Many musicians can play Bach's organ works by ear after listening to a recording only a few times. Bach's complete organ works is on 12 CDs so if you compare how much a musician has in memory to the equivalent gigabytes on CD, it's quite astounding.

Seems the algorithm involved in memorizing music would involve recognizing a logical relationship between audio frequencies and also their rhythm.

Not even close.

To store a single note that lasts one second on a music CD takes about 176 kB of storage, which is enough to store about 33 pages of ASCII text.

A much better comparison, though still highly flawed, would be to the compressed sheet music.

 

An algorithm is just an ordered procedure ....or a considered plan. The object is to get the best results with the lowest cost, time and resources.

If you're a male of the species.....you won't have any problem with the concept.