2012
DOI: 10.7763/ijmlc.2012.v2.127
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Mathematical Notation, Representation, and Visualization of Musical Rhythm: A ComparativePerspective

Abstract: Abstract-Several methods for the mathematical notation, representation, and visualization of musical rhythm at the symbolic level are illustrated and compared in terms of their advantages and drawbacks, as well as their suitability for particular applications.

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Cited by 8 publications
(5 citation statements)
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“…Their approach is limited to algorithmic concepts without showing visualizations that provide understanding for the analyst. Liu and Toussaint follow an approach to visualize rhythm using clock diagrams with a polygon notation to emphasize different rhythmic patterns [LT12]. Inspired by their approach, we create a radial design based on the clock metaphor to visualize the rhythmic content of symbolic music based on measure units (see Section 5.1).…”
Section: Background and Related Workmentioning
confidence: 99%
“…Their approach is limited to algorithmic concepts without showing visualizations that provide understanding for the analyst. Liu and Toussaint follow an approach to visualize rhythm using clock diagrams with a polygon notation to emphasize different rhythmic patterns [LT12]. Inspired by their approach, we create a radial design based on the clock metaphor to visualize the rhythmic content of symbolic music based on measure units (see Section 5.1).…”
Section: Background and Related Workmentioning
confidence: 99%
“…Typically, readers of music perform close reading using the CMN that encodes all rhythmic details [32]. For instance, the binary string as a rudimentary visual representation can aid the analysis of rhythm by considering the presence or absence of sound [27]. This idea has been improved by the Time Unit Box System [45] and its generalization, Drum Tablature [39].…”
Section: Related Workmentioning
confidence: 99%
“…Another approach by Robledo exploits texture in the background of the CMN, which is highlighting rhythmic units [37] to improve their separation. These concepts use a linear sequence to communicate the rhythmic aspects visually but do not support the cyclic nature of rhythmic patterns [39] or their symmetry [27]. Circular representations are more suitable to address these two characteristics [27,39].…”
Section: Related Workmentioning
confidence: 99%
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“…4.2(a) é [0 1 1 1], o que indica que a célula rítmica é composta de 4 figuras, sendo a primeira destas um silêncio, e as três restantes figuras de igual duração. Algumas das desvantagens dessa notação são a dificuldade no processamento de ritmos por computador (Liu & Toussaint, 2012), e que por só considerar o início dos eventos e não a duração, produz confusão com outros conjuntos de figuras rítmicas, por exemplo, ?ˇ"ˇ" ( compartilha o mesmo vetor binário do anterior exemplo.…”
Section: Representação E Codificação De Células Rítmicasunclassified