References
- Schönberg , A. 1969 . Structural Functions of Harmony , Rev. , 193 London : Ernest Benn Limited .
- Bohlen , H. 1978 . 13 Tonstufen in der Duodezime . Acustica , 39 : 76 – 86 . Available at http://www.huygens-fokker.org/bpsite/publication0178.html.
- Mathews , M. V. , Roberts , L. A. and Pierce , J. R. 1984 . Four new scales based on nonsuccessive-integer-ratio chords . J. Acoust. Soc. Am. , 75 : S10(A)
- BP-Symposium . 2010 . The Bohlen–Pierce Symposium , Boston : Berklee College of Music . March 7–9
- Grolimund , A. R. A New Instrument – A New Scale, talk given at [4] , Available at http://theflutist.org/Bohlen-Pierce-Panflute.html.
- St. Fox, The Design and Construction of Bohlen–Pierce Clarinets and Other Wind Instruments, talk given at [4]. Available at http://bohlen-pierce-conference.org/schedule/fox-the-design-and-construction-of-bohlen-pierce-clarinets-and-other-wind-instruments.
- Stahnke , M. 1987 . Partch Harp , Hamburg : Stahnke-Verlag . First performance by Gesine Dreyer and Manfred Stahnke, Hamburg 1990. Available at http://www.manfred-stahnke.de/pharp.mov.
- Zemp , H. 1979 . Aspects of ’Are'are musical theory . Ethnomusicology , 23 : 6 – 48 . Available at http://www.archive.org/stream/ethnomusicology017335mbp/#page/n13/mode/2up.
- Kubik , G. 1999 . Africa and the Blues , Jackson MS : University Press of Mississippi . Available at http://books.google.com/books?id=K7AFBrvT9ukC&printsec=frontcover.
- Sethares , W. A. 2005 . Tuning, Timbre, Spectrum, Scale , 2 , London : Springer .
- Brun , V. 1950 . Music and ternary continued fractions . Kgl. Norske Videnskabers Selskab Forh. , 23 ( 10 ) : 38 – 40 .
- Ferguson , H. R.P. and Forcade , R. W. 1979 . Generalization of the Euclidean algorithm for real numbers to all dimensions higher than two . Bull. Am. Math. Soc. , 1 : 912 – 914 . Available at projecteuclid.org/euclid.bams/1183544902.
- Ferguson , H. R.P. , Bailey , D. H. and Arno , S. 1999 . Analysis of PSLQ, an integer finding algorithm . Math. Comput. , 68 : 351 – 369 . Available at http://crd.lbl.gov/~dhbailey/dhbpapers/cpslq.pdf.
- Bailey , D. H. and Broadhurst , D. J. 2000 . Parallel integer relation detection: Techniques and applications . Math. Comput. , 70 : 1719 – 1736 . Availble at http://crd.lbl.gov/~dhbailey/dhbpapers/ppslq.pdf.
- Meichsner , A. 2009 . The integer Chebychev problem: Computational explorations, Ph.D. thesis , Simon Fraser University . Available at http://ir.lib.sfu.ca/dspace/bitstream/1892/10746/1/etd4408.pdf.
- Noll , T. 2007 . Musical intervals and special linear transformations . J. Math Music , 1 : 121 – 137 .
- Jedrzejewski , F. 2008 . Generalized diatonic scales . J. Math. Music , 2 : 21 – 36 .
- Žabka , M. 2010 . Well-formedness in two dimensions: A generalization of Carey and Clampitt's theorem . J. Math. Music , 4 : 1 – 30 .
- Chowning , J. 2007 . Stria: Lines to its reconstruction . Comput. Music J. , 31 : 23 – 25 .
- Douthett , J. and Krantz , R. 2007 . Continued fractions, best measurements, and musical scales and intervals . J. Math. Music , 1 : 47 – 70 .
- Meneghini , M. 2007 . An analysis of the compositional techniques in John Chowning's Stria . Comput. Music J. , 31 : 26 – 37 . Available at http://www.mitpressjournals.org/doi/pdf/10.1162/comj.2007.31.3.26.