A three-dimensional timbre model via Peano curves

被引：0
作者：
Ghisi, Daniele [1 ]
Cella, Carmine-Emanuele [1 ]
机构：
[1] Univ Calif Berkeley, Ctr New Mus & Audio Technol, Berkeley, CA 94720 USA
来源：
JOURNAL OF MATHEMATICS AND MUSIC | 2023年 / 17卷 / 02期
关键词：
Timbre; multidimensional scaling; music representation; space-filling curves; Peano curve;
D O I：
10.1080/17459737.2022.2058636
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Creating a formal model for timbre is one of the most compelling open questions in music research. In contrast to more traditional perceptually-oriented approaches, often aimed at sound analysis, we introduce a three-dimensional geometric model of timbre, specifically designed for sound synthesis. The proposed model relies on the properties of space-filling curves for multidimensional scaling, and represents via three parameters, any static combination of sinusoidal partials with an additional noisiness component. We detail the construction of the model and its properties and discuss future implications for music research.
引用
收藏
页码：332 / 347
页数：16
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