532edo
| ← 531edo | 532edo | 533edo → |
532 equal divisions of the octave (532edo), or 532-tone equal temperament (532tet), 532 equal temperament (532et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 532 equal parts of about 2.26 ¢ each.
Theory
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.000 | -0.451 | -0.599 | +1.099 | -0.942 | +0.826 | +1.060 | +0.231 | +1.049 | -1.006 | +0.829 |
| relative (%) | +0 | -20 | -27 | +49 | -42 | +37 | +47 | +10 | +47 | -45 | +37 | |
| Steps (reduced) |
532 (0) |
843 (311) |
1235 (171) |
1494 (430) |
1840 (244) |
1969 (373) |
2175 (47) |
2260 (132) |
2407 (279) |
2584 (456) |
2636 (508) | |
Since 532 = 19 x 28, 532edo tempers out both the enneadeca, which sets 6/5 to be 5\19 of the octave, and the oquatonic comma, which sets 5/4 to be 9\28 of the octave. Therefore, it can be conceptualized as superset of 19edo and 28edo.
In addition to the enneadecal and oquatonic, it also supports untriton in the 5-limit.
Its 7th harmonic is halfway between two notes. In the patent val, 532edo tempers out 65625/65536 and the dimcomp comma. In the 532d val it tempers out 4375/4374 and the meter.
In the 11-limit, 532d val supports the hemienneadecal temperament.