去读读：Harry Partch 的《Genesis of a Music》。或者：Meyer 的《The Musician’s Arithmetic》。它们是从最底层的声学/听觉/声音原理来解释音乐的，而不是西方传统乐理积累下来的那一堆历史包袱（cruft）。你首先得理解……
Read: Harry Partch - Genesis of a Music. Or: Meyer - The Musician’s Arithmetic. They explain music based on fundamental acoustic/aural/sonic principles, instead of all the accumulated cruft of western music theory. You first have to understand…
……（而不是将其视为“唯一的选择”）。2）Harry Partch 自己造了好多乐器来绕过十二平均律（12ET）的问题，并专门为这些乐器谱曲。他在《Genesis Of A Music》里阐述了他对纯律（JI）的构想：https://www.amazon.com/Genesis-Music-Account-Creative-Fulfil... 3）Paul Hindemith 对这件事也有一些见解，虽然我和 Partch 都不赞同他的观点。尽管如此，他还是……
…(as opposed to the "the only option"). 2) Harry Partch built many of his own instruments to circumvent issues from 12ET and composed music just for them. He describes his conceptualizations of JI in "Genesis Of A Music": https://www.amazon.com/Genesis-Music-Account-Creative-Fulfil... 3) Paul Hindemtith also has some opinions on the matter, though both Partch and I disagree with his points of view. Nonetheless he has…
Harry Partch 写过一本书叫《Genesis of a Music》，半部是自传，半部提出了一种理论，认为所有旋律都源自人类说话时的微弱音调起伏——也就是说，旋律其实就是我们说话方式的拉长版。我不知道这个想法有没有……
Harry Partch has a book Genesis of a Music, which is half autobiography and half a theory that all melody derives from the micro pitch variations of speech - as in melody is a stretched out version of how we speak. I don't know if this idea has…
……快速计算。这对 Partch 的情况至关重要，因为为了支撑自己的作曲技法，他手算了大量的频率表。Partch 在《Genesis of a Music》中意识到了人、数学与音乐之间的联系。他在书中收录了部分手算的泛音和（关键的）下泛音频率值表格，这些构成了他技法的基础。Partch 的技法在当时看来实在太异想天开了……
…rapid computation. This is critical for the Partch case, as he computed many tables of frequencies by hand to support his compositional technique. Partch recognized the human-math-music relation in "Genesis of a Music." He includes in this text some samples of his hand-computed tables of frequency values of overtones and (importantly) undertones which support the basis is technique. Partch's techniques were so far-fetched…
……快速计算。这对 Partch 的情况至关重要，因为为了支撑自己的作曲技法，他手算了大量的频率表。Partch 在《Genesis of a Music》中意识到了人、数学与音乐之间的联系。他在书中收录了部分手算的泛音和（关键的）下泛音频率值表格，这些构成了他技法的基础。Partch 的技法在当时看来实在太异想天开了……
…rapid computation. This is critical for the Partch case, as he computed many tables of frequencies by hand to support his compositional technique. Partch recognized the human-math-music relation in "Genesis of a Music." He includes in this text some samples of his hand-computed tables of frequency values of overtones and (importantly) undertones which support the basis is technique. Partch's techniques were so far-fetched…
去读读：Harry Partch 的《Genesis of a Music》。或者：Meyer 的《The Musician’s Arithmetic》。它们是从最底层的声学/听觉/声音原理来解释音乐的，而不是西方传统乐理积累下来的那一堆历史包袱（cruft）。你首先得理解……
Read: Harry Partch - Genesis of a Music. Or: Meyer - The Musician’s Arithmetic. They explain music based on fundamental acoustic/aural/sonic principles, instead of all the accumulated cruft of western music theory. You first have to understand…
……（而不是将其视为“唯一的选择”）。2）Harry Partch 自己造了好多乐器来绕过十二平均律（12ET）的问题，并专门为这些乐器谱曲。他在《Genesis Of A Music》里阐述了他对纯律（JI）的构想：https://www.amazon.com/Genesis-Music-Account-Creative-Fulfil... 3）Paul Hindemith 对这件事也有一些见解，虽然我和 Partch 都不赞同他的观点。尽管如此，他还是……
…(as opposed to the "the only option"). 2) Harry Partch built many of his own instruments to circumvent issues from 12ET and composed music just for them. He describes his conceptualizations of JI in "Genesis Of A Music": https://www.amazon.com/Genesis-Music-Account-Creative-Fulfil... 3) Paul Hindemtith also has some opinions on the matter, though both Partch and I disagree with his points of view. Nonetheless he has…
Harry Partch 写过一本书叫《Genesis of a Music》，半部是自传，半部提出了一种理论，认为所有旋律都源自人类说话时的微弱音调起伏——也就是说，旋律其实就是我们说话方式的拉长版。我不知道这个想法有没有……
Harry Partch has a book Genesis of a Music, which is half autobiography and half a theory that all melody derives from the micro pitch variations of speech - as in melody is a stretched out version of how we speak. I don't know if this idea has…
……快速计算。这对 Partch 的情况至关重要，因为为了支撑自己的作曲技法，他手算了大量的频率表。Partch 在《Genesis of a Music》中意识到了人、数学与音乐之间的联系。他在书中收录了部分手算的泛音和（关键的）下泛音频率值表格，这些构成了他技法的基础。Partch 的技法在当时看来实在太异想天开了……
…rapid computation. This is critical for the Partch case, as he computed many tables of frequencies by hand to support his compositional technique. Partch recognized the human-math-music relation in "Genesis of a Music." He includes in this text some samples of his hand-computed tables of frequency values of overtones and (importantly) undertones which support the basis is technique. Partch's techniques were so far-fetched…
……快速计算。这对 Partch 的情况至关重要，因为为了支撑自己的作曲技法，他手算了大量的频率表。Partch 在《Genesis of a Music》中意识到了人、数学与音乐之间的联系。他在书中收录了部分手算的泛音和（关键的）下泛音频率值表格，这些构成了他技法的基础。Partch 的技法在当时看来实在太异想天开了……
…rapid computation. This is critical for the Partch case, as he computed many tables of frequencies by hand to support his compositional technique. Partch recognized the human-math-music relation in "Genesis of a Music." He includes in this text some samples of his hand-computed tables of frequency values of overtones and (importantly) undertones which support the basis is technique. Partch's techniques were so far-fetched…