Some examples of bass lines here from Alex Ross from his book "Listen To This".
http://tinyurl.com/6ks5frq
Bartok - first movement of Music for Strings, Percussion and Celeste. All the way round, I think, and that is probably unique.
A striking and beautiful example is to be found in Jerome Kern's All The Things You Are. Beginning in the key of F, the bass notes go: D-G-C-F-B flat_E-A (we are now in the key of A major) then D-G-C-F-B-E (we are now in E major after 16 bars). 12 fifths have been traversed but because two of them are diminished (jumping across diameters of the circle) we have not returned to our starting point. That's what happens in the following 8 bars (the bridge) and then Kern extends the return of the first 8 bar section to 12 bars in order to finish in the home key. What an excellently composed song this is!
The Bartok cited above is not really a circle of fifths: we have a series of fugal entries beginning on A-E-D-B-G and so on, making two circles going opposite ways. It's ingenious and beautiful but not a circle of fifths in the generally understood sense (meaning harmonic).
Does anyone know of a really perfect circle of really perfect fifths (avoiding the "comma")? I can't remember hearing about one but I'd be surprised if it hasn't been done.
I'm not sure this was quite what people were asking for, but Beethoven's two Preludes Op. 39 traverse all major keys through the circle of fifths.
If you're interested in different tuning systems, you ought to explore this page http://www.prismnet.com/~hmiller/music/index.html and some of the linked pages, but you need a stiff drink to hand. Suffice to say that neither Ravel's Pavane nor Pachelbel's Canon will sound quite the same again.
Do the circles work in the opposite direction in the southern hemisphere?![]()
are there lots of circles-of-fifths "going on" in the opening section of the Mastersingers Act one prelude?
(it sounds as if there are)