24TET

One of the most important scales i�ve discovered in 24TET is a 10-note symmetrical structure,in a way a 3/2 pentatonic"compressed"to fit the half octave rather than the octave.

sLssLsLssL

I have not yet finished a composition in this scale,but i have done this in an"altered symmetrical"mode of it.That is,"altered symmetrical"means the alteration affects the symmetry,so the scale is no longer symmetrical at the half-octave:

sLsLssLssL

This has a strong parallel to the 22-tet decatonic system,which is also symmetrical and with the"altered symmetrical"mode being the main harmonic form.However they are very different musically-22TET diatonic approximating the 3,5 and 7 limits well while the 24TET scale only includes 3/2's along with a number of approximations to higher-limit intervals such as 11,13 and 17(no 19,although this is also well approximated in 24TET).To some extent,it can be said to approximate 9 and 15 in some places.

http://www.angelfire.com/mo/oljare/images/sounddec.mid

The piece strictly keeps to this 10-note set,allowing a great deal of quasi-chromatics through the small intervals.The middle part is however transposed by half an octave,thus exchanging the"3-groups"and"2-groups"of small steps.

-=-=-=-=-=-=-
MATS �LJARE
http://www.angelfire.com/mo/oljare
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--- In tuning@y..., "Mats Öljare" <oljare@h...> wrote:
>
> http://www.angelfire.com/mo/oljare/images/sounddec.mid
>
> The piece strictly keeps to this 10-note set,allowing a great deal of
> quasi-chromatics through the small intervals.The middle part is however
> transposed by half an octave,thus exchanging the"3-groups"and"2-groups"of=

> small steps.

Sounds really cool, and I'll listen to it when I have a chance (not often t=
hese days, having been
deprived of speakers in the office). Your last piece in the chain-of-minor-=
thirds scale was very
intriguing! Keep up the good work! (By the way, that first, symmetrical sca=
le you mentioned was
actually patented by someone -- John Chalmers told me that once -- in the m=
ode sLsLssLsLs).