1/3-comma meantone: Difference between revisions
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m Xenwolf moved page 1-3 Syntonic Comma Meantone to 1/3 syntonic comma meantone: changed into intended lemma (that was not possible in Wikispaces), changed into Sentence case |
Add the amount by which thirds and fifths are off |
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In other words, 1/3-comma meantone is the specific tuning of meantone temperament with an [[Fractional_monzos|eigenmonzo]] of 6/5. | In other words, 1/3-comma meantone is the specific tuning of meantone temperament with an [[Fractional_monzos|eigenmonzo]] of 6/5. | ||
The fifth is 694.786 cents in size, and the major third 379.145 cents | The fifth is 694.786 cents in size, and the major third 379.145 cents. Both are flat by 1/3 syntonic comma (''c''. 7.2 cents) than that in the JI. | ||
1/3-comma meantone is practically identical to the closed system of [[19edo|19edo]] (although technically there is a slight difference). | 1/3-comma meantone is practically identical to the closed system of [[19edo|19edo]] (although technically there is a slight difference). | ||
Revision as of 13:42, 10 April 2020
In 1/3-comma meantone temperament, each perfect fifth is tempered by a third of a syntonic comma from its just value of 3/2. This results in minor thirds being exactly 6/5 (and major sixths being exactly 5/3).
In other words, 1/3-comma meantone is the specific tuning of meantone temperament with an eigenmonzo of 6/5.
The fifth is 694.786 cents in size, and the major third 379.145 cents. Both are flat by 1/3 syntonic comma (c. 7.2 cents) than that in the JI.
1/3-comma meantone is practically identical to the closed system of 19edo (although technically there is a slight difference).
External links
Die mitteltönige Stimmung mit reinen kleinen Terzen (explanation of 1/3 comma meantone, in german)