482edo

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← 481edo

482edo

483edo →

Prime factorization	2 × 241
Step size	2.48963 ¢
Fifth	282\482 (702.075 ¢) (→ 141\241)
Semitones (A1:m2)	46:36 (114.5 ¢ : 89.63 ¢)
Consistency limit	9
Distinct consistency limit	9

Theory

Prime harmonics with less than 17% (1 standard deviation error) in 482edo are 3, 5, 7, 17, 31, 37. 11 and 13 have rather large errors, but they are reasonable to work with.

In the 7-limit, 482edo provides excellent tuning for the tertiaseptal temperament.

Prime harmonics

Approximation of prime harmonics in 482edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.00	+0.12	-0.42	-0.36	-1.11	+0.97	-0.39	+1.24	-0.89	+1.13	+0.19
	Relative (%)	+0.0	+4.8	-16.9	-14.5	-44.6	+38.8	-15.7	+49.9	-35.7	+45.3	+7.7
Steps (reduced)		482 (0)	764 (282)	1119 (155)	1353 (389)	1667 (221)	1784 (338)	1970 (42)	2048 (120)	2180 (252)	2342 (414)	2388 (460)

Regular temperament properties

Subgroup	Comma list	Mapping	Optimal 8ve stretch (¢)	Tuning error
				Absolute (¢)	Relative (%)
2.3.5	[24 -21 4⟩, [-59 5 22⟩	[⟨482 764 1119]]	+0.0353	0.0587	4.33
2.3.5.7	2401/2400, 65625/65536, [8 -20 9 1⟩	[⟨482 764 1119 1353]]	+0.0587	0.1018	4.09
2.3.5.7.11	2401/2400, 9801/9800, 19712/19683, 65625/65536	[⟨482 764 1119 1353 1667]]	+0.1111	0.1389	5.58
2.3.5.7.11.13	676/675, 1001/1000, 1716/1715, 10648/10647, 65625/65536	[⟨482 764 1119 1353 1667 1783]] (482f)	+0.1612	0.1692	6.80
2.3.5.7.11.13	625/624, 847/845, 2401/2400, 9801/9800, 35750/35721	[⟨482 764 1119 1353 1667 1784]] (482)	+0.0491	0.1880	7.55