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Re:Math and structure in music: the Circle of Fifths by anigbrowl on Tuesday December 29, 2009 @02:01PM (#1021028)
There is actually a keyboard based around this theory, though it's a bit pricey ($500, or $700 for one with more features): http://www.c-thru-music.com/cgi/?page=prod_axis-49

Some people love it, though if you have extensive experience with a keyboard then it may actually be counter-intuitive (I learned music on a piano and I still get hopelessly lost on the frets of my bass guitar whenever I try to play something new).

Re:Math and structure in music: the Circle of Fifths by wgj on Tuesday December 29, 2009 @02:27PM (#1021078)
I didn't know about this device. Very cool. I have considered developing an algorithmic software concept based on lattices. This device is a hardware version of what I thought that might look like.

I might as well mention that Robert Fripp's New Standard tuning for guitar is entirely in fifths:

http://en.wikipedia.org/wiki/New_Standard_Tuning

Same side effect of turning seasoned guitarists into beginners, as the tuning is substantially different from other alternate tunings for guitar.

Re:Math and structure in music: the Circle of Fifths by aaronblohowiak on Tuesday December 29, 2009 @04:56PM (#1021407)
Fiddles are GDAE, all fifths, just like a mandolin