1612edo: Difference between revisions
I have no idea why I made this mistake or why x31eq put out 1612df as tuning for silicon when it's not even divisible by 14 |
Rework theory; adopt template: Factorization |
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{{EDO intro|1612}} | {{EDO intro|1612}} | ||
1612edo is a strong [[5-limit]] system, | 1612edo is a strong [[5-limit]] system, but it is only [[consistent]] to the [[5-odd-limit]] since [[harmonic]]s [[7/1|7]] and [[11/1|11]] are about halfway between its steps. Nonetheless, the [[patent val]] is a strong 2.3.5.13.17.23.29.31 [[subgroup]] tuning. | ||
It provides a tuning for [[quasithird]], [[aluminium]] and [[counterorson]] temperaments in the 5-limit. | |||
=== Prime harmonics === | === Prime harmonics === | ||
{{ | {{Harmonics in equal|1612}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
[[3224edo]], which doubles 1612edo, corrects mapping for 7 and 11. | Since 1612 factors into {{factorization|1612}}, 1612edo has subset edos {{EDOs| 2, 4, 13, 26, 31, 52, 62, 124, 403, and 806 }}. [[3224edo]], which doubles 1612edo, corrects the mapping for 7 and 11. | ||