Klarinet Archive - Posting 000315.txt from 2004/11

From: Roger Shilcock <roger.shilcock@-----.uk>
Subj: Re: [kl] Re: pitch
Date: Mon, 8 Nov 2004 06:42:35 -0500


For modern equal temperament it *is* a meter of the twelfth root of 2 -each step
upwards in pitch involves a multiplication of the frequency of the note below
by this factor.
Roger S.

In message <001c01c4c57d$c936eb60$0100000a@-----.org writes:
> orm1ondtoby@-----.net (Ormondtoby Montoya) wrote
>
> <<
> Rien, I don't know if your question was rhetorical
> >>
>
> No, I really am interested in the mathematics behind our tone system. Thanks
> for your answer, but a new problem arises:
>
> You give three different frequencies, and I know that an octave means a
> doubling of frequency, but I do not know how to calculate correctly the
> frequencies in between, I have always thought it has something to do with
> the twelfth-root. Obviously there is no clear system? I know Bach's
> "Wohltemporietes Klavier" has something to do with "equal pitch" but never
> understood the problem.
>
> And I asked (but, I admit, only very implicitly) another question:
>
> On a piano A-sharp and B-flat are the same key, and thus the same frequency.
> But to my intuition B-flat is slightly lower then A-sharp. Has that also to
> do with the way our ear "calculates" these notes?
>
> Rien
>
>
>
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