Frequency Proportions
A major sixth in just intonation most often corresponds to a pitch ratio of 5:3 ( play), or 884 cents, while in 12-tone equal temperament, a major sixth is equal to nine semitones, or 900 cents, 15.641 cents higher than the just major sixth and 33 cents lower than the 12:7 septimal major sixth or supermajor sixth of 933 cents.
The Pythagorean major sixth, or 27th harmonic, is 27:16 or 906 cents, constructed from three just perfect fifths (C-A = C-G-D-A = 702+702+702=2106-1200=906). The 27:16 Pythagorean major sixth arises in the C major scale between F and D. Play
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