Keentet

You can argue over whether it's a scale or just a collection of notes, but in the eight notes below are embedded all five keenanismic tetrads:

http://xenharmonic.wikispaces.com/keenanismic+tetrads

plus and otonal and a utonal tetrad. These are the chords used as a basis for what I'm calling the keenanismic tablet:

http://xenharmonic.wikispaces.com/Tablets#The keenanismic tablet

I plan to provide some examples of the use of these tablets as a compositional tool shortly. Aside from the 7-limit transversal, you can also call the scale 12/11-6/5-5/4-16/11-3/2-12/7-7/4-2, with steps of size 12/11-11/10-25/24-7/6-33/32-8/7-49/48-8/7.

! keentet.scl
!
The five keenanismic triads, plus o- and u-tonal, in 284edo
8
!
152.11268
316.90141
384.50704
650.70423
701.40845
933.80282
967.60563
2/1
!
!! keentettrans.scl
!!
!Seven-limit transversal for keentet
! 8
!!
! 35/32
! 5/4
! 35/24
! 3/2
! 12/7
! 7/4
! 2/1

--- In tuning@yahoogroups.com, "genewardsmith" <genewardsmith@...> wrote:

> The five keenanismic triads, plus o- and u-tonal, in 284edo

Should be "tetrads". :(