160edo
160edo is the equal division of the octave into 160 parts of exact 7.5 cents each.
| ← 159edo | 160edo | 161edo → |
It is closely related to 80edo, but the patent vals differ on the mapping for 7. It is contorted in the 5-limit, tempering out 2048/2025 (diaschisma) and 390625000/387420489 (quartonic comma).
Using the patent val ⟨160 254 372 449 554 592], it tempers out 245/243, 6144/6125, and 3176523/3125000 in the 7-limit; 441/440, 2200/2187, 4000/3993, and 6912/6875 in the 11-limit; 196/195, 325/324, 352/351, 832/825, and 3146/3125 in the 13-limit.
Using the 160bce val ⟨160 253 371 449 553 592], it tempers out 78732/78125 and 145282683375/137438953472 in the 5-limit; 1029/1024, 2430/2401, and 390625/387072 in the 7-limit; 385/384, 441/440, 2187/2156, and 9375/9317 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 1875/1859 in the 13-limit.
Using the 160ce val ⟨160 254 371 449 553 592], it tempers out 1638400/1594323 and 2197265625/2147483648 in the 5-limit; 875/864, 2401/2400, and 2097152/2066715 in the 7-limit; 896/891, 3388/3375, 4125/4096, and 12005/11979 in the 11-limit; 275/273, 572/567, 847/845, 1573/1568, and 3185/3168 in the 13-limit.
Prime harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | 25 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.04 | +3.69 | -1.33 | -1.41 | +3.68 | -0.53 | -0.77 | +0.04 | +2.49 | +1.72 | +1.73 | -0.13 |
| Relative (%) | +40.6 | +49.2 | -17.7 | -18.8 | +49.1 | -7.0 | -10.2 | +0.6 | +33.2 | +22.9 | +23.0 | -1.7 | |
| Steps (reduced) |
254 (94) |
372 (52) |
449 (129) |
507 (27) |
554 (74) |
592 (112) |
625 (145) |
654 (14) |
680 (40) |
703 (63) |
724 (84) |
743 (103) | |