An Example of Generating an Array from a Small Set

I begin with this set:

64170

I want to get a big ugly rectangular block, from which we'll swap and try to create something more interesting. The set has only 1 major third in it, so transposing it by that interval (twice) (thus cycling the set through an augmented triad (major third + major third + major third) gives us lots of new pitches (only 1 duplicate each time).

64170
a85b4
20938

For each one of those 3 sets, I generate a retrograde form, and generate an inversion form that involves no duplicates (inverting 64170 to 35829 generates no duplicates), and generate a retrograde from that. (i.e. an RI of the original).

So I end up with a 12-line block:

then I swap to get 01467 "verticals":

		6	4				1 7					0
	3				5 8		2	2	2			9
	0			7 1	4	6
	9 2					8 5	5					3
a			8					5	b	4	4
		7 9				0 6			1		1
4			b 5				8	8	8	a	a
				1 6 0				9	7
2		0						9		3		8
b		1		4	a						5
	8							3		9 0		2
5			a 4	1	b	b					b

This looks very. . . .um. . ."harmonic" or "vertical", but it could form the basis of a single line, if you wanted(!) It's all in the interpretation. For example, it could be for solo violin: the first four lines could be arco normale in 4 different dynamics; the next 4 lines could be pizz in 4 different dynamics; the next 4 for, say, molto sul pont in 4 different dynamics.

To make some decent music out of that would be a challenge, but that's where it gets fun. . . . (Notice, register and rhythm are not specified at all, so you are free to use your intuition on those scores. . . )