1/3-comma meantone: Difference between revisions
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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 '''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. | In other words, 1/3-comma meantone is the specific tuning of [[meantone]] temperament with an [[eigenmonzo]] (unchanged-interval) 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. | 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. | ||
Revision as of 23:41, 5 May 2023
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 (unchanged-interval) 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, German)