1617/1600

Interval information

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]\displaystyle{ \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]\displaystyle{ \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.