870edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
870edo is notably strong in the [[subgroup]] of {{w|Fermat prime|Fermat primes}}, 2.3.5.17. | 870edo is notably strong in the [[subgroup]] of {{w|Fermat prime|Fermat primes}}, 2.3.5.17. | ||
As an equal temperament, 870et [[tempering out|tempers out]] {{monzo| -53 10 16 }} ([[kwazy comma]]) in the 5-limit; [[250047/250000]] and [[2100875/2097152]] in the 7-limit, [[support]]ing [[pnict]]. In the 11-limit it tempers out [[12005/11979]] and provides the [[optimal patent val]] for the corresponding rank-4 temperament. | As an equal temperament, 870et [[tempering out|tempers out]] {{monzo| -53 10 16 }} ([[kwazy comma]]) in the 5-limit; [[250047/250000]] and [[2100875/2097152]] in the 7-limit, [[support]]ing [[pnict]]. In the 11-limit it tempers out [[12005/11979]] and provides the [[optimal patent val]] for the corresponding [[rank-4]] temperament. | ||
=== Odd harmonics === | === Odd harmonics === | ||
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Since 870 factors into {{factorization|870}}, 870edo has subset edos {{EDOs| 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, and 435 }}. | Since 870 factors into {{factorization|870}}, 870edo has subset edos {{EDOs| 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, and 435 }}. | ||
{{ | {{todo|expand}} | ||