Reply to John Hoadley

>using
>the divisions as a template I made the scale length 116 units long, and
>divided half this figure into1200 (cents) this gives 20.68 cents per
>unit

Cents don't go linearly with length -- if they did, a standard guitar would
have equally-spaced frets. Instead it is the ratio of the fret-to-nut
distance to the scale length that tells you (inversely) the ratio of the
frequencies of the fretted note to the open string. Since you're looking at
a just fretting, you'd be better off fropping cents altogether and just
looking at the distance ratios -- that should make things clear.