Ditonma: Difference between revisions
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Add description of derivation and point to equvalence continuum |
+ distinguish notice; clarify on etymology; misc. cleanup |
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{{Distinguish|Ditonic comma}} | |||
{{Infobox Interval | {{Infobox Interval | ||
| Name = Ditonma | | Name = Ditonma | ||
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| Comma = yes | | Comma = yes | ||
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The '''ditonma''' is a [[small comma|small]] [[5-limit]] [[comma]] of about 18. | The '''ditonma''' ({{monzo|legend=1| -27 -2 13 }}, [[ratio]]: 1 220 703 125 / 1 207 959 552) is a [[small comma|small]] [[5-limit]] [[comma]] of about 18.2 [[cent]]s. It is the amount by which a stack of 13 classic major thirds ([[5/4]]) exceeds a stack of 3 [[octave]]s and 2 perfect fifths ([[3/2]]). | ||
== Temperaments == | == Temperaments == | ||
[[Tempering out]] this comma leads to the [[ | [[Tempering out]] this comma leads to the [[ditonic]] temperament, which falls between [[magic]] and [[würschmidt]] on the [[Father–3 equivalence continuum]]. | ||
See [[Ditonmic family]] for the [[family of temperaments]] where it is tempered out. | |||
== Etymology == | == Etymology == | ||
This comma was named by [[Petr Pařízek]] in 2011 in terms of the corresponding temperament, [[ditonic]]<ref>See [[Ditonmic family]] for sources. </ref>. | This comma was named by [[Petr Pařízek]] in 2011 in terms of the corresponding temperament, [[ditonic]]<ref>See [[Ditonmic family]] for sources. </ref>. However, ''ditonic comma'' refers to the [[Pythagorean comma]], so the irregular name ''ditonma'' was coined instead. | ||
== | == References == | ||
<references/> | <references/> | ||
[[Category:Ditonic]] | |||
[[Category:Commas named for the generator of their temperament]] | [[Category:Commas named for the generator of their temperament]] | ||
Latest revision as of 07:32, 21 September 2026
- Not to be confused with Ditonic comma.
| Interval information |
Lala-theyo comma
The ditonma (monzo: [-27 -2 13⟩, ratio: 1 220 703 125 / 1 207 959 552) is a small 5-limit comma of about 18.2 cents. 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 ditonic temperament, which falls between magic and würschmidt on the Father–3 equivalence continuum.
See Ditonmic family for the family of temperaments where it is tempered out.
Etymology
This comma was named by Petr Pařízek in 2011 in terms of the corresponding temperament, ditonic[1]. However, ditonic comma refers to the Pythagorean comma, so the irregular name ditonma was coined instead.
References
- ↑ See Ditonmic family for sources.