Fwd: Re: a 12 tone non-edo scale

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
--- In tuning@yahoogroups.com, "Stephen Szpak" <stephen_szpak@h...> wrote:
>
> ATTENTION::::: If anyone knows the name of this scale please get
back to
>me.
> Comments of any sort are welcome.

There's nothing much like it in Scala's scale listing.

>
> 0-61-200-261-400-500-561-700-761-900-961-1100-1200

Here are chords going around the circle of fifths; the first column
are major thirds, the third column fifths, and the fourth column
sevenths. The second column is the minor third from the major third to
the fifth.

[400, 300, 700, 1039]
[439, 261, 700, 1039]
[439, 261, 700, 1000]
[439, 261, 700, 1000]
[439, 300, 739, 1000]
[400, 300, 700, 961]
[400, 300, 700, 961]
[400, 300, 700, 1000]
[361, 339, 700, 1000]
[361, 339, 700, 1000]
[361, 339, 700, 1000]
[361, 300, 661, 1000]

We have three 12-equal triads in a row, with two of them having an
improved value for the seventh. This is followed by three triads where
the major and minor thirds are of an intermediate size, and then a
wolf flat fifth chord. Following that is another 12-equal triad, with
a sharp seventh, and then a supermajor triad/tetrad, the seventh of
which is sharp if it is supposed to be a 9/5, and is more plausible as
a 20/11. We have two more supermajor triads with 12-et 1000-cent
sevenths to go with them, and the whole thing wraps itself up with
another wolf fifth, the 439-300-739 chord can be taken as a "ratwolf"
351/350-magic triad of sorts. If we knew what intervals you wanted it
would be possible to optimize this.

STEPHEN SZPAK RESPONDS:::::::

The analysis will take me some time to digest.(Hope I
don't get a stomachache.) I suppose this could be changed.
Maybe I will do that. This version will be the first one
for sure. The more changes that are made the more
difficult it is to remember what you got. One reason this
exists is for its simplicity. Not just for me but for others
to try if they want.

--- End forwarded message ---

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