Re: 13-tet minor / dim7th improvisation in Sitar -

Hi Paul,

> Wonderful chords and melodies, Robert!!! This is kind of an "evenning-
> out" of the 7-tone MOS described here:

> http://www.uq.net.au/~zzdkeena/Music/ChainOfMinor3rds.htm

So glad you like my 13-tet piece.

Interested in this connection with
one of Dave's lattices.

I can see how it would be a chain of minor
thirds:

0 3 6 9 12 15 18

reduced to octave =

0 2 3 5 6 9 12 13

Means it has the 13-tet diminished seventh with
four minor thirds
0 3 6 9 12

in three places.

and the one with three minor thirds and a major
third

0 3 6 9
in four places.

Out of thirteen possible such chords in the whole
of 13-tet.

In fact, 13-tet can be generated using minor thirds
I realise, indeed as it's a prime number n-tet, by
any interval that isn't a multiple of 13 steps.

So, one could make four copies of this scale that overlap with
each other to span all thirteen of the 13-tet dim7ths
(or five if you want the ones with four minor thirds).

Robert