标题： 和谐的热力学：在音乐体系之间扩展类比 显示英文标题

标题： Thermodynamics of harmony: extending the analogy across musical systems

摘要： 大多数人通常认为科学和艺术是截然不同的领域，或者最多只是略有关系的领域。 在物理学中，热力学最大的成功之一是它通过自由能的最小化解释了物质的无序相如何产生有序；2019年，Berezovsky表明，描述物质中从无序中出现有序的机制可以用来解释有序的音高集合如何从无序的声音中产生，从而以有力的方式弥合了科学与艺术之间的鸿沟。 在本文中，我们详细分析了他的方法，通过明确考虑甘美兰乐器，将其推广到西方音乐的十二音律系统之外，并澄清了一些细节，以期加强该方法并使其更广为人知和认可。 显示英文摘要

摘要： 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 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.