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, 57, 95, 171, and 285.

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''855EDO''' is the [[EDO|equal division of the octave]] into 855 parts of 1.40351 [[cent]]s each (dividing the steps of [[171edo|171EDO]] into five). It is consistent to the 13-limit, tempering out 1575/1573, 4225/4224, 6656/6655, 39366/39325, and 50421/50336 using the patent val.
+{{EDO intro|855}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+edo 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]].
+=== Prime harmonics ===
+{{Harmonics in equal|855}}
+=== Subsets and supersets ===
+Since 855 factors into 3<sup>2</sup> × 5 × 19, 855edo has subset edos {{EDOs| 3, 5, 9, 15, 19, 57, 95, 171, and 285 }}.

Revision as of 09:49, 20 October 2023