Semitone (interval region): Difference between revisions

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{{Infobox interval region|Name=Semitone, minor second, augmented unison|Cents lower=75|Cents lower wide=60|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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When 16/15 is tempered out, it leads to [[father]] temperament.

== In moment-of-symmetry scales ==

Intervals between 100 and 133 ~~cents~~ generate the following [[MOS]] scales:

Intervals between 100 and 133{{c}} generate the following [[MOS]] scales:

These tables start from the last monolarge [[MOS]] generated by the interval range.

MOSes with more than 12 notes are not included.

{| class="wikitable"

~~!Range~~

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

|-

|~~100~~-~~109c~~

! Range

|1L 10s

! colspan="2" | MOS

|11L 1s

|-

| 100–109{{c}}

| [[1L 10s]]

| [[11L 1s]]

|-

|~~109-120c~~

| 109–120{{c}}

|1L 9s

| [[1L 9s]]

|10L 1s

| [[10L 1s]]

|-

|~~120-133c~~

| 120–133{{c}}

|1L 8s

| [[1L 8s]]

|9L 1s

| [[9L 1s]]

|}

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-{{Wikipedia|Semitone}}
+{{Infobox interval region|Name=Semitone, minor second, augmented unison|Cents lower=75|Cents lower wide=60|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
@@ Line 205: / Line 207: @@
 When 16/15 is tempered out, it leads to [[father]] temperament.
 == In moment-of-symmetry scales ==
-Intervals between 100 and 133 cents generate the following [[MOS]] scales:
+Intervals between 100 and 133{{c}} generate the following [[MOS]] scales:
 These tables start from the last monolarge [[MOS]] generated by the interval range.
 MOSes with more than 12 notes are not included.
 {| class="wikitable"
-!Range
-! colspan="2" |MOS
 |-
-|100-109c
+! Range
-|1L 10s
+! colspan="2" | MOS
-|11L 1s
+|-
+| 100–109{{c}}
+| [[1L&nbsp;10s]]
+| [[11L&nbsp;1s]]
 |-
-|109-120c
+| 109–120{{c}}
-|1L 9s
+| [[1L&nbsp;9s]]
-|10L 1s
+| [[10L&nbsp;1s]]
 |-
-|120-133c
+| 120–133{{c}}
-|1L 8s
+| [[1L&nbsp;8s]]
-|9L 1s
+| [[9L&nbsp;1s]]
 |}