Yahoo Tuning Groups Ultimate Backup makemicromusic 7 spheres of 7-tet

Hi Paul,

Yes, I expect it might be a good thing to post here too -
when we've worked on it a bit more perhaps.

To give the context, Bob Helshoot uses a method of
teaching composition in which one
explores the possible triads of 12-tet, each as a
separate sound world, treating triads as in the same
sphere if identical up to inversion etc, giving 12 spheres.

So anyway, there's a conversation going on in
posttonality and the idea we are explorign is of
using the same technique in 7-tet, and other low
number n-tets.

There are four triad spheres of 7-tet, or if one includes
the diads as separate spheres too, which seems appropriate
as they are quite complex satisfying intervals, that
makes seven.

I'll probably write some pieces in these seven spheres,
and then I'll post here about it.

Meanwhile you could go over to posttonality and
listen to the midi clips there in my e-mail (the Posttonality group
accepts attachments - they are quite rough especially
as I had to think about what I was doing while playing,
but they give an idea of what the spheres of 7-tet sound like.

Also you may like to listen to my little clip of a 7-tet
cadence using movement up / down by 11/9 approxmiations instead
of the 3/2s, and with the 7-tet approx. to 4/3 as a kind of
dominant 7th - the same sort of thing that I did in the
seven equal trio, but clearer probably.

I've uploaded it to the files area here.

/makemicromusic/files/Robert_Walker/7-tet%20cadences.mid

Robert

🔗paulerlich <paul@...>

--- In MakeMicroMusic@y..., "Robert Walker" <robertwalker@n...> wrote:
> Hi Paul,
>
> Yes, I expect it might be a good thing to post here too -
> when we've worked on it a bit more perhaps.
>
> To give the context, Bob Helshoot uses a method of
> teaching composition in which one
> explores the possible triads of 12-tet, each as a
> separate sound world, treating triads as in the same
> sphere if identical up to inversion etc, giving 12 spheres.

i don't get it. there would seem to be far more than 12 possible
triads. what's in the "etc."?
>
> I'll probably write some pieces in these seven spheres,
> and then I'll post here about it.

looking forward to it.

🔗Robert Walker <robertwalker@...>

Hi Paul,

Inversion + rotation + reflection.

E.g. there is one sphere for all the minor and major triads of 12-tet
in all their inversions.

Actually, I'm a bit confused here - it seems one can talk about the inversion
of a tune meaning you turn it upside down basically, reflect it, and the first, second
etc. inversions of a chord, as in 1st inversion = miss out the root note of the chord
and play it above the other notes transposed up in pitch.

So how would one talk about a reflected chord in its' second inversion? Is
there a musical term for that, or does one just call it the reflection?

Then you can rotate it to any position in the scale too.
I'm not explainign it very well, but Bob Helshoot explains it for 12-tet and
he has some example midi clips for the twelve spheres of 12-tet
in the Posttonality files area.

Robert

🔗paulerlich <paul@...>

--- In MakeMicroMusic@y..., "Robert Walker" <robertwalker@n...>
wrote:
> Hi Paul,
>
> Inversion + rotation + reflection.
>
> E.g. there is one sphere for all the minor and major triads of
12-tet
> in all their inversions.
>
> Actually, I'm a bit confused here - it seems one can talk about
the inversion
> of a tune meaning you turn it upside down basically, reflect it,
and the first, second
> etc. inversions of a chord, as in 1st inversion = miss out the
root note of the chord
> and play it above the other notes transposed up in pitch.
>
> So how would one talk about a reflected chord in its' second
inversion? Is
> there a musical term for that, or does one just call it the
reflection?

yes, inversion has two meanings in music i'm afraid. i suppose
using 'reflection' for one would help reduce ambiguity.