References
- Barbour , J. M. 1948 . “Music and Ternary Continued Fractions . “American Mathematical Monthly , 55 : 545 – 555 .
- Barbour , J.M. 1951 . Tuning and Temperament , E. Lansing : Michigan State University Press . Chapter VI
- Bolzano , G.J. 1980 . “The Group‐theoretic Description of 12‐Fold and Microtonal Pitch Systems.” . Computer Music Journal , 4 : 66 – 84 .
- Bosanquet , R. H. M. 1876 . An Elementary Treatise on Musical Intervals and Temperaments , London : Macmillan .
- Brun , V. 1961 . “Music and Euclidean Algorithms.” . Nordisk Matematisk Tidskrift , 9 : 29 – 36 .
- De Klerk , D. 1979 . “Equal Temperament.” . Acta Musicologica , 51 : 140 – 150 .
- Fokker , A.D. 1949 . Just Intonation and the Combination of Harmonic Diatonic Melodic Groups , The Hague : Martinus Nijhoff .
- Fokker , A. D. 1955 . “Equal Temperament and the 31‐Keyed Organ.” . Scientific Monthly , 81 : 161 – 166 .
- Gamer , C. 1967 . “Some Combinatorial Resources of Equal‐Tempered Systems.” . Journal of Music Theory , 11 : 33 – 59 .
- Haba , A. 1927 . Neue Harmonielehre , Leipzig : Kistner and Siegel .
- Hall , D. E. 1973 . “The Objective Measurement of Goodness‐of‐Fit for Tunings and Temperaments.” . Journal of Music Theory , 17 : 274 – 290 .
- Hall , D.E. 1974 . “Quantitative Evaluation of Musical Scale Tunings.” . American Journal of Physics , 42 : 543 – 552 .
- Hall , D. E. 1980 . Musical Acoustics: An Introduction , Belmont, California : Wad‐sworth . Chapter 18.
- Hall , D. E. 1985 . “Acoustical Numerology and Lucky Equal Temperaments.” . American Journal of Physics , Submitted to
- Kornerup , T. 1935 . Das Goldene Tonsystem , Copenhagen : Aschehoug Forlag .
- Mandelbaum , J. 1961 . Multiple Division of the Octave and the Tonal Resources of 19‐tone Temperament. , Indiana University . Unpublished dissertation at
- Novarro , A. 1951 . Sistema Natural de la Musica. Mexico City
- Partch , H. 1974 . Genesis of a Music, , Second Edition , New York : Da Capo Press .
- Regener , E. 1973 . Pitch Notation and Equal Temperament , Berkeley : University of California Press .
- Regener , E. 1973 . Pitch Notation and Equal Temperament , Berkeley : University of California Press .
- Schillinger , J. 1976 . The Mathematical Basis of the Arts (Reprint) , New York : Da Capo Press . Appendix: “New Art Forms”
- Stoney , W. 1970 . “Theoretical Possibilities for Equally Tempered Musical Systems.” . In The Computer and Music , Edited by: Lincoln , H. B. 162 – 171 . Ithaca : Cornell University Press .
- Woolhouse , W. S. B. 1835 . Essay on Musical Intervals, Harmonics, and the Temperament of the Musical Scale , London : J. Souter .
- Yasser , J. 1932 . A Theory of Evolving Tonality , New York : American Library of Musicology .
- Yunik , M. and Swift , G. W. 1980 . “Tempered Music Scales for Sound Synthesis.” . Computer Music Journal , 4 : 60 – 65 .