Semitone (interval region): Difference between revisions

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{{Infobox interval region|Name=Semitone, minor second, augmented unison|Cents lower=60|Cents lower wide=75|Cents upper=125|Cents upper wide=140|JI intervals=16/15, 25/24|MOSes=1L 8s, 9L 1s, 1L 9s|Complement=[[Major seventh]]|Lower region=[[Comma and diesis]]|Higher region=[[Neutral second]]}}{{Wikipedia|Semitone}}

A '''semitone''' is an interval that makes up part of a [[tone]], often as one step of a 12-tone chromatic scale~~. In [[just intonation]]~~, an interval ~~may be classified~~ as a semitone ~~if it is reasonably mapped to [[24edo|2\24]]. The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals~~ in ~~the~~ [[~~11-limit|11-]] and [[13-limit~~]]~~. Semitones come in two functional categories based on their number of steps in the [[5L 2s|diatonic]] scale:~~

A '''semitone''', as a concrete [[interval region]], is typically near 100{{cent}} in size, distinct from [[commas and dieses]] (less than 60{{c}}), and from [[neutral second]]s (about 150{{c}}). A rough tuning range for the semitone is about 60{{c}} to 125{{c}} according to [[Margo Schulter]]'s theory of interval regions.

* [[Diatonic semitone]]s, minor seconds (m2), or limmas,

* [[Chromatic semitone]]s, augmented unisons (A1), or chromas.

Functionally, a semitone is an interval that makes up part of a [[tone]], often as one step of a 12-tone chromatic scale, which is a possible criterion for the classification of an interval as a semitone in [[just intonation]].

~~As a concrete~~ [[~~interval region~~]]~~, it is typically near 100{{cent}} in size, distinct from~~ [[~~commas and dieses~~]] (~~less than 60{{c}}~~), ~~and from~~ [[~~neutral second~~]]s (~~about 150{{c}}~~)~~. A rough tuning range for the semitone is about 60{{c}} to 125{{c}} according to [[Margo Schulter]]'s theory of interval regions~~.

Semitones come in two functional categories based on their number of steps in the [[5L 2s|diatonic]] scale:

*[[Diatonic semitone]]s, minor seconds (m2), or limmas,

*[[Chromatic semitone]]s, augmented unisons (A1), or chromas.

The intervals covered in this article range from 50{{c}} to 140{{c}}.

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|}

== In ~~edos~~ ==

== In EDOs ==

The following table lists the best tuning of 16/15, 25/24, and other semitones if present, in various significant [[edo]]s.

The following table lists the best tuning of 16/15, 25/24, and other semitones if present, in various significant [[edo|EDO]]s.

{| class="wikitable"

|-

! ~~Edo~~

! EDO

! 16/15

! 25/24

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-{{Wikipedia|Semitone}}
+{{Infobox interval region|Name=Semitone, minor second, augmented unison|Cents lower=60|Cents lower wide=75|Cents upper=125|Cents upper wide=140|JI intervals=16/15, 25/24|MOSes=1L 8s, 9L 1s, 1L 9s|Complement=[[Major seventh]]|Lower region=[[Comma&nbsp;and&nbsp;diesis]]|Higher region=[[Neutral&nbsp;second]]}}{{Wikipedia|Semitone}}
-A '''semitone''' is an interval that makes up part of a [[tone]], often as one step of a 12-tone chromatic scale. In [[just intonation]], an interval may be classified as a semitone if it is reasonably mapped to [[24edo|2\24]]. The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]]. Semitones come in two functional categories based on their number of steps in the [[5L 2s|diatonic]] scale:
+A '''semitone''', as a concrete [[interval region]], is typically near 100{{cent}} in size, distinct from [[commas and dieses]] (less than 60{{c}}), and from [[neutral second]]s (about 150{{c}}). A rough tuning range for the semitone is about 60{{c}} to 125{{c}} according to [[Margo Schulter]]'s theory of interval regions.
-* [[Diatonic semitone]]s, minor seconds (m2), or limmas,
-* [[Chromatic semitone]]s, augmented unisons (A1), or chromas.
+Functionally, a semitone is an interval that makes up part of a [[tone]], often as one step of a 12-tone chromatic scale, which is a possible criterion for the classification of an interval as a semitone in [[just intonation]].
-As a concrete [[interval region]], it is typically near 100{{cent}} in size, distinct from [[commas and dieses]] (less than 60{{c}}), and from [[neutral second]]s (about 150{{c}}). A rough tuning range for the semitone is about 60{{c}} to 125{{c}} according to [[Margo Schulter]]'s theory of interval regions.
+Semitones come in two functional categories based on their number of steps in the [[5L 2s|diatonic]] scale:
+*[[Diatonic semitone]]s, minor seconds (m2), or limmas,
+*[[Chromatic semitone]]s, augmented unisons (A1), or chromas.
 The intervals covered in this article range from 50{{c}} to 140{{c}}.
@@ Line 106: / Line 108: @@
 |}
-== In edos ==
+== In EDOs ==
-The following table lists the best tuning of 16/15, 25/24, and other semitones if present, in various significant [[edo]]s.
+The following table lists the best tuning of 16/15, 25/24, and other semitones if present, in various significant [[edo|EDO]]s.
 {| class="wikitable"
 |-
-! Edo
+! EDO
 ! 16/15
 ! 25/24