How can I count the number of folders in a specific folder level using Linux terminal?

I have a very specific directory tree on my music library. I would like to count all of the albums, excluding all the subdirectories.

For instance, given this directory tree:

/music/

/music/Davis, Miles/ (<--1. interpret)

/music/Davis, Miles/Kind of Blue/ <--1. album

/music/Davis, Miles/Tutu/ <--2. album

/music/Hendrix, Jimi/ (<--2. interpret)

/music/Hendrix, Jimi/Axis Bold As Love/ <--3. album

/music/Hendrix, Jimi/Electric Ladyland/ <--4. album

/music/Hendrix, Jimi/Electric Ladyland/Disk 1
/music/Hendrix, Jimi/Electric Ladyland/Disk 2

I would like for the command to return "4" .

So basically I want the command to return the number of albums, Or, bonus points if it returns "2" Interprets and "4" albums.

(and double bonus points if it additionally lists the interprets and albums.)

How can I most easily do this?

Many Thanks in advance!!