Talk:Tenney–Euclidean temperament measures: Difference between revisions

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What does this notation mean?: still a bit confusing
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::: What does L2 mean? The same as L<sup>2</sup>? Is there any chance to make it understandable for non-mathematicians? --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 05:35, 24 July 2020 (UTC)
::: What does L2 mean? The same as L<sup>2</sup>? Is there any chance to make it understandable for non-mathematicians? --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 05:35, 24 July 2020 (UTC)
:::: Apparently Mike would use "ℓ<sub>2</sub>", though I prefer "''L''<sup>2</sup>". In [[wikipedia:Norm_(mathematics)]], they're used interchangeably. In [[wikipedia:Lp_space]], however, "ℓ<sup>2</sup>" is reserved for infinite-dimension spaces, which I don't think is the case here. Regardless of the notation, it means Euclidean space, so L2 norm means Euclidean norm or "the length". P.S. My approach is mostly an engineer's so I might value practicality over rigor. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 08:31, 24 July 2020 (UTC)
::::: Thanks for the clarification. We all know that if you "skim" articles (instead of carefully reading them), you are mostly attracted by images, numbers and tables, so it's sometimes hard to figure out the meaning of key terms without reading the whole text. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 09:09, 24 July 2020 (UTC)

Latest revision as of 17:03, 17 February 2025

What does this notation mean?

This article uses the notation "Standard L2 norm 7.195 : 5.400 2.149 : 2.763 12.882×10-3 : 12.435×10-3". What does it mean?
Left (e.g. 7.195) is the result from magic, right (e.g. 5.400) is from meantone as is marked on the title of the table. Is it really a problem? FloraC (talk) 05:15, 24 July 2020 (UTC)
What does L2 mean? The same as L2? Is there any chance to make it understandable for non-mathematicians? --Xenwolf (talk) 05:35, 24 July 2020 (UTC)
Apparently Mike would use "ℓ2", though I prefer "L2". In wikipedia:Norm_(mathematics), they're used interchangeably. In wikipedia:Lp_space, however, "ℓ2" is reserved for infinite-dimension spaces, which I don't think is the case here. Regardless of the notation, it means Euclidean space, so L2 norm means Euclidean norm or "the length". P.S. My approach is mostly an engineer's so I might value practicality over rigor. FloraC (talk) 08:31, 24 July 2020 (UTC)
Thanks for the clarification. We all know that if you "skim" articles (instead of carefully reading them), you are mostly attracted by images, numbers and tables, so it's sometimes hard to figure out the meaning of key terms without reading the whole text. --Xenwolf (talk) 09:09, 24 July 2020 (UTC)