@Maria, that works surprisingly well! Now I'm wondering what happens if we interpret these fractions as intervals in pitches. Simple fractions show up a lot in the musical scale. For example, a perfect fifth interval corresponds to a \$$\frac{3}{2}\$$ frequency ratio and sounds "really good". If we call \$$\frac{1}{1}\$$ middle C (\$$C_4\$$), I think we get the sequence \$$C_4, C_3, C_5, F_2, G_4, F_3, C_6\$$,..., which probably sounds ridiculous on its own, but maybe modding over an octave would sound interesting.