Minor third: Difference between revisions

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A '''minor third (m3)''' is ~~an interval that spans two scale steps~~ in the [[~~5L 2s|diatonic~~]] ~~scale with~~ the ~~minor (narrower) quality. It is generated by stacking 3 fourths~~ [[~~octave reduction|octave reduced~~]]~~, and depending on~~ the ~~specific tuning, it ranges from 240~~ to ~~343~~{{~~cent~~}} ([[~~5edo|1\5~~]] to ~~[[5edo|2\7]]~~).

A '''minor third (m3)''', as a concrete [[interval region]], is typically near 300{{c}} in size, distinct from the [[major third]] of roughly 400{{c}} and the [[neutral third]] of roughly 350{{c}}. A rough tuning range for the minor third is about 260 to 330{{c}} according to [[Margo Schulter]]'s theory of interval regions. ''Minor third'' in this sense refers both to the ~240–340{{c}} range as a whole, and to a specific subdivision within it (~285–340{{c}}) as opposed to subminor thirds; minor thirds flat of this are often called "subminor thirds".

In [[just intonation]], an interval may be classified as a minor third if it is reasonably mapped to ~~2\7 and [[24edo|6\24]] (precisely~~ two steps of the diatonic scale and four steps of the chromatic scale~~). The use of 24edo's 6\24 as the mapping criteria here rather than [[12edo]]'s 3\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]]~~.

In [[just intonation]], an interval may be classified as a minor third if it is reasonably mapped to two steps of the diatonic scale and four steps of the chromatic scale.

~~As a concrete~~ [[~~interval region~~]], it is ~~typically near 300{{c}} in size, distinct from the~~ [[~~major third~~]] ~~of roughly 400~~{{c}} ~~and the~~ [[~~neutral third~~]] ~~of roughly 350{{c}}. A rough tuning range for the minor third is about 260 to 330{{c}} according~~ to [[~~Margo Schulter~~]]~~'s theory of interval regions. ''Minor third'' in this sense refers both to the ~240–340{{c}} range as a whole, and to a specific subdivision within it (~285–340{{c}}~~) ~~as opposed to subminor thirds; minor thirds flat of this are often called "subminor thirds"~~.

In the [[5L 2s|diatonic]] scale, a minor third spans two scale steps with the minor (narrower) quality. It is generated by stacking 3 fourths [[octave reduction|octave reduced]], and depending on the specific tuning, it ranges from 240 to 343{{cent}} ([[5edo|1\5]] to [[5edo|2\7]]).

This article covers intervals between 240 and 340{{c}}. The outer range of this might be too extreme to call "minor thirds", but this is done so that one can find what they're looking for easily.

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-A '''minor third (m3)''' is an interval that spans two scale steps in the [[5L 2s|diatonic]] scale with the minor (narrower) quality. It is generated by stacking 3 fourths [[octave reduction|octave reduced]], and depending on the specific tuning, it ranges from 240 to 343{{cent}} ([[5edo|1\5]] to [[5edo|2\7]]).
+A '''minor third (m3)''', as a concrete [[interval region]], is typically near 300{{c}} in size, distinct from the [[major third]] of roughly 400{{c}} and the [[neutral third]] of roughly 350{{c}}. A rough tuning range for the minor third is about 260 to 330{{c}} according to [[Margo Schulter]]'s theory of interval regions. ''Minor third'' in this sense refers both to the ~240–340{{c}} range as a whole, and to a specific subdivision within it (~285–340{{c}}) as opposed to subminor thirds; minor thirds flat of this are often called "subminor thirds".
-In [[just intonation]], an interval may be classified as a minor third if it is reasonably mapped to 2\7 and [[24edo|6\24]] (precisely two steps of the diatonic scale and four steps of the chromatic scale). The use of 24edo's 6\24 as the mapping criteria here rather than [[12edo]]'s 3\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]].
+In [[just intonation]], an interval may be classified as a minor third if it is reasonably mapped to  two steps of the diatonic scale and four steps of the chromatic scale.
-As a concrete [[interval region]], it is typically near 300{{c}} in size, distinct from the [[major third]] of roughly 400{{c}} and the [[neutral third]] of roughly 350{{c}}. A rough tuning range for the minor third is about 260 to 330{{c}} according to [[Margo Schulter]]'s theory of interval regions. ''Minor third'' in this sense refers both to the ~240–340{{c}} range as a whole, and to a specific subdivision within it (~285–340{{c}}) as opposed to subminor thirds; minor thirds flat of this are often called "subminor thirds".
+In the [[5L 2s|diatonic]] scale, a minor third spans two scale steps with the minor (narrower) quality. It is generated by stacking 3 fourths [[octave reduction|octave reduced]], and depending on the specific tuning, it ranges from 240 to 343{{cent}} ([[5edo|1\5]] to [[5edo|2\7]]).
 This article covers intervals between 240 and 340{{c}}. The outer range of this might be too extreme to call "minor thirds", but this is done so that one can find what they're looking for easily.