2025/2024: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = fokkerisma
| Name = cupcake comma, cupcakesma
| Color name = L23u1uyy-2, <br>latwethuluyoyo negative 2nd, <br>Latwethuluyoyo comma
| Color name = L23u1uyy-2, <br>latwethuluyoyo negative 2nd, <br>Latwethuluyoyo comma
| Comma = yes
| Comma = yes
}}
}}


{{Distinguish| Fokker comma }}
'''2025/2024''', the '''cupcake comma''' or '''cupcakesma''' is a [[23-limit]] [[Superparticular ratio|superparticular comma]] of 0.8551 [[cent]]s. It is the amount by which a stack consisting of [[9/8]], [[15/11]] and [[30/23]] exceeds an [[octave]], and forms the difference between [[45/44]] and [[46/45]]. It merges the last two commas together by splitting the [[23/22]] small semitone in two equal parts.  Tempering it out in the 2.3.5.11.23 subgroup results in the '''cupcake temperament'''. Tempering it out in the full [[23-limit]] it results in the '''cupcakesmic temperament''', which enables the [[cupcakesmic chords]].
'''2025/2024''', the '''fokkerisma''' is a [[23-limit]] [[Superparticular ratio|superparticular comma]] of 0.8551 [[cent]]s. It is the amount by which a stack consisting of [[9/8]], [[15/11]] and [[30/23]] exceeds an [[octave]], and forms the difference between [[45/44]] and [[46/45]]. By tempering it out is defined the '''fokkerismic temperament''', which enables the [[fokkerismic chords]].


== Etymology ==
== Etymology ==
The name ''fokkerisma'' was named by [[User:Xenllium|Xenllium]] in 2023, after [[Adriaan Fokker|Adriaan Daniël Fokker]], a Dutch physicist and musician. Fokker led a revival of interest in [[31edo|31-tone equal temperament]] (31edo), and invented the Fokker organ, a 31-tone equal-tempered organ. Rational intervals 45/44 and 46/45 were mapped to 1/31 of an octave (38.71¢, halfway between both ratios) in some EDOs of the 31<i>n</i>-edo family (such as 31edo and [[217edo]]). ''Not to be confused with [[Semicomma|Fokker's comma]]'' (otherwise known as semicomma, 2109375/2097152, 10.06¢).
The names cupcake comma and cupcakesma refer to the connection between this comma and [[45/44]] (also known as the cake comma).
 
It was formerly ''fokkerisma'' by [[User:Xenllium|Xenllium]] in 2023, after [[Adriaan Fokker|Adriaan Daniël Fokker]], a Dutch physicist and musician. Fokker led a revival of interest in [[31edo|31-tone equal temperament]] (31edo), and invented the Fokker organ, a 31-tone equal-tempered organ. Rational intervals 45/44 and 46/45 were mapped to 1/31 of an octave (38.71¢, halfway between both ratios) in some EDOs of the 31<i>n</i>-edo family (such as 31edo and [[217edo]]). This name was deemed to be confusable [[Semicomma|Fokker's comma]] (otherwise known as semicomma, 2109375/2097152, 10.06¢), so a poll was held on [[Talk:2025/2024]] to rename the comma. The names cupcake comma and cupcakesma ended up winning.


== See also ==
== See also ==
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* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:Fokkerismic]]
[[Category:Cupcakesmic]]
[[Category:Commas named following events]]