How many different musical symbol sequences are there in Project Hail Mary?

We saw in #24 that there are 179 instances of the characters:
♩ ♪ ♫
but how many sequences of those characters appear and how many unique such sequences are there?

There are 53 musical sequences with 33 unique patterns.

The sequences occurring 4 times are:
♪
♫♩
♫♩♪♫
♫♪♫

The sequence occurring 3 times is:
♫♪♩♫

The sequences occurring 2 times are:
♩♪♫
♩♫♩♪♪
♫
♫♩♪
♫♪
♫♪♫♪

The sequences occurring 1 time are:
♩♩
♩♪♩
♩♪♫♩♪
♩♪♫♪
♩♫♪♪♫
♪♪
♪♪♩
♪♪♫♪
♪♫♩
♪♫♫♪
♫♩♪♪♪
♫♩♪♪♫
♫♩♪♫♩♪♫
♫♩♪♫♪
♫♩♪♫♫
♫♪♩♪
♫♪♫♩
♫♪♫♪♩
♫♪♫♪♩♩
♫♪♫♫♪
♫♫
♫♫♩