Talk:EDO vs ET: Difference between revisions

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::::: Hello. I hope it is written in the style of RTT how to describe the EDO as a non-JI abstract temperament (even if it doesn't make much sense to do so). e. g. 12edo is "21/12 domain basis" (and 21/12.5 is for "no-threes compton temperament.") e. g. Whereas 5-limit 12-ET maps 5/4 to a stack of 4 generators, 12-EDO maps 21/3 to a stack of 4 generators.--[[User:Dummy index|Dummy index]] ([[User talk:Dummy index|talk]]) 06:54, 24 June 2023 (UTC)

:::::: Hello, Dummy index. Sorry, but I don't understand most of what you're saying. I do think you're correct to say that EDOs do not make much sense to describe as temperaments. But then the rest of your message seems to go against that, so I'm confused.

:::::: When you say "21/12 domain basis", that conveys that 21/12 is a system you're tempering, but that's not the case, at least as far as I understand things. (On the other hand, it does make sense to say "2.3.5 domain basis" or "5-limit domain basis", because 5-limit JI is a system that we do often temper, e.g. by 12-ET.)

:::::: I think that using the verb "map" for an EDO has more potential to create confusion than it does to increase clarity. It would be better to reserve that word for temperaments — which are based on linear ''map''pings — and then use "round" for EDOs, as I've described above. What does "map" bring to the table that "round" doesn't, in your point of view? Why couldn't you just say that 12-EDO ''rounds'' 21/3 to a stack of 4 generators? Though I'm not sure what insights this statement is supposed to provide in the first place.

:::::: --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 20:19, 24 June 2023 (UTC)

== "Supports" ==

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 ::::: Hello. I hope it is written in the style of RTT how to describe the EDO as a non-JI abstract temperament (even if it doesn't make much sense to do so). e. g. 12edo is "2<sup>1/12</sup> domain basis" (and 2<sup>1/12</sup>.5 is for "no-threes compton temperament.") e. g. Whereas 5-limit 12-ET maps 5/4 to a stack of 4 generators, 12-EDO maps 2<sup>1/3</sup> to a stack of 4 generators.--[[User:Dummy index|Dummy index]] ([[User talk:Dummy index|talk]]) 06:54, 24 June 2023 (UTC)
+:::::: Hello, Dummy index. Sorry, but I don't understand most of what you're saying. I do think you're correct to say that EDOs do not make much sense to describe as temperaments. But then the rest of your message seems to go against that, so I'm confused.
+:::::: When you say "2<sup>1/12</sup> domain basis", that conveys that 2<sup>1/12</sup> is a system you're tempering, but that's not the case, at least as far as I understand things. (On the other hand, it does make sense to say "2.3.5 domain basis" or "5-limit domain basis", because 5-limit JI is a system that we do often temper, e.g. by 12-ET.)
+:::::: I think that using the verb "map" for an EDO has more potential to create confusion than it does to increase clarity. It would be better to reserve that word for temperaments — which are based on linear ''map''pings — and then use "round" for EDOs, as I've described above. What does "map" bring to the table that "round" doesn't, in your point of view? Why couldn't you just say that 12-EDO ''rounds'' 2<sup>1/3</sup> to a stack of 4 generators? Though I'm not sure what insights this statement is supposed to provide in the first place.
+:::::: --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 20:19, 24 June 2023 (UTC)
 == "Supports" ==