233edo: Difference between revisions

← Older edit Newer edit →

VisualWikitext

Revision as of 18:47, 3 July 2022 view source Fredg999 category edits (talk \| contribs) autopatrolled, Bots, emailconfirmed 4,405 edits m Sort key ← Older edit		Revision as of 21:26, 4 October 2022 view source Plumtree (talk \| contribs) autopatrolled, emailconfirmed 1,976 edits m Infobox ET added Newer edit →
Line 1:		Line 1:
			{{Infobox ET}}
	'''233edo''' is the [[EDO\|equal division of the octave]] into 233 parts of 5.1502 [[cent]]s each. It has a generally flat tendency, in the sense that if the octave is pure, 3, 5, 7, 11, 13, and 17 are all flat. 233edo is accurate for the 5th harmonic (only 0.0476 cents flat), but less for the third harmonic (1.5258 cents flat). It tempers out 78732/78125 and \|-53 32 1> in the 5-limit; 2401/2400, 65625/65536, and 177147/175616 in the 7-limit (supporting [[Breedsmic temperaments\|tertiaseptal]] and [[Breedsmic temperaments\|catafourth]]). Using the patent val, it tempers out 243/242, 441/440, 35937/35840, and 78408/78125 in the 11-limit; 351/350, 1001/1000, 1575/1573, 4225/4224, and 6656/6655 in the 13-limit.		'''233edo''' is the [[EDO\|equal division of the octave]] into 233 parts of 5.1502 [[cent]]s each. It has a generally flat tendency, in the sense that if the octave is pure, 3, 5, 7, 11, 13, and 17 are all flat. 233edo is accurate for the 5th harmonic (only 0.0476 cents flat), but less for the third harmonic (1.5258 cents flat). It tempers out 78732/78125 and \|-53 32 1> in the 5-limit; 2401/2400, 65625/65536, and 177147/175616 in the 7-limit (supporting [[Breedsmic temperaments\|tertiaseptal]] and [[Breedsmic temperaments\|catafourth]]). Using the patent val, it tempers out 243/242, 441/440, 35937/35840, and 78408/78125 in the 11-limit; 351/350, 1001/1000, 1575/1573, 4225/4224, and 6656/6655 in the 13-limit.