by Godfried Toussaint
Massachussetts Institute of Technology
http://cgm.cs.mcgill.ca/~godfried/publications/mit.pdf
Add To MetaCart
Abstract:
For our purpose a rhythm is represented as a cyclic binary string. Consider the following three 12/8 time ternary rhythms expressed in box-like notation:
Citations
|
575
|
Algorithms on Strings, Trees, and Sequences
– Gusfield
- 1997
|
|
20
|
Classification and phylogenetic analysis of African ternary rhythm timelines
– Toussaint
- 2003
|
|
17
|
A comparison of rhythmic similarity measures
– Toussaint
- 2004
|
|
15
|
El compás flamenco: a phylogenetic analysis
– Díaz-Bañez, Farigu, et al.
- 2004
|
|
14
|
The structure of homometric sets
– Rosenblatt, Seymour
- 1982
|
|
14
|
A mathematical analysis of African, Brazilian, and Cuban clave rhythms
– Toussaint
- 2002
|
|
11
|
Maximally even sets
– Clough, Douthett
- 1991
|
|
11
|
A partial digest approach to restriction site mapping
– Skiena, Sundaram
- 1994
|
|
7
|
ethnomathematics. The logic underlying orally transmitted artistic practices
– Ethnomusicology
- 2002
|
|
6
|
Vector products and intervallic weighting
– Block, Douthett
- 1994
|
|
6
|
Reconstructing sets from interpoint distances
– Lemke, Skiena, et al.
- 2002
|
|
6
|
combinatorial problems in computational music theory
– Algorithmic
- 2003
|
|
5
|
A mathematical measure of preference in African rhythm
– Toussaint
- 2004
|
|
4
|
Distances with specified multiplicities
– Erdős
- 1989
|
|
4
|
Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals
– Johnson
- 2003
|
|
4
|
Drum Gahu: An Introduction to African Rhythm. White Cliffs
– Locke
- 1998
|
|
4
|
On the sum of distances determined by a pointset
– Tóth
- 1956
|
