27edf: Difference between revisions

Revision as of 22:38, 19 August 2019 view source Moremajorthanmajor (talk \| contribs) 3,126 edits No edit summary Tag: Visual edit ← Older edit		Revision as of 18:39, 5 October 2022 view source Plumtree (talk \| contribs) autopatrolled, emailconfirmed 1,976 edits m Infobox ET added Newer edit →
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			{{Infobox ET}}
	'''[[EDF\|Division of the just perfect fifth]] into 27 equal parts''' (27EDF) is related to [[46edo\|46 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 4.0767 cents compressed and the step size is about 25.9983 cents. Unlike 46edo, it is only consistent up to the [[5-odd-limit\|6-integer-limit]], with discrepancy for the 7th harmonic. It is related to the regular temperament which tempers out 4375/4374 and 2199023255552/2188322577315 in the 7-limit, which is supported by 46, [[323edo\|323]], [[369edo\|369]], [[415edo\|415]], and [[692edo\|692]] EDOs.		'''[[EDF\|Division of the just perfect fifth]] into 27 equal parts''' (27EDF) is related to [[46edo\|46 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 4.0767 cents compressed and the step size is about 25.9983 cents. Unlike 46edo, it is only consistent up to the [[5-odd-limit\|6-integer-limit]], with discrepancy for the 7th harmonic. It is related to the regular temperament which tempers out 4375/4374 and 2199023255552/2188322577315 in the 7-limit, which is supported by 46, [[323edo\|323]], [[369edo\|369]], [[415edo\|415]], and [[692edo\|692]] EDOs.