2025/2024
| 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, 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 (log2 nd) | 21.9667 |
| Weil height (log2 max(n, d)) | 21.9674 |
| Wilson height (sopfr (nd)) | 62 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.44495 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.