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

The 1236 divisions of the octave divides the octave into 1236 equal parts of 0.9709 cents each. It 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}.

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.

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)