11-limit: Difference between revisions
Fill in some info that's present in the other limits but not here somehow |
→Edo approximation: calibrate the list according to my research results |
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== Edo approximation == | == Edo approximation == | ||
Here is a list of [[edo]]s which represent 11-limit intervals with better accuracy (decreasing [[TE error]]): {{EDOs| 22, 27e, 31, 41, 53, 58, 72, 118, 130, 152, 224, 270, 342, 612 }} and so on. | Here is a list of [[edo]]s which represent 11-limit intervals with better accuracy ([[monotonicity limit]] ≥ 11 and decreasing [[TE error]]): {{EDOs| 12, 15, 19, 22, 27e, 31, 41, 53, 58, 72, 118, 130, 152, 224, 270, 342, 612 }} and so on. For a more comprehensive list, see [[Sequence of equal temperaments by error]]. | ||
Here is a list of edos which tunes the 11-limit well relative to their size ([[TE relative error]] < 5%): {{EDOs| 31, 41, 58, 72, 87, 118, 130, 152, 183, 190, 198, 212, 224, 239, 255, 270, 301, 311, 342, 369, 373, 400, 414, 422, 441, 453, 460, 463, 472, 494, 525, 552, 566, 581, 612 }} and so on. | Here is a list of edos which tunes the 11-limit well relative to their size ([[TE relative error]] < 5%): {{EDOs| 31, 41, 58, 72, 87, 118, 130, 152, 183, 190, 198, 212, 224, 239, 255, 270, 301, 311, 342, 369, 373, 400, 414, 422, 441, 453, 460, 463, 472, 494, 525, 552, 566, 581, 612 }} and so on. | ||
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; [[Dave Hill]] | ; [[Dave Hill]] | ||
* [ | * [https://ralphdavidhill.bandcamp.com/track/study-3 ''Study #3''] | ||
* [ | * [https://ralphdavidhill.bandcamp.com/track/brief-11-limit-ratio-composition ''Brief 11-ratio composition''] | ||
; [[Ben Johnston]] | ; [[Ben Johnston]] | ||