Major second: Difference between revisions

This page is about the interval region, primarily. Feel free to move it to "Major second (interval region)" if you see fit.
Compromise reached: restore the old structure but -specific edosteps
Tag: Undo
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{{Infobox interval region|Name=Major second, whole tone|Cents lower=180|Cents lower wide=160|Cents upper=240|Cents upper wide=260|JI intervals=8/7, 9/8, 10/9|MOSes=1L 6s, 7L 1s, 6L 1s, 1L 5s, 5L 1s, 5L 4s|Complement=[[Minor seventh]]|Lower region=[[Neutral second]]|Higher region=[[Minor third]]}}A '''major second (M2)''', as a concrete [[interval region]], is typically near 200{{c}} in size, distinct from the [[Semitone (interval region)|semitone]] of roughly 100 ¢ and the [[neutral second]] of roughly 150{{c}}. A rough
{{Infobox interval region
| Name = Major second, whole tone
| Cents lower = 180
| Cents lower wide = 160
| Cents upper = 240
| Cents upper wide = 260
| JI intervals = 8/7, 9/8, 10/9
| MOSes = 1L 6s, 7L 1s, 6L 1s, 1L 5s, 5L 1s, 5L 4s
| Complement = [[Minor seventh]]
| Lower region = [[Neutral second]]
| Higher region = [[Minor third]]
}}
A '''major second''' ('''M2''') is an interval that spans one scale step in the [[5L 2s|diatonic]] scale with the major (wider) quality. It is generated by stacking 2 fifths [[octave reduction|octave reduced]], and depending on the specific tuning, it ranges from 171 to 240{{cent}} ([[7edo|1\7]] to [[5edo|1\5]]). It can be considered the large step of the diatonic scale.


tuning range for the major second is about 180 to 240{{c}} according to [[Margo Schulter]]'s theory of interval regions.
In [[just intonation]], an interval may be classified as a major second if it is reasonably mapped to one step of the diatonic scale and two steps of the chromatic scale.  


In the [[5L 2s|diatonic]] scale, a major second is an interval that spans one scale step with the major (wider) quality. It is generated by stacking 2 fifths [[octave reduction|octave reduced]], and depending on the specific tuning, it ranges from 171 to 240{{cent}} ([[7edo|1\7]] to [[5edo|1\5]]). It can be considered the large step of the diatonic scale.
As a concrete [[interval region]], it is typically near 200{{c}} in size, distinct from the [[Semitone (interval region)|semitone]] of roughly 100 ¢ and the [[neutral second]] of roughly 150{{c}}. A rough tuning range for the major second is about 180 to 240{{c}} according to [[Margo Schulter]]'s theory of interval regions.


In [[just intonation]], an interval may be classified as a major second if it is reasonably mapped to 1\7 and [[24edo|4\24]] (precisely one step of the diatonic scale and two steps of the chromatic scale). The use of 24edo's 4\24 as the mapping criteria here rather than [[12edo]]'s 2\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]].
This article covers intervals between 160 and 260{{c}}. The outer range of this might be too extreme to call "major seconds", but this is done so that one can find what they are looking for easily.
 
 
This article covers intervals between 160 and 260{{c}}. The outer range of this might be too extreme to call "major seconds", but this is done so that one can find what they're looking for easily.


== In just intonation ==
== In just intonation ==
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|}
|}


== In EDOs ==
== In edos ==
The following table lists the best tuning of 10/9, 9/8, and 8/7, as well as other major seconds if present, in various significant [[edo|EDO]]s.
The following table lists the best tuning of 10/9, 9/8, and 8/7, as well as other major seconds if present, in various significant [[edo]]s.


{| class="wikitable"
{| class="wikitable"
|-
|-
! EDO
! Edo
! 10/9
! 10/9
! 9/8
! 9/8
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|}
|}


== In MOS scales ==
== In mos scales ==
Being a small interval, major seconds generate a number of monosmall and monolarge [[mos|MOS]] scales.
Being a small interval, major seconds generate a number of monosmall and monolarge [[mos]].


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.


Scales with more than 12 notes are not included.
Scales with more than 12 notes are not included.
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|-
|-
! Range
! Range
! colspan="3" | MOS
! colspan="3" | Mos
|-
|-
| 150–171{{c}}
| 150–171{{c}}