Talk:Constrained tuning: Difference between revisions

Line 43:

:::: I don't remember anymore; I thought Gene told me at one point on IRC that the unweighted Weil norm was the Hahn norm. Looking at it now, it seems the Hahn distance is only a seminorm and it equals the unweighted version of Kees expressibility up to the 7-limit and then something else thereafter. So I'm not sure. But Tenney-Weil already means something, and Weil is "Tenney-weighted by default." So I would call your norm something else. Paul Erlich may have some ideas about if anyone's used it before. If nobody's claimed it then I say go with the Canou norm. [[User:Mike Battaglia|Mike Battaglia]] ([[User talk:Mike Battaglia|talk]]) 08:44, 19 March 2024 (UTC)

::::: Then I'm simply gonna call the skew by 30 degrees (''k'' = 1) "skewed" in the next iteration, okay? So there's skewed-equilateral-Euclidean (SEE), skewed-Wilson/Benedetti-Euclidean (SBE). Weil-Euclidean is skewed-Tenney-Euclidean which probably isn't needed as an alias. Hahn is also skewed already so the unskewed variant I laid out in my essay needs a distinct name. I might happily claim that one instead. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 09:14, 19 March 2024 (UTC)

Revision as of 08:44, 19 March 2024 view source Mike Battaglia (talk \| contribs) autopatrolled, Bureaucrats, confirmaccount-notify, emailconfirmed, Interface administrators, Sysops 1,399 edits →CTWE, CWE, KE, etc: Hahn ← Older edit		Revision as of 09:14, 19 March 2024 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 24,776 edits →CTWE, CWE, KE, etc: re Newer edit →
Line 43:		Line 43:

	:::: I don't remember anymore; I thought Gene told me at one point on IRC that the unweighted Weil norm was the Hahn norm. Looking at it now, it seems the Hahn distance is only a seminorm and it equals the unweighted version of Kees expressibility up to the 7-limit and then something else thereafter. So I'm not sure. But Tenney-Weil already means something, and Weil is "Tenney-weighted by default." So I would call your norm something else. Paul Erlich may have some ideas about if anyone's used it before. If nobody's claimed it then I say go with the Canou norm. [[User:Mike Battaglia\|Mike Battaglia]] ([[User talk:Mike Battaglia\|talk]]) 08:44, 19 March 2024 (UTC)		:::: I don't remember anymore; I thought Gene told me at one point on IRC that the unweighted Weil norm was the Hahn norm. Looking at it now, it seems the Hahn distance is only a seminorm and it equals the unweighted version of Kees expressibility up to the 7-limit and then something else thereafter. So I'm not sure. But Tenney-Weil already means something, and Weil is "Tenney-weighted by default." So I would call your norm something else. Paul Erlich may have some ideas about if anyone's used it before. If nobody's claimed it then I say go with the Canou norm. [[User:Mike Battaglia\|Mike Battaglia]] ([[User talk:Mike Battaglia\|talk]]) 08:44, 19 March 2024 (UTC)

			::::: Then I'm simply gonna call the skew by 30 degrees (''k'' = 1) "skewed" in the next iteration, okay? So there's skewed-equilateral-Euclidean (SEE), skewed-Wilson/Benedetti-Euclidean (SBE). Weil-Euclidean is skewed-Tenney-Euclidean which probably isn't needed as an alias. Hahn is also skewed already so the unskewed variant I laid out in my essay needs a distinct name. I might happily claim that one instead. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 09:14, 19 March 2024 (UTC)