1815/1792: Difference between revisions
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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]]). | 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 [[edo]]s as {{EDOs| 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 [[edo]]s as {{EDOs| 22, 31 and 53 }}, as well as the still fairly significant {{EDOs|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 13:15, 18 February 2025
| Interval information |
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.