Semitone (interval region): Difference between revisions

Move
Rework the intro to address the abstract approach
Line 1: Line 1:
{{Wikipedia}}
A '''semitone''' is an interval that spans exactly 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:
{{About|the [[interval region]]|the interval size unit of exactly 100 cents|Interval size measure#Gross}}
* [[Diatonic semitone]]s, minor seconds (m2) or limmas,
A '''semitone''' is an interval that is near 100 [[cent]]s in size, distinct from [[commas and dieses]] (less than 60 cents), and from [[major second]]s (about 200 cents). A rough tuning range for the semitone is about 50 cents to 140 cents, though this is extremely wide; some might prefer to restrict it to around 70 cents to 130 cents.  
* [[Chromatic semitone]]s, augmented unisons (A1) or chromas.


Semitones tend to fall into one of two functional categories, based on the system being used:
As a concrete [[interval region]], it is typically near 100 [[cent]]s in size, distinct from [[commas and dieses]] (less than 60 cents), and from [[neutral second]]s (about 150 cents). A rough tuning range for the semitone is about 60 cents to 125 cents 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.
 
This page covers both categories of intervals, as the distinction between them is largely a matter of the [[diatonic]] MOS, and is also not the subject of this article.  


== In just intonation ==
== In just intonation ==
Line 107: Line 103:
|}
|}


== 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]]s.
{| class="wikitable"
{| class="wikitable"
|+
|+
!EDO
!Edo
!16/15
!16/15
!25/24
!25/24