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===13th century=== | ===13th century=== | ||
===15th century=== | ===15th century=== | ||
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===19th century (popular)=== | ===19th century (popular)=== | ||
===Chinese Theory=== | |||
* experiments in pythagorean tuning followed by the discovery of 12- and 53-tone MOS scales | |||
* higher limit tonalities introduced by throat-singers; subsequent treatises describe otonality as yin (qürm) and utonality as yang (läŋ) | |||
* musical theater, orchestra, Partchian ideas | |||
===European Theory=== | |||
* Babylonians independently discover pythagorean tuning and Greeks extend it into genera | |||
* poly-pythagorean chains introduced by Jewish theorists to explain the enharmonic genus |
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