2619edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
2619edo is consistent | 2619edo tempers out the [[ennealimma]] in the 5-limit, as well as providing the [[optimal patent val]] for the rank-3 [[ennealimmic]] in the 11-limit. The equal temperament tempers out [[2401/2400]], [[4375/4374]], [[250047/250000]], [[420175/419904]], [[40353607/40310784]], [[78125000/78121827]] in the 7-limit, 214358881/214326000, 1879453125/1879048192 in the 11-limit, 4225/4224, 105644/105625, 123201/123200 in the 13-limit, [[12376/12375]], 224939/224910, 778855/778752 in the 17-limit, 5929/5928, 5985/5984, 10985/10952 in the 19-limit, 21736/21735, 36179/36176, 42757/42750, 45448/45441, 52003/52000 in the 23-limit. | ||
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{{ | While not a strong higher-limit system, it is distinctly consistent through the [[33-odd-limit]], being a flat system, and it is a strong 2.3.5.17.29.31 subgroup tuning. In the 2.3.5.13.17.23.29.31 it tunes the [[berkelium]] temperament, dividing the octave in 97 parts, and the berkelium-248 extension for the full 31-limit. | ||
=== Prime harmonics === | |||
{{Harmonics in equal|2619}} | |||
[[Category:Ennealimmic]] | |||