(making F the tonic), you get the F lydian scale.
This scale can also be represented as a stack of perfect fifths:
F-C-G-D-A-E-B
This generation of a cycle of perfect fifths by the Lydian scale may suggest all kinds of structural consequences, see for instance George Russell's "The Lydian Chromatic Concept of Tonal Organization".
In a recent study Brett Clement suggests this fifth stack to be the determining factor at work in the diatonic music of Frank Zappa,
see :
http://etd.ohiolink.edu/send-pdf.cgi/Clement%20Brett%20G.pdf?acc_num=ucin1 248708091
Ta!
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