1/5-comma meantone: Difference between revisions
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m Xenwolf moved page 1-5 Syntonic Comma Meantone to 1/5 syntonic comma meantone: changed into intended lemma (that was not possible in Wikispaces), changed into Sentence case |
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In 1/5-comma [[ | In '''1/5-comma [[meantone]]''' temperament, each perfect fifth is tempered by a fifth of a [[syntonic comma]] from its just value of [[3/2]]. This results in major sevenths being exactly [[15/8]] (and minor seconds being exactly [[16/15]]), and in fact this defines 1/5-comma; it is the regular tuning which tempers out [[81/80]] and tunes 2 and 16/15 purely. | ||
1/5-comma meantone is practically identical to the closed system of [[ | 1/5-comma meantone is practically identical to the closed system of [[43edo]] (although technically there is a slight difference, as the fifth of 43 is 0.0207 [[cent]]s sharper.) | ||
[[Category:Meantone]] | |||
Revision as of 21:40, 24 October 2018
In 1/5-comma meantone temperament, each perfect fifth is tempered by a fifth of a syntonic comma from its just value of 3/2. This results in major sevenths being exactly 15/8 (and minor seconds being exactly 16/15), and in fact this defines 1/5-comma; it is the regular tuning which tempers out 81/80 and tunes 2 and 16/15 purely.
1/5-comma meantone is practically identical to the closed system of 43edo (although technically there is a slight difference, as the fifth of 43 is 0.0207 cents sharper.)