ABSTRACT

Applying the automorphism (0 1 2 3 4 5 6 7 8 9 a)(b) yields 330 blocks that form a 4-(12, 6, 10) design.

4.7 Remark The 4-(12, 6, 10) design from Example 4.6 is the basis of Block Design for Piano [1211]. The composer explains: “There are 12 notes, distributed into 6-note

arpeggios, in such a way that every combination of four particular notes comes together exactly 10 times in 10 different arpeggios.”