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 | 3.2757513¢ |
| 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 (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 | |
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.