Friday, April 29, 2016

The Twelve Tone Matrix Reloaded

Hey! This week we talked about a really useful (And fun) tool, the twelve tone matrix! As always, put your answers in the comments below or on the main video. Let's get started!

1) Let's start with the new notation. Below is a twelve-tone row, with standard note names below it. How would we write this row with our new numbering system?





2) Now let's get to the main attraction. It's matrix time! Make a matrix, using any row you want. If you can't think of one, try using the one from exercise 1. Or create your own, whichever you want! And now that you have the matrix done, why not try writing something with it if you feel up to it?

3) Let's talk about composition techniques. We covered a bunch of these in the video. Did any stand out as interesting to you? Were there any that seemed like something you'd want to try? Or did you think of any other techniques or tricks that we didn't mention? Let us know!

And that's it! See you next week!

2 comments:

  1. a quick way to generate a matrix in a spreadsheet that will update when you modify your prime row:
    1. type out first row, one number per cell
    2. calculate first inversion column by typing =12-B1, =12-C1, =12-D1, [...], =12-L1 into each cell (you can calculate it manually instead if you don't care about reusing the matrix)
    3. type or copy/paste =IF(B$1+$A2>11,B$1+$A2-12,B$1+$A2) into the first blank cell (should be B2)
    4. copy that cell and paste it over the rest of the empty cells (so the formula changes properly)
    5. you're done! change your top row and watch the matrix update

    matrix based on exercise 1, made in excel:
    0 4 7 1 11 6 10 8 2 5 9 3
    8 0 3 9 7 2 6 4 10 1 5 11
    5 9 0 6 4 11 3 1 7 10 2 8
    11 3 6 0 10 5 9 7 1 4 8 2
    1 5 8 2 0 7 11 9 3 6 10 4
    6 10 1 7 5 0 4 2 8 11 3 9
    2 6 9 3 1 8 0 10 4 7 11 5
    4 8 11 5 3 10 2 0 6 9 1 7
    10 2 5 11 9 4 8 6 0 3 7 1
    7 11 2 8 6 1 5 3 9 0 4 10
    3 7 10 4 2 9 1 11 5 8 0 6
    9 1 4 10 8 3 7 5 11 2 6 0

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  2. 0 8 5 11 1 6 2 4 10 7 3 9
    8 0 11 9 6 2 7 5 3 10 4 1
    5 11 0 4 10 7 1 3 9 6 2 8
    3 9 4 0 7 5 11 1 8 10 6 2
    1 6 10 8 0 11 9 7 5 3 2 4
    6 2 7 5 1 0 4 10 8 11 3 9
    2 7 1 3 9 4 0 6 10 5 8 11
    4 10 8 11 5 6 2 0 7 3 1 9
    10 5 6 2 8 3 4 11 0 9 7 1
    7 3 9 6 4 8 10 0 5 2 1 11
    11 4 3 10 2 1 8 9 6 7 5 0
    9 6 1 7 3 2 5 11 4 8 0 10

    ReplyDelete