1617/1600
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Ratio | 1617/1600 |
Factorization | 2^{-6} × 3 × 5^{-2} × 7^{2} × 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 (log_{2} nd) | 21.303 |
Weil height (log_{2} max(n, d)) | 21.3182 |
Wilson height (sopfr (nd)) | 50 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~3.53191 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.