1815/1792

From Xenharmonic Wiki
Revision as of 13:15, 18 February 2025 by Jerdle (talk | contribs) (Added links to 26 and 29.)
Jump to navigation Jump to search
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
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 implies 11/8 falls exactly halfway between 4/3 and 10/7, tempering out the guerrisma implies it falls 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, French for war, after the ratio of 1815/1792. 1792-1815 was a period of many wars involving France, including both the Revolutionary Wars and the Napoleonic Wars.