This oscillator has several simple variants, also found by Elkies, that can be acquired by altering the phase of one of the crowns. Below are period 132 and period 144 versions of the oscillators. It can even be made to be period 96.
Image gallery
A period 132 version of the Hans Leo hassler that uses unix Download RLE:click here
A period 144 version of the Hans Leo hassler RLE:here