AW: Bach, Werckmeister & Co.

>

Hello Werner!
You are quite correct in pointing this out
All the sets of fifths you mention besides the octave are not only not Equal beating but the beats are related to each other by factors involving the square root of two. ,
hencethe relationships of beats to each other would be irrational numbers.

>
> From: "Werner Mohrlok" <wmohrlok@hermode.com>
> Subject: AW: Bach, Werckmeister & Co.
>
>
> The term "gleichschwebend" or "equal beating" is a fiction or a nonsense.
> This idea cannot become achieved by any temperament. An equal tempered
> fifth, e. g. C1 - G1, beats one octave higher as C2 - G2 with the double
> rapidity. D1 - A1 in E.T. beats quicker than C1 - G1, E1 - B(H)1 quicker
> than D1 - A1 ... and so on.
> "Gleichstufig" which means "Identical steps" is in German the actual and
> better term for E.T.
>
> Werner Mohrlok

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