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和谐的热力学:将类比扩展至不同音乐体系

Thermodynamics of harmony: Extending the analogy across musical systems.

作者信息

Nasser L, Tillotson A, Hernandez X

机构信息

Department of Science and Mathematics, Columbia College Chicago, Chicago, Illinois, United States of America.

Department of Physics, NYU, Abu Dhabi, United Arab Emirates.

出版信息

PLoS One. 2025 May 9;20(5):e0322385. doi: 10.1371/journal.pone.0322385. eCollection 2025.

DOI:10.1371/journal.pone.0322385
PMID:40344031
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC12063884/
Abstract

It is common for most people to think of science and art as disparate, or at most only vaguely related fields. In physics, one of the biggest successes of thermodynamics is its explanation of order arising from disordered phases of matter through the minimization of free energy; In 2019, Berezovsky showed [1] that the mechanism describing emergent order from disorder in matter can be used to explain how ordered sets of pitches can arise out of disordered sound, thus bridging the gap between science and the arts in a powerful way. In this paper we analyze his method in detail, generalizing it beyond the 12 tone system of intonation of Western music by explicitly considering Gamelan instruments and clarifying some details in the hope of strengthening it and making it better known and recognized.

摘要

大多数人通常认为科学和艺术是截然不同的,或者至多只是关系模糊的领域。在物理学中,热力学最大的成功之一是它通过自由能最小化解释了物质无序相产生的有序性;2019年,别列佐夫斯基表明[1],描述物质中从无序到有序出现的机制可用于解释无序声音如何产生有序音高集合,从而有力地弥合了科学与艺术之间的差距。在本文中,我们详细分析了他的方法,通过明确考虑加麦兰乐器并澄清一些细节,将其推广到西方音乐十二音语调系统之外,以期强化该方法,使其更广为人知并得到认可。

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本文引用的文献

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Renormalization-group approach to ordered phases in music.
Phys Rev E. 2024 Jul;110(1-1):014145. doi: 10.1103/PhysRevE.110.014145.
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The structure of musical harmony as an ordered phase of sound: A statistical mechanics approach to music theory.作为声音有序阶段的音乐和声结构:音乐理论的统计力学方法。
Sci Adv. 2019 May 17;5(5):eaav8490. doi: 10.1126/sciadv.aav8490. eCollection 2019 May.
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