Bi-Directional Just Intonation Tuning #1:

I just wanted to post the general constraints I'll be using
for the first bi-directional just intonation tuning I'm designing:

1. I'll be using the 8,9,10,11,12,13 section of the harmonic series
"as-is" as a "block" of intervals for simplicity.

2. Placing that series of intervals ascending from C1 and descending
from C2 will only result in 11 pitch classes ( I think! :) ), so I will
also insert a
12EDO tritone to bring the pitch class total up to 12. This will
probably be a general principle of construction for tunings of an equal
number of pitch classes.

Bill Flavell

> I just wanted to post the general constraints I'll be using
> for the first bi-directional just intonation tuning I'm designing:
>
> 1. I'll be using the 8,9,10,11,12,13 section of the harmonic series
> "as-is" as a "block" of intervals for simplicity.
>
> 2. Placing that series of intervals ascending from C1 and descending
> from C2 will only result in 11 pitch classes ( I think! :) ), so I
> will also insert a 12EDO tritone to bring the pitch class total up
> to 12. This will probably be a general principle of construction for
> tunings of an equal number of pitch classes.

In Scala...

!
notes go here
12
!
9/8
5/4
16/13
11/8
600.0
16/11
3/2
13/8
8/5
16/9
2/1
!

(Hint hint... I'm trying to convince you to post your
creations in Scala format. You can make them in Scala,
or just write them by hand as I do.)

Here's something to think about: This is "bi-directional"
in the mode above, but not in other modes (such as the
one starting on 9/8).

-Carl