2132edo

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2132edo

2133edo →

Prime factorization	22 × 13 × 41
Step size	0.562852 ¢
Fifth	1247\2132 (701.876 ¢)
Semitones (A1:m2)	201:161 (113.1 ¢ : 90.62 ¢)
Consistency limit	9
Distinct consistency limit	9

2132 equal divisions of the octave (abbreviated 2132edo or 2132ed2), also called 2132-tone equal temperament (2132tet) or 2132 equal temperament (2132et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 2132 equal parts of about 0.563 ¢ each. Each step represents a frequency ratio of 2^1/2132, or the 2132nd root of 2.

Prime harmonics

Approximation of prime harmonics in 2132edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.079	-0.197	-0.158	+0.277	-0.190	-0.265	+0.236	-0.132	-0.121	-0.195
	Relative (%)	+0.0	-14.0	-35.1	-28.1	+49.2	-33.7	-47.1	+41.9	-23.4	-21.5	-34.7
Steps (reduced)		2132 (0)	3379 (1247)	4950 (686)	5985 (1721)	7376 (980)	7889 (1493)	8714 (186)	9057 (529)	9644 (1116)	10357 (1829)	10562 (2034)

Approximation of prime harmonics in 2132edo (continued)

Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	+0.251	-0.169	+0.115	-0.216	+0.041	+0.115	-0.187	+0.055	-0.147	+0.166	+0.191
	Relative (%)	+44.5	-30.1	+20.4	-38.3	+7.4	+20.5	-33.2	+9.8	-26.1	+29.4	+33.9
Steps (reduced)		11107 (447)	11422 (762)	11569 (909)	11842 (1182)	12212 (1552)	12542 (1882)	12644 (1984)	12933 (141)	13111 (319)	13197 (405)	13440 (648)

Subsets and supersets

Since 2132 factors into 2² × 13 × 41, 2132edo has subset edos 2, 4, 13, 26, 41, 52, 82, 164, 533, and 1066.