Last night, I remembered that (back in November) I'd noticed some similarity between the opening orchestral sections of "Waterfall" and "Strange Magic." I finally got around to looking into that, and I discovered that I was right. While the orchestrations are different, there's one phrase that's the same, just adjusted for key.
Here it is at the beginning of "Waterfall":
And here it is at the beginning of "Strange Magic":
I'm pretty sure these are played on cello, but the phrase in "Waterfall" sounds like it's also doubled on upright bass. In any case, while the specific pitches are different and the last note in the phrase in "Strange Magic" lasts longer, the intervals are the same. Using this phrase in two songs gives the Face the Music album a bit of cohesion.