529/528
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Ratio | 529/528 |
Factorization | 2^{-4} × 3^{-1} × 11^{-1} × 23^{2} |
Monzo | [-4 -1 0 0 -1 0 0 0 2⟩ |
Size in cents | 3.2757513¢ |
Name | preziosisma |
Color name | 23oo1u2, bitwetho-alu 2nd, Bitwetho-alu comma |
FJS name | [math]\text{d}{-2}^{23,23}_{11}[/math] |
Special properties | square superparticular, reduced |
Tenney height (log_{2} nd) | 18.0915 |
Weil height (log_{2} max(n, d)) | 18.0942 |
Wilson height (sopfr (nd)) | 68 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.44524 bits |
Comma size | unnoticeable |
S-expression | S23 |
open this interval in xen-calc |
529/528, the preziosisma is a 23-limit superparticular comma of about 3.28 cents. It forms the difference between 23/22 and 24/23. By tempering it out is defined the preziosismic temperament, which enables the preziosismic chords.
Etymology
The name preziosisma was named by Xenllium in 2023. It refers to 529 Preziosa, the asteroid.