4/9-comma meantone: Difference between revisions

Revision as of 06:26, 13 November 2024 view source Lucius Chiaraviglio (talk \| contribs) 1,164 edits Add ragisma = 4375/4374 Tag: Visual edit ← Older edit		Revision as of 11:42, 18 March 2025 view source Lériendil (talk \| contribs) autopatrolled, Interface administrators, Sysops 7,596 edits m changed novelty to niche Newer edit →
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	{{~~Novelty~~}}		{{Niche}}

	'''4/9-comma meantone''' is a tuning of [[meantone]] where the [[3/2\|fifth]] is flattened by 4/9 of the [[81/80\|syntonic comma]], producing a fifth of 692.396649¢ cents. This is approximated well by [[26edo]] (15\26 is 692.307692¢, which is flatter by 0.088957¢, for a cumulative error of only 2.312882¢ for proceeding all the way around the 26edo circle of fifths). The [[eigenmonzo]] is [[2500/2187]] (231.569849¢), which is only a ragisma ([[4375/4374]], 0.395756¢) sharp of [[8/7]] (231.174094¢).		'''4/9-comma meantone''' is a tuning of [[meantone]] where the [[3/2\|fifth]] is flattened by 4/9 of the [[81/80\|syntonic comma]], producing a fifth of 692.396649¢ cents. This is approximated well by [[26edo]] (15\26 is 692.307692¢, which is flatter by 0.088957¢, for a cumulative error of only 2.312882¢ for proceeding all the way around the 26edo circle of fifths). The [[eigenmonzo]] is [[2500/2187]] (231.569849¢), which is only a ragisma ([[4375/4374]], 0.395756¢) sharp of [[8/7]] (231.174094¢).