From Beethoven to Andrew

This amazes me so much! Since 1827 (the year of Beethoven's death) there is a direct line of only six individuals from Andrew to Beethoven (six degrees of separation?*):

Andrew at his last birthday party, September 2006.

Andrew's piano teacher in college was Raymond Hanson.
Raymond Hanson's teacher was Harold Bauer.

Harold Bauer

Bauer's teacher was Ignacy Paderewski.

Ignacy Paderewski
Paderewski's teacher was Teodor Leszetycki.

Teodor Leszetycki

Leszetycki's teacher was Carl Czerny.

Carl Czerny

And Czerny's teacher was Beethoven.

Beethoven

This is such a good math problem! One person at each node of the graph of this relationship. How many people enjoy this connection?

*Six degrees of separation would not pertain to multi-generational links because the more generations, the more degrees of separation. The generation after Andrew would be the seventh degree of separation.