when I was learning to play the piano, my mother would ask my teacher to teach me Jewish songs too (my teacher was Jewish but not observant). My teacher told my mother that if we brought her the notes, she would teach me the songs. But whatever we brought her was not good.
Most Jewish music is written as just a melody (right hand on the piano) with chords above the melody line.
My teacher would say – this is much too easy! There is no left hand!
I did not know any better in those days, and never did learn much more than Avinu Malkeinu and Fiddler on the Roof with her (in terms of Jewish music).