a 12 tone non-edo scale

ATTENTION::::: If anyone knows the name of this scale please get back to me.
Comments of any sort are welcome.

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

( If I did this right,) the scale is created by keeping all the white keys/notes the same
but lowering the black keys/notes by 39 cents.

Why even use this scale at all?

1) It has a number of chords (with perfect 5ths) that don't exist in 12 EDO.
2) It is very simple to play.

Just some of the chords available:

C major
C minor
C subminor
all the above with a Harmonic 7 th
{11 th harmonic also exists if tonic is C}

D semi-augmented minor (tonic @261)

F major
F subminor
the above with the 7th harmonic

F semi-augmented major (tonic @561)

G major
G subminor
{11 th harmonic exists if tonic is G}

All the above is correct I hope. I know there are other chords here, but this gives you
a general idea. Sadly, some common 12 EDO chords have been destroyed to create all the
new stuff. You had to expect that.

Regards,

Stephen Szpak

_________________________________________________________________
Take advantage of our limited-time introductory offer for dial-up Internet access. http://join.msn.com/?page=dept/dialup

--- 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.