Re: unit numbers** to ratios (was Re: (d / O * F) * f)

Dave Keenan wrote 18 Feb
> The next best rational approximation of 2.9071...
> (it irks me not to have an analytic expression for this)

This book should not be difficult to buy. Or you can search another
text about continued fractions.

Khinchin, A. Ya. (Aleksandr YAkovlevich), _Continued fractions_. 1935.
Translated from Russian. University of Chicago Press, 1964.
Dover Publications, New York, 1997, 95 pages, USD 6.95.

>The revised formula gives the slightly more accurate
>1/1 25/24 51/47 26/23 53/45 27/22 55/43 4/3 57/41 82/57 3/2 86/55 44/27
90/53 23/13 94/51 48/25 2/1
|1/1 25/24 51/47 26/23 53/45 65/53 60/47 4/3 79/57 75/52 3/2 83/53 31/19
90/53 23/13 94/51 48/25 2/1
is the 17-tET Farey approximation of order 57, the highest denominator of
your approximation.

Manuel Op de Coul coul@ezh.nl