Going mail impaired bye! 10 note scales and MOS considerations (Jacky)

Earlier I said...

> Sure, the latest scale I was playing with at home was an expansion
> of the 31tet neutral diatonic to what I refer to as a "10.3",
> meaning a MOS that divides 10 notes into 3 chunks.
>
> 5 4 5 4 5 4 4
> 1 4 4 1 4 4 1 4 4 4 = sLLsLLsLLL

Now it is debatable whether the s in this case are really
scalar steps or other identities which occur from adding sharps
and flats to the original scale.

Other "10.3" variations that start from the premise of tuning
fifths are...

LssLssLsss with L~=260, s~=60 (it is a kind of neat feel
in a scale when the halfway
point alternates between
being a 3/2 or a 4/3).

(This is nicely represented in 60ED2.)

and

sLLsLLsLLL with s~=50, L~=150 (is this Grahams?)
and s~=82, L~=112

I wrote a program to do this, then found that the results
I liked usually matched those I could get by hand.

Note that I am always starting looking for lots of things
near to those low-numered-integers. Other people would/could
make completely different assumptions.

The reason I used ~= is that in the hand calculations I said
3/2=700c. Of course, depending on other concerns it may be
better to swing the intervals around a whole bunch of ways
from that starting point.

Bob Valentine