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Finding Optimal Integer Ratio for Any Decimal Fraction

To: mathgroup@smc.vnet.net
Subject: [mg12270] Finding Optimal Integer Ratio for Any Decimal Fraction
From: "Benjamin Tubb" <brtubb@cybertron.com>
Date: Tue, 5 May 1998 03:30:05 -0400
Organization: All USENET -- http://www.Supernews.com

I'm trying to find an optimal integer ratio for any given decimal value
within two constraints: 1) a maximum denominator and 2) a specified
decimal precision of match accuracy. For example: given a maximum
denominator of 2048, what is the smallest lowest common denominator
(LCD) ratio equaling close to 1.00057779 with a precision to the fifth
decimal place (i.e. the first '7' in this case)? The intent is to
generate a table of LCD integer ratios for each of the 1200 cents in 12
tone equal temperament.

----------------
Benjamin Tubb
AIM: brtubb
brtubb@cybertron.com
http://home.cybertron.com/~brtubb

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- Re: Finding Optimal Integer Ratio for Any Decimal Fraction
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