855edo: Difference between revisions

855edo divides the steps of 171edo in five, and like 171edo, it is consistent to the 13-odd-limit, tempering out 1575/1573, 4225/4224, 6656/6655, 39366/39325, and 50421/50336 using the patent val.

Approximation of prime harmonics in 855edo
Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.201	-0.349	-0.405	+0.261	+0.174	+0.308	+0.031	+0.498	+0.598	+0.228
Error	Relative (%)	+0.0	-14.3	-24.9	-28.8	+18.6	+12.4	+21.9	+2.2	+35.5	+42.6	+16.2
Steps (reduced)		855 (0)	1355 (500)	1985 (275)	2400 (690)	2958 (393)	3164 (599)	3495 (75)	3632 (212)	3868 (448)	4154 (734)	4236 (816)

Since 855 factors into 3² × 5 × 19, 855edo has subset edos 3, 5, 9, 15, 19, 45, 57, 95, 171, and 285.

Revision as of 09:50, 20 October 2023 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 18,510 edits m I missed a divisor ← Older edit		Revision as of 11:36, 2 November 2023 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 18,510 edits m Adopt template: Factorization Newer edit →
Line 8:		Line 8:

	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 855 factors into ~~3<sup>2</sup> × 5 × 19~~, 855edo has subset edos {{EDOs\| 3, 5, 9, 15, 19, 45, 57, 95, 171, and 285 }}.		Since 855 factors into {{factorization\|855}}, 855edo has subset edos {{EDOs\| 3, 5, 9, 15, 19, 45, 57, 95, 171, and 285 }}.

Revision as of 11:36, 2 November 2023