Nonharmonic Overtones," Music by Computers,  ed. von Foerster and Beauchamp, pp.

129-132.  New York: 1969.

Pierce, John R. The Science of Musical Sound.  New York: 1984.

Pike, Alfred. "The Discoveries and Theories of Julian Carrillo 1875-1965,"

Inter-American Music Bulletin 55, September 1966.

Pikler, A. G. "History of Experiments On the Musical Interval Sense," Journal of

Music Theory, Vol. 10, No. 1, Spring 1966, pp. 54-95.

Pikler, A. G. "Measurement of the Octave sense."  Unpublished paper, presented

to the Eastern Psychologyical Association, April 8, 1961, Philadelphia.

Pikler, A. G. "Measurement of the Musical Interval Sense." Unpublished paper,

presented to the Eastern Psychological Association, New York, April 15, 1960.

Pikler, A. G. and J. D. Harris. "Measurement of the Musical Interval Sense,"

Journal of the Acoustical Society of America, Vol. 23, 1961.

Polansky, Larry. "Notes of A Lousy Carpenter," 1/1, Vol. 1, No. 1, 1985, pp. 1

sqq.

Polanksy, Larry. "The HMSL Intonation Environment," 1/1, Vol. 3, No. 1, 1987,

pp. 4-12.

Polanksy, Larry. "Paratactical Tuning: An Agenda for the Use of Computers in

Experimental Intonation," Computer Music Journal, Vol. 11, No. 1, Spring 1987.

Poole, H. W. "An Essay on Perfect Intonation in the Organ," American Journal of

Sciences and the Arts, 2nd. series, Vol. 9, pp. 68, 199, 1850.

Poole, H. W. "Perfect Harmony in Music," American Journal of Science and the

Arts, Vol. 44, July, 1867.

Pousseur, Henri.  "Une Experience de Musique Microtonale: 19th root of 8/4 for

Violoncelle Solo," Interface, Vol. 14, pp. 11-44, 1985.

Pressing, Jeff. "Tuning System Data," Interval, Vol. 2, No. 1, Fall 1979, pp.

119-122.

Prior, Glen.  Notes for LP Moustache Blue. 1978.

Prooijen, Kees van. "A Theory of Equal-Tempered Scales," Interface, Vol. 7, pp.

45-56, 1978.

Radice, Mark. "Futurismo: Its Origins, Context, Repertory, and Influence," The

Musical Quarterly, 1989, pp. 1-17

Rais, Mark. "The Microtonal System of Jaan Soonvald." Leonardo Music Journal,

Vol. 1, No. 2, 1991.

Rankin, Mark. "Microtonal Templates for Guitar," Pitch: For the International

Microtonalist, Vol. 1, No. 4, 1990, pp. 128-129.

Rapoport, Paul. "Toward the Infinite Expansion of Tonal Resources," Tempo,

1980, pp 7-10.

Rapoport, Paul. "Just Inton(ot)ation," 1/1, Fall 1992, Vol. 7 No. 1, pp. 14-16.

Rapoport, Paul. "Notes Toward Quasi-Triskaidekaphilia," Xenharmonikon 13, Spring

1991, pp. 45-53.

Rapoport, Paul. "Too Many Signs of Too Few Temperaments," unpublished CUMS

lecture, May 28, 1991.

Rapoport, Paul. "Some Temperaments are More Equal Than Others--and Decidedly

More Temperamental," MusicWorks 43, 1989, pp. 8-12.

Rasch, Rudolf.  "Integer Approximation of Musical Scale Frequencies," Interface,

Vol. 15, 1986, pp. 25-34.

Rasch, Rudolf.  "Relations between Multiple Divisions of the Octave and the

Traditional Tonal System," Interface, Vol. 14, pp. 75-108, 1985.

Rasch, Rudolf. "Review of Gardner Read, 20th-Century Microtonal Notation,"

Perspectives of New Music, Vol. 39, No. 1, 1992, pp. 258-262.

Rasch, Rudolf. "Description of Regular Twelve-Tone Musical Tunings," Journal of

the Acoustical Society of America, Volume 73, No. 3, March 1983, pp. 1023-1035.

Rasch, Rudolf. "The Theories of Adriaan Fokker, Part One," 1/1, Vol. 4, No. 1,

1988, p. 4.

Rasch, Rudolf. "The Theories of Adriaan Fokker, Part Two," 1/1, Vol. 4, No. 2,

1988, p. 6.

Rasch, Rudolf, ed. Corpus Microtonale, Vol. 1: Adriaan Daniel Fokker--Selected

Compositions, with introduction by Rudolf Rasch. Utrecht: 1987.

Rayna, David. "Two Special Keyboard Projects," 1/1, Vol. 2, No. 3, Summer 1986,

pp. 4 sqq.

Read, Gardner. 20th-Century Microtonal Notation. Westport, Connecticut:

Greenwood Press, 1990.

Regener, E. Pitch Notation and Equal Temperament. Berkeley: University of

California Press, 1973.

Regener, E. "The Number Seven in the Theory of Intonation," Journal of Music

Theory, Vol. 19, No. 1, Spring 1975, pp. 140-135.

Reinhard, Johnny. The Microtonal Bassoon. Filmkunst-Musikverlag, 1986.

Reinhard, Johnny. "Rational/Irrational," 1/1, Vol. 3, No. 3, Summer 1987, pp. 6

sqq.

Reinhard, Johnny. "Schoenberg's Conception of Tonality," 1/1, Vol. 5, No. 3,

1989, pp. 4-7.

Reinhard, Johnny. Pitch: For the International Microtonalist. Vol. 1, No. 1,

1986.

Reinhard, Johnny. Pitch: For the International Microtonalist. Vol. 1, No. 2,

1988.

Reinhard, Johnny. Pitch: For the International Microtonalist. Vol. 1, No. 4,

1990. [Vol. 3 is a cassette]

Reinhard, Johnny. "Maqam: Middle Eastern Tuning," Pitch: For the International

Microtonalist, Vol. 1, No. 4, 1990, pp. 4-9.

Rhea, Thomas. The Evolution of Electronic Musical Instruments in the United

States. Ph.D. thesis. Nashville: George Peabody College, 1972.

Rhea, Thomas. "The History of Electronic Musical Instruments," in The Art of

Electronic Music, ed. G. Armbruster. New York: Quill, 1984.

Rhea, Thomas. Review of "Reynold Weidenaar: The Telharmonium: A History of the

First Music Synthesizer, 1893-1918." Computer Music Journal, Vol. 12, No. 3,

1988, pp. 59-62.

Rich, Robert. "A Just Intonation Calculator," 1/1, Vol. 4, No. 4, 1988, p. 4

Rich, Robert. "Just Intonation for MIDI Synthesizers," Electronic Musician, Vol.

2, No. 11, November 1986, pp. 32-45.

Rich, Robert. "Harmonic Scales for Guitar," 1/1, Vol. 3, No. 1, 1987, pp.

13-15.

Rich, Robert. "Tuning and Transposition on the Prophet Five," 1/1, Vol. 1, No.

4, 1985, pp. 4 sqq.

Rimsky-Korsakov, Georgy. "The Basis of the Quarter-Tone Musical System," De

Musica, Vol. 1, Leningrad, 1925.

Rimsky-Korsakov, Georgy. "Theorie und Praxis der Reintonsysteme," Melos, Vol. 7,

1928, p. 15.

Risset, Jean-Claude.  "Computer Music Experiments: 1964-..."  Computer Music

Journal, Volume 9,   No. 1, Spring 1985, pp. 11-18.

Roads, Curtis. "Interview With Max Mathews," Computer Music Journal, Vol. 4 No.

4, 1980, pp. 15-22.

Roberts, Arthur. "Some New Developments in Computer-Generated Music," In Music

by Computers, H. von Foerster and J. Beauchamp, eds, New York: John Wiley and

Sons, 1969, pp. 63-68.

Roberts, Linda A. and Max Mathews. "Intonation Sensitivity in Traditional and

Non-Traditional Chords," Journal of the Acoustical Society of America, 1984,

Volume 75, pp. 952-959

Rothenberg, David. "A Model for Pattern Perception with Musical Applications.

Part 1: Pitch Structures as Order-Preserving Maps."  Mathematical Systems

Theory, Vol. 11: pp. 199-234, 1978.

Rothenberg, David. "A Pattern Recognition Model Applied To the Perception of

Pitch," Technical report.  U.S. Air Force Office of Scientific Research: Grant

68-1596; 1969.

Rothenberg, David. "A Mathematical Model for Perception Applied to the

Perception of Pitch," Lecture Notes in Computer Science: Formal Aspects of the

Cognitive Process.  Ch. 22, pp. 127-141.  G. Goos and J. Harmanis, eds.

Russolo, Luigi.  "Enharmonic Notation for the Futurist Intonarumori,"

self-published pamphlet, March 1, 1914.

Sabaneev, A. N. "The Possibility of Quarter-tone and Other New Scales,"

[translated by S. W. Pring] The Musical Times, June, 1929.

Sachs, Melchior E. "Das temperierte 19-Tonsystem und eine dafuer passende

Schrift," Report of the Fourth Congress of the International Musical

Society--London, May, 1911, pp. 279-281.

Schafer, Tillman and W. A. Piehl.  "Musical Instruments in Nineteen-Tone Equal

Temperament," Acoustical Society Journal, 1947, p. 730.

Schafer, Tillman.  The Music of Tomorrow: The Supra-Diatonic Scale, A New

Concept of Timbre; The Electronic Musical Instrument.  Unpublished Ph.D. thesis,

Mills College.  1941.

Schlesinger, Kathleen.  The Greek aulos. London: Methuen & Co, 1939.

Schlesinger, Kathleen. "Further Notes on Aristoxenos and the Intervals of Greek

Music," Classical Quarterly, Vol. 27, 1933, pp. 88-96.

Scholz, Carter. "Tuning and the Ensoniq EPS," 1/1, Vol. 5, No. 4, pp. 4-6.

Scholz, Carter. "Do-It-Yourself-Software: Just Intonation," Keyboard, February

1986, pp. 49-143.

Scholz, Carter. "The E! Evaluation," 1/1, Vol. 3, No. 4, Autumn 1987, pp. 2-6.

Scholz, Carter. "A Program to Calculate Ratios," 1/1, Vol. 4, No. 2, 1987, p. 2

Scholz, Carter. Program notes for Epimores [private communication]

Scholz, Carter. "The MIDI Tuning Dump Standard (version 0.03)," 1/1, Vo. 5, No.

3, 1989, pp. 8-9.

Schottstaedt, William. "PLA: A Composer's Idea of A Computer Language," Computer

Music Journal, Vol. 7, No. 1

Schneider, S. Mikrotoene in der Musik des 20. Jahrhunderts. Bad Godesberg:

1975.

Schwab, William. "Quarter Tones for the Saxophone," The Saxophone Symposium,

Vol. 1, No. 1, Winter 1976, pp. 7-9.

Secor, George. "New Scales," Interval, Vol. 1, No. 1, Spring 1978, pp. 4-6.

Secor, George. "New Scales: 17-Tone Well Temperament, Secor 19-Plus-3,"

Interval, Vol. 1, No. 1, 1978, pp. 3-4.

Seletsky, Harold. "Quartertone Fingerings for the Boehm System Clarinet," Pitch:

For the International Microtonalist, Vol. 1, No. 4, pp. 88-92.

Sethares, William. "Relating Timbre to Tuning," Experimental Musical

Instruments, Vol. 9, No. 4. pp.

Shinn, Randall. "Ben Johnston's String Quartet No. 4," Perspectives of New

Music, Vol. 15, No. 2, Spring-Summer 1977, pp. 145-173.

Siegel, Jules. "The Emancipation of the Higher Members of the Harmonic Series,"

1/1, Vol. 6, No. 2, 1990, p. 1 sqq.

Siegel, Jules. "Emu Proteus for Just Intonation," 1/1, Vol. 6, No. 2, 1990, pp.

14 sqq.

Siegel, Jules. "Algorithmic Tuning Via MIDI," 1/1, Vol. 3, No. 4, Autumn 1987,

pp. 4-6.

Sims, Ezra.  "Reflections on This and That: Perhaps A Polemic," Perspectives of

New Music, Vol. 39 No. 1, 1992, pp. 236-257.

Sims, Ezra. "A 72-Tone Just Computer System," 1/1, Vol. 5, No. 1, 1989, pp. 1

sqq.

Sims, Ezra. "Harmonic Ordering in Quintet (1987)," in Mikrotoene III: Bericht

ueber das 3. Internationale Symposium in Salzburg, ed. Horst Peter Hesse.

Edition Helbling: 1989.

Sims, Ezra. "Yet Another 72-Noter," Computer Music Journal, Vol. 12, No. 4,

Winter 1988, pp. 28-45.

Smith, Jeff. "The Partch Reverberations: Notes on a Musical Rebel," The San

Diego Reader, Sept. 25, 1980.

Smith, Patricia Ann.  The Thirteenth Sound of Julian Carrillo: Translation and

Study.  Unpublished Master's thesis. UCSD: 1972.

Sohl, Norm, Stephen Smith and Jonathan Schever. "Microtonal Music," OP, 1983. 

Sohl, Norman. "Mapping Tonality," 1/1, Vol. 2, No. 4, Autumn 1986, pp. 1 sqq.

Stayton, Jeff and B. McLaren.  Liner notes for CD Xenharmonix [in press].

Copyright Jeff Stayton, 1992.

Stein, Richard H. "Vierteltonmusik," Die Musik, Vol. 15, 1922-3, pp. 510 sqq.

Steiner, Joachim. "Einfluss der reinen Stimmung auf die Entwicklung der Musik,"

Bericht von III Kongress der Internationalen Musikgesellschaft. Wien: Artaria

and Co., 1909, p. 387.

Stockhausen, Karlheinz. "Actualia," Die Reihe No. 1, p. 50.  Original German

edition 1955,  English edition 1958.

Stockhausen, Karlheinz. "Komposition 1953 No. 2," Technische Hausmitteilungen

des Nordwestdeutschen Rundfunks, Vol. 6, Nos. 1-2, 1954, p. 46.

Stoney, W. "Theoretical Possibilities for Equally Tempered Musical Systems."

pp. 162-171 in The Computer and Music, ed. H. B. Lincoln.  Ithaca: Cornell

University Press, 1970.

Sweidel, Martin. "A Short History of Thirty-One Tones to the Octave,"

Xenharmonikon 7-8, 1979, pp. 1-8.

Tanaka, Shohei. "Studien im Gebiete der reinen Stimmung," Verzeichnis fuer

Musikwissenschaft, Vol. 6, pp. 1-90, 1890.

Tenney, James. "Computer Music Experiments, 1961-1964" Electronic Music Reports

1, 1969, pp. 23-60.

Tenney, James.  "Sound Generation By Means Of A Digital Computer," Journal of

Music Theory, Vol. 7, No. 1, 1963, pp. 24-70.

Terhardt, E.  "Pitch, Consonance and Harmony."  Journal of the Acoustic Society

of America, Vol. 55, 1974, p. 1061-ff.

Terpstra, Siemen. "The Modular Keyboard: Novel Tuning for Midi Synthesizers,"

Interval, Vol. 5, No. 2, Spring 1986, pp. 1 sqq.

Terpstra, Siemen. "Means to Music," 1/1, Vol. 4, No. 1, 1988, pp. 11-14.

Terpstra, Siemen. "Simplified Tuning Procedure for Strings," 1/1, Vol. 4, No. 3,

1987, p. 6.

Terpstra, Siemen. "The Octave Law and Natural Resonances," 1/1, Vol. 2, No. 2,

1986, pp. 4-6.

Terpstra, Siemen. "Reflections On An Improved Notation System for 53-Tone Equal

Temperament and Just Intonation," Interface, Vol. 14, 1985.

Terpstra, Siemen. A Short Introduction To the Intonational Research of Siemen

Terpstra. Self-published: 1985.

Terry, K. "LaMonte Young: Avant-Garde Visionary Composer and Pianist,"

Contemporary Keyboard, Vol. 6, No. 8, 1980, pp. 12 sqq.

Tipple, Esther. A Graphic Introduction to the Mercator Musical Cycle. Cambridge,

Mass.: 1946.

Toop, Richard. "Stockhausen's Electronic Works: Sketches and Work-Sheets from

1952-1967," Interface, Vol. 10, 1981, pp. 149-197.

Toop, Richard. "Sulle Scale Della Fenice," Perspectives of New Music, Vol. 39,

No. 2, 1992, pp. 73-105.

Tozian, Gregory.  "Harry Partch: The Dreamer Whose Instruments Still Remain."

Organica, Summer 1989.

Tucker, Tui St. George. "Composing with Quarter-Tones for Recorder," Ear

Magazine East, Vol. 6, No. 3, April-May 1981, pp. 6-7.

Tucker, Tui St. George. "Composing With Quartertones and Chart," Pitch: For the

International Microtonalist, Vol. 1, No. 4, 1990, pp. 26-28.

Tucker, Tui St. George. "Alto Recorder Finger Chart Showing Quarter Tones,"

published with: Sonata and Romanza for Solo Recorder by Tui St. George Tucker.

New York: Anfor Editions, 1970.

Vail, Mark. "The Fairlight CMI - Trailblazing Megabuck Sampler," Keyboard, Vol.

18, No. 8, August 1992, pp. 136-137.

Valenzuela, Pedro Michaca. "La Heterofonia Basada en la Escala 7a de la Serie de

los Armonicos Naturales," Heterofonia, Vol. 5, No. 29, pp. 5-11, 1973.

Vandenheede, Jan. "Jonathan Harvey's Ritual Melodies," Interface, Vol. 21, 1992,

pp. 149-183.

Velasco-Urda, J. Julian Carrillo: su vida y su obra. Mexico City: 1945.

Vogel, Martin. Zahl 7 in der Spekulativen Musiktheorie.  Unpublished Ph.D.

Thesis (in German): 1955.

Vogel, Martin. Die Zukunft der Musik. Band 8 der Orpheus-Schriftenreine zu

Grundfragen der Musik. (Volume 8 in the Orpheus library of fundamental questions

in music.) Duesseldorf: 1968.

von Gunden, Heidi. The Music of Ben Johnston, 1986.  Scarecrow: Metuchen, New

Jersey.

von Foerster, H. and J. Beauchamp, Eds., Music by Computers. New York: John

Wiley and Sons, 1969.

von Horner, Sebastian. "The Definition of Major Scales with Chromatic Scales of

12, 19 and 31 Divisions per Octave," Psyschology of Music, Vol. 4, No. 1, 1976,

pp. 12-23.

von Janko, Paul.  "Ueber mehr als zwoelfstufige gleichschwebende Temperaturen,"

Beitrage zur Akustik und Musikwissenschaft (1901), 6.

von Janko, Paul. Eine neue Klaviatur.  Vienna: 1886.

Vyshnegradksy,  Ivan.  "Manual of Quartertone Harmony," translated by Ivor

Darreg.  1985.  With foreword by Darreg.

Vyshnegradsky, Ivan. "Problemes d'Ultrachromatisme," Polyphonie, Cahier 9, p.

129.

Vyshnegradsky, Ivan. "Quartertonal Music, Its Possibilities and Organic

Sources," Pro Musica, October 1927, p. 19.

Vyshnegradsky, Ivan. "Ultrachromatisme et espaces non-octaviant," La Revue

Musicale, 1972, Double Volume Nos. 290-291, pp. 73-139.

Waage, Harold. "The Intelligent Keyboard," 1/1, Vol. 1, No. 4, 1985, p. 1 sqq.

Waage, Harold. "Anomalies in Chords Derived from Chains of Thirds," 1/1, Vol. 4,

no. 3, pp. 1 sqq.

Wager-Schneider, John. "The Microtonal Guitar," Guitar & Lute, Vol. 16, January

1981, pp. 42-45; Volume 17, April 1981, pp. 32-34; Vol. 19, October 1981, pp.

28-31, Vol. 20, January 1982, pp. 20-22, Vol. 21, March 1982, pp. 33-34.

Waller, St. Die Grundtheorie des Vierteltonsystems. Budapest: Edition Fichtner,

1936.

Wallot, J. "Bermerkungen zu der Arbeit von J. Wurschmidt ueber Logarithmische

und graphische Darstellung der musikalischen Intervalle," Zeitschrift fuer

Physik, Vol. 4, 1921, p. 157.

Ward, W. D. "Subjective Musical Pitch," Journal of the Acoustical Society of

America, Vol. 25, 1954, pp. 369-380.

Weidenaar, Reynold. The Telharmonium: A History of the First Music Synthesizer,

1893-1918. Ph.D. thesis, New York University, 1988.

Wesley, William and Jonathan Glasier.  Interview on KPFK program Genesis of A

Music, April, 1992.

Whitman, George. Introduction to Microtonal Music.  British and Continental

Music Agencies, 1970.

Wilkinson, Scott R. Tuning In: Microtones in Electronic Music; A Basic Guide to

Alternate Scales, Temperaments and Microtuning Using Synthesizers.  Milwaukee:

Hal Leonard Books, 1988.

Wille, Rudolf. "Mathematische Sprache in der Musiktheorie," The Feedback Papers,

No. 24, March 1981, pp. 6-10.

Williams III, Wheat. "Exploring East Indian Microtonality," Electronic Musician,

March 1989, pp. 53-54.

Wilson, Ervin M. "The Bosanquetian 7-rank Keyboard After Poole and Brown,"

Xenharmonikon 1, 1972.

Wilson, Ervin M. "The Generalized Marimba Keyboard," Interval, Winter 1986-1987.

pp. 8-9

Wilson, Ervin M.  "The Marwa Permutations," Xenharmonikon 9, 1986.

Wilson, Ervin M. "D'Alessandro: Like A Hurricane," Xenharmonikon 12, 1990.

Wilson, Ervin M. "On the Development of Intonational Systems by Extended Linear

Mapping," Xenharmonikon 3, 1975.

Wilson, Ervin M. "The Purvi Modulations," Xenharmonikon 10, 1982.

Wilson, Ervin M. "Pythagorean Intervals," Interval, Vol. 1, No. 3, 1979, pp. 26

sqq.

Wilson, Ervin M. "Partch's Scale on the Bosanquet Generalized Keyboard," 1/1,

Vol. 1 No. 4, 1985, p. 10.

Wilson, Ervin M. "Hebdomekontany Notes."  [Personal communication]

Wold, Erling. "Music of Love and Beyond," 1/1, Vol. 4, No. 4, pp. 10-13.

Wolf, Dan. "Dan Wolf: Microtonal Composer," Interval, Vol. 4, No. 1, Fall 1983,

pp. 15-16.

Wolf, Daniel. "Four Tunings for Sound Environments," 1/1, Vol. 6, No. 3, pp. 12

sqq.

Wolf, Daniel J. "Living and Listening in Real Time: Notes Around the Music of

LaMonte Young," Interval, Vol. 4, No. 1, Fall 1983, pp. 27-28.

Woodbury, Arthur. "Harry Partch," Source: Music of the Avant Garde, ed. Larry

Austin, Vol. 2, July, 1967, pp. 91-93.

Wurschmidt, Jose.  "Buchstabentonschrift und Von Oettingensches Tongewebe,"

Zeitschrift fuer Physik, Vol. 5, 1922, p. 111.

Wurschmidt, Jose. "Logarithmische und graphische Darstellung der musikalischen

Intervalle," Zeitschrift fuer Physik, Vol. 3, 1920, p. 89.

Wurschmidt, Jose. "Die 19-stufige Skala," Neue Musik-Zeitung," Vol. 42, 1921, p.

215.

Wurschmidt, Jose. "Die rationellen Tonsysteme in Quinten-Terzengewebe,"

Zeitschrift fuer Physik, Vol. 41, January 1928, p. 527.

Wurschmidt, Jose. "Viertel und Sechsteltonmusik, eine kritische Studie," Neue

Musik-Zeitung Vol. 42, 1921, p. 183.

Yasser, Joseph.  A Theory of Evolving Tonality.  1975.  Reprint--New York: Da

Capo Press.

Yasser, Joseph. ""A Letter from Arnold Schoenberg," Journal of the American

Musicological Society, 1953, p. 60.

Yasser, Joseph. "The Highways and Byways of Tonal Evolution," Journal of the

American Musicological Society, Vol. 11, September, 1948, pp. 100-121.

Yasser, Joseph. "A Revised Conception of Tonality," Music Teachers National

Association Journal, 1935, p. 100.

Yasser, Joseph. "Tonality and Atonality as Synthesized by Supra-Tonality,"

Modern Music, November, 1930, p. 347.

Yates, Peter.  Liner notes for Nonesuch LP H-71224, "John Cage & Lejaren Hiller:

HPSCHD/Ben Johnston: String Quartet No. 2," 1969. 

Yates, Peter. "Genesis of A Music," High Fidelity, July, 1963, pp. 35-38.

Young, Gayle. "The Pitch Organization of Harmonium for James Tenney,"

Perspectives of New Music, Vol. 26, No. 2, 1988, pp. 204-212.

Young, Gayle. "Pitch Probe: Musical Instruments for Unusual Tuning Systems,"

Contemporary Music Review, Vol. 7, Part 1, pp. 51-64, 1992.

Young, LaMonte. "The Melodic Version of the Second Dream of the High-Tension

Line Stepdown Transformer from 'The Four Dreams of China,' (1962), Notes by the

Composer," (pages not numbered), Xenharmonikon 9, 1985.

Young, LaMonte. "Notes on The Well-Tuned Piano," 1/1, Vol. 3, No. 3, 1987, pp. 1

sqq.

Young, LaMonte. "The Romantic Symmetry (over a 60 cycle base) in Prime Time from

112 to 144 with 119," 1/1, Vol. 5, No. 4, 1989, pp. 6-8, 15.

Yunik, M. and G.W. Swift, "Tempered Music Scales for Sound Synthesis," Computer

Music Journal, Vol. 4, No. 4, Winter 1980, pp. 60-65.

Yunik, M. and G. W. Swift. "On Choosing an Equal-Tempered Scale," Interval, Vol.

2, No. 1, Fall 1979, pp. 16 sqq.

Yunik, M. and G. W. Swift. "Modifying a Trumpet to Play 19-Tone Music,"

Interval, Vol. 2 No. 1, Fall 1979, pp. 18-19.

 

If you know of any texts that should be on this list and aren't, please write:

B. McLaren

2462 S.E. Micah Place

Corvallis OR 97333-1966-17