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Scales of Wizard

🔗Gene Ward Smith <gwsmith@svpal.org>

4/5/2003 12:11:06 AM

Here are scales for wizard. Since the main interest I presume is using
it for 72-et, I've reduced everything using 72-et, which means
including 243/242. A poptimal generator however is found in the
310-et, in case some one cares.

Scales of Wizard

Wizard commas [225/224, 243/242, 385/384, 4000/3993]
72 et commas [225/224, 243/242, 385/384, 4000/3993]
Wedgie [12, -2, 20, -6, -31, -2, -51, 52, -7, -86]

Wizard[28]

Chromas 45/44, 49/48

72 et period [1, 3, 3, 3, 1, 3, 3, 3, 3, 1, 3, 3, 3, 3]

Scale
[1, 33/32, 35/33, 15/14, 11/10, 25/22, 7/6, 33/28, 40/33, 5/4, 9/7,
33/25, 4/3, 11/8, 99/70, 16/11, 3/2, 50/33, 14/9, 8/5, 33/20, 5/3,
12/7, 44/25, 20/11, 15/8, 66/35, 35/18]

[[35/33, 33/25, 33/20, 33/32, 9/7, 8/5, 1, 5/4, 14/9, 35/18, 40/33,
50/33, 66/35, 33/28], [3/2, 15/8, 7/6, 16/11, 20/11, 25/22, 99/70,
44/25, 11/10, 11/8, 12/7, 15/14, 4/3, 5/3]]

Circles of 5/4 generator

[1, 5/4, 22/15, 12/7] [1, 33/28, 22/15, 12/7]
[1, 5/4, 22/15, 12/7] [1, 33/28, 22/15, 12/7]
[1, 5/4, 22/15, 12/7] [1, 33/28, 22/15, 12/7]
[1, 5/4, 22/15, 12/7] [1, 33/28, 22/15, 12/7]
[1, 5/4, 22/15, 12/7] [1, 33/28, 22/15, 12/7]
[1, 5/4, 22/15, 12/7] [1, 33/28, 22/15, 12/7]
[1, 5/4, 3/2, 12/7] [1, 33/28, 3/2, 12/7]
[1, 5/4, 3/2, 12/7] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 12/7] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 12/7] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 7/4]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 7/4]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 7/4]
[1, 14/11, 3/2, 7/4] [1, 6/5, 3/2, 7/4]

[1, 44/35, 22/15, 44/25] [1, 8/7, 22/15, 5/3]
[1, 44/35, 22/15, 44/25] [1, 8/7, 22/15, 5/3]
[1, 9/7, 22/15, 44/25] [1, 8/7, 22/15, 5/3]
[1, 9/7, 22/15, 44/25] [1, 8/7, 22/15, 5/3]
[1, 9/7, 22/15, 44/25] [1, 7/6, 22/15, 5/3]
[1, 9/7, 22/15, 44/25] [1, 7/6, 22/15, 5/3]
[1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 5/3]
[1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 56/33]
[1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 56/33]
[1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 56/33]
[1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 56/33]
[1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 56/33]
[1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 56/33]
[1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 56/33]

[1, 8/7, 22/15, 12/7] [1, 11/8, 22/15, 12/7]
[1, 8/7, 22/15, 12/7] [1, 11/8, 22/15, 12/7]
[1, 8/7, 22/15, 12/7] [1, 11/8, 22/15, 12/7]
[1, 8/7, 22/15, 12/7] [1, 11/8, 22/15, 12/7]
[1, 7/6, 22/15, 12/7] [1, 11/8, 22/15, 12/7]
[1, 7/6, 22/15, 12/7] [1, 11/8, 22/15, 12/7]
[1, 7/6, 3/2, 12/7] [1, 11/8, 3/2, 12/7]
[1, 7/6, 3/2, 12/7] [1, 11/8, 3/2, 12/7]
[1, 7/6, 3/2, 12/7] [1, 11/8, 3/2, 12/7]
[1, 7/6, 3/2, 12/7] [1, 11/8, 3/2, 12/7]
[1, 7/6, 3/2, 7/4] [1, 11/8, 3/2, 7/4]
[1, 7/6, 3/2, 7/4] [1, 7/5, 3/2, 7/4]
[1, 7/6, 3/2, 7/4] [1, 7/5, 3/2, 7/4]
[1, 7/6, 3/2, 7/4] [1, 7/5, 3/2, 7/4]

Wizard[34]

Chroma 21/20

72 et period
[1, 3, 3, 1, 2, 1, 3, 3, 3, 1, 2, 1, 3, 3, 3, 1, 2]

Scale
[1, 33/32, 25/24, 35/33, 15/14, 11/10, 25/22, 7/6, 33/28, 6/5, 40/33,
5/4, 9/7, 33/25, 4/3, 15/11, 11/8, 99/70, 16/11, 22/15, 3/2, 50/33,
14/9, 8/5, 33/20, 5/3, 56/33, 12/7, 44/25, 20/11, 15/8, 66/35, 27/14,
35/18]

[[15/11, 56/33, 35/33, 33/25, 33/20, 33/32, 9/7, 8/5, 1, 5/4, 14/9,
35/18, 40/33, 50/33, 66/35, 33/28, 22/15], [27/14, 6/5, 3/2, 15/8,
7/6, 16/11, 20/11, 25/22, 99/70, 44/25, 11/10, 11/8, 12/7, 15/14, 4/3,
5/3, 25/24]]

Circles of 5/4 generator

[1, 5/4, 10/7, 5/3] [1, 8/7, 10/7, 12/7]
[1, 5/4, 10/7, 5/3] [1, 8/7, 10/7, 12/7]
[1, 5/4, 10/7, 5/3] [1, 8/7, 10/7, 12/7]
[1, 5/4, 10/7, 5/3] [1, 8/7, 10/7, 12/7]
[1, 5/4, 10/7, 5/3] [1, 8/7, 10/7, 12/7]
[1, 5/4, 10/7, 5/3] [1, 8/7, 10/7, 12/7]
[1, 5/4, 3/2, 5/3] [1, 8/7, 3/2, 12/7]
[1, 5/4, 3/2, 5/3] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 5/3] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 5/3] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 9/5]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 9/5]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 9/5]
[1, 21/16, 3/2, 7/4] [1, 6/5, 3/2, 9/5]

[1, 11/9, 10/7, 12/7] [1, 10/9, 10/7, 5/3] [1, 11/8, 10/7, 5/3]
[1, 11/9, 10/7, 12/7] [1, 10/9, 10/7, 5/3] [1, 11/8, 10/7, 5/3]
[1, 9/7, 10/7, 12/7] [1, 10/9, 10/7, 5/3] [1, 11/8, 10/7, 5/3]
[1, 9/7, 10/7, 12/7] [1, 10/9, 10/7, 5/3] [1, 11/8, 10/7, 5/3]
[1, 9/7, 10/7, 12/7] [1, 7/6, 10/7, 5/3] [1, 11/8, 10/7, 5/3]
[1, 9/7, 10/7, 12/7] [1, 7/6, 10/7, 5/3] [1, 11/8, 10/7, 5/3]
[1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 5/3] [1, 11/8, 3/2, 5/3]
[1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 5/3] [1, 11/8, 3/2, 5/3]
[1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 5/3] [1, 11/8, 3/2, 5/3]
[1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 5/3] [1, 11/8, 3/2, 5/3]
[1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 7/4] [1, 11/8, 3/2, 7/4]
[1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 7/4] [1, 11/8, 3/2, 7/4]
[1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 7/4] [1, 11/8, 3/2, 7/4]
[1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 7/4] [1, 11/8, 3/2, 7/4]
[1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 7/4] [1, 36/25, 3/2, 7/4]
[1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 7/4] [1, 36/25, 3/2, 7/4]
[1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 7/4] [1, 36/25, 3/2, 7/4]

Wizard[38]

Chroma 22/21

72-et period
[1, 3, 3, 1, 2, 1, 3, 3, 1, 2, 1, 2, 1, 3, 3, 1, 2, 1, 2]
Scale
[1, 33/32, 25/24, 35/33, 15/14, 12/11, 11/10, 25/22, 7/6, 33/28, 6/5,
40/33, 5/4, 9/7, 35/27, 33/25, 4/3, 15/11, 11/8, 99/70, 16/11, 22/15,
3/2, 50/33, 54/35, 14/9, 8/5, 33/20, 5/3, 56/33, 12/7, 44/25, 20/11,
11/6, 15/8, 66/35, 27/14, 35/18]

[[12/11, 15/11, 56/33, 35/33, 33/25, 33/20, 33/32, 9/7, 8/5, 1, 5/4,
14/9, 35/18, 40/33, 50/33, 66/35, 33/28, 22/15, 11/6], [54/35, 27/14,
6/5, 3/2, 15/8, 7/6, 16/11, 20/11, 25/22, 99/70, 44/25, 11/10, 11/8,
12/7, 15/14, 4/3, 5/3, 25/24, 35/27]]

Circles of 5/4 generator

[1, 5/4, 11/7, 11/6] [1, 44/35, 11/7, 12/7] [1, 5/4, 11/7, 11/6] [1,
44/35, 11/7, 12/7]
[1, 5/4, 11/7, 11/6] [1, 44/35, 11/7, 12/7]
[1, 5/4, 11/7, 11/6] [1, 44/35, 11/7, 12/7]
[1, 5/4, 11/7, 11/6] [1, 44/35, 11/7, 12/7]
[1, 5/4, 11/7, 11/6] [1, 44/35, 11/7, 12/7]
[1, 5/4, 11/7, 11/6] [1, 44/35, 11/7, 12/7]
[1, 5/4, 3/2, 11/6] [1, 44/35, 3/2, 12/7]
[1, 5/4, 3/2, 11/6] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 11/6] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 11/6] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 18/11]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 18/11]
[1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 18/11]
[1, 25/21, 3/2, 7/4] [1, 6/5, 3/2, 18/11]

[1, 27/20, 11/7, 66/35] [1, 11/9, 11/7, 5/3]
[1, 27/20, 11/7, 66/35] [1, 11/9, 11/7, 5/3]
[1, 9/7, 11/7, 66/35] [1, 11/9, 11/7, 5/3]
[1, 9/7, 11/7, 66/35] [1, 11/9, 11/7, 5/3]
[1, 9/7, 11/7, 66/35] [1, 7/6, 11/7, 5/3]
[1, 9/7, 11/7, 66/35] [1, 7/6, 11/7, 5/3]
[1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 5/3]
[1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 5/3]
[1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 5/3]
[1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 5/3]
[1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 5/3]
[1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 5/3]
[1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 35/22]
[1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 35/22]
[1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 35/22]
[1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 35/22]
[1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 35/22]
[1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 35/22]
[1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 35/22]

[1, 11/9, 11/7, 11/6] [1, 27/20, 11/7, 12/7]
[1, 11/9, 11/7, 11/6] [1, 27/20, 11/7, 12/7]
[1, 11/9, 11/7, 11/6] [1, 9/7, 11/7, 12/7]
[1, 11/9, 11/7, 11/6] [1, 9/7, 11/7, 12/7]
[1, 7/6, 11/7, 11/6] [1, 9/7, 11/7, 12/7]
[1, 7/6, 11/7, 11/6] [1, 9/7, 11/7, 12/7]
[1, 7/6, 3/2, 11/6] [1, 9/7, 3/2, 12/7]
[1, 7/6, 3/2, 11/6] [1, 9/7, 3/2, 12/7]
[1, 7/6, 3/2, 11/6] [1, 9/7, 3/2, 12/7]
[1, 7/6, 3/2, 11/6] [1, 9/7, 3/2, 12/7]
[1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 12/7]
[1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 12/7]
[1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 12/7]
[1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 12/7]
[1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 12/7]
[1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 18/11]
[1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 18/11]
[1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 18/11]
[1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 18/11]

🔗Joseph Pehrson <jpehrson@rcn.com>

4/5/2003 4:21:32 PM

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

/tuning-math/message/6168

wrote:
> Here are scales for wizard. Since the main interest I presume is
using
> it for 72-et, I've reduced everything using 72-et, which means
> including 243/242. A poptimal generator however is found in the
> 310-et, in case some one cares.
>
> Scales of Wizard
>
> Wizard commas [225/224, 243/242, 385/384, 4000/3993]
> 72 et commas [225/224, 243/242, 385/384, 4000/3993]
> Wedgie [12, -2, 20, -6, -31, -2, -51, 52, -7, -86]
>
>
> Wizard[28]
>
> Chromas 45/44, 49/48
>
> 72 et period [1, 3, 3, 3, 1, 3, 3, 3, 3, 1, 3, 3, 3, 3]
>
> Scale
> [1, 33/32, 35/33, 15/14, 11/10, 25/22, 7/6, 33/28, 40/33, 5/4, 9/7,
> 33/25, 4/3, 11/8, 99/70, 16/11, 3/2, 50/33, 14/9, 8/5, 33/20, 5/3,
> 12/7, 44/25, 20/11, 15/8, 66/35, 35/18]
>
> [[35/33, 33/25, 33/20, 33/32, 9/7, 8/5, 1, 5/4, 14/9, 35/18, 40/33,
> 50/33, 66/35, 33/28], [3/2, 15/8, 7/6, 16/11, 20/11, 25/22, 99/70,
> 44/25, 11/10, 11/8, 12/7, 15/14, 4/3, 5/3]]
>
> Circles of 5/4 generator
>
> [1, 5/4, 22/15, 12/7] [1, 33/28, 22/15, 12/7]
> [1, 5/4, 22/15, 12/7] [1, 33/28, 22/15, 12/7]
> [1, 5/4, 22/15, 12/7] [1, 33/28, 22/15, 12/7]
> [1, 5/4, 22/15, 12/7] [1, 33/28, 22/15, 12/7]
> [1, 5/4, 22/15, 12/7] [1, 33/28, 22/15, 12/7]
> [1, 5/4, 22/15, 12/7] [1, 33/28, 22/15, 12/7]
> [1, 5/4, 3/2, 12/7] [1, 33/28, 3/2, 12/7]
> [1, 5/4, 3/2, 12/7] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 12/7] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 12/7] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 7/4]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 7/4]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 7/4]
> [1, 14/11, 3/2, 7/4] [1, 6/5, 3/2, 7/4]
>
>
> [1, 44/35, 22/15, 44/25] [1, 8/7, 22/15, 5/3]
> [1, 44/35, 22/15, 44/25] [1, 8/7, 22/15, 5/3]
> [1, 9/7, 22/15, 44/25] [1, 8/7, 22/15, 5/3]
> [1, 9/7, 22/15, 44/25] [1, 8/7, 22/15, 5/3]
> [1, 9/7, 22/15, 44/25] [1, 7/6, 22/15, 5/3]
> [1, 9/7, 22/15, 44/25] [1, 7/6, 22/15, 5/3]
> [1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 5/3]
> [1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 56/33]
> [1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 56/33]
> [1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 56/33]
> [1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 56/33]
> [1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 56/33]
> [1, 9/7, 3/2, 44/25] [1, 7/6, 3/2, 56/33]
> [1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 56/33]
>
>
> [1, 8/7, 22/15, 12/7] [1, 11/8, 22/15, 12/7]
> [1, 8/7, 22/15, 12/7] [1, 11/8, 22/15, 12/7]
> [1, 8/7, 22/15, 12/7] [1, 11/8, 22/15, 12/7]
> [1, 8/7, 22/15, 12/7] [1, 11/8, 22/15, 12/7]
> [1, 7/6, 22/15, 12/7] [1, 11/8, 22/15, 12/7]
> [1, 7/6, 22/15, 12/7] [1, 11/8, 22/15, 12/7]
> [1, 7/6, 3/2, 12/7] [1, 11/8, 3/2, 12/7]
> [1, 7/6, 3/2, 12/7] [1, 11/8, 3/2, 12/7]
> [1, 7/6, 3/2, 12/7] [1, 11/8, 3/2, 12/7]
> [1, 7/6, 3/2, 12/7] [1, 11/8, 3/2, 12/7]
> [1, 7/6, 3/2, 7/4] [1, 11/8, 3/2, 7/4]
> [1, 7/6, 3/2, 7/4] [1, 7/5, 3/2, 7/4]
> [1, 7/6, 3/2, 7/4] [1, 7/5, 3/2, 7/4]
> [1, 7/6, 3/2, 7/4] [1, 7/5, 3/2, 7/4]
>
>
>
>
> Wizard[34]
>
> Chroma 21/20
>
> 72 et period
> [1, 3, 3, 1, 2, 1, 3, 3, 3, 1, 2, 1, 3, 3, 3, 1, 2]
>
> Scale
> [1, 33/32, 25/24, 35/33, 15/14, 11/10, 25/22, 7/6, 33/28, 6/5,
40/33,
> 5/4, 9/7, 33/25, 4/3, 15/11, 11/8, 99/70, 16/11, 22/15, 3/2, 50/33,
> 14/9, 8/5, 33/20, 5/3, 56/33, 12/7, 44/25, 20/11, 15/8, 66/35,
27/14,
> 35/18]
>
> [[15/11, 56/33, 35/33, 33/25, 33/20, 33/32, 9/7, 8/5, 1, 5/4, 14/9,
> 35/18, 40/33, 50/33, 66/35, 33/28, 22/15], [27/14, 6/5, 3/2, 15/8,
> 7/6, 16/11, 20/11, 25/22, 99/70, 44/25, 11/10, 11/8, 12/7, 15/14,
4/3,
> 5/3, 25/24]]
>
> Circles of 5/4 generator
>
> [1, 5/4, 10/7, 5/3] [1, 8/7, 10/7, 12/7]
> [1, 5/4, 10/7, 5/3] [1, 8/7, 10/7, 12/7]
> [1, 5/4, 10/7, 5/3] [1, 8/7, 10/7, 12/7]
> [1, 5/4, 10/7, 5/3] [1, 8/7, 10/7, 12/7]
> [1, 5/4, 10/7, 5/3] [1, 8/7, 10/7, 12/7]
> [1, 5/4, 10/7, 5/3] [1, 8/7, 10/7, 12/7]
> [1, 5/4, 3/2, 5/3] [1, 8/7, 3/2, 12/7]
> [1, 5/4, 3/2, 5/3] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 5/3] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 5/3] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 9/5]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 9/5]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 9/5]
> [1, 21/16, 3/2, 7/4] [1, 6/5, 3/2, 9/5]
>
>
> [1, 11/9, 10/7, 12/7] [1, 10/9, 10/7, 5/3] [1, 11/8, 10/7, 5/3]
> [1, 11/9, 10/7, 12/7] [1, 10/9, 10/7, 5/3] [1, 11/8, 10/7, 5/3]
> [1, 9/7, 10/7, 12/7] [1, 10/9, 10/7, 5/3] [1, 11/8, 10/7, 5/3]
> [1, 9/7, 10/7, 12/7] [1, 10/9, 10/7, 5/3] [1, 11/8, 10/7, 5/3]
> [1, 9/7, 10/7, 12/7] [1, 7/6, 10/7, 5/3] [1, 11/8, 10/7, 5/3]
> [1, 9/7, 10/7, 12/7] [1, 7/6, 10/7, 5/3] [1, 11/8, 10/7, 5/3]
> [1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 5/3] [1, 11/8, 3/2, 5/3]
> [1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 5/3] [1, 11/8, 3/2, 5/3]
> [1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 5/3] [1, 11/8, 3/2, 5/3]
> [1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 5/3] [1, 11/8, 3/2, 5/3]
> [1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 7/4] [1, 11/8, 3/2, 7/4]
> [1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 7/4] [1, 11/8, 3/2, 7/4]
> [1, 9/7, 3/2, 12/7] [1, 7/6, 3/2, 7/4] [1, 11/8, 3/2, 7/4]
> [1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 7/4] [1, 11/8, 3/2, 7/4]
> [1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 7/4] [1, 36/25, 3/2, 7/4]
> [1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 7/4] [1, 36/25, 3/2, 7/4]
> [1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 7/4] [1, 36/25, 3/2, 7/4]
>
>
>
>
>
> Wizard[38]
>
> Chroma 22/21
>
> 72-et period
> [1, 3, 3, 1, 2, 1, 3, 3, 1, 2, 1, 2, 1, 3, 3, 1, 2, 1, 2]
> Scale
> [1, 33/32, 25/24, 35/33, 15/14, 12/11, 11/10, 25/22, 7/6, 33/28,
6/5,
> 40/33, 5/4, 9/7, 35/27, 33/25, 4/3, 15/11, 11/8, 99/70, 16/11,
22/15,
> 3/2, 50/33, 54/35, 14/9, 8/5, 33/20, 5/3, 56/33, 12/7, 44/25, 20/11,
> 11/6, 15/8, 66/35, 27/14, 35/18]
>
> [[12/11, 15/11, 56/33, 35/33, 33/25, 33/20, 33/32, 9/7, 8/5, 1, 5/4,
> 14/9, 35/18, 40/33, 50/33, 66/35, 33/28, 22/15, 11/6], [54/35,
27/14,
> 6/5, 3/2, 15/8, 7/6, 16/11, 20/11, 25/22, 99/70, 44/25, 11/10, 11/8,
> 12/7, 15/14, 4/3, 5/3, 25/24, 35/27]]
>
> Circles of 5/4 generator
>
> [1, 5/4, 11/7, 11/6] [1, 44/35, 11/7, 12/7] [1, 5/4, 11/7, 11/6] [1,
> 44/35, 11/7, 12/7]
> [1, 5/4, 11/7, 11/6] [1, 44/35, 11/7, 12/7]
> [1, 5/4, 11/7, 11/6] [1, 44/35, 11/7, 12/7]
> [1, 5/4, 11/7, 11/6] [1, 44/35, 11/7, 12/7]
> [1, 5/4, 11/7, 11/6] [1, 44/35, 11/7, 12/7]
> [1, 5/4, 11/7, 11/6] [1, 44/35, 11/7, 12/7]
> [1, 5/4, 3/2, 11/6] [1, 44/35, 3/2, 12/7]
> [1, 5/4, 3/2, 11/6] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 11/6] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 11/6] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 12/7]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 18/11]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 18/11]
> [1, 5/4, 3/2, 7/4] [1, 6/5, 3/2, 18/11]
> [1, 25/21, 3/2, 7/4] [1, 6/5, 3/2, 18/11]
>
>
> [1, 27/20, 11/7, 66/35] [1, 11/9, 11/7, 5/3]
> [1, 27/20, 11/7, 66/35] [1, 11/9, 11/7, 5/3]
> [1, 9/7, 11/7, 66/35] [1, 11/9, 11/7, 5/3]
> [1, 9/7, 11/7, 66/35] [1, 11/9, 11/7, 5/3]
> [1, 9/7, 11/7, 66/35] [1, 7/6, 11/7, 5/3]
> [1, 9/7, 11/7, 66/35] [1, 7/6, 11/7, 5/3]
> [1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 5/3]
> [1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 5/3]
> [1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 5/3]
> [1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 5/3]
> [1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 5/3]
> [1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 5/3]
> [1, 9/7, 3/2, 66/35] [1, 7/6, 3/2, 35/22]
> [1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 35/22]
> [1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 35/22]
> [1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 35/22]
> [1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 35/22]
> [1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 35/22]
> [1, 9/7, 3/2, 9/5] [1, 7/6, 3/2, 35/22]
>
>
> [1, 11/9, 11/7, 11/6] [1, 27/20, 11/7, 12/7]
> [1, 11/9, 11/7, 11/6] [1, 27/20, 11/7, 12/7]
> [1, 11/9, 11/7, 11/6] [1, 9/7, 11/7, 12/7]
> [1, 11/9, 11/7, 11/6] [1, 9/7, 11/7, 12/7]
> [1, 7/6, 11/7, 11/6] [1, 9/7, 11/7, 12/7]
> [1, 7/6, 11/7, 11/6] [1, 9/7, 11/7, 12/7]
> [1, 7/6, 3/2, 11/6] [1, 9/7, 3/2, 12/7]
> [1, 7/6, 3/2, 11/6] [1, 9/7, 3/2, 12/7]
> [1, 7/6, 3/2, 11/6] [1, 9/7, 3/2, 12/7]
> [1, 7/6, 3/2, 11/6] [1, 9/7, 3/2, 12/7]
> [1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 12/7]
> [1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 12/7]
> [1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 12/7]
> [1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 12/7]
> [1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 12/7]
> [1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 18/11]
> [1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 18/11]
> [1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 18/11]
> [1, 7/6, 3/2, 7/4] [1, 9/7, 3/2, 18/11]

***Thanks, Gene... This looks promising...

J. Pehrson