Major third (diatonic interval category): Difference between revisions
Chromatically adjacent interval not as useful as octave complement. -duplicate sentence components. Fix linking |
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| Header 5 = Basic tuning | Data 5 = 400{{c}} | | Header 5 = Basic tuning | Data 5 = 400{{c}} | ||
| Header 6 = Function on root | Data 6 = Mediant | | Header 6 = Function on root | Data 6 = Mediant | ||
| Header 7 | | Header 7 = Interval regions | Data 7 = [[Neutral third]], [[Major third (interval region)|Major third]], [[Perfect fourth]] | ||
| Header 8 = Associated just intervals | Data 8 = [[5/4]], [[81/64]] | |||
| Header | | Header 9 = Octave complement | Data 9 = [[Minor sixth (diatonic interval category)|Minor sixth]] | ||
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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''') 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]]. | ||