- Ditone
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In music, a ditone is the interval 81:64[1], which is 407.82 cents. It is the major third in Pythagorean tuning. The ditone is evenly divisible by two major tones (9/8 or 203.91 cents) and is wider than a just major third (5/4, 386.31 cents) by a syntonic comma (81/80, 21.51 cents).
Play (help·info)
"The major third that appears commonly in the [Pythagorean] system (C-E, D-F♯, etc.) is more properly known as the Pythagorean ditone and consists of two major and two minor semitones (2M+2m). This is the interval that is extremely sharp, at 408c (the pure major third is only 386c)."[2]
It may also be thought of as four justly tuned fifths minus two octaves.
See also
Sources
- ^ Barbour, James Murray (2004). Tuning and temperament, a historical survey, p.v. ISBN 9780486434063.
- ^ Kite-Powell, Jeffery T. (2007). A Performer's Guide to Renaissance Music, p.281. ISBN 9780253348661.
Intervals (list) Numbers in brackets are the number of semitones in the interval.
Fractional semitones are approximate.Twelve-semitone
(Western)PerfectMajorMinorAugmentedDiminishedCompoundOther systems SupermajorNeutralSubminor7-limitchromatic semitone (⅔) · diatonic semitone (1⅙) · whole tone (2⅓) · subminor third (2⅔) · supermajor third (4⅓) · harmonic (subminor) seventh (9⅔)Other intervals GroupsPythagorean comma · Pythagorean apotome · Pythagorean limma · Diesis · Septimal diesis · Septimal comma · Syntonic comma · Schisma · Diaschisma · Major limma · Ragisma · Breedsma · Kleisma · Septimal kleisma · Septimal semicomma · Orwell comma · Semicomma · Septimal sixth-tone · Septimal quarter tone · Septimal third-tone
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