2025/2024: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Xenllium (talk | contribs)
mNo edit summary
CompactStar (talk | contribs)
No edit summary
Line 1: Line 1:
{{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
Line 6: Line 6:


{{Distinguish| Fokker comma }}
{{Distinguish| Fokker comma }}
'''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]].
'''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]]. 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]].


== 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 ==
Line 15: Line 17:
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:Fokkerismic]]
[[Category:Cupcakesmic]]

Revision as of 08:26, 10 May 2024

Interval information
Ratio 2025/2024
Factorization 2-3 × 34 × 52 × 11-1 × 23-1
Monzo [-3 4 2 0 -1 0 0 0 -1
Size in cents 0.8551416¢
Names cupcake comma,
cupcakesma
Color name L23u1uyy-2,
latwethuluyoyo negative 2nd,
Latwethuluyoyo comma
FJS name [math]\displaystyle{ \text{A1}^{5,5}_{11,23} }[/math]
Special properties square superparticular,
reduced
Tenney norm (log2 nd) 21.9667
Weil norm (log2 max(n, d)) 21.9674
Wilson norm (sopfr(nd)) 62
Comma size unnoticeable
S-expression S45
Open this interval in xen-calc
Not to be confused with Fokker comma.

2025/2024, the cupcake comma or cupcakesma is a 23-limit superparticular comma of 0.8551 cents. 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. 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.

Etymology

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 Xenllium in 2023, after Adriaan Daniël Fokker, a Dutch physicist and musician. Fokker led a revival of interest in 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 31n-edo family (such as 31edo and 217edo). This name was deemed to be confusable 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