Minor third: Difference between revisions
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== As a diatonic interval category == | == As a diatonic interval category == | ||
As a diatonic interval category, a minor third 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]]). | {{Infobox|Title=Diatonic minor third|Header 1=MOS|Data 1=[[5L 2s]]|Header 2=Other names|Data 2=Minor 2-diastep|Header 3=Generator span|Data 3=-3 generators|Header 4=Tuning range|Data 4=240–343{{c}}|Header 5=Basic tuning|Data 5=300{{c}}|Header 6=Function on root|Data 6=Mediant|Header 7=Interval regions|Data 7=[[Semifourth]], [[minor third (interval region)|minor third]], [[neutral third (interval region)|neutral third]]|Header 8=Associated just intervals|Data 8=[[6/5]], [[32/27]]|Header 9=Octave complement|Data 9=[[Major sixth (diatonic interval category)|Major sixth]]}}As a diatonic interval category, a minor third 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]]). | ||
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 three steps of the chromatic scale, or formally 2\7 and [[24edo|6\24]]. 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 three steps of the chromatic scale, or formally 2\7 and [[24edo|6\24]]. 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]]. | ||