2022edo: Difference between revisions
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== Theory == | == Theory == | ||
{{Harmonics in equal|2022}} | {{Harmonics in equal|2022}} | ||
2022edo offers good appoximations of the 2.5.11.17.29.41.43.53.61 subgroup. When using smaller numbers, 2.3.5.11 is a good choice, and if rougher errors are allowed, no-sevens | 2022edo offers good appoximations of the 2.5.11.17.29.41.43.53.61 subgroup. When using smaller numbers, 2.3.5.11 is a good choice, and if rougher errors are allowed, no-sevens 29-limit is a satisfactory choice. | ||
In the 5-limit, 2022edo supports the pirate temperament, 323 & 407, and tempers out the [-90, -15, 49⟩ comma. | In the 5-limit, 2022edo supports the pirate temperament, 323 & 407, and tempers out the [-90, -15, 49⟩ comma. | ||
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In the 2.5.11.17.29.41.43.53.61 subgroup, 2022edo tempers out 17630/17629, 18491/18490, 21200/21199, and 22528/22525. | In the 2.5.11.17.29.41.43.53.61 subgroup, 2022edo tempers out 17630/17629, 18491/18490, 21200/21199, and 22528/22525. | ||
If the 29-limit is taken as a whole even including the 7-limit inconsistency, 2022edo tempers out 2002/2001, 3451/3450, 5104/5103, and 16445/16443. | |||
== Regular temperament properties == | == Regular temperament properties == | ||