227edo: Difference between revisions

← Older edit Newer edit →

VisualWikitext

Revision as of 18:44, 3 July 2022 view source Fredg999 category edits (talk \| contribs) autopatrolled, Bots 4,330 edits m Sort key ← Older edit		Revision as of 21:25, 4 October 2022 view source Plumtree (talk \| contribs) autopatrolled 1,976 edits m Infobox ET added Newer edit →
Line 1:		Line 1:
			{{Infobox ET}}
	'''227EDO''' is the [[EDO\|equal division of the octave]] into 227 parts of 5.2863 [[cent]]s each. It tempers out 15625/15552 (kleisma) and \|61 -37 -1> in the 5-limit; 5120/5103, 65625/65536, and 117649/116640 in the 7-limit, so that it [[support]]s [[Kleismic_family#Countercata\|countercata temperament]]. In the 11-limit, it tempers out 385/384, 2200/2187, 3388/3375, and 12005/11979, so that it provides the [[Optimal_patent_val\|optimal patent val]] for 11-limit countercata. In the 13-limit, it tempers out 325/324, 352/351, 625/624, and 847/845. 227EDO is accurate for the 13th harmonic, as the denominator of a convergent to log<sub>2</sub>13, after [[10edo\|10]] and before [[5231edo\|5231]].		'''227EDO''' is the [[EDO\|equal division of the octave]] into 227 parts of 5.2863 [[cent]]s each. It tempers out 15625/15552 (kleisma) and \|61 -37 -1> in the 5-limit; 5120/5103, 65625/65536, and 117649/116640 in the 7-limit, so that it [[support]]s [[Kleismic_family#Countercata\|countercata temperament]]. In the 11-limit, it tempers out 385/384, 2200/2187, 3388/3375, and 12005/11979, so that it provides the [[Optimal_patent_val\|optimal patent val]] for 11-limit countercata. In the 13-limit, it tempers out 325/324, 352/351, 625/624, and 847/845. 227EDO is accurate for the 13th harmonic, as the denominator of a convergent to log<sub>2</sub>13, after [[10edo\|10]] and before [[5231edo\|5231]].