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

Step One: The Row The original row Schoenberg String Quartet No. 4 D, C#, A, A#, F, D#, E, C, G#, G, F#, B

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.

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 Original Row DC#AA#FD#ECG#GF#B

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

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

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.

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)

Step Three: The Matrix Finish first column

Step Three: The Matrix Add prime row 1 with inversion row 11 (11+1=12) (12=0)

Step Three: The Matrix Fill in Prime Row 2: Row that begins with a

Step Three: The Matrix Fill in Rest of Matrix

Step Three: The Matrix Fill in Rest of Matrix

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

Homework Answer E, F, G, C#, F#, D#, G#, D, B, C, A, Bb

How it applies E, F, G, C#, F#, D#, G#, D, B, C, A, Bb EFG9F# E26F10G E6118F7452G G46E527F F7E92856G4 F2410GE E6G4F2 2G5114F6E GEF89 457F6G8211E GEF 679G85104F211E

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.