3776edo: Difference between revisions
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{{EDO intro|3776}} | {{EDO intro|3776}} | ||
==Theory== | ==Theory== | ||
3776edo is a good 2.3.11.13.19 subgroup system. It does not tune the [[15-odd-limit]] consistently, though a reasonable represenation exists through the 19-limit patent val. There, it provides the [[optimal patent val]] for the [[oganesson]] temperament in the 7-, 11-, 13-, 17-, and the 19-limit. | 3776edo is a good 2.3.11.13.19 subgroup system. It does not tune the [[15-odd-limit]] consistently, though a reasonable represenation exists through the 19-limit patent val. There, it provides the [[optimal patent val]] for the [[oganesson]] temperament in the 7-, 11-, 13-, 17-, and the 19-limit. It tempers out the [[quartisma]] in the 11-limit, and is a tuning for the rank-3 [[van gogh]] temperament. | ||
In the 19-limit, and 2.3.5.17.19 subgroup, 3776edo tempers out the comma that associates [[171/170]] to 1 step of 118edo, hence enabling usage of this interval as microchroma. This is strengthened by 3776edo's strong and consistent approximations of [[19/17]] and [[10/9]], intervals that are one 171/170 apart. | |||
=== Odd harmonics === | === Odd harmonics === | ||
{{harmonics in equal|3776}} | {{harmonics in equal|3776}} | ||