Maximally even sets J Clough, J Douthett Journal of music theory 35 (1/2), 93-173, 1991 | 350 | 1991 |
Parsimonious graphs: A study in parsimony, contextual transformations, and modes of limited transposition J Douthett, P Steinbach Journal of Music Theory, 241-263, 1998 | 335 | 1998 |
Filtered point-symmetry and dynamical voice-leading J Douthett Music Theory and Mathematics: Chords, Collections, and Transformations 50, 2008 | 61 | 2008 |
Vector products and intervallic weighting S Block, J Douthett Journal of Music Theory 38 (1), 21-41, 1994 | 50 | 1994 |
Early Indian heptatonic scales and recent diatonic theory J Clough, J Douthett, N Ramanathan, L Rowell Music Theory Spectrum 15 (1), 36-58, 1993 | 35 | 1993 |
Hyperscales and the generalized tetrachord J Clough, J Cuciurean, J Douthett Journal of Music Theory 41 (1), 67-100, 1997 | 25 | 1997 |
Maximally even sets and configurations: common threads in mathematics, physics, and music J Douthett, R Krantz Journal of Combinatorial Optimization 14, 385-410, 2007 | 23 | 2007 |
Music theory and mathematics: Chords, collections, and transformations T Johnson, S Soderberg, R Cohn, N Engebretsen, J Hook, J Kochavi, ... University of Rochester Press, 2008 | 22 | 2008 |
Uniform Triadic Transformations and the Twelve Tone Music of Webern J Hook, J Douthett Perspectives of New Music 46 (1), 91-148, 2008 | 21 | 2008 |
Continued fractions, best measurements, and musical scales and intervals J Douthett, R Krantz Journal of Mathematics and Music 1 (1), 47-70, 2007 | 21 | 2007 |
Energy extremes and spin configurations for the one‐dimensional antiferromagnetic Ising model with arbitrary‐range interaction J Douthett, R Krantz Journal of Mathematical Physics 37, 3334-3353, 1996 | 21 | 1996 |
A measure of the reasonableness of equal‐tempered musical scales RJ Krantz, J Douthett The Journal of the Acoustical Society of America 95 (6), 3642-3650, 1994 | 16 | 1994 |
Algorithmic and computational approaches to pure-tone approximations of equal-tempered musical scales R Krantz, J Douthett Journal of Mathematics and Music 5 (3), 171-194, 2011 | 15 | 2011 |
Maximally even sets and the devil’s-staircase phase diagram for the one-dimensional Ising antiferromagnet with arbitrary-range interaction RJ Krantz, J Douthett, SD Doty Journal of Mathematical Physics 39, 4675-4682, 1998 | 15 | 1998 |
Scalar context in musical models R Plotkin, J Douthett Journal of Mathematics and Music 7 (2), 103-125, 2013 | 14 | 2013 |
Construction and interpretation of equal-tempered scales using frequency ratios, maximally even sets, and P-cycles RJ Krantz, J Douthett The Journal of the Acoustical Society of America 107 (5), 2725-2734, 2000 | 14 | 2000 |
Cycles of length 0 modulo 3 in graphs CA Barefoot, LH Clark, J Douthett, RC Entringer, MR Fellows preprint, 1991 | 13 | 1991 |
Musical scale construction: the continued fraction compromise J Douthett, R Entringer, A Mullhaupt Utilitas Mathematica 42, 97-113, 1992 | 10 | 1992 |
Parsimonious Graphs: A Study in Parsimony J Douthett, P Steinbach Contextual Transformations, and, 0 | 9 | |
Two musical paths to the Farey series and devil's staircase JHE Cartwright, J Douthett, DL González, R Krantz, O Piro Journal of Mathematics and Music 4 (1), 57-74, 2010 | 8 | 2010 |