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]].

~~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]]).

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 ==

~~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.

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.

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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]].
-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]]).
+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 ==
-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.
+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.