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 | {{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. | |||
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. | |||
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 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 | |||
== In just intonation == | == In just intonation == | ||
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|} | |} | ||
== In | == 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 | 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 | ||
! 10/9 | ! 10/9 | ||
! 9/8 | ! 9/8 | ||
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|} | |} | ||
== In | == 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]]. | ||
These tables start from the last monolarge | 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" | | ! colspan="3" | Mos | ||
|- | |- | ||
| 150–171{{c}} | | 150–171{{c}} | ||