132edo: Difference between revisions
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'''132edo''' is the [[EDO|equal division of the octave]] into 132 parts of 9.0909 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit. | '''132edo''' is the [[EDO|equal division of the octave]] into 132 parts of 9.0909 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit. | ||
{{Harmonics in equal|132}} | |||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
Revision as of 02:58, 24 June 2023
| ← 131edo | 132edo | 133edo → |
132edo is the equal division of the octave into 132 parts of 9.0909 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and 117440512/117406179 in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.96 | -4.50 | +3.90 | -3.91 | +3.23 | -4.16 | +2.64 | +4.14 | +2.49 | +1.95 | -1.00 |
| Relative (%) | -21.5 | -49.5 | +42.9 | -43.0 | +35.5 | -45.8 | +29.0 | +45.5 | +27.4 | +21.4 | -11.0 | |
| Steps (reduced) |
209 (77) |
306 (42) |
371 (107) |
418 (22) |
457 (61) |
488 (92) |
516 (120) |
540 (12) |
561 (33) |
580 (52) |
597 (69) | |