961edo: Difference between revisions
Rework theory; comma bases; formatting; clarify the title row of the rank-2 temp table |
→Theory: expand |
||
| Line 3: | Line 3: | ||
== Theory == | == Theory == | ||
The equal temperament [[Tempering out|tempers out]] [[ | 961edo has a reasonable 7-limit interpretation. The equal temperament [[Tempering out|tempers out]] the [[schisma]] in the 5-limit; [[4375/4374]], [[65625/65536]], and [[14348907/14336000]] in the 7-limit, supporting [[pontiac]], the 395 & 566 temperament. | ||
In the 11-limit, the 961e [[val]] {{val| 961 1523 2231 '''2698''' '''3324''' }} scores the best, which tempers out 102487/102400 and 234375/234256. It prompts us to consider the 961de val {{val| 961 1523 2231 '''2697''' '''3324''' }}, which tempers out [[3025/3024]] and 184877/184320. The [[patent val]] {{val| 961 1523 2231 '''2698''' '''3325''' }} tempers out [[4000/3993]] and 46656/46585. | |||
It works much better as a 2.3.5.7.13.17 [[subgroup temperament]], in which case it tempers out [[10985/10976]], [[1275/1274]], [[2025/2023]] and [[4914/4913]]. | |||
=== Odd harmonics === | === Odd harmonics === | ||