RE: RE: reverse tempering and shuffling linear temperame nts

I wrote,

>>One thing your example reminds me of is Andrzej Gawel's 19-of-36-tET
scale.
>>Gawel ingeniously took the 7-of-12-tET diatonic scale and divided each of
>>the six instances of the generator, 7/12 oct. = 19/12 oct., into a chain
of
>>three sub-generators, 19/36 oct., allowing all six of the ordinary
diatonic
>>triads to be completed as 7-limit tetrads, and in fact the scale has 14
>>7-limit tetrads.

Carl Lumma wrote,

>Wow. Paul, is this right?
>0 4 5 6 7 11 12 13 14 18 19 20 21 26 27 28 33 34 35

No, it's

0 2 4 6 8 10 12 14 16 18 19 21 23
25 27 29 31 33 35

>Only contains a single diatonic scale, and it's too big to be a generalized
>diatonic in its own right. How do the tetrads look on the lattice?

I'll leave that as an exercise for the reader.