Diatonic major third: Difference between revisions

Latest revision as of 21:19, 30 December 2025

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-{{Infobox interval|81/64|Name=Diatonic major third}}
+#redirect [[Pythagorean tuning#Major third]]
-The '''diatonic major third (M3)''', represented by the frequency ratio '''81/64''', is the larger of the two thirds (2-step intervals) in the MOS form of the diatonic scale. It is generated by stacking 4 fifths octave-reduced. In [[Pythagorean tuning]] (and thus purely-tuned [[just intonation]]), it is approximately {{Cents from ratio|81/64|ratio=81/64}} cents in size, but as an interval in the abstract diatonic scale it may range from 343 to 480 cents, depending on the tuning.
-It can be constructed by stacking two [[Diatonic major second|diatonic major seconds]], and as such may be called the '''ditone'''.
-As a harmonic interval, the diatonic major third may be considered either a consonance or a dissonance depending on its tuning. Important tuning targets for the diatonic major third are 5/4 ([[Meantone]] temperament), 14/11 (Pentacircle temperament), 9/7 ([[Archy|Archytas]] temperament) and 13/10 (Oceanfront temperament).
-== Scale info ==
-The diatonic scale contains three major thirds. In the Ionian mode, major thirds are found on the first, fourth, and fifth degrees of the scale; the other four degrees have minor thirds. This roughly equal distribution leads to diatonic tonality being largely based on the distinction between major and minor thirds and triads.