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The severity of scale

🔗Carl Lumma <clumma@...>

11/18/1997 4:36:37 PM
>>Does this mean that you're going to go over to squared detuning?
>
>Go over from where? I used squared error as the loss function to calculate
>optimal meantone temperaments and the quality of equal-tempered
>approximations in many posts here. When I said that the maximum error was 20
>cents, would it have made any difference to say that the maximum squared
>error is 400 cents squared? No, it would have just made me sound silly.

Actually, the difference between squared detuning and regular detuning is
quite important: it means that our intervals get worse exponentially. The
regular, "cents detuning" method strongly implies arithmatic worsening.

Carl


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