Notes and Note-Pairs in Noergaard's Infinity Series

Christopher Drexler-Lemire, Jeffrey Shallit

The Danish composer Per Noergaard defined the "infinity series" s = (s(n))_n>=0 by the rules s(0) = 0, s(2n) = -s(n) for n >= 1, and s(2n + 1) = s(n) + 1 for n >= 0; it figures pro…