Minor seventh: Difference between revisions

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A '''minor seventh (m7)''' is an interval that spans six scale steps in the [[5L 2s|diatonic]] scale with the minor (narrower) quality. It is generated by stacking 2 fourths [[octave reduction|octave reduced]], and depending on the specific tuning, it ranges from 960 to 1029{{cent}} ([[5edo|4\5]] to [[7edo|6\7]]).

In [[just intonation]], an interval may be classified as a minor seventh if it is reasonably mapped to 6\7 and [[24edo|20\24]] (precisely six steps of the diatonic scale and ten steps of the chromatic scale). The use of 24edo's 20\24 as the mapping criteria here rather than [[12edo]]'s 10\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]]~~, although it removes [[~~7/4~~]] from~~ the ~~set of minor sevenths~~, ~~at least going by patent vals~~.

In [[just intonation]], an interval may be classified as a minor seventh if it is reasonably mapped to 6\7 and [[24edo|20\24]] (precisely six steps of the diatonic scale and ten steps of the chromatic scale). The use of 24edo's 20\24 as the mapping criteria here rather than [[12edo]]'s 10\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]]. While the 24edo patent val does not map 7/4 to 20\24, the 24d val does, and that can still be considered a reasonable mapping.

As a concrete [[interval region]], it is typically near 1000{{c}} in size, distinct from the [[major seventh]] of roughly 1100{{c}} and the [[neutral seventh]] of roughly 1050{{c}}. A rough tuning range for the minor seventh is about 960 to 1025{{c}} according to [[Margo Schulter]]'s theory of interval regions.

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 A '''minor seventh (m7)''' is an interval that spans six scale steps in the [[5L 2s|diatonic]] scale with the minor (narrower) quality. It is generated by stacking 2 fourths [[octave reduction|octave reduced]], and depending on the specific tuning, it ranges from 960 to 1029{{cent}} ([[5edo|4\5]] to [[7edo|6\7]]).
-In [[just intonation]], an interval may be classified as a minor seventh if it is reasonably mapped to 6\7 and [[24edo|20\24]] (precisely six steps of the diatonic scale and ten steps of the chromatic scale). The use of 24edo's 20\24 as the mapping criteria here rather than [[12edo]]'s 10\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]], although it removes [[7/4]] from the set of minor sevenths, at least going by patent vals.
+In [[just intonation]], an interval may be classified as a minor seventh if it is reasonably mapped to 6\7 and [[24edo|20\24]] (precisely six steps of the diatonic scale and ten steps of the chromatic scale). The use of 24edo's 20\24 as the mapping criteria here rather than [[12edo]]'s 10\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]]. While the 24edo patent val does not map 7/4 to 20\24, the 24d val does, and that can still be considered a reasonable mapping.
 As a concrete [[interval region]], it is typically near 1000{{c}} in size, distinct from the [[major seventh]] of roughly 1100{{c}} and the [[neutral seventh]] of roughly 1050{{c}}. A rough tuning range for the minor seventh is about 960 to 1025{{c}} according to [[Margo Schulter]]'s theory of interval regions.