2^k fifths scale

It's funny since there was so much talk about John's choice of 256 in his
interval ratio that something unrelated came to mind last night regarding
256. I haven't played it, but here it is.

The basic idea is that..
The difference between a JI fifth and a 12edo fifth is the pyth. comma / 12
= circa 1.95500c
The difference between a 12 edo fifth and the octave is 500c.
256 * 1.95500c = circa 500.48c.
In 12edo with C tonic, 256 stacked JI fifths would equal an octave-congruent
E+500.48c, i.e. basically an A (the relative minor tonic if C is in the
major key).
A 10-note scale was constructed with tonic and pitches
f = (3/2)^(2^k) for k=0..8
given within the octave.

In cents, this gives 0 and
203.91
407.82
431.28
525.12
701.96
815.64
862.56
900.48
1050.24