1617/1600
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Ratio
1617/1600
Factorization
2-6 × 3 × 5-2 × 72 × 11
Monzo
[-6 1 -2 2 1⟩
Size in cents
18.29733¢
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
| Interval information |
Lobizogu comma
(Shannon, [math]\sqrt{nd}[/math])
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.