3 ms·
The circle of fifths is a by-product of the more generalized lattice theory: http://x31eq.com/lattice.htm http://x31eq.com/lattice.htm As the Wikipedia articl
by wgj 17y ago
The circle of fifths is a by-product of the more generalized lattice theory:
http://x31eq.com/lattice.htm http://x31eq.com/lattice.htm
As the Wikipedia article explains the Pythagorean Comma, there are actually many possible commas caused by equal temperament when traversing the lattice in various ways. Most traditional harmonic theory exploits our psychological response to these gaps caused by equal temperament. Music theory based on the circle of fifths is a small subset of that.
- nuba 17y agoWhoa, found many other interesting things there, too: http://x31eq.com/tuning.htm http://x31eq.com/tuning.htm Thanks!
- anigbrowl 17y agoThere 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 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).
- wgj 17y agoI 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 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.
- aaronblohowiak 17y agoFiddles are GDAE, all fifths, just like a mandolin