Pajara: Difference between revisions
We shouldn't confuse readers by interordinals and neutrals, per discussion in the server |
→Interval chains: Modernize |
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== Interval chains == | == Interval chains == | ||
In the following table, odd harmonics 1–11 and their inverses are in '''bold'''. | |||
{| class="wikitable center-1 right-2 right-4" | |||
|- | |||
! 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, 81/80 | |||
|} | |||
<nowiki/>* In 11-limit CWE tuning, octave-reduced | |||
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. The other, called "pajarous" to avoid confusion, loses some accuracy and there's little reason to use it unless you're using 22edo, which is the intersection of both systems. | 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. The other, called "pajarous" to avoid confusion, loses some accuracy and there's little reason to use it unless you're using 22edo, which is the intersection of both systems. | ||
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| | | | ||
|} | |} | ||
<nowiki>*</nowiki> In 11-limit POTE tuning | <nowiki>*</nowiki> In 11-limit POTE tuning | ||
== Scales == | == Scales == | ||