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)
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.