439edo: Difference between revisions
→Regular temperament properties: 2.3.15 is equivalent to 2.3.5 and 2.3.15.35 is equivalent to 2.3.5.7. Rework to address alternative vals |
→Theory: rework to address alternative vals |
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{{EDO intro|439}} | {{EDO intro|439}} | ||
== Theory == | == Theory == | ||
439edo is in[[consistent]] in the 5-odd-limit. In the 7-limit, the [[patent val]] {{val| 439 696 1019 1232 }}, and the 439cd val {{val| 439 696 '''1020''' '''1233''' }} are about as viable. | |||
===Prime harmonics=== | |||
The patent val tempers out [[10976/10935]], [[15625/15552]] and [[703125/702464]] in the 7-limit; [[3025/3024]], 4375/4356, 14700/14641, 59290/59049, [[131072/130977]], and 184877/184320 in the 11-limit. | |||
The 439cd val tempers out [[3136/3125]], 2097152/2083725, and 4096000/4084101 in the 7-limit; 3136/3125, 15488/15435, [[16384/16335]], [[19712/19683]], 24057/24010, 43923/43750, 43923/43904, and 46656/46585 in the 11-limit. | |||
=== Prime harmonics === | |||
{{Harmonics in equal|439}} | {{Harmonics in equal|439}} | ||
===Subsets and supersets=== | |||
=== Subsets and supersets === | |||
439edo is the 85th [[prime edo]]. | 439edo is the 85th [[prime edo]]. | ||
== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||