Talk:Transversal

See also

https://en.xen.wiki/w/Transversal_generators

- Sintel (talk) 02:23, 21 December 2021 (UTC)

Indeed, this page makes no mention of the second major application of transversals in RTT: transversals of the preimages of generators, per the link Sintel shared above. That should be added to this page, at least as a "See also" link, but probably briefly conceptually introduced as well as linked. I cannot do this myself, though, and neither can Sintel, because we are not admins, and the page along with other mathematically-advanced pages has recently been locked. So would an admin please add something like this for us.

Furthermore, this page defines transversal in general, which is fine. But it is primarily about transversal scales, and at this time, it is the main place where those are defined. For now I've created the page Transversal scale to redirect here. But I suggest one of two possible things should be done next:

1. Option 1: Most of the material from this page should be extracted to turn this new Transversal scale page into a page in its own right, leaving behind here only information that's about transversals in and of themselves (and links out to the two existing applications of them: scales and generators).
2. Option 2: The page about generators preimage transversals should be merged in with this page, and so the resulting page will cover all three topics — transversals in general, scales, and generators.

--Cmloegcmluin (talk) 22:56, 24 January 2022 (UTC)

I still think one of these two options I've presented should be done. I do not have a strong preference between them. --Cmloegcmluin (talk) 19:51, 5 December 2022 (UTC)

I see that we have taken an Option #3, which is to simply remove this material entirely, rather than move most of it into "transversal scale". That's fine I guess. And it redirects to "detempering" rather than "generator detempering", the latter of which was the one I suggested could be merged in with this. That's fine. I still think we should merge the "generator detempering" page in with the "detempering" page, since it's really just a special case of it. Maybe I'll try that out and see how it fits. --Cmloegcmluin (talk) 23:09, 26 March 2025 (UTC)

I think detempering should just be about scales that are detempers, while the transversal generator page is about finding out what JI intervals generate a certain temperament. Their uses are not really overlapping that much so I'm fine with keeping them seperate pages. EDIT: to add to this: I decided to make this a redirect since most of the references to this page are literally about detempering, and the contents of this page weren't really adding much relevant information on that topic. – Sintel🎏 (talk) 23:43, 26 March 2025 (UTC)

I came to the same conclusion when I started actually trying to make it work. Sweet. --Cmloegcmluin (talk) 23:45, 26 March 2025 (UTC)

Suggested ASCII diagram to illustrate concept

Dave and I have been discussing this topic over email and suggest that it could be a nice idea to supplement the definition of transversal here with a bare-bones illustration of the concept:

          |
{.........|...}
      {...|.........}
   {......|......}
          |

visualizing how a transversal "transverses" a list of sets, sampling one from each. Again, I can't add it to the page myself, since it has been locked recently for only admins to edit. --Cmloegcmluin (talk) 22:57, 24 January 2022 (UTC)

I still think this should be added. --Cmloegcmluin (talk) 19:51, 5 December 2022 (UTC)

I'm just posting here as a reminder to admins about these two requests, in case they all missed them the first time. --Cmloegcmluin (talk) 22:58, 6 May 2023 (UTC)