Talk:Radical interval: Difference between revisions
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: The Frobenius norm is said with respect to the projection map, not the temperament map. The projection map of meantone in the Frobenius tuning is [{{val| 17/33 16/33 -4/33 }}, {{val| 16/33 17/33 4/33 }}, {{val| -4/33 4/33 32/33 }}], whose norm is indeed sqrt (2). [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 13:48, 26 November 2022 (UTC) | : The Frobenius norm is said with respect to the projection map, not the temperament map. The projection map of meantone in the Frobenius tuning is [{{val| 17/33 16/33 -4/33 }}, {{val| 16/33 17/33 4/33 }}, {{val| -4/33 4/33 32/33 }}], whose norm is indeed sqrt (2). [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 13:48, 26 November 2022 (UTC) | ||
:: Oh, wow! That's great: <math>\sqrt{\strut (\frac{17}{33})^2 + (\frac{16}{33})^2 + (\frac{-4}{33})^2 + (\frac{16}{33})^2 + (\frac{17}{33})^2 + (\frac{4}{33})^2 + (\frac{-4}{33})^2 + (\frac{4}{33})^2 + (\frac{32}{33})^2} = \sqrt{2}</math>. Thank you so much for clearing that up. Now I finally understand and accept the name "Frobenius". Maybe the article doesn't need any revision — maybe its target audience is better equipped to discern this — but FWIW this was not clear to me without your help. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:55, 26 November 2022 (UTC) | |||