Talk:EDO vs ET: Difference between revisions

Line 65:

:::::::: Perhaps, though, all you mean is, again, not that EDOs and ETs are both regular temperaments, but that they are both ''generated tunings'', as Fredg999 described, or in other words, that they can be visualized on a lattice. Even more specifically, they can both be visualized on 1D lattices. And one other thing they have in common is that both lattices' single dimension's generators represent an interval 2<sup>1/n</sup>, whether that's for n-ET or n-EDO, and whether or not this interval is tuned exactly. That much I can certainly agree with.

:::::::: --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 15:55, 25 June 2023 (UTC)

::::::::: > the domain is our JI lattice

::::::::: I first said it was a non-JI. However, "completely non-JI" "temperament" may have been crazy idea. At that time, I was thinking about the validity of naming the pitches 2<sup>i/n</sup> in near-octave n-EDO.

::::::::: And thanks for the discussion. I feel like I'm starting to understand something, but let me confirm.

:::::::::* Is just intonation a RT?

:::::::::*# Yes. It maps ideal 2/1 to actual 2:1.

:::::::::*# No. It doesn't have any tempered out comma.

:::::::::*# No. It is not a temperament because it does not call itself a temperament.

:::::::::*# ...But yes, it is useful for introductory.

:::::::::* Is 12-EDO a RT?

:::::::::*# ...Unknown. How do you think of "Octave" as?

:::::::::*# No. It doesn't have any tempered out comma.

:::::::::*# No. It is not a temperament because it does not call itself a temperament.

:::::::::* Is 2-limit 12-ET (= contorted (order 12) 2-limit) a RT?

:::::::::*# Yes. It maps ideal 2/1 to actual 2:1.

:::::::::*# No. It doesn't have any tempered out comma.

:::::::::*# Yes. It is a temperament because it calls itself a temperament and well-defined.

::::::::: --[[User:Dummy index|Dummy index]] ([[User talk:Dummy index|talk]]) 14:27, 26 June 2023 (UTC)

== "Supports" ==

@@ Line 65: / Line 65: @@
 :::::::: Perhaps, though, all you mean is, again, not that EDOs and ETs are both regular temperaments, but that they are both ''generated tunings'', as Fredg999 described, or in other words, that they can be visualized on a lattice. Even more specifically, they can both be visualized on 1D lattices. And one other thing they have in common is that both lattices' single dimension's generators represent an interval 2<sup>1/n</sup>, whether that's for n-ET or n-EDO, and whether or not this interval is tuned exactly. That much I can certainly agree with.
 :::::::: --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 15:55, 25 June 2023 (UTC)
+::::::::: &gt; the domain is our JI lattice
+::::::::: I first said it was a non-JI. However, "completely non-JI" "temperament" may have been crazy idea. At that time, I was thinking about the validity of naming the pitches 2<sup>i/n</sup> in near-octave n-EDO.
+::::::::: And thanks for the discussion. I feel like I'm starting to understand something, but let me confirm.
+:::::::::* Is just intonation a RT?
+:::::::::*# Yes. It maps ideal 2/1 to actual 2:1.
+:::::::::*# No. It doesn't have any tempered out comma.
+:::::::::*# No. It is not a temperament because it does not call itself a temperament.
+:::::::::*# ...But yes, it is useful for introductory.
+:::::::::* Is 12-EDO a RT?
+:::::::::*# ...Unknown. How do you think of "Octave" as?
+:::::::::*# No. It doesn't have any tempered out comma.
+:::::::::*# No. It is not a temperament because it does not call itself a temperament.
+:::::::::* Is 2-limit 12-ET (= contorted (order 12) 2-limit) a RT?
+:::::::::*# Yes. It maps ideal 2/1 to actual 2:1.
+:::::::::*# No. It doesn't have any tempered out comma.
+:::::::::*# Yes. It is a temperament because it calls itself a temperament and well-defined.
+::::::::: --[[User:Dummy index|Dummy index]] ([[User talk:Dummy index|talk]]) 14:27, 26 June 2023 (UTC)
 == "Supports" ==