Neutral second: Difference between revisions

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{{Infobox interval region|Name=Neutral second|Cents lower=130|Cents lower wide=120|Cents upper=160|Cents upper wide=170|JI intervals=11/10, 12/11, 13/12|MOSes=[[1L 8s]], [[1L 7s]], [[1L 6s]], [[9L 1s]], [[8L 1s]], [[7L 1s]]|Complement=[[Neutral seventh]]|Lower region=[[Semitone (interval region)|Semitone]]|Higher region=[[Major second]]}}A '''neutral second (n2)''' is an interval that spans one step of the [[5L 2s|diatonic]] scale with a quality between major and minor. It exists in [[neutralization|neutralized]] diatonic scales as exactly one half

{{Infobox interval region

| Name = Neutral second

| Cents lower = 130

| Cents lower wide = 120

| Cents upper = 160

| Cents upper wide = 170

| JI intervals = 11/10, 12/11, 13/12

| MOSes = [[1L 8s]], [[1L 7s]], [[1L 6s]], [[9L 1s]], [[8L 1s]], [[7L 1s]]

| Complement = [[Neutral seventh]]

| Lower region = [[Semitone (interval region)|Semitone]]

| Higher region = [[Major second]]

}}

A '''neutral second''' ('''n2''') is an interval that spans one step of the [[5L 2s|diatonic]] scale with a quality between major and minor. It exists in [[neutralization|neutralized]] diatonic scales as exactly one half of a [[minor third]].

~~of a [[minor third]].~~

In [[just intonation]], an interval may be classified as a neutral second if it is reasonably mapped to one step of the diatonic scale and one and a half steps of the chromatic scale.

In [[just intonation]], an interval may be classified as a neutral second if it is reasonably mapped to ~~[[7edo|1\7]] and [[24edo|3\24]] (precisely~~ one step of the diatonic scale and one and a half steps of the chromatic scale).

As a concrete [[interval region]], it is typically near 150{{cent}} in size, distinct from the [[Semitone (interval region)|semitone]] of roughly 100{{c}} and the [[major second]] of roughly 200{{c}}. A rough tuning range for the neutral second is 130 to 170{{c}} according to [[Margo Schulter]]'s theory of interval regions. This page will consider intervals between about 120 and 170{{c}}. The outer range of this might be too extreme to call "neutral seconds", but this is done so that one can find what they're looking for easily.

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* The 13-limit '''(tridecimal) neutral/supraminor seconds''' are the ratios of [[14/13]] and [[13/12]], which are about 128{{c}} and 139{{c}}, respectively; 14/13 in particular can also be analyzed as a [[semitone]]. Despite that, it is also here for completeness.

== In ~~MOS~~ scales ==

== In mos scales ==

Intervals between 120 and 171{{c}} generate the following [[mos~~|MOS~~]] scales:

Intervals between 120 and 171{{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.

Scales with more than 12 notes are not included.

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|-

! Range

! colspan="2" | ~~MOS~~

! colspan="2" | Mos

|-

| 120–133{{c}}

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-{{Infobox interval region|Name=Neutral second|Cents lower=130|Cents lower wide=120|Cents upper=160|Cents upper wide=170|JI intervals=11/10, 12/11, 13/12|MOSes=[[1L 8s]], [[1L 7s]], [[1L 6s]], [[9L 1s]], [[8L 1s]], [[7L 1s]]|Complement=[[Neutral seventh]]|Lower region=[[Semitone (interval region)|Semitone]]|Higher region=[[Major&nbsp;second]]}}A '''neutral second (n2)''' is an interval that spans one step of the [[5L 2s|diatonic]] scale with a quality between major and minor. It exists in [[neutralization|neutralized]] diatonic scales as exactly one half
+{{Infobox interval region
+| Name = Neutral second
+| Cents lower = 130
+| Cents lower wide = 120
+| Cents upper = 160
+| Cents upper wide = 170
+| JI intervals = 11/10, 12/11, 13/12
+| MOSes = [[1L 8s]], [[1L 7s]], [[1L 6s]], [[9L 1s]], [[8L 1s]], [[7L 1s]]
+| Complement = [[Neutral seventh]]
+| Lower region = [[Semitone (interval region)|Semitone]]
+| Higher region = [[Major&nbsp;second]]
+}}
+A '''neutral second''' ('''n2''') is an interval that spans one step of the [[5L 2s|diatonic]] scale with a quality between major and minor. It exists in [[neutralization|neutralized]] diatonic scales as exactly one half of a [[minor third]].
-of a [[minor third]].
+In [[just intonation]], an interval may be classified as a neutral second if it is reasonably mapped to one step of the diatonic scale and one and a half steps of the chromatic scale.
-In [[just intonation]], an interval may be classified as a neutral second if it is reasonably mapped to [[7edo|1\7]] and [[24edo|3\24]] (precisely one step of the diatonic scale and one and a half steps of the chromatic scale).
 As a concrete [[interval region]], it is typically near 150{{cent}} in size, distinct from the [[Semitone (interval region)|semitone]] of roughly 100{{c}} and the [[major second]] of roughly 200{{c}}. A rough tuning range for the neutral second is 130 to 170{{c}} according to [[Margo Schulter]]'s theory of interval regions. This page will consider intervals between about 120 and 170{{c}}. The outer range of this might be too extreme to call "neutral seconds", but this is done so that one can find what they're looking for easily.
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 * The 13-limit '''(tridecimal) neutral/supraminor seconds''' are the ratios of [[14/13]] and [[13/12]], which are about 128{{c}} and 139{{c}}, respectively; 14/13 in particular can also be analyzed as a [[semitone]]. Despite that, it is also here for completeness.
-== In MOS scales ==
+== In mos scales ==
-Intervals between 120 and 171{{c}} generate the following [[mos|MOS]] scales:
+Intervals between 120 and 171{{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.
 Scales with more than 12 notes are not included.
@@ Line 27: / Line 37: @@
 |-
 ! Range
-! colspan="2" | MOS
+! colspan="2" | Mos
 |-
 | 120–133{{c}}