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Ditone
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==Just intonation== In [[Didymus the Musician|Didymus]]'s diatonic and [[Ptolemy]]'s [[Ptolemy's intense diatonic scale|syntonic]] tunings, the ditone is a just major third with a ratio of 5:4, made up of two unequal tonesโa [[Major second#Major and minor tones|major and a minor tone]] of 9:8 and 10:9, respectively. The difference between the two systems is that Didymus places the minor tone below the major, whereas Ptolemy does the opposite.<ref>James Murray Barbour, ''Tuning and Temperament: A Historical Survey'' (East Lansing: Michigan State College Press, 1951): 21. Paperback reprint (Mineola, NY: Dover Books, 2004) {{ISBN|978-0-486-43406-3}}.</ref>
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