Friday, May 20, 2011

The Pentatonic Family pt. 1

This is a very elementary paper that i thought i would share.
It touches upon the use of Bi-level Moments of symmetry as well as chains with slight variations.
All is discussed in terms of an undefined 12 but the principle can be applied to any tuning. hope it is helpful.

It is like a third world application of Xenakis sieve method. but then again we might prefer to apply complex ideas in simple ways than simple ideas to complex ones.


  1. what do you mean by "third world application of Xenakis sieve method"? seems like a more complicated operation than union/intersection/etc. of two sets to me :)

    1. I am thankful to Ethno-mathematics for helping to shine a light on how developed non western mathematics is and has been. Third World was not a good term to use on my part.