Major second: Difference between revisions

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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.

{{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

tuning range for the major second is about 180 to 240{{c}} according to [[Margo Schulter]]'s theory of interval regions.

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.

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]].

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.

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.

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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]]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|EDO]]s.

{| class="wikitable"

|-

! ~~Edo~~

! EDO

! 10/9

! 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]].

Being a small interval, major seconds generate a number of monosmall and monolarge [[mos|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.

Scales with more than 12 notes are not included.

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|-

! Range

! colspan="3" | ~~Mos~~

! colspan="3" | MOS

|-

| 150–171{{c}}

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-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.
+{{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&nbsp;second]]|Higher region=[[Minor&nbsp;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
+tuning range for the major second is about 180 to 240{{c}} according to [[Margo Schulter]]'s theory of interval regions.
+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.
 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]].
-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.
 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.
@@ Line 84: / Line 87: @@
 |}
-== 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]]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|EDO]]s.
 {| class="wikitable"
 |-
-! Edo
+! EDO
 ! 10/9
 ! 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]].
+Being a small interval, major seconds generate a number of monosmall and monolarge [[mos|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.
 Scales with more than 12 notes are not included.
@@ Line 191: / Line 194: @@
 |-
 ! Range
-! colspan="3" | Mos
+! colspan="3" | MOS
 |-
 | 150–171{{c}}