1236edo

← 1235edo

1236edo

1237edo →

Prime factorization	22 × 3 × 103
Step size	0.970874 ¢
Fifth	723\1236 (701.942 ¢) (→ 241\412)
Semitones (A1:m2)	117:93 (113.6 ¢ : 90.29 ¢)
Consistency limit	17
Distinct consistency limit	17

1236edo is a zeta peak edo, though not zeta integral nor zeta gap. It is a strong 17-limit system and distinctly consistent through the 17-odd-limit, with a 17-limit comma basis of {2601/2600, 4096/4095, 5832/5831, 6656/6655, 9801/9800, 105644/105625}.

Prime harmonics

Approximation of prime harmonics in 1236edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.013	+0.094	+0.106	+0.138	+0.249	-0.101	-0.426	-0.119	-0.451	-0.375
	Relative (%)	+0.0	-1.4	+9.7	+10.9	+14.3	+25.7	-10.4	-43.8	-12.3	-46.5	-38.7
Steps (reduced)		1236 (0)	1959 (723)	2870 (398)	3470 (998)	4276 (568)	4574 (866)	5052 (108)	5250 (306)	5591 (647)	6004 (1060)	6123 (1179)

Subsets and supersets

Since 1236 factors into 2² × 3 × 103, 1236edo has subset edos 2, 3, 6, 12, 103, 206, 309, and 618. It is divisible by 12, and is an atomic system.