Major third: Difference between revisions

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A '''major third (M3)''' is an interval that spans two scale steps in the [[5L 2s|diatonic]] scale with the major (wider) quality. It is generated by stacking 4 fifths [[octave reduction|octave reduced]], and depending on the specific tuning, it ranges from 343 to 480{{cent}} ([[7edo|2\7]] to [[5edo|2\5]]).

In [[~~just intonation~~]], ~~an interval may be classified as a major third if it~~ is ~~reasonably mapped to 2\7 and~~ [[~~24edo|8\24~~]] ~~(precisely two steps~~ of the ~~diatonic scale and four steps~~ of ~~the chromatic scale)~~. ~~The use of 24edo's 8\24 as~~ the ~~mapping criteria here rather than~~ [[~~12edo~~]]'s ~~4\12 better captures the characteristics~~ of ~~many intervals~~ in the ~~[[11-limit|11-]]~~ and ~~[[13-limit]]~~.

A '''major third (M3),''' as an [[interval region]], is typically near 400{{c}} in size, distinct from the [[minor third]] of roughly 300{{c}} and the [[neutral third]] of roughly 350{{c}}. A rough tuning range for the major third is about 370 to 440{{c}} according to [[Margo Schulter]]'s theory of interval regions. ''Major third'' in this sense refers both to the ~350–450{{c}} range as a whole, and to a specific subdivision within it (~370–415{{c}}) as opposed to supermajor thirds; major thirds sharp of this are often called "supermajor thirds".

As a ~~concrete~~ [[~~interval region~~]], it ~~is typically near 400~~{{c}} ~~in size, distinct from the~~ [[~~minor third~~]] ~~of roughly 300{{c}} and the~~ [[~~neutral third~~]] ~~of roughly 350{{c}}~~. ~~A rough tuning range for the major third is about 370 to 440{{c}} according to~~ [[~~Margo Schulter~~]]~~'s theory of~~ interval ~~regions. ''Major~~ third~~'' in this sense refers both~~ to the ~~~350–450{{c}} range as a whole~~, ~~and to a specific subdivision~~ within ~~it (~370–415{{c}}) as opposed to supermajor thirds;~~ major ~~thirds sharp of this are often called "supermajor thirds"~~.

In the [[5L 2s|diatonic]] scale, a major third is an interval that spans 2 scale steps with the major (wider) quality. It is generated by stacking 4 fifths [[octave reduction|octave reduced]], and depending on the specific tuning, it ranges from 343 to 480{{cent}} ([[7edo|2\7]] to [[5edo|2\5]]).

In [[just intonation]], an interval may be classified as a major third if it can be reasonably mapped to two steps of the diatonic scale and four steps of the chromatic scale, or if it falls within the major third region.

This article covers intervals between 360 and 460{{c}}. The outer range of this might be too extreme to call "major thirds", but this is done so that one can find what they're looking for easily.

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 {{Wikipedia}}
-A '''major third (M3)''' is an interval that spans two scale steps in the [[5L 2s|diatonic]] scale with the major (wider) quality. It is generated by stacking 4 fifths [[octave reduction|octave reduced]], and depending on the specific tuning, it ranges from 343 to 480{{cent}} ([[7edo|2\7]] to [[5edo|2\5]]).
-In [[just intonation]], an interval may be classified as a major third if it is reasonably mapped to 2\7 and [[24edo|8\24]] (precisely two steps of the diatonic scale and four steps of the chromatic scale). The use of 24edo's 8\24 as the mapping criteria here rather than [[12edo]]'s 4\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]].
+A '''major third (M3),''' as an [[interval region]], is typically near 400{{c}} in size, distinct from the [[minor third]] of roughly 300{{c}} and the [[neutral third]] of roughly 350{{c}}. A rough tuning range for the major third is about 370 to 440{{c}} according to [[Margo Schulter]]'s theory of interval regions. ''Major third'' in this sense refers both to the ~350–450{{c}} range as a whole, and to a specific subdivision within it (~370–415{{c}}) as opposed to supermajor thirds; major thirds sharp of this are often called "supermajor thirds".
-As a concrete [[interval region]], it is typically near 400{{c}} in size, distinct from the [[minor third]] of roughly 300{{c}} and the [[neutral third]] of roughly 350{{c}}. A rough tuning range for the major third is about 370 to 440{{c}} according to [[Margo Schulter]]'s theory of interval regions. ''Major third'' in this sense refers both to the ~350–450{{c}} range as a whole, and to a specific subdivision within it (~370–415{{c}}) as opposed to supermajor thirds; major thirds sharp of this are often called "supermajor thirds".
+In the [[5L 2s|diatonic]] scale, a major third is an interval that spans 2 scale steps with the major (wider) quality. It is generated by stacking 4 fifths [[octave reduction|octave reduced]], and depending on the specific tuning, it ranges from 343 to 480{{cent}} ([[7edo|2\7]] to [[5edo|2\5]]).
+In [[just intonation]], an interval may be classified as a major third if it can be reasonably mapped to two steps of the diatonic scale and four steps of the chromatic scale, or if it falls within the major third region.
 This article covers intervals between 360 and 460{{c}}. The outer range of this might be too extreme to call "major thirds", but this is done so that one can find what they're looking for easily.