185edo
Jump to navigation
Jump to search
Prime factorization
5 × 37
Step size
6.48649¢
Fifth
108\185 (700.541¢)
Semitones (A1:m2)
16:15 (103.8¢ : 97.3¢)
Consistency limit
3
Distinct consistency limit
3
| ← 184edo | 185edo | 186edo → |
185edo is the equal division of the octave into 185 parts of 6.4865 cents each. It tempers out the commas 126/125, 1029/1024, 6144/6125 and 243/242, making it useful for various purposes. It is an excellent tuning for starling temperament, the 7-limit planar temperament tempering out 126/125; valentine temperament, which also tempers out 1029/1024; and the rank three 89&154&185 temperament tempering out 126/125 and 243/242. With 185cff, the val <185 293 429 519 640 686|, it makes for a first-class tuning of the 13-limit miraculous temperament.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | -1.41 | +2.88 | -2.34 | -2.83 | +0.03 | +2.72 | +1.46 | -1.17 | +0.87 | +2.73 | +0.91 |
| relative (%) | -22 | +44 | -36 | -44 | +1 | +42 | +23 | -18 | +13 | +42 | +14 | |
| Steps (reduced) |
293 (108) |
430 (60) |
519 (149) |
586 (31) |
640 (85) |
685 (130) |
723 (168) |
756 (16) |
786 (46) |
813 (73) |
837 (97) | |