1617/1600

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
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{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.