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Tripod-12 tuning
x31eq
I’ve been thinking about the 7 note subset of the tripod scale that can be written as

E F G# A B C D# E

Read about it here:

http://xenharmonic.wikispaces.com/Graph-theoretic+properties+of+scales#Seven%20note%20scales-Gypsy

To implement it, I’ve got the 9 note tripod scale (Gypsy plus a Db and Gb) plus 3 other notes to give a 12 note scale. Here are the scala files:

! tripod12.scl
!
Tripod scale plus 3 pitches
 12
!
116.014
182.914
267.814
383.828
499.842
651.642
700.756
767.656
883.670
999.684
1084.584
1200.598


! tripod12oe.scl
!
Tripod scale plus 3 pitches
 12
!
115.955
182.824
267.683
383.638
499.593
651.321
700.407
767.276
883.231
999.186
1084.045
1200.000


It sounds fine to me, looks like a way of adding septimal harmony to traditional melody. As well as the E gypsy there’s some support for C and F major but no G major triad.

Another thing I thought about is that E-A-Db-Gb-B-E probably works as a quartal chord. The Db-Gb isn’t an approximate 4:3 in the tripod scale, though. More like a 7:5 in fact (leading to meantone with Fx instead of Gb) or 11:8 (apollo). Other steps approximate either 4:3 or 9:7. It might do as the open string tuning of a tripod guitar.
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