- Septimal diatonic semitone
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Major diatonic semitone Inverse major seventh Name Other names Septimal diatonic semitone Abbreviation Size Semitones 1 Interval class 1 Just interval 15:14 Cents Equal temperament 100 24 equal temperament 100 Just intonation 119.44 In music, a major diatonic semitone[1] or septimal diatonic semitone is the interval 15:14 Play (help·info). It is about 119.44 cents. The major diatonic semitone may be derived from the harmonic series as the interval between the fourteenth and fifteenth harmonics.
The major diatonic semitone equals a just diatonic semitone Play (help·info) (16:15, or 111.73 cents) plus a septimal kleisma (the interval 225:224, or 7.71 cents).
See also minor diatonic semitone (or undevicimal diatonic semitone, 17:16).
Sources
- ^ Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxiv. ISBN 0824747143.
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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