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ditone
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ditone
ditone Mus. (ˈdaɪtəʊn) [ad. Gr. δίτον-ον the ancient major third, neuter of δίτονος, f. δι-, di-2 + τόνος tone.] An interval containing two whole tones; a major third; esp. the Pythagorean major third in ancient Greek music, consisting of two major tones (ratio 81:64).1609 Douland Ornith. Microl. 18...
Oxford English Dictionary
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Pyknon
Ptolemy reports in his Harmonics (2. 14) that two other theorists, Archytas and Didymus, replaced the ditone with the smaller, just major third with the A ditone may precede or follow [a pycnon] in ascent or descent. A tone may follow [a pycnon] only in descent".
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trihemitone
trihemitone Mus. ? Obs. (traɪˈhɛmɪtəʊn) [ad. Gr. τριηµιτόνιον, f. τρι- tri- + ἡµιτόνιον hemitone.] An interval of three semitones, or a tone and a semitone; a minor third; esp. that used in the ancient Greek (Pythagorean) scale.1694 W. Holder Harmony (1731) 61, I would..call the greater Third (as th...
Oxford English Dictionary
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Octave species
intervals in each sequence: the diatonic, chromatic, and enharmonic genera, whose largest intervals are, respectively, a whole tone, a minor third, and a ditone
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Major limma
In music, a major limma is an interval with the ratio of 135:128, which is the difference between two major tones (a ditone) and a minor third.
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demi-distance
demi-distance -ditone, -farthing, -galonier, -gardebras: see demi- 5, 9, 7, 3.
Oxford English Dictionary
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Johannes Cotto
After chapters on 'litterae' (letter notation), monochord, nine 'consonant' intervals (unison, semitone, whole tone, ditone, semiditone, diatessaron, diapente
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hypodiapason
hypodiapason -diapente, -diatessaron, -ditone, -dorian. Mus.: See hypo- I. 3.
Oxford English Dictionary
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Pythagorean interval
Two tones make a ditone, a dissonantly wide major third, ratio 81/64. The ditone differs from the just major third (5/4) by the syntonic comma (81/80).
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hyperdiapason
hyperdiapason, -diapente, -diatessaron, -ditone Mus.: see hyper- 2.
Oxford English Dictionary
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Major third
The older concept of a ditone (two 9:8 major seconds) made a dissonantly wide major third with the ratio 81:64 (about 1.2656) or 408 cents ().
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diesis
‖ diesis (ˈdaɪɪsɪs) Pl. dieses (-iːz). [a. L. diesis, Gr. δίεσις a quarter-tone, lit. a sending through or apart, f. δι{giuml}έναι to send through, f. διά through + ἱέναι to send.] 1. Mus. a. In ancient Greek music, a name given to several different intervals smaller than a tone; esp. the Pythagorea...
Oxford English Dictionary
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Pythagorean comma
A ditone (or major third) is an interval formed by two major tones. In Pythagorean tuning, a major tone has a size of about 203.9 cents (frequency ratio 9:8), thus a Pythagorean ditone is about 407.8 cents.
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Comma pump
Examples
The most common comma pump is by the syntonic comma (81:80), arising from the difference between a ditone (two 9:8 intervals, combining to 81
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Major second
Two major tones equal a ditone.
Epogdoon
In Pythagorean music theory, the epogdoon () is the interval with the ratio 9 to 8.
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