Someone at Liverpool Irish centre told me years ago that a tune HAD been printed upside down in the old edition of O'Neill's (THe Yellow 2000 tune one I think). He assured that in its inverted form it had passed in to the tradition. I can't remember what it was though. Any ideas.

Inverting a tune can be done two different ways.
1. Turn the piece of paper round
2. Reversing the intervals - this will give a different result to 1.

Either way, its probably gonna sound like Les Dawson!

Schönberg wrote music that deliberately inverts and reverses a twelve note "tune", in which no notes are repeated. When I was at music college I invented a dodecaphonic calculator for doing this accurately. Mass production of this priceless tool awaits!

If you want to hear a piece of music written using the twelve tone system. Click here

Some Schönberg