numbers

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On May 10, Margo Schulter wrote:

> <snip> but would not admit it for voices until it could
>be associated with known ratios of rational numbers. Either
>Kirnberger's original 10935:8192, or the variant of 16384:10935,
>indeed might be taken as a solution to this "riddle of Artusi."

Ratios of *rational* numbers ?? Perhaps ratio of integers would be more
precise ??

Fred Reinagel

Fred Reinagel wrote,

>Ratios of *rational* numbers ?? Perhaps ratio of integers would be more
>precise ??

Of course, the two are equivalent: a/b : c/d = a*d : b*c