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Posted by 02 once the prime is set, then you invert it and write that inversion down from the first note of the prime. Okay so far? If you're using numbers, the inversion is 12-x, or, the inversion of 9 is 3, for example. If you're using pitches, the inversion is the note on the other side of the first note. If A=0, then the inversion of G# is A#. Once you have the prime and the inversion, then you can fill in the rest of the matrix by transposing the prime to the level of the next note in the inversion. Here's an example (I hope!): A G# B A# D F F# D# G C# C E That's the prime and inversion. Next, fill in the transpositions (the first transposition is prime up a half step: When you finish with the whole thing, you'll have all the transpositions of the prime, the inversion, and of course, the retrograde and the retrograde inversion (those last two are just the first two read backwards). Hope this helps. It's pretty simple once you make one yourself. It might seem like a lot in a message like this.
on 3/29/2004, 1:35 pm, in reply to "Matrix????"
207.126.80.76
A matrix is a handy way to lay out the various forms of a 12-tone row. Usually, the top row is the prime, and usually you would number the first note 0 and the other notes according to their relationship to the first note (like you did in your A=0 F#=9). If you're using numbers instead of the pitches in your matrix, then you'll be able to do the inversions and transpositions mathematically (mod 12). I don't use numbers, but that's just a personal choice.
A#
G
G#
E
C#
C
D#
B
F
F#
D
A G# B A# D F F# D# G C# C E
A# A C B D# F# G E G# D C# F
G
G#
E
C#
C
D#
B
F
F#
D
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