A few years ago my teacher had me playing around with pitch-class sets. I suspect I missed the a lot of the theoretical significance, but it seemed like a handy way to organize a cell of notes - horizontally or vertically - without need for harmonic implications. I'm sure the interval vector has value beyond measuring "how interesting" a specific pitch-class set is but I never got into it. And I'm sure analyzing the sequence of applied transformations provides some kind of useful information but I've always been guilty of relying on my ears instead. And I never understood the musical significance of the Forte numbers even in those rare cases when I

*know* the Forte number.

I wrote a set of 4 piano pieces using the pitch-class set [0,1,3,4,8]. (I know that 3 and 4 note sets are more typical.) For anybody that really cares, that's the Forte number 5-z17 (according to Wikipedia). I've unfortunately lost all my notes (so to speak) on those pieces.

Since I am basically a tonal composer I then took the very tonal pitch-class set [0,2,5,8] and wrote a couple pieces. If I did my homework correctly, [0,2,5,8] is the "best normal order" for a diminished 7 chord so I called these "Diminished Expectations" or in full "Amber Sets of Diminished Expectations" (because amber is fossilized pitch). The pieces are for vibraphone, bassoon, bongos, and conga drums.

https://app.box.com/s/q5sshuir9a7ztj73d8ndohg275uz9k03Some day I will rewrite the 2nd and complete the collection with a 3rd piece.