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Hillbilly

🔗Robert Walker <robertwalker@...>

7/31/2004 12:22:42 PM

Hi there,

http://www.robertinventor.com/hillbilly.mid

It's quite large for a midi file, as the
saved fractal tunes are sometimes as they
have so many notes - about a 200 KB.
Plays for 5 minutes.

The scale is a non octave one:
4/3 16/9 32/27 40/27 320/189 5120/2079
(not shown in ascending order)

As steps:
4/3 4/3 2/3 5/4 8/7 16/11

The funny thing about it is that the
last 5120/2079 is within one cent of
a 32/13 so the scale repeats almost at 32/13.

I found the scale in a program
search - see my post to tuning-math:

/tuning-math/message/11158

This one is:
[5 -3, 1 -1 -1, 1> = 2080/2079 = 0.832524
where the 5 -3 etc show the exponents
of 2, 3, 5, 7 11 and 13.

So that means that
2^5 * (1/3^3) * 5 * 1/7 * 1/11 * 13
is within a cent of 1/1.

I.e. (ignoring the first number which is the exponent of 2):

4/3 * 4/3 * 4/3 * 5/4 * 8/7 * 16/11 * 13/8
will be within a cent of 1/1 to within octave
equivalence, and this scale is just
that sequence of intervals treated as scale
steps. Of coures you could do them in any
order or combine them e.g. 5/3 as a step
or whatever.

Robert