160edo: Difference between revisions

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160edo is closely related to [[80edo]], but the [[patent val]]s differ on the mapping for 7. It is [[contorted]] in the 5-limit, [[tempering out]] [[2048/2025]] (diaschisma) and 390625000/387420489 (quartonic comma).

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Using the 160bce val {{val| 160 '''253''' '''371''' 449 '''553''' 592 }}, it tempers out [[78732/78125]] and 145282683375/137438953472 in the 5-limit; [[1029/1024]], [[2430/2401]], and 390625/387072 in the 7-limit; [[385/384]], 441/440, 2187/2156, and 9375/9317 in the 11-limit; [[351/350]], [[847/845]], 1287/1280, 1573/1568, and 1875/1859 in the 13-limit.

Using the 160ce val {{val| 160 254 '''371''' 449 '''553''' 592 }}, it tempers out [[1638400/1594323]] and 2197265625/2147483648 in the 5-limit; [[875/864]], [[2401/2400]], and 2097152/2066715 in the 7-limit; [[896/891]], 3388/3375, 4125/4096, and 12005/11979 in the 11-limit; 275/273, 572/567, 847/845, 1573/1568, and 3185/3168 in the 13-limit.

Using the 160ce val {{val| 160 254 '''371''' 449 '''553''' 592 }}, it tempers out [[1638400/1594323]] and 2197265625/2147483648 in the 5-limit; [[875/864]], [[2401/2400]], and 2097152/2066715 in the 7-limit; [[896/891]], 3388/3375, [[4125/4096]], and 12005/11979 in the 11-limit; 275/273, 572/567, 847/845, 1573/1568, and 3185/3168 in the 13-limit.

As every other step of [[320edo]], a comprehensive full 19-limit system, 160edo might make more sense as a 2.9.7.13.17 subgroup temperament, where it tempers out [[729/728]], [[833/832]] and [[5832/5831]].

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 {{Infobox ET}}
-{{EDO intro|160}}
+{{ED intro}}
 edo is closely related to [[80edo]], but the [[patent val]]s differ on the mapping for 7. It is [[contorted]] in the 5-limit, [[tempering out]] [[2048/2025]] (diaschisma) and 390625000/387420489 (quartonic comma).
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 Using the 160bce val {{val| 160 '''253''' '''371''' 449 '''553''' 592 }}, it tempers out [[78732/78125]] and 145282683375/137438953472 in the 5-limit; [[1029/1024]], [[2430/2401]], and 390625/387072 in the 7-limit; [[385/384]], 441/440, 2187/2156, and 9375/9317 in the 11-limit; [[351/350]], [[847/845]], 1287/1280, 1573/1568, and 1875/1859 in the 13-limit.
-Using the 160ce val {{val| 160 254 '''371''' 449 '''553''' 592 }}, it tempers out [[1638400/1594323]] and 2197265625/2147483648 in the 5-limit; [[875/864]], [[2401/2400]], and 2097152/2066715 in the 7-limit; [[896/891]], 3388/3375, 4125/4096, and 12005/11979 in the 11-limit; 275/273, 572/567, 847/845, 1573/1568, and 3185/3168 in the 13-limit.
+Using the 160ce val {{val| 160 254 '''371''' 449 '''553''' 592 }}, it tempers out [[1638400/1594323]] and 2197265625/2147483648 in the 5-limit; [[875/864]], [[2401/2400]], and 2097152/2066715 in the 7-limit; [[896/891]], 3388/3375, [[4125/4096]], and 12005/11979 in the 11-limit; 275/273, 572/567, 847/845, 1573/1568, and 3185/3168 in the 13-limit.
 As every other step of [[320edo]], a comprehensive full 19-limit system, 160edo might make more sense as a 2.9.7.13.17 subgroup temperament, where it tempers out [[729/728]], [[833/832]] and [[5832/5831]].