1617/1600
Jump to navigation
Jump to search
| Ratio | 1617/1600 |
| Factorization | 2-6 × 3 × 5-2 × 72 × 11 |
| Monzo | [-6 1 -2 2 1⟩ |
| Size in cents | 18.297328¢ |
| Name | antimisma |
| Color name | 1ozzgg2, lobizogu 2nd, Lobizogu comma |
| FJS name | [math]\text{d2}^{7,7,11}_{5,5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 21.303 |
| Weil height (log2 max(n, d)) | 21.3182 |
| Wilson height (sopfr(nd)) | 50 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~3.51719 bits |
| Comma size | small |
| open this interval in xen-calc | |
The antimisma, 1617/1600, is an 11-limit small comma. It is the amount by which 11/10 exceeds 160/147. It is also the difference between the ptolemisma (100/99) and the septimal diesis (49/48), making it an anti-ptolemisma, or anti-misma. However, that is not the origin of the name. In fact, it is named after Antimo Liberati, because his birth year of 1617 is the numerator of this comma.
A stack of two septimal tritones (7/5) and an undecimal superfourth (11/8) is an antimisma above a perfect eleventh (8/3). While this leads to an essentially tempered chord of 1/1-7/5-49/25-8/3, it's rather far-flung.