> Carl wrote: There seems to be a misunderstanding regarding the term
"equal-beating" temperament. Jorgensen used this term to describe a
non-theoretical means of setting historic temperaments.... It does not mean
that all of a particular type of interval share the same number of beats.
...
I think the Dutch term is not referring to the same thing.

Absolutely right Carl indeed!

Interestingly, in his "equal-beating" proposals Jorgensen failed in even
more ways than those objected to in Sturm's review:

1) Jorgensen described his equal-beating meantone temperaments among other
historical ones, leading many readers to conclude--wrongly--that these were
historical variants of meantone.

2) As far as I know tuners have rarely found Jorgensen's equal-beating
useful: the error you are spared thanks to equal-beating is substituted by
the error of not getting the temperament you are trying to achieve.

3) Jorgensen failed to acknowledge that his idea was not even original! He
applied to meantone a procedure already described for Equal Temperament in 
Leigh Silver, A.L. "Equal Beating Chromatic Scale" in Journal of the
Acoustical Society of America vol. 29 no. 4 pp. 476-481. New York (USA)
1957.

The more one delves deeper in Jorgensen's work .... 

Best
CDV
http://temper.braybaroque.ie/


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