Hey, synchronicity - I just tried to explain music in terms of powers of integers to a lifelong musician - I had to calculate everything by longhand - ugh!
Anyway the key issue is the equation 2^n = (3/2)^m. And they you say
1) No.
2) No.
3) No.
4) No.
5) Yes.
6) Yes.
See? It's 3/2. This is a perfect example of synchronicity.
Anyway hope she's healthy and artistic.