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RE: [tuning] Re: The elusive second skhisma

🔗Paul H. Erlich <PERLICH@ACADIAN-ASSET.COM>

7/5/2000 12:49:55 PM

Monz,

The relevance of Keenan's comment:

> doesn't there have to be one [a simpler ratio?],
> since there's never a "best" rational approximation to an
> irrational number (there's always a better one)?

is that you can pick an irrational number as small as you like, say 1 cent,
and find an infinite sequence of better and better rational approximations
to it. Moreover, this is possible even if you set a prime limit to the
rational approximations.

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