Talk:Meet and join: Difference between revisions

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== Additional Updates ==

Since you can either join/meet two temperaments' vals or their kernels, and both are useful - and the larger picture of how both relate is what is the really mathematically interesting thing - I've just added both to the page. This way things are permissive and people simply can be clear in their own writings if they are joining/meeting vals or kernels.

For now I left the symbols as they are but I am not married to them and happy to make them more ASCII-friendly; I would just like to pick something simple that hasn't been also used in some incompatible way. I still thought && and || was a good suggestion. [[User:Mike Battaglia|Mike Battaglia]] ([[User talk:Mike Battaglia|talk]]) 21:34, 20 December 2021 (UTC)

== Lots of Updates ==

I've added lots of additional material on meet and join of subgroup temperaments, some poset-theoretic stuff, embellished some of the original material, corrected some strange inconsistencies and errors, etc. Not a total overhaul but much of the below was addressed in this. One noteworthy thing is that I flipped the convention for meet and join, after posting on FB, as the original one was chosen at random and doesn't generalize to subgroup temperaments - the "join" of two subgroup temperaments would have been the "meet" of the kernels and subgroups under the old convention. As the person who went with the initial convention said it didn't matter either way in the original post, I went with this instead. For notation I went with ⊓ and ⊔ for meet and join as they are easier to differentiate from the wedge product than the curvy one used. Anyway, always more to do, but I'm mostly happy with it for now. [[User:Mike Battaglia|Mike Battaglia]] ([[User talk:Mike Battaglia|talk]]) 10:49, 19 December 2021 (UTC)

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+== Additional Updates ==
+Since you can either join/meet two temperaments' vals or their kernels, and both are useful - and the larger picture of how both relate is what is the really mathematically interesting thing - I've just added both to the page. This way things are permissive and people simply can be clear in their own writings if they are joining/meeting vals or kernels.
+For now I left the symbols as they are but I am not married to them and happy to make them more ASCII-friendly; I would just like to pick something simple that hasn't been also used in some incompatible way. I still thought && and || was a good suggestion. [[User:Mike Battaglia|Mike Battaglia]] ([[User talk:Mike Battaglia|talk]]) 21:34, 20 December 2021 (UTC)
 == Lots of Updates ==
 I've added lots of additional material on meet and join of subgroup temperaments, some poset-theoretic stuff, embellished some of the original material, corrected some strange inconsistencies and errors, etc. Not a total overhaul but much of the below was addressed in this. One noteworthy thing is that I flipped the convention for meet and join, after posting on FB, as the original one was chosen at random and doesn't generalize to subgroup temperaments - the "join" of two subgroup temperaments would have been the "meet" of the kernels and subgroups under the old convention. As the person who went with the initial convention said it didn't matter either way in the original post, I went with this instead. For notation I went with ⊓ and ⊔ for meet and join as they are easier to differentiate from the wedge product than the curvy one used. Anyway, always more to do, but I'm mostly happy with it for now. [[User:Mike Battaglia|Mike Battaglia]] ([[User talk:Mike Battaglia|talk]]) 10:49, 19 December 2021 (UTC)