7 spheres of 7-tet - first try at some midi examples

Hi Bob,

Yes, the 1 is about a whole tone.

It's like a diatonic scale with the semitones stretched
and the tones contracted to be all the same size.

Each step is 171.429 cents compared with the 200 cents of a
whole tone.

It has a neutral third, i.e. between major and minor, very close
to the consonance 11/9, while the fifth is beating at 16 cents flat
and so doesn't feel much like a resolution. I tend to resolve to
the neutral thirds instead.

However you can get quite astonishingly convincing cadences
in 7-tet using movement up and down by neutral thirds in the
place of fifths. Kind of classical feel to it.

I do that in my 7 equal trio in one of the movements, but
here is a better example (attached)

Also includes example of a 7-tet fourth used as a slight
dissonance (sort of like a dominant seventh)
rather than a point of relative rest. All diads.

Also thought I'd have a go at the spheres. Calling the three diads
spheres as well gives us seven 7-tet spheres. I may have a go at
writing pieces in them some time, but meanwhile here is a rough
attempt so that one can hear what they sound like. Playing is quite
slow as at present, I have to think about what one can and can't
play in each sphere!

Attached - 7-tet cadences, and seven 7-tet spheres.

I think this is going to be a pretty useful technique actually
for learning n-tets for small n.

I feel already that they are distinct sound worlds

Sphere 5 is the diad with the 11/9 and sphere 7 is the one
with the flat fifth / sharp fourth, with lots of beating.

Robert

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