Negri extensions: Difference between revisions
-gencoms (irrelevant to tuning and trivial to derive). Misc. cleanup |
Intro |
||
| Line 1: | Line 1: | ||
[[Negri]] temperament has various | [[Negri]] temperament has various competing [[extension]]s to the [[11-limit]]. This is evidenced by the fact that its [[support]]ing equal temperaments, [[10edo|10]] and [[19edo|19]], do less well in the 11-limit. The extensions are: | ||
* '''Undecimal negri''' (10 & 19) – tempering out 45/44, 49/48, and 56/55 | |||
* '''Negril''' (10e & 19) – tempering out 49/48, 100/99, 225/224 | |||
* '''Negric''' (10e & 19e) – tempering out 33/32, 49/48, 77/75 | |||
* '''Negroni''' (10 & 19e) – tempering out 49/48, 55/54, 225/224 | |||
Another possible path which relates a sense of compromise is to temper out [[121/120]], leading to [[wilsec]]. This has the effect of slicing the generator in two, and is supported by [[20edo|20]], [[29edo|29]], and [[38edo|38df]]. | |||
== Tuning spectra == | == Tuning spectra == | ||
| Line 264: | Line 270: | ||
| 4/3 | | 4/3 | ||
| 124.511 | | 124.511 | ||
| 7, 9, 11, 13 and 15 limit minimax | | 7-, 9-, 11-, 13- and 15-odd-limit minimax | ||
|- | |- | ||
| | | | ||
| Line 274: | Line 280: | ||
| {{vector|0 -136 21 -14 98 -21}} | | {{vector|0 -136 21 -14 98 -21}} | ||
| 124.764 | | 124.764 | ||
| 13 limit least squares | | 13-odd-limit least squares | ||
|- | |- | ||
| | | | ||
| Line 304: | Line 310: | ||
| 30517578125/26795786661 | | 30517578125/26795786661 | ||
| 125.469 | | 125.469 | ||
| 7 limit least squares | | 7-odd-limit least squares | ||
|- | |- | ||
| | | | ||