Wendell's Wells

Here they are, presented in what to me is a more digestible form; I
list the size of fifth around a circle of fifths (in Bob's tuning, the
A), followed by the corresponding major third (four fifths in
succession, minus 2400 cents) and the brat computed from these.

Natural Well

697.923000 398.411000 1.997623

701.955000 402.443000 1.500000

701.955000 402.443000 1.500000

696.578000 402.443000 1.996955

701.955000 403.877000 1.500000

701.955000 403.877000 1.500000

701.955000 401.414000 1.500000

698.012000 398.138000 1.997926

701.955000 397.712000 1.500000

699.492000 393.680000 2.000120

698.679000 396.143000 1.998046

697.586000 399.419000 1.997547

Mild Well

698.354600 399.172000 1.918017

701.955400 402.772400 1.499964

701.955000 402.772000 1.500000

696.907000 402.772000 1.957222

701.955000 403.514000 1.500000

701.955000 403.114000 1.500000

701.955000 401.217000 1.500000

697.649000 398.001000 2.050104

701.555000 397.314000 1.554365

700.058000 394.113600 1.863793

698.739000 396.011000 1.995607

696.962000 399.227000 2.076991

Natural Well has six pure fifths and six tempered fifths, but not
divided six and six, but with pattern PPTPPPTPTTTT. The temperings are
chosen to make the brats either 2 or 3/2.

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
> Here they are, presented in what to me is a more digestible form; I
> list the size of fifth around a circle of fifths (in Bob's tuning,
the
> A), followed by the corresponding major third (four fifths in
> succession, minus 2400 cents) and the brat computed from these.
>
>
> Natural Well
>
>
> 697.923000 398.411000 1.997623
>
> 701.955000 402.443000 1.500000
>
> 701.955000 402.443000 1.500000
>
> 696.578000 402.443000 1.996955
>
> 701.955000 403.877000 1.500000
>
> 701.955000 403.877000 1.500000
>
> 701.955000 401.414000 1.500000
>
> 698.012000 398.138000 1.997926
>
> 701.955000 397.712000 1.500000
>
> 699.492000 393.680000 2.000120
>
> 698.679000 396.143000 1.998046
>
> 697.586000 399.419000 1.997547
>
>
> Mild Well
>
>
> 698.354600 399.172000 1.918017
>
> 701.955400 402.772400 1.499964
>
> 701.955000 402.772000 1.500000
>
> 696.907000 402.772000 1.957222
>
> 701.955000 403.514000 1.500000
>
> 701.955000 403.114000 1.500000
>
> 701.955000 401.217000 1.500000
>
> 697.649000 398.001000 2.050104
>
> 701.555000 397.314000 1.554365
>
> 700.058000 394.113600 1.863793
>
> 698.739000 396.011000 1.995607
>
> 696.962000 399.227000 2.076991
>
>
> Natural Well has six pure fifths and six tempered fifths, but not
> divided six and six, but with pattern PPTPPPTPTTTT. The temperings
are
> chosen to make the brats either 2 or 3/2.

Bob:
Yes, exactly! I have Excel spread sheets with all this and more and
you're right on the mark, Gene. However, you could never arrive this
by trial and error using a spread sheet. I didn't use the
spreadsheets till after the design was complete.