127edo: Difference between revisions
Cleanup |
Add lumatone mapping link. |
||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
127edo is interesting because of its approximations, defined by the [[comma]]s it [[tempering out|tempers out]]: | 127edo is interesting because of its approximations, defined by the [[comma]]s it [[tempering out|tempers out]]: | ||
* In the [[5-limit]], it tempers out 393216/390625 ([[würschmidt comma]]) and hence [[support]]s the [[würschmidt]] temperament. | |||
* In the [[5-limit]], it tempers out | * In the [[7-limit]], it also tempers out [[225/224]], and is an excellent tuning for the 7-limit extension of würschmidt which tempers this out also. | ||
* In the [[7-limit]], it also tempers out 225/224, and is an excellent tuning for the 7-limit extension of würschmidt which tempers this out also. | * In the [[11-limit]], it tempers out [[99/98]], [[176/175]] and [[243/242]], and is an excellent tuning for the 11-limit version of würschmidt, as well as [[minerva]], the [[rank-3 temperament]] tempering out 99/98 and 176/175, for which it is the [[optimal patent val]] and the rank-4 temperament tempering out 99/98, for which it also provides the optimal patent val. | ||
* In the [[11-limit]], it tempers out 99/98, 176/175 and 243/242, and is an excellent tuning for the 11-limit version of würschmidt, as well as minerva, the rank | |||
=== Odd harmonics === | === Odd harmonics === | ||
| Line 13: | Line 12: | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
127edo is the 31st [[prime edo]]. | 127edo is the 31st [[prime edo]], following [[113edo]] and before [[131edo]]. | ||
== Scales == | == Scales == | ||
=== MOS scales === | === MOS scales === | ||
See [[List of MOS scales in 127edo]]. | See [[List of MOS scales in 127edo]]. | ||
== Instruments == | |||
* [[Lumatone mapping for 127edo]] | |||
[[Category:Würschmidt]] | [[Category:Würschmidt]] | ||
[[Category:Hemiwürschmidt]] | [[Category:Hemiwürschmidt]] | ||
[[Category:Minerva]] | [[Category:Minerva]] | ||