User:BudjarnLambeth/Draft related tunings section: Difference between revisions
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(Used https://x31eq.com/temper-pyscript/net.html, used WE instead of TE cause it kept defaulting to WE and I kept not remembering to switch it) | (Used https://x31eq.com/temper-pyscript/net.html, used WE instead of TE cause it kept defaulting to WE and I kept not remembering to switch it) | ||
13edo | |||
* Main: "13edo and optimal octave stretching" | |||
* 2.5.11.13 WE (92.483c) | |||
* | * 2.5.7.13 WE (92.804c) | ||
* | * 2.3 WE (91.405c) (good for opposite 7 mapping) | ||
* 38zpi (92.531c) | |||
* | |||
103edo (narrow down edonoi, choose ZPIS) | 103edo (narrow down edonoi, choose ZPIS) | ||
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* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
104edo | |||
* 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) | ||
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* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
111edo (choose ZPIS) | |||
* 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) | |||
118edo (choose ZPIS) | |||
* 187edt | |||
* 69edf | |||
* 13-limit WE (10.171c) | |||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
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* 1-2 WE tunings | * 1-2 WE tunings | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
10edo | |||
* 2.5.7.13 WE (120.358) | |||
* 28ed7 | |||
* 37ed13 | |||
* 26zpi (119.899) | |||
* 2.3.7.13 WE (119.785) | |||
* 13lim WE (119.776) | |||
* 36ed12 | |||
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 | |||
* 28ed6 | |||
* 39ed12 | |||
* 2.7.11.13 WE (108.821) | |||
* 30zpi (108.722) | |||
* 35ed9 | |||
* 31ed7 | |||
* 41ed13 | |||
* 37ed10 | |||
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 can be used, at the cost of making the octaves sound significantly weaker. | |||
24edo | |||
((13lim WE's octave is only 1/10th of a cent different from 24edo)) | |||
* 56ed5 | |||
* 80ed10 | |||
* 89ed13 | |||
* 2.3.5.11.13 WE (49.942) | |||
* 90zpi (49.988) | |||
* 11lim WE (50.017) | |||
* 83ed11 | |||
* 86ed12 | |||
* 62ed6 | |||
* 38edt | |||
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. | |||
25edo | 25edo | ||
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* 28edf (octave identical to 159ed10 within 0.1{{c}}) | * 28edf (octave identical to 159ed10 within 0.1{{c}}) | ||
Most of 48edo's simple [[prime]]s have low error, but its 5 is substantially flat, so 48edo can benefit from slight [[octave stretching]]. | Most of 48edo's simple [[prime]]s have low error, but its 5 is substantially flat, so 48edo can benefit from slight [[octave stretching]]. | ||
5edo | 5edo | ||
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* 17ed7 | * 17ed7 | ||
If one wishes to use 6edo as a 2.9.5 or 2.9.5.7 [[subgroup]] tuning, then it benefits from [[octave shrinking]]. | If one wishes to use 6edo as a 2.9.5 or 2.9.5.7 [[subgroup]] tuning, then it benefits from [[octave shrinking]]. | ||
125edo | 125edo | ||