Some alternate mappings for seven note 34e scales with two step sizes

[John A. deLaubenfels:]
>I amused myself by working out the math for 34-tET (no logs, just
dividing 1200 cents by 34 and getting just under 35.3 cents per
microtone. Not a meantone scale: C to D is 6 steps; D to E is 5.

I've used some alternate mappings for seven note 34e scales with two
step sizes (L&s) in the past. Six large and one small where L=5 & s=4
was one:

0, (141) 176, (318) 353, (494) 529, (671) 706, (847) 882, (1024) 1059,
1200

0 5 10 15 20 25 30 34
0 5 10 15 20 25 29 34
0 5 10 15 20 24 29 34
0 5 10 15 19 24 29 34
0 5 10 14 19 24 29 34
0 5 9 14 19 24 29 34
0 4 9 14 19 24 29 34
0 5 10 15 20 25 30 34

Using this same 'periodic table' method, you could also create these
two step size seven note scales in 34e...

3x4 @:L=6 s=4

0, 141 (212), (282) 353, 494 (565), (635) 706, 847 (918), (988) 1059,
1200

0 4 10 14 20 24 30 34
0 6 10 16 20 26 30 34
0 4 10 14 20 24 28 34
0 6 10 16 20 24 30 34
0 4 10 14 18 24 28 34
0 6 10 14 20 24 30 34
0 4 8 14 18 24 28 34
0 4 10 14 20 24 30 34

5x2 @:L=6 s=2

0, (71) 212, (282) 424, 494 (635), (565) 706, (776) 918, 1129 (988),
1200

0 6 12 14 20 26 32 34
0 6 8 14 20 26 28 34
0 2 8 14 20 22 28 34
0 6 12 18 20 26 32 34
0 6 12 14 20 26 28 34
0 6 8 14 20 22 28 34
0 2 8 14 16 22 28 34
0 6 12 14 20 26 32 34

2x5 @:L=2 s=5

0, 141 (247), 282 (388), (424) 529, 671 (776), 812 (918), (953) 1059,
1200

0 4 8 15 19 23 30 34
0 4 11 15 19 26 30 34
0 7 11 15 22 26 30 34
0 4 8 15 19 23 27 34
0 4 11 15 19 23 30 34
0 7 11 15 19 26 30 34
0 4 8 12 19 23 27 34
0 4 8 15 19 23 30 34

4x3 @:L=7 s=2

0, (71) 247, 318 (494), (388) 565, 635 (812), (706) 882, (953) 1129,
1200

0 7 9 16 18 25 32 34
0 2 9 11 18 25 27 34
0 7 9 16 23 25 32 34
0 2 9 16 18 25 27 34
0 7 14 16 23 25 32 34
0 7 9 16 18 25 27 34
0 2 9 11 18 20 27 34
0 7 9 16 18 25 32 34

1x6 @:L=10 s=4

0, 141 (353), 282 (494), 424 (635), 565 (776), 706 (918), (847) 1059,
1200

0 4 8 12 16 20 30 34
0 4 8 12 16 26 30 34
0 4 8 12 22 26 30 34
0 4 8 18 22 26 30 34
0 4 14 18 22 26 30 34
0 10 14 18 22 26 30 34
0 4 8 12 16 20 24 34
0 4 8 12 16 20 30 34

While a few of these (1x6 & 4x3) are obviously very irregularly
proportioned, and while I wouldn't expect any of them to satisfy
someone whose tuning interest are primarily 'meantonesque...' I
thought I'd throw them out there anyway, as they do at least attempt
show some two step size seven note scale alternative mappings in 34e.

Dan

2x5 @:L=2 s=5 etc., should read: 2x5 @: L=7 s=4.