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 enharmonic notes, i.e. the diminished mosstep or the negative diminished mosstep, whichever is positive. In [[soft]] scales, it is the diminished mosstep. In [[hard]] scales, it is the negative diminished mosstep, since the diminished mosstep itself is negative. In ~~particular~~, ~~the diesis or '''enharmonic diesis''' in the~~ [[~~diatonic~~]] ~~scale is the diminished second or the negative diminished second, whichever is positive. For example, the interval of C#-Db or Db-C#~~.

The '''diesis''' (precisely the '''mosdiesis''') of a [[mos scale]] is the interval that is the difference between two enharmonic notes, i.e. the diminished mosstep or the negative diminished mosstep, whichever is positive. In [[soft]] (L:s < 2:1) scales, it is the diminished mosstep. In [[hard]] (L:s > 2:1) scales, it is the negative diminished mosstep, since the diminished mosstep itself is negative. In basic (L:s = 2:1) scales, it [[vanish]]es.

If the fifth approximates the just interval [[3/2]], then the diesis or the negative diesis approximates the [[Pythagorean comma]]. In [[meantone]], the diesis also approximates [[128/125]], the augmented comma, which traditionally goes by the name of diesis.

In particular, the diesis or '''enharmonic diesis''' in the [[diatonic scale]] is the diminished second or the negative diminished second, whichever is positive. For example, the interval of C#-Db or Db-C#.

If the fifth approximates the just interval [[3/2]], then the diesis or the negative diesis approximates the [[Pythagorean comma]]. In [[meantone]], the diesis also approximates [[128/125]], the augmented comma, which traditionally goes by the name of ''diesis''.

== See also ==

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-The '''diesis''' (precisely the '''mosdiesis''') of a [[mos scale]] is the interval that is the difference between two enharmonic notes, i.e. the diminished mosstep or the negative diminished mosstep, whichever is positive. In [[soft]] scales, it is the diminished mosstep. In [[hard]] scales, it is the negative diminished mosstep, since the diminished mosstep itself is negative. In particular, the diesis or '''enharmonic diesis''' in the [[diatonic]] scale is the diminished second or the negative diminished second, whichever is positive. For example, the interval of C#-Db or Db-C#.
+The '''diesis''' (precisely the '''mosdiesis''') of a [[mos scale]] is the interval that is the difference between two enharmonic notes, i.e. the diminished mosstep or the negative diminished mosstep, whichever is positive. In [[soft]] (L:s < 2:1) scales, it is the diminished mosstep. In [[hard]] (L:s > 2:1) scales, it is the negative diminished mosstep, since the diminished mosstep itself is negative. In basic (L:s = 2:1) scales, it [[vanish]]es.
-If the fifth approximates the just interval [[3/2]], then the diesis or the negative diesis approximates the [[Pythagorean comma]]. In [[meantone]], the diesis also approximates [[128/125]], the augmented comma, which traditionally goes by the name of diesis.
+In particular, the diesis or '''enharmonic diesis''' in the [[diatonic scale]] is the diminished second or the negative diminished second, whichever is positive. For example, the interval of C#-Db or Db-C#.
+If the fifth approximates the just interval [[3/2]], then the diesis or the negative diesis approximates the [[Pythagorean comma]]. In [[meantone]], the diesis also approximates [[128/125]], the augmented comma, which traditionally goes by the name of ''diesis''.
 == See also ==