## Heterobasic Temporally-Convergent Fugue on Pi

So evidently the idea of a “pi song” (python?)  has spread quite a bit. What people seem to not realize though, is that most of the pi songs out there (at least, all that I’ve seen and heard) aren’t really pi songs. Why? Those pi songs use pi in decimal base, but that’s certainly not pi in music, as it is in no way natural to use base ten for music—music is either base twelve, base seven, base five, or perhaps base eight, depending on how you scalarly (?) think of it. In other words, in writing a pi song, one shouldn’t be using the decimal representation of pi, but rather some base that has a nice mapping to the tones of the conventional scale.

Additionally, pi is transcendental and irrational. There’s no last digit. So at one glance it just might not be the right representation to put pi in the sense of a piece, where there is a definite end. Of course, it initially seems ridiculous to attempt the otherwise, but in actuality, one can find ways to store infinite information in finite space. As you all probably know, some geometric (as well as other) series converge, like that with first term 1 and common ratio less than 1 (or that with first term 0 and common ratio anything). Thus, in such a piece, if we make the general tempo accelerate by a common ratio in certain parts of the piece that are divided evenly, we can achieve fitting the representation of an infinite amount of digits in.

I wrote a piece that tries to address these. As you can see, I wrote in a megacluster for the infinitely increasing speed to be represented at the end, which I guess might be considered cheap like the very-quick solution to constructing a regular sixty-five thousand five hundred thirty-seven-gon (tyrtwyihsriramka yirtgrozavyftween-gon), but at least it considers that issue.

By the way, if you do attempt to play this:

1) Prepare for extreme dissonance.

2) You might want to try a slow tempo.

Oh, and also, I’m still sitting on the fence between pi and tau. I guess generating a tau song from this shouldn’t be all that hard.