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]\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
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.00137 bits
Comma size	small
Open this interval in xen-calc

1815/1792, the guerrisma, is an 11-limit comma that is much like the larger inverse of the absinthma, from which it differs by the Alpharabian comma. While tempering out the absinthma sets 11/8 to exactly halfway between 4/3 and 10/7, tempering out the guerrisma sets it to halfway between 4/3 and 7/5 instead. As such, the two commas sum to 50/49.

The guerrisma is 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, chief among which is orwell, but there are many others like mothra, tritonic and suprapyth.

Etymology

This comma was named by Jerdle in 2025, after guerre, the French word for war. This is based on the ratio, as 1792-1815 was a period of many wars involving France, with the Revolutionary Wars followed immediately by the Napoleonic Wars.