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Hi,
This isn't really a tuning thing, but I wasn't sure where else to
post it. If anyone thinks of an interesting solution, love to hear it.

background:

I am concocting a "structured improvisation" work for 4 musicians
in and around one piano.

The piano itself is divided into 8 "regions" where the players can
improvise, like so:

______
|4 |
| |
| \
|3 \
| 5 \
|2 6 |
| |
|1 8 7 |
-----------

Positions 1 8 and 7 utilize the actual keyboard. 2-6 are "inside the
piano" operations.

The idea is that the players will, every so often in the piece, move from
one position to another.

The positions are set up so that, as you can see, 1 2 3 and 4 are likely
to give "low register" sounds, 5 and 8 "medium register" and 6 and 7
"high register."

What I would like to come up with is 4 strings of numbers, that would be
lists of positional movement for each player.

Hence if a player was given 1234567812345678 etc., he /she would be
circling around the instrument gradually through the piece.

Here are the constraints on these number-series:

1) They should be not-too-hard to memorize.
2) They should be somewhat interesting.
2.5) based on some sort of series or recognizable algorithm.
3) They need not relate to one another---i.e. I think it would
be more interesting if each series were based on a different principle.
4) They should be all the same length---about 20-24 or so.
5) somewhere around 4 from the end, there should "just so happen" to
be a "climax"---all the strings should converge on 6 (high regsiter,
inside piano.)
6) for the opening large section, 1 2 3 4 should predominate in all
voices.
for the middle section 5 8 should predominate.
for the last section, 6 7 should predominate. (wherein occurs that
6 conjunction.)
7) ideally, the piece should end with 1 2 3 4 or the like on the last
combination.

OK, here's a solution I came up with. I'm thinking maybe someone
around here could come up with something more interesting, but this gives
an idea:

3 2 3 2 3 2 1 4 1 4 1 4 5 8 5 8 5 8 7 6 7 6 7 6 3
4 2 4 5 3 5 6 4 6 7 5 7 8 8 7 5 7 6 4 6 5 3 5 4 2
1 8 7 6 5 4 3 2 2 3 4 5 6 7 8 1 1 8 7 6 5 4 3 2 2
4 1 1 4 4 1 4 8 8 5 8 8 5 5 8 5 6 6 7 6 6 7 7 6 7

One thing is that, all of the players change position at once, so
in order to keep the musical momentum going, it would be good if at least
1 or 2 of them only change +/-1 position, so they don't have to stop and
walk to a distant position, but instead can simply quickly shift over to
the next, "bridging the gap" musically as other players walk to more
distant places.

comments?

C Bailey