Klarinet Archive - Posting 000312.txt from 2004/11

From: "rien stein" <rstein@-----.nl>
Subj: [kl] Re: pitch
Date: Mon, 8 Nov 2004 05:29:43 -0500

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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