13-limit: Difference between revisions
m →Music: normalize the youtube link & sorting |
→Edo approximation: calibrate the list according to my research results |
||
| (One intermediate revision by the same user not shown) | |||
| Line 9: | Line 9: | ||
== Edo approximation == | == Edo approximation == | ||
[[Edo]]s which represent 13-limit intervals better ( | [[Edo]]s which represent 13-limit intervals better ([[monotonicity limit]] ≥ 13 and decreasing [[TE error]]): {{EDOs| 15, 17c, 19, 26, 27e, 29, 31, 41, 46, 53, 58, 72, 87, 103, 111, 121, 130, 183, 190, 198, 224, 270, 494 }} and so on. For a more comprehensive list, see [[Sequence of equal temperaments by error]]. | ||
Here is a list of edos which tunes the 13-limit well relative to their size ({{nowrap|[[TE relative error]] < 5.5%}}): {{EDOs| 31, 41, 46, 53, 58, 72, 87, 94, 103, 111, 121, 130, 140, 152f, 159, 183, 190, 198, 212, 217, 224, 270, 282, 296, 301, 311, 320, 328, 342f, 354, 364, 369f, 373, 383, 400, 414, 422, 431, 441, 460, 472, 494 }}, and so on. | Here is a list of edos which tunes the 13-limit well relative to their size ({{nowrap|[[TE relative error]] < 5.5%}}): {{EDOs| 31, 41, 46, 53, 58, 72, 87, 94, 103, 111, 121, 130, 140, 152f, 159, 183, 190, 198, 212, 217, 224, 270, 282, 296, 301, 311, 320, 328, 342f, 354, 364, 369f, 373, 383, 400, 414, 422, 431, 441, 460, 472, 494 }}, and so on. | ||
| Line 113: | Line 113: | ||
; [[E8 Heterotic]] | ; [[E8 Heterotic]] | ||
* [https:// | * [https://www.youtube.com/watch?v=cUR3MsI-mWM ''Justification''] (2022) | ||
; [[Francium]] | ; [[Francium]] | ||