Generalizations of Euler's Tonnetz on triangulated surfaces

IF 0.5 2区数学 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Mathematics and Music Pub Date : 2024-08-14 DOI:10.1080/17459737.2024.2362132

Konstanze Rietsch

引用次数: 0

Abstract

We give a definition of a what we call a “tonnetz” on a triangulated surface, generalizing the famous Tonnetz of Euler (Euler, Leonhard. 1739. Tentamen novae theoriae musicae ex certissismis harmon...

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三角形曲面上欧拉顿涅茨的一般化

我们给出了三角形曲面上所谓 "顿涅茨 "的定义，概括了著名的欧拉顿涅茨（Euler, Leonhard.1739.Tentamen novae theoriae musicae ex certissismis harmon...

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来源期刊

Journal of Mathematics and Music 数学-数学跨学科应用

CiteScore

1.90

自引率

18.20%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematics and Music aims to advance the use of mathematical modelling and computation in music theory. The Journal focuses on mathematical approaches to musical structures and processes, including mathematical investigations into music-theoretic or compositional issues as well as mathematically motivated analyses of musical works or performances. In consideration of the deep unsolved ontological and epistemological questions concerning knowledge about music, the Journal is open to a broad array of methodologies and topics, particularly those outside of established research fields such as acoustics, sound engineering, auditory perception, linguistics etc.