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. Which was in turn named after a fictional character.