The Geometry of Musical Rhythm

Toussaint, Godfried T.

doi:10.1007/11589440_20

Cited by 65 publications

(38 citation statements)

References 47 publications

(48 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Examples are the measures of TJ[VJOKE EQORNGZKV [ [32] [35], and measures of geometrical features extracted from geometrical representations of rhythmic patterns [35] [39]. Another measure for UKOKNCTKV[ between rhythmic sequences which was not considered here is also described in [17].…”

Section: Discussionmentioning

confidence: 99%

CinBalada: A multiagent rhythm factory

2008

View full text Add to dashboard Cite

CinBalada is a system for automatic creation of polyphonic rhythmic performances by mixing elements from different musical styles. This system is based on agents that act as musicians playing percussion instruments in a drum circle. Each agent has to choose from a database the rhythm pattern of its instrument that satisfies the "rhythmic role" assigned to him in order to produce a collectivelyconsistent rhythmic performance. A rhythmic role is a concept that we proposed here with the objective of representing culture-specific rules for creation of polyphonic performances.

show abstract

Section: Discussionmentioning

confidence: 99%

CinBalada: A multiagent rhythm factory

2008

View full text Add to dashboard Cite

show abstract

“…Only (e), element permutation, "involves structural derangement that is more drastic that the others" (p. 52). More recently, Godfried Toussaint (2013) has demonstrated how certain African, Afro-Caribbean and other timelines found in North American popular music can be constructed algorithmically from seed 2 + 2 + 2 + 2 + 1 + 2 = 11 2 + 2 + 2 + 2 + 2 + 1 + 2 = 13 rhythms using mathematical principles. One such rhythm is the three-against-two (3:2) or 222 [x.x.x.…”

Section: A Generative Approachmentioning

confidence: 99%

“…Another concept used to explain the properties of pitch and rhythm that has received much attention in music theory is 'maximal evenness' (Clough & Douthett, 1991;London, 2004;Rahn, 1996;Taylor, 2012;Toussaint, 2013). In simple terms, a rhythm is maximally even if the strokes are distributed as evenly as possible within the cycle.…”

Section: Maximal Evennessmentioning

confidence: 99%

Comparing Timeline Rhythms in Pygmy and Bushmen Music

Poole

2018

EMR

View full text Add to dashboard Cite

Combining theories of African rhythm from ethno/musicology and findings from anthropological research and population genetics with musical analyses based on transcriptions and computational phylogenetic techniques, this article compares rhythms used in Pygmy and Bushmen music in an attempt to provide new perspectives on an old debate that these musical cultures may share a common heritage. To do this, the comparative analyses focus on timelines: foundational rhythmic features that provide the structural basis of the music. The findings suggest that Pygmy and Bushmen timelines are interrelated and that most are organised according to the principles of 'rhythmic oddity' and maximal evenness. Generative theory suggests that commonly used rhythmic cells, in particular the 3:2 pattern, form the structural basis of many Pygmy/Bushmen timelines as well as many other timelines featured in African and African-derived musics. Timelines are also multi-purpose musical devices used in various different social contexts and their structure appears to be resilient to radical change. Phylogenetic analysis of timelines provides no clear Pygmy/Bushmen ancestral timeline, although it is possible that foundational rhythms such as the 3:2 pattern may have featured in the music of a common ancestral group.

show abstract

“…La meta del programa era enganchar a los maestros en actividades de modelización matemática con el propósito de que ellos, a su turno, pudiesen transmitir este aprendizaje a través de su enseñanza en el aula (Chahine & Montiel, 2015). Cabe mencionar que la mayoría de las bases teóricas e ideas para las conexiones entre las matemáticas y el ritmo musical que se implementaron en el taller han sido expuestas por académicos interesados en este tema (Demaine et al, 2009;Toussaint, 2013).…”

Section: Antecedentesunclassified

Un experimento piloto sobre la enseñanza interdisciplinaria integrada a nivel universitario: matemáticas y música

Hernández¹

2017

FdE

View full text Add to dashboard Cite

En el presente trabajo se presenta un reporte y un análisis de una experiencia interdisciplinaria que se llevó a cabo a través de un programa especial de fomento a modelos de esta naturaleza. La propuesta de colaboración entre los cursos Análisis Postonal de la Escuela de Música de la Universidad Estatal de Georgia (GSU) en los Estados Unidos y Teoría Matemática de la Música del Departamento de Matemáticas y Estadística de la misma universidad, fue seleccionada en un concurso sobre el tema de enseñanza interdisciplinaria integrada por parejas. Este artículo consiste en una revisión de algunos antecedentes documentados de esta combinación particular a nivel universitario, una descripción de los contenidos de los dos cursos y de los participantes en este modelo piloto, así como en un análisis de datos recopilados al final del curso. Una entrevista colectiva fue videograbada y el análisis de la información en general fue llevado a cabo de acuerdo con un marco conceptual adaptado a esta combinación novedosa de disciplinas. Se buscó en todo momento que el análisis y las conclusiones se circunscribiesen a parámetros concretos para poder detectar, si fuera el caso, las características precisas de la colaboración que contribuyeran al realce de los procesos de aprendizaje y enseñanza en ambas disciplinas.

show abstract

The Geometry of Musical Rhythm

Cited by 65 publications

References 47 publications

CinBalada: A multiagent rhythm factory

CinBalada: A multiagent rhythm factory

Comparing Timeline Rhythms in Pygmy and Bushmen Music

Un experimento piloto sobre la enseñanza interdisciplinaria integrada a nivel universitario: matemáticas y música

Contact Info

Product

Resources

About