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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 0.85514156¢
Names cupcake comma,
Color name L23u1uyy-2,
latwethuluyoyo negative 2nd,
Latwethuluyoyo comma
FJS name [math]\text{A1}^{5,5}_{11,23}[/math]
Special properties square superparticular,
Tenney height (log2 nd) 21.9667
Weil height (log2 max(n, d)) 21.9674
Wilson height (sopfr (nd)) 62
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.20506 bits
Comma size unnoticeable
S-expression S45
open this interval in xen-calc

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 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.


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