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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:
{{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}}
* [[Diatonic semitone]]s, minor seconds (m2), or limmas,
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.
* [[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}}.  
The intervals covered in this article range from 50{{c}} to 140{{c}}.  
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=== By delta ===
=== By delta ===
This table lists just semitones by [[Delta-N|delta]]:
This table lists just semitones by [[Delta-N|delta]]; simple semitone ratios tend to be [[Superparticular ratio|superparticular]].
{| class="wikitable"
{| class="wikitable"
|-
|-
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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"
{| class="wikitable"
|-
|-
! Edo
! EDO
! 16/15
! 16/15
! 25/24
! 25/24
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| 117{{c}}
| 117{{c}}
| 59{{c}}
| 59{{c}}
| 88{{c}} ≈ 256/243
| {{nowrap|88{{c}} ≈ 256/243}}
|-
|-
| 53
| 53
| 113{{c}}
| 113{{c}}
| 68{{c}}
| 68{{c}}
| 91{{c}} ≈ 256/243
| {{nowrap|91{{c}} ≈ 256/243}}
|}
|}


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When 16/15 is tempered out, it leads to [[father]] temperament.
When 16/15 is tempered out, it leads to [[father]] temperament.
== In moment-of-symmetry 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
|-
| 100–109{{c}}
| [[1L 10s]]
| [[11L 1s]]
|-
| 109–120{{c}}
| [[1L 9s]]
| [[10L 1s]]
|-
| 120–133{{c}}
| [[1L 8s]]
| [[9L 1s]]
|}


== See also ==
== See also ==
Retrieved from "https://en.xen.wiki/w/Semitone_(interval_region)"