A068780 comment

This sound is very noisy with a sound similar to the primes sound.

Looking at terms of the sequence up to 10^6, we see these 
counts in residue classes at modulis 2 through 10:

2   [421503, 421502]
3   [294101, 254837, 294067]
4   [210825, 210824, 210678, 210678]
5   [180382, 160761, 160714, 160742, 180406]
6   [127435, 127435, 166666, 166666, 127402, 127401]
7   [129793, 116730, 116688, 116683, 116683, 116662, 129766]
8   [105448, 105447, 105347, 105347, 105377, 105377, 105331, 105331]
9   [98048, 84950, 98012, 98040, 84973, 98043, 98013, 84914, 98012]
10   [80383, 80382, 80335, 80335, 99999, 99999, 80379, 80379, 80407, 80407]

We can see non-uniformity at moduli of 3,5,6,7,9, and 10.

We can note that *all* integers congruent to 2 or 3 modulo 6 are 
in this sequence.  This results in a strong spectral component
in the sound at a frequency of 44100/6 = 7350 hz.

Similarly, *all* integers congruent to 4 or 5 modulo 10 are in this
sequence.  There is a strong spectral line at 44100/10 = 4410 hz.

There is also a strong component at 44100/3 = 14700 hz.

--M. Conroy