1230edo
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Prime factorization
2 × 3 × 5 × 41
Step size
0.97561¢
Fifth
720\1230 (702.439¢) (→24\41)
Semitones (A1:m2)
120:90 (117.1¢ : 87.8¢)
Dual sharp fifth
720\1230 (702.439¢) (→24\41)
Dual flat fifth
719\1230 (701.463¢)
Dual major 2nd
209\1230 (203.902¢)
Consistency limit
5
Distinct consistency limit
5
| ← 1229edo | 1230edo | 1231edo → |
1230 equal divisions of the octave (1230edo), or 1230-tone equal temperament (1230tet), 1230 equal temperament (1230et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 1230 equal parts of about 0.976 ¢ each.
Theory
A reasonable subgroup for 1230edo is 2.9.5.7.11.19, on which it can be seen as every other step of 2460edo.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.484 | +0.028 | -0.045 | -0.008 | -0.098 | +0.448 | -0.464 | +0.410 | +0.048 | +0.439 | +0.018 |
| relative (%) | +50 | +3 | -5 | -1 | -10 | +46 | -48 | +42 | +5 | +45 | +2 | |
| Steps (reduced) |
1950 (720) |
2856 (396) |
3453 (993) |
3899 (209) |
4255 (565) |
4552 (862) |
4805 (1115) |
5028 (108) |
5225 (305) |
5403 (483) |
5564 (644) | |
Miscellaneous properties
1230edo could be called a "highly Kartvelian edo" because it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See Kartvelian scales.