Neutral second: Difference between revisions

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A '''neutral second (n2)'''~~, as a concrete [[~~interval ~~region]], 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~~.

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]].

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

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).

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~~.

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.

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.

== In just intonation ==

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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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-A '''neutral second (n2)''', as a concrete [[interval region]], 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.
+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]].
-In the [[5L 2s|diatonic]] scale, a neutral second is an interval that spans one step with a quality between major and minor. It exists in [[neutralization|neutralized]] diatonic scales as exactly one half of a [[minor third]].
+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).
-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.
+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.
-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.
 == In just intonation ==
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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 25: @@
 |-
 ! Range
-! colspan="2" | MOS
+! colspan="2" | Mos
 |-
 | 120–133{{c}}