132edo

← 131edo

132edo

133edo →

Prime factorization	22 × 3 × 11
Step size	9.09091 ¢
Fifth	77\132 (700 ¢) (→ 7\12)
Semitones (A1:m2)	11:11 (100 ¢ : 100 ¢)
Consistency limit	5
Distinct consistency limit	5

132edo is only consistent to the 5-odd-limit. The equal temperament tempers out 531441/524288 (Pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit.

Using the patent val, it tempers out 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, and 2420/2401 in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.

Odd harmonics

Approximation of odd harmonics in 132edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-1.96	-4.50	+3.90	-3.91	+3.23	-4.16	+2.64	+4.14	+2.49	+1.95	-1.00
	Relative (%)	-21.5	-49.5	+42.9	-43.0	+35.5	-45.8	+29.0	+45.5	+27.4	+21.4	-11.0
Steps (reduced)		209 (77)	306 (42)	371 (107)	418 (22)	457 (61)	488 (92)	516 (120)	540 (12)	561 (33)	580 (52)	597 (69)

Subsets and supersets

Since 132 factors into 2² × 3 × 11, 132edo has subset edos 2, 3, 6, 11, 12, 22, 44, and 66.