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.

Prime harmonics

Approximation of prime harmonics in 5407372813edo

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

Approximation of prime harmonics in 5407372813edo (continued)

Harmonic		29	31	37	41	43	47	53	59	61
Error	Absolute (¢)	-0.0000000274	-0.0000000113	+0.0000000237	-0.0000000012	+0.0000000630	+0.0000000101	-0.0000000070	+0.0000000660	-0.0000000403
	Relative (%)	-12.4	-5.1	+10.7	-0.5	+28.4	+4.5	-3.2	+29.7	-18.2
Steps (reduced)		26268914359 (4639423107)	26789186439 (5159695187)	28169456500 (1132592435)	28970281054 (1933416989)	29341836511 (2304972446)	30035732744 (2998868679)	30973001341 (3936137276)	31809644094 (4772780029)	32069707840 (5032843775)

Approximation of prime harmonics in 5407372813edo (continued)

Harmonic		67	71	73	79	83	89	97	101	103
Error	Absolute (¢)	+0.0000000634	+0.0000000367	+0.0000000161	+0.0000000431	+0.0000000292	+0.0000000349	-0.0000000027	-0.0000000081	+0.0000000442
	Relative (%)	+28.5	+16.5	+7.2	+19.4	+13.2	+15.7	-1.2	-3.6	+19.9
Steps (reduced)		32801605770 (357368892)	33253975381 (809738503)	33470689037 (1026452159)	34086892637 (1642655759)	34472214903 (2027978025)	35016704899 (2572468021)	35688189271 (3243952393)	36003431755 (3559194877)	36156401165 (3712164287)

Approximation of prime harmonics in 5407372813edo (continued)

Harmonic		107	109	113	127	131	137	139	149	151
Error	Absolute (¢)	-0.0000000006	-0.0000000381	-0.0000000352	+0.0000000264	+0.0000000350	-0.0000000449	+0.0000000013	-0.0000000028	+0.0000000185
	Relative (%)	-0.3	-17.2	-15.8	+11.9	+15.8	-20.3	+0.6	-1.3	+8.3
Steps (reduced)		36453625302 (4009388424)	36598095911 (4153859033)	36879250301 (4435013423)	37790423574 (5346186696)	38032340321 (180730630)	38381705711 (530096020)	38494768414 (643158723)	39036735590 (1185125899)	39140752997 (1289143306)