The five 128/125 250/243 Fokker blocks

[1, 25/24, 10/9, 9/8, 6/5, 5/4, 4/3, 25/18, 36/25, 3/2, 25/16, 5/3,
125/72, 9/5, 15/8]
[25/24, 16/15, 81/80, 16/15, 25/24, 16/15, 25/24, 648/625, 25/24,
25/24, 16/15, 25/24,
648/625, 25/24, 16/15]

[1, 25/24, 27/25, 9/8, 6/5, 5/4, 4/3, 27/20, 36/25, 3/2, 8/5, 5/3,
27/16, 9/5, 15/8]
[25/24, 648/625, 25/24, 16/15, 25/24, 16/15, 81/80, 16/15, 25/24,
16/15, 25/24, 81/80,
16/15, 25/24, 16/15]

[1, 25/24, 10/9, 9/8, 6/5, 5/4, 4/3, 25/18, 36/25, 3/2, 8/5, 5/3,
16/9, 9/5, 15/8]
[25/24, 16/15, 81/80, 16/15, 25/24, 16/15, 25/24, 648/625, 25/24,
16/15, 25/24, 16/15,
81/80, 25/24, 16/15]

[1, 25/24, 27/25, 9/8, 6/5, 5/4, 4/3, 27/20, 36/25, 3/2, 25/16, 5/3,
27/16, 9/5, 15/8]
[25/24, 648/625, 25/24, 16/15, 25/24, 16/15, 81/80, 16/15, 25/24,
25/24, 16/15, 81/80,
16/15, 25/24, 16/15]

[1, 25/24, 27/25, 9/8, 6/5, 5/4, 125/96, 27/20, 45/32, 3/2, 25/16,
5/3, 27/16, 9/5, 15/8]
[25/24, 648/625, 25/24, 16/15, 25/24, 25/24, 648/625, 25/24, 16/15,
25/24, 16/15, 81/80,
16/15, 25/24, 16/15]

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:

Of these five scales, all benefit from tempering by 225/224, and the
first and last by tempering by 15625/15552 as well, from whence they
get an extra minor third. These together produce hanson/catakleismic,
and I list them in terms of (minor third) generators of below.

> [1, 25/24, 10/9, 9/8, 6/5, 5/4, 4/3, 25/18, 36/25, 3/2, 25/16, 5/3,
> 125/72, 9/5, 15/8]

[-7, -6, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 10, 11, 12]

> [1, 25/24, 27/25, 9/8, 6/5, 5/4, 4/3, 27/20, 36/25, 3/2, 8/5, 5/3,
> 27/16, 9/5, 15/8]

[-6, -5, -1, 0, 1, 2, 4, 5, 6, 7, 8, 11, 12, 13, 18]

> [1, 25/24, 10/9, 9/8, 6/5, 5/4, 4/3, 25/18, 36/25, 3/2, 8/5, 5/3,
> 16/9, 9/5, 15/8]

[-12, -7, -6, -5, -2, -1, 0, 1, 2, 4, 5, 6, 7, 11, 12]

> [1, 25/24, 27/25, 9/8, 6/5, 5/4, 4/3, 27/20, 36/25, 3/2, 25/16, 5/3,
> 27/16, 9/5, 15/8]

[-6, -1, 0, 1, 2, 4, 5, 6, 7, 8, 10, 11, 12, 13, 18]

> [1, 25/24, 27/25, 9/8, 6/5, 5/4, 125/96, 27/20, 45/32, 3/2, 25/16,
> 5/3, 27/16, 9/5, 15/8]

[-1, 0, 1, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 17, 18]