# Talk:Target tuning

## "Overtone series"

not sure why this page isn't editable to me, but I suggest fixing the lone reference "overtone series" to the proper term "harmonic series" --Wolftune (talk) 20:44, 22 January 2022 (UTC)

- Recently many pages, typically those considered mathematically advanced, were locked for editing by admins only. This was announced on the "Xenwiki Work Group" Facebook group here (background posts: here, here, and here). I briefly relayed it to the wiki channel of the Discord server here. Sorry that the message didn't reach you.

- I agree with your suggestion. --Cmloegcmluin (talk) 17:01, 26 January 2022 (UTC)

## Typo in last section

I believe where it says ⟨1 0 -9] it should say ⟨1 0 -4], which would actually be meantone's period map. --Cmloegcmluin (talk) 20:01, 22 February 2022 (UTC)

## Eigendecomposition

With some help from Sintel, I was able to understand this page. It was not at all clear to me that it was necessary to take the assembled set of eigenvectors and then perform an eigendecomposition to get the projection matrix. Perhaps this is intuitive or obvious for many readers, but for beginners it would definitely help to state that explicitly or show that step. I believe Keenan Pepper said he was going to overhaul this page soon anyway, though. --Cmloegcmluin (talk) 20:01, 22 February 2022 (UTC)

- I'd love to help. I want to reorganize all pages related to generator optimization actually: to point out how they are related and what the easiest way to calculate them is.
- I'll see what others have to say first though.
- - Sintel (talk) 00:21, 23 February 2022 (UTC)

## Use by Fokker

According to Mike Battaglia, "unweighted least-squares" is the way Fokker tuned, which we believe is a reference to the tuning scheme described in the "Least squares tunings" section of this page. Because Fokker is an important theoretician who laid groundwork for RTT, I'd like to add that historical detail (preferably with a citation, if we can find it). --Cmloegcmluin (talk) 17:59, 30 January 2023 (UTC)

## Links to more in-depth explanations of these methods

The "Target tunings" described on this page are not discussed widely on the wiki. Until the recent addition of D&D's guide, this was pretty much the only place where they were described at all. D&D's guide treats these as the most basic/fundamental of RTT tuning schemes and explains them in much more detail. I suggest this page should link to the article of D&D's guide that focuses on this: Dave Keenan & Douglas Blumeyer's guide to RTT: tuning fundamentals.

The "Least squares tunings" section of this page very briefly describes and gives a method for computing a tuning scheme which in D&D's guide is systematically named "held-octave OLD miniRMS-U". This computation method is explained in detail here: Generator embedding optimization#Pseudoinverse method. I suggest this systematic tuning scheme name and link to more info should be provided.

The "Minimax tuning" section of this page very briefly describes and gives a method for computing a tuning scheme which in D&D's guide is systematically named "held-octave OLD minimax-U". This method is explained in more detail here: Generator embedding optimization#Coinciding-damage method. I suggest this systematic tuning scheme name and link to more info should be provided. --Cmloegcmluin (talk) 22:47, 30 January 2023 (UTC)

## Suggested improvement to the tie-breaking solution for the "Minimax" section

This page suggests that one should fall back to the miniRMS method to tie-break between tied minimax tunings, but that sort of misses the point of the problem. The two tied points are on extreme opposite ends of the slice of good solutions, and the optimum solution lies somewhere in between them. We don't want the tie-break to choose one or the other extreme; we want to find a better solution somewhere in between them. Instead, a power limit method should be used here, such as discussed here. (More context for this issue may also be found around this footnote: https://en.xen.wiki/w/Generator_embedding_optimization#cite_note-14 .) --Cmloegcmluin (talk) 22:51, 30 January 2023 (UTC)

## The "minimax" method as described here is more generally a "miniaverage" method

It only works for computing minimax tunings under two specific circumstances, both of which the page happens to meet (unity-weight damage, and all members of the target-interval set expressible as products of other members), but are not true in general. For more information, see: https://en.xen.wiki/w/Generator_embedding_optimization#cite_note-11 --Cmloegcmluin (talk) 22:52, 30 January 2023 (UTC)

## Acknowledge "unchanged-interval" parenthetically after eigenmonzo

A couple years back on the Xenwiki Work Group on Facebook a group decided to permit supplementing occurrences of the term "eigenmonzo" on the wiki with the plain-language "unchanged-interval". There is an occurrence here that I'd like to fix, but this page has been locked to admins only.

By the way, this appears to be the seventh change I've requested to this page, without action on them being taken. --Cmloegcmluin (talk) 23:23, 5 May 2023 (UTC)