User:Overthink/Draft edits: Difference between revisions
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This is a page where I will draft edits before making them on the actual page. This may possibly include drafting a new page to be created. If you have something to add to any of them, or any concerns, please suggest them on the talk page. If a template is set to debug, make sure to remove that setting when editing the target page. | This is a page where I will draft edits before making them on the actual page. This may possibly include drafting a new page to be created. If you have something to add to any of them, or any concerns, please suggest them on the talk page. If a template is set to debug, make sure to remove that setting when editing the target page. | ||
= Pajara = | |||
There are two different mappings of the 11-limit. One is just called ''pajara'' and is slightly more complex but suffers almost no loss of accuracy compared to the 7-limit. It is best tuned flat of 22edo. The other, called ''pajarous'' to avoid confusion, maps the 11th harmonic slightly simpler, but 22edo is the only [[11-odd-limit]] [[diamond monotone]] tuning, where primes [[3/1|3]] and [[5/1|5]] are less accurate than in optimal tunings of canonical 11-limit pajara. | |||
In the following tables, odd harmonics 1–11 and their inverses are in '''bold'''. | |||
{| class="wikitable center-1 right-2 right-4" | |||
|+ style="font-size: 105%;" | Pajara ({{nowrap| 12 & 22 }}) | |||
|- | |||
! rowspan="2" | # | |||
! colspan="2" | Period 0 | |||
! colspan="2" | Period 1 | |||
|- | |||
! Cents* | |||
! Approximate ratios | |||
! Cents* | |||
! Approximate ratios | |||
|- | |||
| 0 | |||
| 0.0 | |||
| '''1/1''' | |||
| 600.0 | |||
| 7/5, 10/7 | |||
|- | |||
| 1 | |||
| 707.2 | |||
| '''3/2''' | |||
| 107.2 | |||
| 15/14, 16/15, 21/20 | |||
|- | |||
| 2 | |||
| 214.4 | |||
| '''8/7''', '''9/8''' | |||
| 814.4 | |||
| '''8/5''' | |||
|- | |||
| 3 | |||
| 921.5 | |||
| 12/7 | |||
| 321.5 | |||
| 6/5 | |||
|- | |||
| 4 | |||
| 428.7 | |||
| 9/7, 14/11 | |||
| 1028.7 | |||
| 9/5, 20/11 | |||
|- | |||
| 5 | |||
| 1135.9 | |||
| 21/11, 27/14, 48/25, <br>64/33, 96/49 | |||
| 535.9 | |||
| 15/11, 27/20 | |||
|- | |||
| 6 | |||
| 643.1 | |||
| '''16/11''' | |||
| 43.1 | |||
| 45/44, 56/55, 81/80 | |||
|} | |||
{| class="wikitable center-1 right-2 right-4" | |||
|+ style="font-size: 105%;" | Pajarous ({{nowrap| 10 & 22 }}) | |||
|- | |||
! rowspan="2" | # | |||
! colspan="2" | Period 0 | |||
! colspan="2" | Period 1 | |||
|- | |||
! Cents* | |||
! Approximate ratios | |||
! Cents* | |||
! Approximate ratios | |||
|- | |||
| 0 | |||
| 0.0 | |||
| '''1/1''' | |||
| 600.0 | |||
| 7/5, 10/7 | |||
|- | |||
| 1 | |||
| 709.6 | |||
| '''3/2''' | |||
| 109.6 | |||
| 15/14, 16/15, 21/20 | |||
|- | |||
| 2 | |||
| 219.1 | |||
| '''8/7''', '''9/8''' | |||
| 819.1 | |||
| '''8/5''' | |||
|- | |||
| 3 | |||
| 928.7 | |||
| 12/7 | |||
| 328.7 | |||
| 6/5, 11/9 | |||
|- | |||
| 4 | |||
| 438.2 | |||
| 9/7 | |||
| 1038.2 | |||
| 9/5, 11/6 | |||
|- | |||
| 5 | |||
| 1147.8 | |||
| 27/14, 48/25, 55/28, <br>88/45, 96/49 | |||
| 547.8 | |||
| '''11/8''', 27/20 | |||
|- | |||
| 6 | |||
| 657.3 | |||
| 22/15 | |||
| 57.3 | |||
| 22/21, 33/32, 81/80 | |||
|} | |||
<nowiki/>* In 11-limit CWE tuning, octave-reduced | |||
= Main page = | = Main page = | ||