1230edo

← 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

Theory

1230edo is what is known as "highly Kartvelian EDO", where 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.

The best subgroup for 1230edo is 2.9.5.7.11.15.19, on which it can be seen as every other step of 2460edo.

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)