RE: The severity of scale

>
>>>>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:
>
>I agree -- thus my loss function. By absolute detuning, quarter-comma
>meantone is optimal.
>
>>it means that our intervals get worse exponentially.
>
>You mean quadratically (very different!).
>
>>The
>>regular, "cents detuning" method strongly implies arithmatic worsening.
>
>Right. The rate of beating is one quantity that does, in fact, increase
>linearly with absolute detuning.


SMTPOriginator: tuning@eartha.mills.edu
From: Carl Lumma
Subject: Carl's opinion on FPI tuning
PostedDate: 20-11-97 22:22:38
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