5407372813edo

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5407372813edo

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Prime factorization	5407372813 (prime)
Step size	2.21919e-07 ¢
Fifth	3163110323\5407372813 (701.955 ¢)
Semitones (A1:m2)	512281009:406566824 (113.7 ¢ : 90.22 ¢)
Consistency limit	155
Distinct consistency limit	155

5407372813edo is consistent in the 155-odd-limit and thus has been used in Scale Workshop to quickly decide the constant structure property for JI scales.

Theory

Approximation of prime harmonics in 5407372813edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000000000	-0.0000000053	-0.0000000077	+0.0000000053	-0.0000000115	-0.0000000048	+0.0000000167	+0.0000000467	-0.0000000230	-0.0000000274	-0.0000000113
	Relative (%)	+0.0	-2.4	-3.5	+2.4	-5.2	-2.2	+7.5	+21.0	-10.4	-12.4	-5.1
Steps (reduced)		5407372813 (0)	8570483136 (3163110323)	12555530854 (1740785228)	15180414682 (4365669056)	18706436483 (2484318044)	20009657128 (3787538689)	22102435442 (472944190)	22970127748 (1340636496)	24460585939 (2831094687)	26268914359 (4639423107)	26789186439 (5159695187)

Approximation of prime harmonics in 5407372813edo (continued)

Harmonic		37	41	43	47	53	59	61	67	71	73	79	83	89	97
Error	Absolute (¢)	+0.0000000237	-0.0000000012	+0.0000000630	+0.0000000101	-0.0000000070	+0.0000000660	-0.0000000403	+0.0000000634	+0.0000000367	+0.0000000161	+0.0000000431	+0.0000000292	+0.0000000349	-0.0000000027
	Relative (%)	+10.7	-0.5	+28.4	+4.5	-3.2	+29.7	-18.2	+28.5	+16.5	+7.2	+19.4	+13.2	+15.7	-1.2
Steps (reduced)		28169456500 (1132592435)	28970281054 (1933416989)	29341836511 (2304972446)	30035732744 (2998868679)	30973001341 (3936137276)	31809644094 (4772780029)	32069707840 (5032843775)	32801605770 (357368892)	33253975381 (809738503)	33470689037 (1026452159)	34086892637 (1642655759)	34472214903 (2027978025)	35016704899 (2572468021)	35688189271 (3243952393)