1230edo

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← 1229edo1230edo1231edo →
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¢)
Sharp fifth 720\1230 (702.439¢) (→24\41)
Flat fifth 719\1230 (701.463¢)
Major 2nd 209\1230 (203.902¢)
Consistency limit 5
Distinct consistency limit 5

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

Approximation of odd harmonics in 1230edo
Harmonic 3 5 7 9 11 13 15 17 19 21
Error absolute (¢) +0.484 +0.028 -0.045 -0.008 -0.098 +0.448 -0.464 +0.410 +0.048 +0.439
relative (%) +50 +3 -5 -1 -10 +46 -48 +42 +5 +45
Steps
(reduced)
1950
(720)
2856
(396)
3453
(993)
3899
(209)
4255
(565)
4552
(862)
4805
(1115)
5028
(108)
5225
(305)
5403
(483)

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.