Olibanum(15-tet)

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

This is a melancholy tune in 15 equal,and there is no distinct fixed scale structure for it.Just a bunch of 5 and 7-limit approximations,with great use of the inconsistencies and commatic shifts.Comments please!

-=-=-=-=-=-=-
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/olibanum.mid
>
> This is a melancholy tune in 15 equal,and there is no distinct
fixed scale
> structure for it. Just a bunch of 5 and 7-limit approximations,

Were you perhaps unknowingly drawn to the symmetrical 10-tone scale
(LsLsLsLsLs)? Lots of the 5- and 7-limit chords in there.

with great use
> of the inconsistencies

15-tET is consistent through the 7-limit. Perhaps you mean the 9-
limit inconsistencies?

>and commatic shifts.Comments please!

I only wish I could hear it. Still no speakers.

--- In tuning@y..., "Mats Öljare" <oljare@h...> wrote:
> http://www.angelfire.com/mo/oljare/images/olibanum.mid
>
> This is a melancholy tune in 15 equal,and there is no distinct fixed
scale
> structure for it.Just a bunch of 5 and 7-limit approximations,with
great use
> of the inconsistencies and commatic shifts.Comments please!

Very interesting.

Are there any 15-EDO pitch classes that you didn't use in the piece?
If there is more than one, are they perhaps 2 steps apart? If so, the
same piece might work in 22-EDO as well and I could give you the
mapping.

There is a 7-limit linear temperament that both 15 and 22-EDO partake
of, with a wide-neutral-second generator of about 162.4 to 162.7 cents
optimum.

Prime No. Generators
----- --------------
3 -3
5 -5
7 6

This temperament has a 7 note proper MOS.

Regards,
-- Dave Keenan