138edo: Difference between revisions

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138 = 3 × 46, ~~and~~ 138edo shares its [[3/2|fifth]] with [[46edo]]. Unlike 46edo, it is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings possible for the 13-limit: {{val| 138 219 320 387 477 511 }} ([[patent val]]), {{val| 138 219 '''321''' '''388''' '''478''' 511 }} (138cde), and {{val| 138 '''218''' 320 387 477 '''510''' }} (138bf). The last mapping uses an alternative flat fifth from [[69edo]].

Since {{nowrap|138 {{=}} 3 × 46}}, 138edo shares its [[3/2|fifth]] with [[46edo]]. Unlike 46edo, it is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings possible for the 13-limit: {{val| 138 219 320 387 477 511 }} ([[patent val]]), {{val| 138 219 '''321''' '''388''' '''478''' 511 }} (138cde), and {{val| 138 '''218''' 320 387 477 '''510''' }} (138bf). The last mapping uses an alternative flat fifth from [[69edo]].

Using the patent val, it [[tempering out|tempers out]] 1953125/1889568 ([[shibboleth comma]]) and 67108864/66430125 ([[misty comma]]) in the 5-limit; [[875/864]], [[1029/1024]], and 1647086/1594323 in the 7-limit; [[896/891]], 1331/1323, 1375/1372, and 2401/2376 in the 11-limit; [[196/195]], [[275/273]], and [[1575/1573]] in the 13-limit.

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 {{Infobox ET}}
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-= 3 × 46, and 138edo shares its [[3/2|fifth]] with [[46edo]]. Unlike 46edo, it is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings possible for the 13-limit: {{val| 138 219 320 387 477 511 }} ([[patent val]]), {{val| 138 219 '''321''' '''388''' '''478''' 511 }} (138cde), and {{val| 138 '''218''' 320 387 477 '''510''' }} (138bf). The last mapping uses an alternative flat fifth from [[69edo]].
+Since {{nowrap|138 {{=}} 3 × 46}}, 138edo shares its [[3/2|fifth]] with [[46edo]]. Unlike 46edo, it is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings possible for the 13-limit: {{val| 138 219 320 387 477 511 }} ([[patent val]]), {{val| 138 219 '''321''' '''388''' '''478''' 511 }} (138cde), and {{val| 138 '''218''' 320 387 477 '''510''' }} (138bf). The last mapping uses an alternative flat fifth from [[69edo]].
 Using the patent val, it [[tempering out|tempers out]] 1953125/1889568 ([[shibboleth comma]]) and 67108864/66430125 ([[misty comma]]) in the 5-limit; [[875/864]], [[1029/1024]], and 1647086/1594323 in the 7-limit; [[896/891]], 1331/1323, 1375/1372, and 2401/2376 in the 11-limit; [[196/195]], [[275/273]], and [[1575/1573]] in the 13-limit.