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nonoctave ET w/symmetry (13th root of 7:5 variant)

🔗J Scott <xjscott@earthlink.net>

3/18/2001 5:51:23 PM

Hi Jacky and all:

Before I post my next nonoctave ET scale, here is a
mutation of my last scale, said mutation obviously
inspired by Jacky.

Instead of taking 7:5 and dividing it by [4,1,1,1,4,2],

Take (7:5)^2 = 49:25 and divide it by:
[4,1,1,1,4,2,2,4,1,1,1,4]

Thus giving an equal tempered just tritone
symmetrical scale. (BTW, Jacky, I am awaiting
your tritone ET scale -- I would love to see it.)

This symmetrical tuning I played with today on piano and
it seems more conventional than the first. Seems there are
more familiar harmonies. The melodic motion is more, mmm,
lyrical. It is not jazzy at all like the first one.
It's interesting to me how totally different it is, though
of course major and minor are inversions of each other and
they sound totally different too. One reason I think it's
more conventional sounding is that it has quite a few more
(about twice?) of those 27 step 1210 step octaves that
David brought up.

(As an aside, one of my numerous recent experiments
spurred by Jacky's theories lately was to stapled major on
top of minor to create a two-octave symmetrical scale &
also cut out the middle, make them overlap. Was
interesting but I think such major/minor scales will
probably just be novelties for me.)

I recorded a tune using the 49:25 ET scale and
then played it back with its JI sister scale
(in differential notation):

10:9,36:35,49:48,36:35,10:9,21:20,
21:20,10:9,36:35,49:48,36:35,10:9

... and that worked fine too, though I think I have a
personal preference for the sound of the ET version,
especially melody-wise.

Hm, I just retuned it to the original nonsymmetrical scale
and played the same song which is kind of silly since it's
not the same tuning at all. Hey, waw! I definately like
the greater dissonance aand shimmer I get in the
nonsymmetrical version better -- it 'activates' more
feelings it seems, if that makes any sense. It's more
intense. It's got more going. (I'm describing what I'm
hearing right now.) ... Man, I think it's those dang
octave-like intervals. They just drag stuff down. It's
like a giant short circuit in the tuning. Well, I guess
I have stopped writing a post and started talking to
myself. I apologize if this got too dull and personal.

- Jeff