306edo: Difference between revisions
Tristanbay (talk | contribs) Added mention of 306edo's association with Valotti temperament Tags: Mobile edit Mobile web edit |
m + category |
||
| (One intermediate revision by one other user not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
306edo provides a very accurate fifth, only 0.0058 cents stretched. In the 5-limit, the [[patent val]] [[tempering out|tempers out]] 78732/78125 ([[sensipent comma]]), whereas the alternative 306c val tempers out 32805/32768 ([[schisma]]). In the 7-limit the patent val tempers out [[6144/6125]], whereas 306c tempers out [[16875/16807]]. 306 is the denominator of 179\306, the continued fraction convergent after [[53edo|31\53]] and before [[665edo|389\665]] in the sequence of continued fraction approximations to to log<sub>2</sub>(3/2). On the 2*306 subgroup 2.3.25.7.55 it takes the same values as [[612edo]]. | 306edo provides a very accurate fifth, only 0.0058 cents stretched. In the 5-limit, the [[patent val]] [[tempering out|tempers out]] 78732/78125 ([[sensipent comma]]), whereas the alternative 306c val tempers out 32805/32768 ([[schisma]]). In the 7-limit the patent val tempers out [[6144/6125]], whereas 306c tempers out [[16875/16807]]. 306 is the denominator of 179\306, the continued fraction convergent after [[53edo|31\53]] and before [[665edo|389\665]] in the sequence of continued fraction approximations to to log<sub>2</sub>(3/2). On the 2*306 subgroup 2.3.25.7.55 it takes the same values as [[612edo]]. | ||
| Line 11: | Line 11: | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
Since 306 factors into {{factorization|306}}, 306edo has subset edos {{EDOs| 2, 3, 6, 9, 17, 18, 34, 51, 102, and 153 }}. | Since 306 factors into {{factorization|306}}, 306edo has subset edos {{EDOs| 2, 3, 6, 9, 17, 18, 34, 51, 102, and 153 }}. | ||
[[Category:3-limit record edos|###]] <!-- 3-digit number --> | |||