Talk:Tuning map
"Generator tuning map"
In the intro, it says a tuning map has one entry for each basis element (---> generator) of the temperament. This is also the best generalization of the concept of "formal primes" to a temperament, yet the page makes a distinction between tuning maps based on generators and on formal primes, for some reason, even though I'm pretty sure such a distinction is entirely meaningless.
- Not sure what you are confused about here. Formal primes have little to do with this page.
- – Sintel🎏 (talk) 19:34, 15 April 2025 (UTC)
- I believe the confusion was about the generator tuning map specifically. I've removed the reference to 'formal prime' from that section.
- In general I prefer to just assume a prime basis unless it's relevant not to. Calling them 'basis elements' is fine but maybe overly technical.
- – Sintel🎏 (talk) 21:33, 15 April 2025 (UTC)
- The formal primes are said w.r.t. the JI subgroup. There's nothing to generalize. Magic's formal primes are 2, 3, 5, and 7. Magic's generators are ~2 and ~5/4. Perhaps you're confused by the terminology. Then let's say basis element of the JI subgroup, okay? FloraC (talk) 20:57, 15 April 2025 (UTC)
- P.S. pls remember to sign your comment with
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Misleading pseudoinverse
The use of the pseudoinverse here is kind of misleading since it is given:
- [math]\displaystyle{ \begin{align} T &= GM\\ G &= TM^{+} \end{align} }[/math]
Which immediately leads to a contradiction if we substitute:
- [math]\displaystyle{ T = GM = TM^{+}M \neq T }[/math]
since the pseudoinverse is only a right-inverse.
– Sintel🎏 (talk) 20:14, 15 April 2025 (UTC)
2025-04-26 undo details
https://en.xen.wiki/index.php?title=Tuning_map&diff=194143&oldid=194113 (To VectorGraphics) Tuning maps do not need to be defined in opposition to temperament maps (AKA vals). Both are linear forms (AKA covectors), so of course there's a similarity, but that comparison doesn't benefit from being done before a proper definition is given. Maybe that's how one would explain it to someone else on Discord, but that's not the best angle for a wiki page.
As for the so-called "(subgroup) tuning map", the existing term is "(tempered-prime) tuning map". See Dave Keenan & Douglas Blumeyer's guide to RTT/Conventions for names, variables, units, and notations. Please do not impose idiosyncratic terms without discussing it when another term already exists. If someone reverts your edit, you should discuss instead of bluntly reinstating your own work which was just reverted. --Fredg999 (talk) 19:21, 26 April 2025 (UTC)