1230edo

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← 1229edo 1230edo 1231edo →
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

Template:EDO intro

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 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 (%) +49.6 +2.8 -4.7 -0.8 -10.1 +45.9 -47.5 +42.1 +4.9 +45.0 +1.9
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.