1236edo

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← 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 uniquely 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)

Divisors

1236 = 2² × 3 × 103, with subset edos 2, 3, 6, 12, 103, 206, 309, and 618. It is divisible by 12, and is an atomic system.