Diatonic semitone: Difference between revisions
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{{Wikipedia|Semitone #Minor second}} | {{Infobox|Title=Diatonic minor second|Header 1=MOS|Data 1=[[5L 2s]]|Header 2=Other names|Data 2=Minor 1-diastep, diatonic semitone, diatone|Header 3=Generator span|Data 3=-5 generators|Header 4=Tuning range|Data 4=0-171{{c}}|Header 5=Basic tuning|Data 5=100{{c}}|Header 6=Function on root|Data 6=Leading tone, supertonic|Header 7=Interval regions|Data 7=[[Comma and diesis]], [[Semitone (interval region)|Semitone]], [[Neutral second]]|Header 8=Associated just intervals|Data 8=[[16/15]], [[256/243]]|Header 9=Octave complement|Data 9=[[Major seventh (interval region)|Major seventh]]}}{{Wikipedia|Semitone #Minor second}} | ||
A '''diatonic semitone''', '''minor second''' or '''limma''' is the small step of a [[diatonic]] scale. | A '''diatonic semitone''', '''minor second''', or '''limma''' is the small step of a [[diatonic]] scale. | ||
In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo|1\7]] and [[24edo|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). 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]]. | In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo|1\7]] and [[24edo|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). 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]]. | ||
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* [[16/15]], the classic diatonic semitone (5-limit) | * [[16/15]], the classic diatonic semitone (5-limit) | ||
* [[128/121]], the Axirabian diatonic semitone (11-limit; specifically belonging to the 2.3.11 subgroup) | * [[128/121]], the Axirabian diatonic semitone (11-limit; specifically belonging to the 2.3.11 subgroup) | ||
== Notation == | |||
The number of steps a limma is mapped to in an EDO is referred to as its [[limmanosity]], or penta-sharpness. | |||
== Etymology == | == Etymology == | ||
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== References == | == References == | ||
<references /> | |||
[[Category:Diatonic]] | [[Category:Diatonic]] | ||
[[Category:Semitone]] | [[Category:Semitone]] | ||