User:BudjarnLambeth/Draft related tunings section: Difference between revisions
| Line 174: | Line 174: | ||
''To-do'' | ''To-do'' | ||
* High priority: {{EDOs| 118, 103, 111, 13, 104 }}. | * High priority: {{EDOs| 118, 103, 111, 13, 104 }}. | ||
* Medium-high priority: {{EDOs| 15, 18, 26, 29, 35, 37 }}. | * Medium-high priority: {{EDOs| 9, 15, 18, 25, 26, 29, 30, 34, 35, 37, 48 }}. | ||
* Medium-low priority: {{EDOs| | * Medium-low priority: {{EDOs| 10, 11, 24, 5, 6 }}. | ||
* Low priority: {{EDOs| 125, 145, 152, 159, 166, 182, 198, 212, 243, 247 }}. | * Low priority: {{EDOs| 125, 145, 152, 159, 166, 182, 198, 212, 243, 247 }}. | ||
| Line 234: | Line 234: | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
; Medium-priority | ; Medium-high priority | ||
9edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
9edo's [[prime]]s 3, 7, 11 and 13 are all tuned flat, so it can benefit from [[octave stretching]]. | |||
15edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
15edo's [[prime]]s 3, 5, 11 and 13 are all tuned sharp, so it can benefit from [[octave shrinking]]. | |||
18edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
18edo's [[prime]]s 3, 5, 7 and 13 are all tuned sharp, so it can benefit from [[octave shrinking]]. | |||
25edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
25edo's [[prime]] 3 is very sharp, and its sharp and flat mapping of 11 and 13 are about equally bad, it can benefit from [[octave shrinking]]. | |||
26edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
26edo's simple [[prime]]s with the most error - 3, 5 and 13 - are all tuned flat, so it can benefit from [[octave stretching]]. | |||
29edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
29edo's [[prime]]s 5, 7, 11 and 13 are all tuned flat and the 3 has relatively little error, so 29edo can benefit from [[octave stretching]]. | |||
30edo | 30edo | ||
| Line 283: | Line 283: | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
30edo's simple [[prime]]s with the most error - 3, 5 and 11 - are all tuned sharp, so it can benefit from [[octave shrinking]]. | |||
34edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
34edo's [[prime]]s 3, 5, 11 and 13 are all tuned sharp, and it has two about equally bad mappings of 7, so 34edo can benefit from [[octave shrinking]]. | |||
35edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
35edo's [[prime]]s 3, 5, 7 and 11 are all tuned flat, and it has two about equally bad mappings of 13, so 35edo can benefit from [[octave stretching]]. | |||
37edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
37edo's [[prime]]s 3, 5, 7, 11 and 13 are all tuned sharp, so it can benefit from [[octave shrinking]]. | |||
48edo | 48edo | ||
| Line 307: | Line 311: | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
Most of 48edo's simple [[prime]]s have low error, but its 5 is substantially flat, so 48edo can benefit from slight [[octave stretching]]. | |||
; Medium-low priority | |||
10edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
If one wishes to use 10edo as a no-5s, 19-or-lower-limit tuning, then it benefits from [[octave shrinking]]. If one wishes to use 10edo as a no-3s, 13-or-lower-limit tuning, then it benefits from [[octave stretching]]. | |||
11edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
11edo has about equally bad sharp and flat mappings of [[prime]]s 3 and 5. The 7 and 13 are quite sharp, but the 11 is a little flat. To use it as a 2.7.11.13 tuning, slight [[octave shrinking]] is advisable. To use its primes 3 or 5, extreme octave shrinking or [[octave stretching]] can be used, at the cost of making the octaves sound significantly weaker. | |||
24edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
If one wishes to use 24edo as a full 19-or-lower-limit tuning, then it benefits from slight [[octave stretching]], mostly to improve its [[prime]] 7. If one wishes to use 24edo as a no-7s 19-or-lower-limit tuning, then it benefits from slight [[octave shrinking]], mostly to improve its primes 5 and 13. | |||
5edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
If one wishes to use 5edo as a 2.3.7 [[subgroup]] tuning, then it benefits from slight [[octave shrinking]] to improve its prime 3. | |||
6edo | |||
* Nearby edt, ed6, ed12 and/or edf | * Nearby edt, ed6, ed12 and/or edf | ||
* Nearby ed5, ed10, ed7 and/or ed11 (optional) | * Nearby ed5, ed10, ed7 and/or ed11 (optional) | ||
* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
If one wishes to use 6edo as a 2.9.7 or 2.9.7.11 [[sugroup]] tuning, then it benefits from [[octave shrinking]]. | |||
; Low-priority | ; Low-priority | ||