132edo
| ← 131edo | 132edo | 133edo → |
132 equal divisions of the octave (abbreviated 132edo or 132ed2), also called 132-tone equal temperament (132tet) or 132 equal temperament (132et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 132 equal parts of about 9.09 ¢ each. Each step represents a frequency ratio of 21/132, or the 132nd root of 2.
Using the patent val, 132edo 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 (%) | -22 | -49 | +43 | -43 | +36 | -46 | +29 | +45 | +27 | +21 | -11 | |
| Steps (reduced) |
209 (77) |
306 (42) |
371 (107) |
418 (22) |
457 (61) |
488 (92) |
516 (120) |
540 (12) |
561 (33) |
580 (52) |
597 (69) | |
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