1650edo

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1650edo

1651edo →

Prime factorization	2 × 3 × 52 × 11
Step size	0.727273 ¢
Fifth	965\1650 (701.818 ¢) (→ 193\330)
Semitones (A1:m2)	155:125 (112.7 ¢ : 90.91 ¢)
Consistency limit	11
Distinct consistency limit	11

1650edo is consistent in the 11-odd-limit, being a flat system in the no-13s 19-limit. Being a landscape system, it tunes 11-limit temperaments semiseptichrome and zinc. A comma basis in the 2.3.5.7.11.17.19 subgroup is {5832/5831, 5985/5984, 9801/9800, 57375/57344, 151263/151250, 2646875/2646016}.

Prime harmonics

Approximation of prime harmonics in 1650edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.137	-0.132	-0.099	-0.045	+0.200	-0.228	-0.058	+0.089	+0.241	-0.308
	Relative (%)	+0.0	-18.8	-18.1	-13.6	-6.2	+27.4	-31.4	-8.0	+12.3	+33.1	-42.4
Steps (reduced)		1650 (0)	2615 (965)	3831 (531)	4632 (1332)	5708 (758)	6106 (1156)	6744 (144)	7009 (409)	7464 (864)	8016 (1416)	8174 (1574)

Subsets and supersets

Since 1650 factors as 2 × 3 × 5² × 11, 1650edo has subset edos 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, and 825.