Val: Difference between revisions

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== Vals in regular temperaments ==

There is also a notion of a "tempered val" on a group of "tempered monzos", representing intervals in some [[regular temperament]]. ~~This name is~~ sometimes abbreviated as ~~[[Tmonzos~~ and ~~Tvals|"tmonzos" and "tvals"]]~~. Typically, this is made explicit by writing the generators beforehand. When the tempered intervals have accepted names, such as in [[meantone]] ~~temperament~~, we can use names like "P8" and "P5," so that the tval "P8.P5 {{val| 12 7 }}" represents the ~~12-edo~~ "patent tval" in meantone ~~temperament~~ (given that particular basis). If the intervals ~~don't~~ have names, a [[transversal]] can be given instead, preceded with the temperament name, so that we have "(meantone) 2.3/2 {{val| 12 7 }}, or "(meantone) 2.3/2 {{val| 31 18 }}".

There is also a notion of a ''tempered val'' on a group of ''tempered monzos'', representing intervals in some [[regular temperament]]. These names are sometimes abbreviated as ''tval'' and ''tmonzo'', respectively. Typically, this is made explicit by writing the generators beforehand. When the tempered intervals have accepted names, such as in [[meantone]], we can use names like ''P8'' and ''P5'', so that the tval P8.P5 {{val| 12 7 }} represents the 12edo "patent tval" in meantone (given that particular basis). If the intervals do not have names, a [[transversal]] can be given instead, preceded with the temperament name, so that we have (meantone) 2.3/2 {{val| 12 7 }}, or (meantone) 2.3/2 {{val| 31 18 }}.

== Vals vs. mappings ==

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 == Vals in regular temperaments ==
-There is also a notion of a "tempered val" on a group of "tempered monzos", representing intervals in some [[regular temperament]]. This name is sometimes abbreviated as [[Tmonzos and Tvals|"tmonzos" and "tvals"]]. Typically, this is made explicit by writing the generators beforehand. When the tempered intervals have accepted names, such as in [[meantone]] temperament, we can use names like "P8" and "P5," so that the tval "P8.P5 {{val| 12 7 }}" represents the 12-edo "patent tval" in meantone temperament (given that particular basis). If the intervals don't have names, a [[transversal]] can be given instead, preceded with the temperament name, so that we have "(meantone) 2.3/2 {{val| 12 7 }}, or  "(meantone) 2.3/2 {{val| 31 18 }}".
+{{Main| Tmonzos and tvals }}
+There is also a notion of a ''tempered val'' on a group of ''tempered monzos'', representing intervals in some [[regular temperament]]. These names are sometimes abbreviated as ''tval'' and ''tmonzo'', respectively. Typically, this is made explicit by writing the generators beforehand. When the tempered intervals have accepted names, such as in [[meantone]], we can use names like ''P8'' and ''P5'', so that the tval P8.P5 {{val| 12 7 }} represents the 12edo "patent tval" in meantone (given that particular basis). If the intervals do not have names, a [[transversal]] can be given instead, preceded with the temperament name, so that we have (meantone) 2.3/2 {{val| 12 7 }}, or  (meantone) 2.3/2 {{val| 31 18 }}.
 == Vals vs. mappings ==