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 | 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#. | ||
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. | 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. | ||
Revision as of 11:31, 21 October 2022
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#.
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
- Diesis (disambiguation page)