1815/1792

Interval information

Ratio	1815/1792
Factorization	2-8 × 3 × 5 × 7-1 × 112
Monzo	[-8 1 1 -1 2⟩
Size in cents	22.07869¢
Name	guerrisma
Color name	1oory-2, loloruyo negative second
FJS name	[math]\displaystyle{ \text{m}{-2}^{5,11,11}_{7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	21.6331
Weil height (log2 max(n, d))	21.6515
Wilson height (sopfr(nd))	53
Comma size	small
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The guerrisma, 1815/1792, is much like the larger inverse of the absinthma, from which it differs by the Alpharabian comma. While the absinthma causes 11/8 to fall exactly halfway between 4/3 and 10/7, the guerrisma causes it to fall halfway between 4/3 and 7/5. It is also extremely close to 81/80, exceeding it only by a lehmerisma (3025/3024).

It is tempered out in such notable EDOs as 22, 31 and 53, as well as the still fairly significant 26 and 29, as well as in a whole panoply of rank-2 temperaments.

The name of this comma is derived from guerre, the French word for war, after the ratio of 1815/1792. 1792-1815 was a period of many wars against France, including both the Revolutionary Wars and the Napoleonic Wars.