Barlowes indigestibility: an experiment

I agree that Clarens Bawrlough's formula yields roughly the same results as
an odd limit, however, in trying to reconstruct his thought process, which
sought a finer weighing of the differences in complexity between the
numbers, it might be useful to repeat an experiment that Klarance Bahlo
conducted with various musician friends in assorted Cologne restaurants.

It involves slicing a torte (or cake or pie, for us yanks) into radial
slices of equal size. Given the task of cutting 9 tortes into
2,3,4,5,6,7,8, and 9 slices, rank the difficulty of the slices. Most would
probably agree that two comes first, and then four, but Claehrence Bharlo
reported that disagreement appeared already with the third item.

Although I cannot invite the list to dinner in Cologne, I propose that we
duplicate the experiment. Since most of us on the list are into higher
primes, let's try all divisions through 19. Please send me, off list ,
your own ranking of the difficulties in slicing tortes (cakes, pies) from 2
to 19 equal parts. I'll compile the results and report back.

Concerning Barlow Indigestibility:
It seems like it was just a few months when we went over the Barlow
stuff. I expressed at that time that in examining the 24 inversions of
11 limit tetrads where no two voices were separated by more than an
octave that barlows results did not coincide with my ear. I believe
Erlich had some problems with the results of his formula. In a true
science when an experiment fails they throw it in the trash or modify
it.
-- Kraig Grady
North American Embassy of Anaphoria Island
www.anaphoria.com

Message text written by INTERNET:tuning@onelist.com
>I believe
Erlich had some problems with the results of his formula. In a true
science when an experiment fails they throw it in the trash or modify
it.
-- Kraig Grady<

That's exactly how Barlow was working; in essence, by taking the magnitude
of the numbers alone he ran into a problem with evaluating the composites
(i.e. does 6 rank higher than five or nine higher than seven?), and his
formula was one attempt to solve this.

BTW, I've had five responses so far to the torte slicing problem --