标题： 伊辛模型和尺度的随机场 显示英文标题

标题： The Ising model and random fields of scales

摘要： 当将音乐音阶的类视为一组位置时，就会产生尺度的随机场，而每个位置可以处于两种可能的状态（或自旋）之一：开启或关闭。 我们提出了一种灵活的模拟退火模型，该模型能够生成由与音阶相关的哈密顿能量函数平衡状态（或吉布斯测度）产生的通用配置，这些能量函数的参数可以调整以定制音阶的属性。 起点是将音阶集合视为整数分拆的组合类，最终结果是一个针对12-TET调音系统的开放访问应用程序中的有效热力学搜索引擎：Scaletor。 显示英文摘要

摘要： Random fields of scales result when the class of musical scales is thought as a set of sites, and a site can be in one of two possible states (or spins): On or Off. We present a flexible simulated annealing model that produces generic configurations arising from equilibrium states (or Gibbs measures) associated to hamiltonian energy functions defined in terms of musical interactions with parameters that can be manipulated to customize properties of the scales. The starting point is to think of the set of scales as the combinatorial class of integer compositions and the final result is an effective thermodynamic search engine implemented in an open access application for the 12-TET tuning system: Scaletor.