1/2-comma meantone

Revision as of 20:15, 2 July 2020 by Yourmusic Productions (talk | contribs) (Correct math and example. 33 is actually a closer approximation than 26.)

In 1/2-comma meantone temperament, each perfect fifth is tempered by a half of a syntonic comma from its just value of 3/2. This results in minor sevenths being exactly 9/5 (and major seconds being exactly 10/9).

In this system, the "major thirds" are exactly 100/81 or approximately 365 cents, thus bordering on neutral thirds. The fifths of this temperament fall between those of 26edo and [[33edo], but closer to 33, which is the best small number candidate for a closed system approximating this meantime.