2025/2024
Ratio | 2025/2024 |
Factorization | 2^{-3} × 3^{4} × 5^{2} × 11^{-1} × 23^{-1} |
Monzo | [-3 4 2 0 -1 0 0 0 -1⟩ |
Size in cents | 0.85514156¢ |
Names | cupcake comma, cupcakesma |
Color name | L23u1uyy-2, latwethuluyoyo negative 2nd, Latwethuluyoyo comma |
FJS name | [math]\text{A1}^{5,5}_{11,23}[/math] |
Special properties | square superparticular, reduced |
Tenney height (log_{2} nd) | 21.9667 |
Weil height (log_{2} 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 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.