Minor third: Difference between revisions

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A '''minor third (m3)''' in the [[5L 2s|diatonic ~~scale~~]] ~~is an interval~~ that 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]]).

A '''minor third (m3)''' is an interval in the [[5L 2s|diatonic]] scale that 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]]).

In [[just intonation]], an interval may be classified as a minor third if it is reasonably mapped to 2\7 and 6[[24edo|\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 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]].

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".

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-A '''minor third (m3)''' in the [[5L 2s|diatonic scale]] is an interval that 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]]).
+A '''minor third (m3)''' is an interval in the [[5L 2s|diatonic]] scale that 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]]).
-In [[just intonation]], an interval may be classified as a minor third if it is reasonably mapped to 2\7 and 6[[24edo|\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 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]].
 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".