Minor third: Difference between revisions
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The concept started as an interval in the diatonic scale, and is still used this way. The interval region is a later association. You can't just make it the main definition Tag: Undo |
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A '''minor third (m3)''' | 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 minor third if it is reasonably mapped to | 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". | |||
This article covers intervals between 240 and 340{{c}}. The outer range of this might be too extreme to call "minor thirds", but this is done so that one can find what they're looking for easily. | This article covers intervals between 240 and 340{{c}}. The outer range of this might be too extreme to call "minor thirds", but this is done so that one can find what they're looking for easily. | ||
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== In | == In edos == | ||
The following table lists the best tuning of 7/6 and 6/5, as well as other minor thirds if present, in various significant [[edo | The following table lists the best tuning of 7/6 and 6/5, as well as other minor thirds if present, in various significant [[edo]]s. | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | ! Edo | ||
! 7/6 | ! 7/6 | ||
! 6/5 | ! 6/5 | ||
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The two simplest minor third ratios are 7/6 and 6/5. The following notable temperaments are generated by them:{{Todo|complete list|inline=1}} | The two simplest minor third ratios are 7/6 and 6/5. The following notable temperaments are generated by them:{{Todo|complete list|inline=1}} | ||
== In | == In mos scales == | ||
Intervals between 267 and 343{{c}} generate the following [[mos | Intervals between 267 and 343{{c}} generate the following [[mos]] scales: | ||
These tables start from the last monolarge mos generated by the interval range. | These tables start from the last monolarge mos generated by the interval range. | ||
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|- | |- | ||
! Range | ! Range | ||
! colspan="4" | | ! colspan="4" | Mos | ||
|- | |- | ||
| 240–267{{c}} | | 240–267{{c}} | ||