A Structural Theory of Rhythm Notation Based on Tree Representations and Term Rewriting

Jacquemard, Florent; Donat-Bouillud, Pierre; Bresson, Jean

doi:10.1007/978-3-319-20603-5_1

Cited by 3 publications

(5 citation statements)

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“…Using hierarchical models is a trend sucessfully explored for rhythmic notation processing e.g. [17,1,10], meter detection [14], melodic search [3], and music analysis [7,19,15,13]. The approach is founded on the conviction that music structure complexity exceeds linear models.…”

Section: Discussionmentioning

confidence: 99%

“…In the present paper, we propose a framework for M2S where subproblems (i) and (ii) are tightly coupled: the structural information needed for score construction in (ii) is built during step (i), and takes into consideration an apriori music notation model. More precisely, (i) is solved by a parsing algorithm, and the parse tree defines a rhythmic structure of the output score, similar to Rhythm Tree representations [1,10]. This framework offers several distinctive advantages that contribute to improve the result quality.…”

Section: Introductionmentioning

confidence: 99%

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A Parse-Based Framework for Coupled Rhythm Quantization and Score Structuring

Foscarin

Jacquemard

Rigaux

et al. 2019

Mathematics and Computation in Music

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We present a formal language-based framework for MIDI-toscore transcription, the problem of converting a sequence of symbolic musical events with arbitrary timestamps into a structured music score. The framework aims at solving in one pass the two subproblems of rhythm quantization and score production. It relies, throughout the process, on an apriori hierarchical model of scores given by generative grammars. We show that this coupled approach helps to make relevant and interrelated decisions, and we present an algorithm computing transcription solutions optimal with respect to both the fitness of the quantization to the input, and a measure of complexity of music notation.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Parse-Based Framework for Coupled Rhythm Quantization and Score Structuring

Foscarin

Jacquemard

Rigaux

et al. 2019

Mathematics and Computation in Music

Self Cite

View full text Add to dashboard Cite

show abstract

“…For automated composition, Högberg et al, in the system Wind in the willows, proposed the use of tree transducers [12]. The same hierarchical structure type was used by Jacquemard et al [15] for elegantly representing and transforming rhythm notation (see Figure 5). With the objective of measuring the similarity of music, "metric tree" structures were introduced by Rizo [28] (see Figure 6) and extended with k-testables by Bernabeu et al [1].…”

Section: Hierarchical Analysis and Representationmentioning

confidence: 99%

“…14 http://relaxng.org/compact-tutorial.html 15 'One Document Does it all', a literate programming language for XML schemas. The leaf represents a time slice which in this case spans the measure.…”

Section: Gttm Basic Tree Encodingmentioning

confidence: 99%

An MEI-based standard encoding for hierarchical music analyses

Rizo

Marsden

2018

Int J Digit Libr

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We propose a standard representation for hierarchical musical analyses as an extension to the Music Encoding Initiative (MEI) representation for music. Analyses of music need to be represented in digital form for the same reasons as music: preservation, sharing of data, data linking, and digital processing. Systems exist for representing sequential information, but many music analyses are hierarchical, whether represented explicitly in trees or graphs or not. Features of MEI allow the representation of an analysis to be directly associated with the elements of the music analyzed. MEI's basis in TEI (Text Encoding Initiative), allows us to design a scheme which reuses some of the elements of TEI for the representation of trees and graphs. In order to capture both the information specific to a type of music analysis and the underlying form of an analysis as a tree or graph, we propose related "semantic" encodings, which capture the detailed information, and generic "non-semantic" encodings which expose the tree or graph structure. We illustrate this with examples of representations of a range of different kinds of analysis.

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“…For automatized composition, Högberg et al, in the system Wind in the willows, proposed the use of tree transducers [9]. The same hierarchical structure type was used by Jacquemard et al [13] for elegantly representing and transforming rhythm notation (see Figure 5). With the objective of measuring the similarity of music, metric tree structures were introduced by Rizo [24] (see Figure 6) and extended with k-testables by Bernabeu et al [1].…”

Section: Hierarchical Analysis and Representationmentioning

confidence: 99%

A standard format proposal for hierarchical analyses and representations

Rizo

Marsden

2016

Proceedings of the 3rd International Workshop on Digital Libraries for Musicology

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In the realm of digital musicology, standardizations efforts to date have mostly concentrated on the representation of music. Analyses of music are increasingly being generated or communicated by digital means. We demonstrate that the same arguments for the desirability of standardization in the representation of music apply also to the representation of analyses of music: proper preservation, sharing of data, and facilitation of digital processing. We concentrate here on analyses which can be described as hierarchical and show that this covers a broad range of existing analytical formats. We propose an extension of MEI (Music Encoding Initiative) to allow the encoding of analyses unambiguously associated with and aligned to a representation of the music analysed, making use of existing mechanisms within MEI's parent TEI (Text Encoding Initiative) for the representation of trees and graphs.

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A Structural Theory of Rhythm Notation Based on Tree Representations and Term Rewriting

Cited by 3 publications

References 5 publications

A Parse-Based Framework for Coupled Rhythm Quantization and Score Structuring

A Parse-Based Framework for Coupled Rhythm Quantization and Score Structuring

An MEI-based standard encoding for hierarchical music analyses

A standard format proposal for hierarchical analyses and representations

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