17th-octave temperaments: Difference between revisions
No edit summary |
→Gothic: complete |
||
| Line 5: | Line 5: | ||
* Chlorine, - [[Ragismic microtemperaments#Chlorine]] | * Chlorine, - [[Ragismic microtemperaments#Chlorine]] | ||
==Gothic== | == Gothic == | ||
The gothic temperament is associated with the [[17-comma]]. | The gothic temperament is associated with the [[17-comma]]. | ||
Subgroup: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
Comma list: 134217728/129140163 | [[Comma list]]: 134217728/129140163 | ||
{{mapping|legend=1|17 27 | {{mapping|legend=1| 17 27 0 | 0 0 1 }} | ||
: mapping generators: ~256/243 = 1\17, ~5/4 = 386. | : mapping generators: ~256/243, ~5 | ||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~256/243 = 1\17, ~5/4 = 386.3137 (~20480/19683 = 33.3725) | |||
* [[CWE]]: ~256/243 = 1\17, ~5/4 = 388.2316 (~20480/19683 = 35.2904) | |||
{{Optimal ET sequence|legend=1| 17c, 34, 323bbcc, 357bbcc, 391bbcc }} | |||
[[Badness]]: 0.541 | |||
==Leaves== | ==Leaves== | ||
Defined as the 323 & 2023 temperament. 2 generators reach [[17/13]], 7 generators reach [[5/4]], 10 generators produce [[13/11]]. | Defined as the 323 & 2023 temperament. 2 generators reach [[17/13]], 7 generators reach [[5/4]], 10 generators produce [[13/11]]. | ||