Minor third (diatonic interval category): 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''') 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 major third if it is reasonably mapped to 2\7 and [[24edo|6\24]] | In [[just intonation]], an interval may be classified as a major 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]]. | ||
The minor third can be stacked with a [[major third (diatonic interval category)|major third]] to form a perfect fifth, and as such is often involved in chord structures in diatonic harmony. | The minor third can be stacked with a [[major third (diatonic interval category)|major third]] to form a perfect fifth, and as such is often involved in chord structures in diatonic harmony. | ||
Revision as of 12:38, 17 April 2025
| MOS | 5L 2s |
| Other names | Minor 2-diastep |
| Generator span | -3 generators |
| Tuning range | 240–343 ¢ |
| Basic tuning | 300 ¢ |
| Function on root | Mediant |
| Interval regions | Semifourth, neutral third, minor third |
| Associated just intervals | 6/5, 32/27 |
| Octave complement | Major sixth |
A minor third (m3) is an interval that spans two scale steps in the diatonic scale with the minor (narrower) quality. It is generated by stacking 3 fourths octave reduced, and depending on the specific tuning, it ranges from 240 to 343 ¢ (1\5 to 2\7).
In just intonation, an interval may be classified as a major 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 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- and 13-limit.
The minor third can be stacked with a major third to form a perfect fifth, and as such is often involved in chord structures in diatonic harmony.
In TAMNAMS, this interval is called the minor 2-diastep.
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Todo: WIP |
See also
- Minor third (disambiguation page)