Kleismic[19] from a "13" point of view

If you are like me, you've been ignoring the kleismic temperament
since it seems too closely wedded to the 5-limit. However, there's a
5-limit + 13 point of view which expands its possibilities quite a
bit. With a good 5-limit and a good 13, we can make use of the
8:10:13 chord as an alternative to 8:10:12, for an interesting effect.
These chords sound quite nice when well enough in tune.

Below I analyze the 19-tone kleismic scale, showing the kinds of
chords which turn up in it.

Comma basis [325/324, 625/624]

53-et version of MOS
[0, 3, 6, 8, 11, 14, 17, 20, 22, 25, 28, 31, 33, 36, 39, 42, 45, 47,
50, 53]

Steps
[3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3]

TM reduced MOS
[1, 25/24, 13/12, 10/9, 15/13, 6/5, 5/4, 13/10, 4/3, 18/13, 13/9, 3/2,
20/13, 8/5, 5/3, 26/15, 9/5, 24/13, 25/13, 2]

Steps
[25/24, 26/25, 40/39, 27/26, 26/25, 25/24, 26/25, 40/39, 27/26,
169/162, 27/26, 40/39, 26/25, 25/24, 26/25, 27/26, 40/39, 25/24, 26/25]

Triads by scale steps

[1, 5/4, 3/2] [1, 6/5, 3/2] [1, 5/4, 8/5] [1, 13/10, 8/5] [1, 13/10, 3/2]
[1, 5/4, 40/27] [1, 6/5, 40/27] [1, 5/4, 8/5] [1, 32/25, 8/5] [1,
32/25, 40/27]
[1, 16/13, 40/27] [1, 6/5, 40/27] [1, 16/13, 8/5] [1, 32/25, 8/5] [1,
32/25, 40/27]
[1, 5/4, 3/2] [1, 6/5, 3/2] [1, 5/4, 13/8] [1, 13/10, 13/8] [1, 13/10,
3/2]
[1, 5/4, 3/2] [1, 6/5, 3/2] [1, 5/4, 8/5] [1, 13/10, 8/5] [1, 13/10, 3/2]
[1, 5/4, 3/2] [1, 6/5, 3/2] [1, 5/4, 8/5] [1, 32/25, 8/5] [1, 32/25, 3/2]
[1, 16/13, 40/27] [1, 6/5, 40/27] [1, 16/13, 8/5] [1, 32/25, 8/5] [1,
32/25, 40/27]
[1, 16/13, 40/27] [1, 32/27, 40/27] [1, 16/13, 8/5] [1, 32/25, 8/5]
[1, 32/25, 40/27]
[1, 5/4, 3/2] [1, 6/5, 3/2] [1, 5/4, 13/8] [1, 13/10, 13/8] [1, 13/10,
3/2]
[1, 5/4, 3/2] [1, 6/5, 3/2] [1, 5/4, 8/5] [1, 13/10, 8/5] [1, 13/10, 3/2]
[1, 5/4, 3/2] [1, 6/5, 3/2] [1, 5/4, 8/5] [1, 32/25, 8/5] [1, 32/25, 3/2]
[1, 16/13, 40/27] [1, 6/5, 40/27] [1, 16/13, 8/5] [1, 32/25, 8/5] [1,
32/25, 40/47]
[1, 5/4, 3/2] [1, 6/5, 3/2] [1, 5/4, 13/8] [1, 13/10, 13/8] [1, 13/10,
3/2]
[1, 5/4, 3/2] [1, 6/5, 3/2] [1, 5/4, 13/8] [1, 13/10, 13/8] [1, 13/10,
3/2]
[1, 5/4, 3/2] [1, 6/5, 3/2] [1, 5/4, 8/5] [1, 13/10, 8/5] [1, 13/10, 3/2]
[1, 5/4, 3/2] [1, 6/5, 3/2] [1, 5/4, 8/5] [1, 32/25, 8/5] [1, 32/25, 3/2]
[1, 16/13, 40/27] [1, 6/5, 40/27] [1, 16/13, 8/5] [1, 32/25, 8/5] [1,
32/25, 40/47]
[1, 5/4, 3/2] [1, 6/5, 3/2] [1, 5/4, 13/8] [1, 13/10, 13/8] [1, 13/10,
3/2]
[1, 5/4, 3/2] [1, 6/5, 3/2] [1, 5/4, 8/5] [1, 13/10, 8/5] [1, 13/10, 3/2]

Diminished chord

[1, 6/5, 13/9, 26/15]
[1, 6/5, 13/9, 26/15]
[1, 6/5, 64/45, 128/75]
[1, 6/5, 13/9, 26/15]
[1, 6/5, 13/9, 26/15]
[1, 6/5, 13/9, 26/15]
[1, 6/5, 13/9, 26/15]
[1, 32/27, 64/45, 128/75]
[1, 6/5, 13/9, 26/15]
[1, 6/5, 13/9, 26/15]
[1, 6/5, 13/9, 26/15]
[1, 6/5, 13/9, 26/15]
[1, 6/5, 13/9, 26/15]
[1, 6/5, 13/9, 26/15]
[1, 6/5, 13/9, 26/15]
[1, 6/5, 13/9, 26/15]
[1, 6/5, 13/9, 128/75]
[1, 6/5, 13/9, 26/15]
[1, 6/5, 13/9, 26/15]