462edo

← 461edo

462edo

463edo →

Prime factorization	2 × 3 × 7 × 11
Step size	2.5974 ¢
Fifth	270\462 (701.299 ¢) (→ 45\77)
Semitones (A1:m2)	42:36 (109.1 ¢ : 93.51 ¢)
Consistency limit	3
Distinct consistency limit	3

Theory

462et is only consistent to the 3-odd-limit. It can be considered for the 2.3.7.11.17 subgroup, tempering out 1089/1088, 34992/34969, 944163/941192 and 10323369/10307264.

Odd harmonics

Approximation of odd harmonics in 462edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.66	+0.70	+0.01	+1.28	-0.67	+1.03	+0.04	-1.06	+1.19	-0.65	+0.30
	Relative (%)	-25.3	+26.9	+0.2	+49.5	-25.7	+39.7	+1.7	-40.8	+45.7	-25.1	+11.4
Steps (reduced)		732 (270)	1073 (149)	1297 (373)	1465 (79)	1598 (212)	1710 (324)	1805 (419)	1888 (40)	1963 (115)	2029 (181)	2090 (242)

Subsets and supersets

462 factors into 2 × 3 × 7 × 11, with subset edos 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, and 231. 1386edo, which triples it, gives a good correction to the harmonic 5.

Regular temperament properties

Subgroup	Comma List	Mapping	Optimal 8ve Stretch (¢)	Tuning Error
				Absolute (¢)	Relative (%)
2.3	[-122 77⟩	[⟨462 732]]	0.2070	0.2071	7.97