1/5-comma meantone: Difference between revisions
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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. | 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 | The major third ([[5/4]]) and the fifth are equally off from JI by 1/5 syntonic comma (''c''. 4.3 [[Cent|cents]]), with the major third sharp and the fifth flat. | ||
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.) | |||
[[Category:Meantone]] | [[Category:Meantone]] | ||
Revision as of 14:03, 10 April 2020
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.
The major third (5/4) and the fifth are equally off from JI by 1/5 syntonic comma (c. 4.3 cents), with the major third sharp and the fifth flat.
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.)