1. “My music is not modern, it is merely badly played.” A. Schoenberg

2. Step One: The Row The original row Schoenberg String Quartet No. 4 http://www.youtube.com/watch?v=toyvffrYBkw D, C#, A, A#, F, D#, E, C, G#, G, F#, B

3. Step Two: The Clock Diagram One of the building blocks of a 12 tone matrix is a clock diagram. Looks like a clock but “0” instead of “12” Pitch Class: arranging pitches chromatically to give their number value. The first note of the tone row is designated 0. All numbers from 0 to 12 are used to refer to these classes. The D in the Schoenberg tone row would be “0”. From there move chromatically around the clock D# is 1, E is 2, etc.

4. Now take clock diagram ‘data’ and match each pitch in the original row with it’s corresponding number. This gives us our pitch classes. Pitch Class 01178312106549 Original Row DC#AA#FD#ECG#GF#B

5. Step Three: The Matrix Make a graph that is 12 boxes by 12 boxes

6. Step Three: The Matrix Input Original Row Pitch Classes into top row 01178312106549

7. Step Three: The Matrix 4 ways to read a matrix Prime Rows: Left to Right Inversion Rows: Top to Bottom Retrograde Rows: Right to Left Retrograde –Inversion Rows: Bottom to Top Notation Each row (columns are “rows” too) is called by which direction it moves and the clock number it begins with, not by the order it falls in the matrix Prime Row 10 may be the third row from the top in the matrix.

8. Step Three: The Matrix Now we must fill in the first column of the matrix Today’s magic number is 12 Going downwards (inversion), 0 is the first number of the first column Second number: take 2 nd number of original row and subtract from 12. (12 – 11 = 1) 01178312106549 1 5

9. Step Three: The Matrix Finish first column 01178312106549 1 5 4 9 11 10 2 6 7 8 3

10. Step Three: The Matrix Add prime row 1 with inversion row 11 (11+1=12) (12=0) 01178312106549 10894231176510 5 4 9 11 10 2 6 7 8 3

11. Step Three: The Matrix Fill in Prime Row 2: Row that begins with a 2 01178312106549 10894231176510 5 4 9 11 10 219 534087611 6 7 8 3

12. Step Three: The Matrix Fill in Rest of Matrix 01178312106549 10894231176510 5 4 9 11 10 219 534087611 6 7 8 3

13. Step Three: The Matrix Fill in Rest of Matrix 01178312106549 10894231176510 54018673111092 43110756210981 98450 1173216 106720195438 956111084327 21910534087611 651297840 103 7623 89510114 8734 91062105 32 1164519870

14. More Practice Original Row from Schoenberg’s Suite, Op. 25 E, F, G, C#, F#, D#, G#, D, B, C, A, Bb Create the Matrix on your own for homework

15. Homework Answer E, F, G, C#, F#, D#, G#, D, B, C, A, Bb 01392114107856 11028110396745 9 06118174523 34605271101189 10111709285634 12410305118967 89 5107063412 23511416091078 5682749301 11 45716382 0910 78 4961152301 67938510412110

16. How it applies E, F, G, C#, F#, D#, G#, D, B, C, A, Bb EFG9F#114107856 11E26F10G96745 9 E6118F7452G G46E527F101189 1011F7E92856G4 F2410GE5118967 89 5107E6G4F2 2G5114F6E91078 5682749GEF89 457F6G8211E78 78104961152GEF 679G85104F211E

17. The Project Create your own original row Create a matrix from this row. Create a matrix with note names. Write a piece for piano, or up to 3 instruments in this class, based on this matrix. (No more than 3 notes in a chord if writing for piano). At least 16 bars of 4/4 time Must use 3 different rows. All can NOT be prime. To turn in: Must use notation software Original Row and two matrices from above Music Diagramed explanation of which rows you used.