Tuba Sonata, opus 28
November 1985 Rev. 1994

This originally was a piece that explored the use of multi-phonics on the tuba in somewhat of a random way. After the revision, the randomness is all gone, and there are only a few multi-phonics left.
Theoretically, as usual scale created by a random throw of the I Ching are the foundation of each movement. Different scales are used for each movement. The rhythmic influence of the I Ching can be seen in places such as the opening where the left hand plays: ( -, -, -, +, +, + ), in the second movement where the opening combined rhythm is: ( -, -, +, -, +, - ). and the third movement where Measure 18 in the piano is ( +, -, -, +, +, - ). Most any six note rhythm would somehow relate to the particular hexagram being used. In my more recent works (1992), I am much more frugal in the use of different scales. Although I couldn't find my organization charts for the piece, by just looking at the rhythm patterns it is obvious that more than one hexagram is being used in each movement. Theoretically it doesn't stand up to my high Ideas of perfect symmetry, but it is a nice piece and I am proud of it even though it is so old.