Talk:Constrained tuning: Difference between revisions

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: I do prefer ''CTWE'' to ''KE'' as its name, so I'll simply remove ''KE'' from this article. But I don't see why Mike has kept that part in ''Weil norm, Tenney-Weil norm, and TWp interval and tuning space #Kees-Euclidean seminorm'', if the same term is historically associated with something else. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 11:44, 7 February 2023 (UTC)

:: Oh, my. Yes, I can see that he himself added that information: https://en.xen.wiki/index.php?title=Weil_norm%2C_Tenney~~-Weil_norm~~%2C_and_TWp_interval_and_tuning_space&type=revision&diff=91295&oldid=91294 Well, that's even ''more'' confusing, then! Maybe he wasn't thinking about the inconsistency in naming between tuning and norm when he wrote that, and assumed that logically they would match. The tests in my code confirm that the historical KE results which he posted equal the destretched-octave version of this tuning, not the held-octave.

:: Oh, my. Yes, I can see that he himself added that information: https://en.xen.wiki/index.php?title=Weil_norm%2C_Tenney%E2%80%93Weil_norm%2C_and_TWp_interval_and_tuning_space&type=revision&diff=91295&oldid=91294 Well, that's even ''more'' confusing, then! Maybe he wasn't thinking about the inconsistency in naming between tuning and norm when he wrote that, and assumed that logically they would match. The tests in my code confirm that the historical KE results which he posted equal the destretched-octave version of this tuning, not the held-octave.

:: However, I see that he used the pseudoinverse to find his results, which I'd suppose would correspond with the held-octave (constrained) version, not the destretched. So... perhaps in the special case of Euclideanized tunings, the destretched and held versions work out the same?

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 : I do prefer ''CTWE'' to ''KE'' as its name, so I'll simply remove ''KE'' from this article. But I don't see why Mike has kept that part in ''Weil norm, Tenney-Weil norm, and TWp interval and tuning space #Kees-Euclidean seminorm'', if the same term is historically associated with something else. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 11:44, 7 February 2023 (UTC)
-:: Oh, my. Yes, I can see that he himself added that information: https://en.xen.wiki/index.php?title=Weil_norm%2C_Tenney-Weil_norm%2C_and_TWp_interval_and_tuning_space&type=revision&diff=91295&oldid=91294 Well, that's even ''more'' confusing, then! Maybe he wasn't thinking about the inconsistency in naming between tuning and norm when he wrote that, and assumed that logically they would match. The tests in my code confirm that the historical KE results which he posted equal the destretched-octave version of this tuning, not the held-octave.
+:: Oh, my. Yes, I can see that he himself added that information: https://en.xen.wiki/index.php?title=Weil_norm%2C_Tenney%E2%80%93Weil_norm%2C_and_TWp_interval_and_tuning_space&type=revision&diff=91295&oldid=91294 Well, that's even ''more'' confusing, then! Maybe he wasn't thinking about the inconsistency in naming between tuning and norm when he wrote that, and assumed that logically they would match. The tests in my code confirm that the historical KE results which he posted equal the destretched-octave version of this tuning, not the held-octave.
 :: However, I see that he used the pseudoinverse to find his results, which I'd suppose would correspond with the held-octave (constrained) version, not the destretched. So... perhaps in the special case of Euclideanized tunings, the destretched and held versions work out the same?