836edo

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836edo

837edo →

Prime factorization	22 × 11 × 19
Step size	1.43541 ¢
Fifth	489\836 (701.914 ¢)
Semitones (A1:m2)	79:63 (113.4 ¢ : 90.43 ¢)
Consistency limit	11
Distinct consistency limit	11

836edo is a strong 11-limit system, having the lowest absolute error beating 612edo.

836edo is a tuning for the enneadecal in the 7-limit as well as the hemienneadecal in the 11-limit. It also tunes orga and quasithird. In addition, it is divisible by 44 and in light of that it tunes ruthenium in the 7-limit and also 11-limit.

Prime harmonics

Approximation of prime harmonics in 836edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.041	-0.189	+0.074	-0.122	+0.621	-0.171	-0.384	+0.434	-0.391	+0.419
	Relative (%)	+0.0	-2.9	-13.2	+5.1	-8.5	+43.2	-11.9	-26.7	+30.2	-27.2	+29.2
Steps (reduced)		836 (0)	1325 (489)	1941 (269)	2347 (675)	2892 (384)	3094 (586)	3417 (73)	3551 (207)	3782 (438)	4061 (717)	4142 (798)

Subsets and supersets

836edo has subset edos 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418.