529/528
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Ratio
529/528
Factorization
2-4 × 3-1 × 11-1 × 232
Monzo
[-4 -1 0 0 -1 0 0 0 2⟩
Size in cents
3.275751¢
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 (log2 nd)
18.0915
Weil height (log2 max(n, d))
18.0942
Wilson height (sopfr(nd))
68
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.29945 bits
Comma size
unnoticeable
S-expression
S23
open this interval in xen-calc
| Interval information |
bitwetho-alu 2nd,
Bitwetho-alu comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
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. Which was in turn named after a fictional character.