Semitone (interval region): Difference between revisions
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== In just intonation == | == In just intonation == | ||
=== By prime limit === | |||
In the low prime limits, up to the 5-limit, in which the West has developed a formal system of diatonic harmony, the distinction between diatonic and chromatic semitones is the clearest, so a pair of 2 semitones will be provided for each. However, higher than the 5-limit, function as diatonic vs. chromatic tends to become less clear, and larger intervals can be seen as belonging to neither category. | In the low prime limits, up to the 5-limit, in which the West has developed a formal system of diatonic harmony, the distinction between diatonic and chromatic semitones is the clearest, so a pair of 2 semitones will be provided for each. However, higher than the 5-limit, function as diatonic vs. chromatic tends to become less clear, and larger intervals can be seen as belonging to neither category. | ||
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** The 17-limit '''large semitone''' is a ratio of 17/16, and is about 104 cents. | ** The 17-limit '''large semitone''' is a ratio of 17/16, and is about 104 cents. | ||
** The 17-limit '''small semitone''' is a ratio of 18/17, and is about 99 cents. | ** The 17-limit '''small semitone''' is a ratio of 18/17, and is about 99 cents. | ||
=== By delta === | |||
This table lists just semitones by [[Delta-N|delta]]: | |||
{| class="wikitable" | |||
|+ | |||
!Delta 1 (Superparticular) | |||
!Cents | |||
|- | |||
|[[13/12]] | |||
|139c | |||
|- | |||
|[[14/13]] | |||
|128c | |||
|- | |||
|[[15/14]] | |||
|119c | |||
|- | |||
|[[16/15]] | |||
|112c | |||
|- | |||
|[[17/16]] | |||
|104c | |||
|- | |||
|[[18/17]] | |||
|99c | |||
|- | |||
|[[19/18]] | |||
|94c | |||
|- | |||
|[[20/19]] | |||
|89c | |||
|- | |||
|[[21/20]] | |||
|85c | |||
|- | |||
|[[22/21]] | |||
|81c | |||
|- | |||
|[[23/22]] | |||
|77c | |||
|- | |||
|[[24/23]] | |||
|74c | |||
|- | |||
|[[25/24]] | |||
|71c | |||
|- | |||
|[[26/25]] | |||
|68c | |||
|- | |||
|[[27/26]] | |||
|65c | |||
|- | |||
|[[28/27]] | |||
|63c | |||
|- | |||
|[[29/28]] | |||
|61c | |||
|- | |||
|[[30/29]] | |||
|59c | |||
|- | |||
|[[31/30]] | |||
|57c | |||
|- | |||
|[[32/31]] | |||
|55c | |||
|- | |||
|[[33/32]] | |||
|53c | |||
|- | |||
|[[34/33]] | |||
|52c | |||
|- | |||
|[[35/34]] | |||
|50c | |||
|} | |||
== In EDOs == | == In EDOs == | ||