User:Eliora/Pokoisma: Difference between revisions
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Created page with "Pokoisma is the comma which identifies 116/115 with 1/80th of the octave. Tempering it out in the full 29-limit produces rank-9 pokoismic temperament, with 2.5.23.29 subgroup version being named pokoic. Also, 1120 & 2000 temperament is in development, which is simply called pokoi. All terms derive from the Old Slavic name for the letter П - which has Cyrillic numeral value of 80." |
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Tempering it out in the full 29-limit produces rank-9 pokoismic temperament, with 2.5.23.29 subgroup version being named pokoic. | Tempering it out in the full 29-limit produces rank-9 pokoismic temperament, with 2.5.23.29 subgroup version being named pokoic. | ||
Also, 1120 & 2000 temperament is in development, which is simply called pokoi. | Also, 1120 & 2000 temperament is in development, which is simply called pokoi. 4880 & 6880 though for now is the better edo join, although 2000edo is consistent in the 29-odd-limit. | ||
All terms derive from the Old Slavic name for the letter П - which has Cyrillic numeral value of 80. | All terms derive from the Old Slavic name for the letter П - which has Cyrillic numeral value of 80. | ||
{{harmonics in equal|4880}} | |||
{{harmonics in equal|6880}} | |||
Revision as of 18:04, 4 September 2026
Pokoisma is the comma which identifies 116/115 with 1/80th of the octave.
Tempering it out in the full 29-limit produces rank-9 pokoismic temperament, with 2.5.23.29 subgroup version being named pokoic.
Also, 1120 & 2000 temperament is in development, which is simply called pokoi. 4880 & 6880 though for now is the better edo join, although 2000edo is consistent in the 29-odd-limit.
All terms derive from the Old Slavic name for the letter П - which has Cyrillic numeral value of 80.
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.094 | -0.002 | +0.027 | -0.058 | -0.006 | -0.036 | +0.092 | +0.045 | +0.028 | +0.121 | +0.004 |
| Relative (%) | +38.3 | -0.9 | +10.8 | -23.4 | -2.6 | -14.6 | +37.4 | +18.1 | +11.4 | +49.1 | +1.8 | |
| Steps (reduced) |
7735 (2855) |
11331 (1571) |
13700 (3940) |
15469 (829) |
16882 (2242) |
18058 (3418) |
19066 (4426) |
19947 (427) |
20730 (1210) |
21435 (1915) |
22075 (2555) | |
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0799 | +0.0235 | +0.0694 | -0.0147 | +0.0193 | -0.0044 | -0.0710 | +0.0446 | +0.0451 | -0.0251 | -0.0185 |
| Relative (%) | +45.8 | +13.5 | +39.8 | -8.4 | +11.0 | -2.5 | -40.7 | +25.6 | +25.9 | -14.4 | -10.6 | |
| Steps (reduced) |
10905 (4025) |
15975 (2215) |
19315 (5555) |
21809 (1169) |
23801 (3161) |
25459 (4819) |
26879 (6239) |
28122 (602) |
29226 (1706) |
30219 (2699) |
31122 (3602) | |