Cardinality transformations in diatonic space

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 6726 LNAI, Issue , 2011, Pages 207-219

  Plotkin, Richard ^a  

^a UNIVERSITY AT BUFFALO   (United States)

Author keywords

Filtered point symmetry; Maximally even sets; neo Riemannian transformations; Partially symmetric distribution; Relatively even sets; Scalar contexts; Tetrachord transformations

Indexed keywords

FILTERED POINT-SYMMETRY; MAXIMALLY EVEN SETS; NEO-RIEMANNIAN TRANSFORMATIONS; RELATIVELY EVEN SETS; SCALAR CONTEXTS; SYMMETRIC DISTRIBUTIONS; TETRACHORD TRANSFORMATIONS; POINT SYMMETRY;

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS;

COMPUTATION THEORY;

EID: 79959582674     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-21590-2_16     Document Type: Conference Paper

References (7)

1. Douthett, J.: Filtered Point-Symmetry and Dynamical Voice-Leading. In: Douthett, J., Hyde, M.M., Smith, C.J. (eds.) Music Theory and Mathematics: Chords, Collections, and Transformations. University of Rochester Press, NY (2008)
2. Clough, J., Douthett, J.: Maximally Even Sets. Journal of Music Theory 35(1/2), 93-173 (1991)
3. Clough, J., Cuciurean, J., Douthett, J.: Hyperscales and the Generalized Tetrachord. Journal of Music Theory 41(1), 67-100 (1997)
4. Childs, A.P.: Moving Beyond Neo-Riemannian Triads: Exploring a Transformational Model for Seventh Chords. Journal of Music Theory 42(2), 181-193 (1998)
5. Douthett, J., Steinbach, P.: Parsimonious Graphs: A Study in Parsimony, Contextual Transformations, and Modes of Limited Transposition. Journal of Music Theory 42(2), 241-263 (1998) (Note: See also Waller [7])
6. Plotkin, R.: Transforming Transformational Analysis: Applications of Filtered Point-Symmetry. PhD Thesis, University of Chicago (2010)
7. Waller, D.A.: Some Combinatorial Aspects of the Musical Chords. The Mathematical Gazette 62(419), 12-15 (1978)