1815/1792: Difference between revisions
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'''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]]. | '''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 [[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. | 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, chief among which is [[orwell]], but there are many others like [[mothra]], [[tritonic]] and [[suprapyth]]. | ||
== Etymology == | |||
This comma was named by [[User:Jerdle|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. | |||
Revision as of 15:27, 20 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 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.