1815/1792: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Jerdle (talk | contribs)
Fixed formatting, rephrased.
Jerdle (talk | contribs)
No edit summary
Line 6: Line 6:
}}
}}


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]]).
The '''guerrisma''', '''1815/1792''', is an [[11-limit]] comma that 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.
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.
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.

Revision as of 00:14, 18 February 2025

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

The guerrisma, 1815/1792, is an 11-limit comma that 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, 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.