Ditonma: Difference between revisions
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The '''ditonma''' is a [[small comma|small]] [[5-limit]] [[comma]] of about 18.168 [[cent]]s. It has the [[monzo]] {{monzo| -27 -2 13 }} and the [[ratio]] '''1220703125 / 1207959552'''. | The '''ditonma''' is a [[small comma|small]] [[5-limit]] [[comma]] of about 18.168 [[cent]]s. It has the [[monzo]] {{monzo| -27 -2 13 }} and the [[ratio]] '''1220703125 / 1207959552'''. It is the amount by which a stack of 13 classic major thirds ([[5/4]]) exceeds a stack of 3 octaves and 2 perfect fifths ([[3/2]]). | ||
== Temperaments == | == Temperaments == | ||
[[Tempering out]] this comma leads to the [[ditonmic family]] of temperaments. | [[Tempering out]] this comma leads to the [[ditonmic family]] of temperaments, which falls between [[Magic]] and [[Würschmidt]] on the [[Father–3 equivalence continuum]]. | ||
== Etymology == | == Etymology == | ||
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[[Category:Commas named for the generator of their temperament]] | [[Category:Commas named for the generator of their temperament]] | ||
Latest revision as of 14:29, 9 August 2025
| Interval information |
Lala-theyo comma
The ditonma is a small 5-limit comma of about 18.168 cents. It has the monzo [-27 -2 13⟩ and the ratio 1220703125 / 1207959552. It is the amount by which a stack of 13 classic major thirds (5/4) exceeds a stack of 3 octaves and 2 perfect fifths (3/2).
Temperaments
Tempering out this comma leads to the ditonmic family of temperaments, which falls between Magic and Würschmidt on the Father–3 equivalence continuum.
Etymology
This comma was named by Petr Pařízek in 2011 in terms of the corresponding temperament, ditonic[1].
Notes
- ↑ See Ditonmic family for sources.