On some combinatorial problems concerning the harmonic structure of musical chord sequences

被引：0

作者：

Cantone, Domenico ^{[1
]}

Cristofaro, Salvatore ^{[1
]}

Faro, Simone ^{[1
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE | 2008年 / 19卷 / 01期

关键词：

music processing; harmonic structure analysis; chord sequences;

D O I：

10.1142/S0129054108005565

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present some combinatorial problems which arise in the fields of music representation and music processing, in particular in the context of analysis of the harmonic structure of chord sequences. We are mainly concerned with problems related to chord sequences which exhibit a certain kind of regular harmonic structure, and provide also algorithms to solve some of them. In particular, we present an O(n + m)-time algorithm, based on bit-parallelism, to check whether a given chord progression of length n is regular, where m is the size of the chords in the progression.

引用

页码：103 / 124

页数：22

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