Diatonic major third - Revision history

Inthar: Changed redirect target from Diatonic#Major third to Pythagorean tuning#Major third

2025-12-30T21:19:41Z

Changed redirect target from Diatonic#Major third to Pythagorean tuning#Major third

← Older revision		Revision as of 21:19, 30 December 2025
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	#redirect [[~~Diatonic~~#Major third]]		#redirect [[Pythagorean tuning#Major third]]

Inthar: Redirected page to Diatonic#Major third

2025-12-30T21:07:04Z

Redirected page to Diatonic#Major third

← Older revision		Revision as of 21:07, 30 December 2025
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	~~{{Infobox interval\|81/64\|Name=Diatonic major third}}~~		#redirect [[Diatonic#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.

Vector: Created page with "{{Infobox interval|81/64|Name=Diatonic 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 scal..."

2025-12-27T07:52:36Z

Created page with "{{Infobox interval|81/64|Name=Diatonic 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 scal..."

New page

{{Infobox interval|81/64|Name=Diatonic 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.