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Wendell Well, RI version

🔗Gene Ward Smith <gwsmith@svpal.org>

3/5/2003 12:35:18 AM

Anyone following these threads might want to either check my recent
posting on tuning-math, or simply contemplate the following scale, a
rational intonation version of Wendell Well loaded with exact beat ratios:

[1, 1215/1144, 321/286, 68187/57200, 180/143, 3823/2860, 405/286,
214/143, 22729/14300, 963/572, 5107/2860, 270/143]

🔗wallyesterpaulrus <wallyesterpaulrus@yahoo.com>

3/5/2003 12:42:41 AM

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
> Anyone following these threads might want to either check my recent
> posting on tuning-math, or simply contemplate the following scale, a
> rational intonation version of Wendell Well loaded with exact beat
ratios:
>
> [1, 1215/1144, 321/286, 68187/57200, 180/143, 3823/2860, 405/286,
> 214/143, 22729/14300, 963/572, 5107/2860, 270/143]

i get
0
104.24
199.87
304.18
398.38
502.43
602.29
697.91
802.22
901.82
1003.75
1100.33

do i have to rotate/reflect this to get bob's tuning?

🔗wallyesterpaulrus <wallyesterpaulrus@yahoo.com>

3/5/2003 12:47:18 AM

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
> Anyone following these threads might want to either check my recent
> posting on tuning-math, or simply contemplate the following scale, a
> rational intonation version of Wendell Well loaded with exact beat
ratios:
>
> [1, 1215/1144, 321/286, 68187/57200, 180/143, 3823/2860, 405/286,
> 214/143, 22729/14300, 963/572, 5107/2860, 270/143]

that would make it expressible as a harmonic-series chord as follows:

14300
15188
16050
17047
18000
19115
20250
21400
22729
24075
25535
27000

🔗Gene Ward Smith <gwsmith@svpal.org>

3/5/2003 7:28:43 PM

--- In tuning@yahoogroups.com, "wallyesterpaulrus"
<wallyesterpaulrus@y...> wrote:

> do i have to rotate/reflect this to get bob's tuning?

In Bob's order, the tuning is

[1, 1215/1144, 321/286, 68187/57200, 180/143, 3823/2860, 405/286,
214/143, 22729/14300, 963/572, 5107/2860, 270/143]

with circle of fifths

[214/143, 3/2, 3/2, 160/107, 3/2, 3/2, 3/2, 45458/30375, 3/2,
102140/68187, 7646/5107, 5720/3823]

and brats

[2, 3/2, 3/2, 2, 3/2, 3/2, 3/2, 2, 3/2, 580/293, 2, 2]