Diesis (scale theory): Difference between revisions

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The '''diesis''' (precisely, the '''mosdiesis''') of a [[MOS scale]] is the interval that is the difference between two generalized enharmonic notes, i.e. the diminished mosstep or inverse diminished mosstep, whichever is positive. In [[soft]] {{nowrap|(L:s < 2:1)}} scales, it is the diminished mosstep. In [[hard]] {{nowrap|(L:s > 2:1)}} scales, it is the inverse diminished mosstep, since the diminished mosstep itself is negative. In basic {{nowrap|(L:s {{=}} 2:1)}} scales, it [[vanish]]es.
#redirect [[Diesis #As a diatonic interval category]]
 
The diesis or '''enharmonic diesis''' in the [[diatonic scale]] is the diminished second or inverse diminished second, whichever is positive, such as the interval between C♯ and D♭. If the fifth represents the just interval [[3/2]], the diesis or inverse diesis represents the [[Pythagorean comma]]. In [[meantone]], it approximates a class of [[comma]]s separated by the syntonic comma ([[81/80]]), among which [[128/125]], the augmented comma, is notable for being tuned pure in [[quarter-comma meantone]]. Therefore ''diesis'' traditionally refers to the augmented comma by default. Other dieses according to this definition are
* [[648/625]], the major diesis, tuned pure in [[1/3-comma meantone]].
* [[2048/2025]], the diaschisma, tuned pure in [[1/6-comma meantone]].
* [[32805/32768]], the schisma, tuned pure in 1/12-comma meantone.
 
== See also ==
* [[Diesis]] (disambiguation page)
* [[Chroma]]
 
[[Category:Terms]]
[[Category:MOS scale]]

Latest revision as of 06:45, 10 June 2026