seven to pi

Hi there,

Here's an improvisation in a diatonic mode of the eleven
note MOS based on the harmonic seventh.

http://mp3.com.au/RobertWalker/Seventopi/

Scale

187.04 418.22 462.35 693.52 880.57 1111.7 1200.0

which is a mode of

2^17/7^6 2^3/7 2^20/7^7 2^6/7^2 2^23/7^8 2^9/7^3 2^26/7^9 2^12/7^4 2^29/7^10 2^15/7^5 2/1
=
187.04 231.17 418.22 462.35 649.39 693.52 880.57 924.7 1111.7 1155.9 1200.0

step sizes L = 2^17/7^6 and S = 7^5/2^14

cents values: 187.04 44.13

Scale pattern of large and small step sizes:
L S L S L S L S S

L S = 8/7.

Here the major third 418.2187 is close to 14/11 at 417.51
and is very close to 4/pi at 418.2046.

This happens because 7^8/2^29 is within a hundredth of a cent of
pi/1, and it is close to 14/11 because of the approximation
to pi as 22/7.

Anyway that's what inspired the scale in the first place but I
just improvised in it as it came and it is a particularly
nice melodic scale I found.

I've also uploaded one of the fractal tunes to

http://mp3.com.au/track.asp?id=28208

Navigating the pacific by stars, wind and waves
(non polyrhythm version)

Both use the FM7.

Robert