shuffled mos

So say you take the usual 5L+2s diatonic mess but you shuffle up the steps a bit so
that it's LLLLsLs (Ab Bb C D E F G). This is incidentally a mode of 'melodic minor
ascending,' but the question is: can you get this sort of thing to arise any other way
than shuffling the steps of an existing MOS? Is there a way to categorize all of the
permutations of step sizes?

With only 2 s's it's a simple matter because they split the L's up into big lumps of
proportions (or do I mean intervals? muwahahaha) of 5:0 [LLLLLss], 4:1 [see above],
or 3:2 [the usual diatonic].

It's real easy to shuffle around the L's and s's when your MOS is in an ET's territory;
but otherwise, you might get some real mutants...

Jacob

--- In tuning@yahoogroups.com, "Jacob" <jbarton@r...> wrote:

> So say you take the usual 5L+2s diatonic mess but you shuffle up the
steps a bit so
> that it's LLLLsLs (Ab Bb C D E F G). This is incidentally a mode of
'melodic minor
> ascending,' but the question is: can you get this sort of thing to
arise any other way
> than shuffling the steps of an existing MOS?

I've a lot of scale formation by permuting steps on tuning-math, both
tempered and non-tempered. You don't need a MOS, though those are good
for getting two sizes of steps.

Is there a way to categorize all of the
> permutations of step sizes?

I'm not sure what you are asking. If you start permuting steps, you
need a way of evaluating your results; I did counts of intervals and
chords for that, mostly.

> It's real easy to shuffle around the L's and s's when your MOS is in
an ET's territory;
> but otherwise, you might get some real mutants...

There's another game you can play with MOS I call modmos, where the
generator set reduces to a MOS chain of an n-note MOS modulo n. All of
this, of course, has been more on tuning-math that here, though I've
presented enough mutant scales here.