529/528

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Interval information
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]\displaystyle{ \text{d}{-2}^{23,23}_{11} }[/math]
Special properties square superparticular,
reduced
Tenney norm (log2 nd) 18.0915
Weil norm (log2 max(n, d)) 18.0942
Wilson norm (sopfr(nd)) 68
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, and between two 23/16s and an octave above 33/32. 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.

See also