lyLuaTeX problems I fail to resolve

[liebrecht]

This is seemingly the forum where lyLuaTeX questions are answered.

1) I cannot figure out how to get ticz to work to draw a circle of 
fifths. I have no problem creating it in Standard LaTeX, but it seems 
lots of LaTeX standard calls dont work in lyLuaTex.
Or is this a question for the luatex forum ?

2) Am I right to claim that if any code works in LuaTeX then it will 
work in lyLuaTeX ?
If there are exceptions, what are they ?

3) How many document classes are there in lyluatex ?
I could only find one.

4) Can you use amsmathpackage with lyLuaTeX?
I tried, but I get a theorem error.
I need the ams packages  as I write mathematical music documents.
Is mathematics at all supported in lyLuaTeX ?