Minor third: Difference between revisions

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{{Infobox interval region|Name=Minor third|Cents lower=260|Cents lower wide=240|Cents upper=330|Cents upper wide=340|JI intervals=6/5, 7/6|MOSes=[[5L 4s]], [[4L 5s]], [[4L 3s]]|Complement=[[Major sixth]]|Lower region=[[Major second]]|Higher region=[[Neutral third]]}}A '''minor third (m3)''', as a concrete [[interval region]], 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
{{Infobox interval region
| Name = Minor third
| Cents lower = 260
| Cents lower wide = 240
| Cents upper = 330
| Cents upper wide = 340
| JI intervals = 6/5, 7/6
| MOSes = [[5L 4s]], [[4L 5s]], [[4L 3s]]
| Complement = [[Major sixth]]
| Lower region = [[Major second]]
| Higher region = [[Neutral third]]
}}
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]]).


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".
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 four steps of the chromatic scale.  


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 four steps of the chromatic scale.
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".
 
In the [[5L 2s|diatonic]] scale, a minor third spans two scale steps 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]]).


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 EDOs ==
== 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|EDO]]s.
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
! 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 MOS scales ==
== In mos scales ==
Intervals between 267 and 343{{c}} generate the following [[mos|MOS]] scales:
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" | MOS
! colspan="4" | Mos
|-
|-
| 240–267{{c}}
| 240–267{{c}}