Sequence of keys in Kigen no Yoi Hakase:
D – B♭ – E – C – [C – E♭ → C] – C – A♭ – D – B♭ – [B♭]
([ ] signify the interlude resp. the coda, the only real modulation in the piece is symbolized by →)
It's basically an ABA #form, with each A section built upon the intervallic relations
M3↓ – TT↓ – M3↓.
So, the A sections are basically the same with respect to key relations and instrumentation. After four iterations, we arrive at a key one whole step lower than where we started (D to C, C to B♭). The interlude doesn't break the sequence as it modulates back to the previous key (C).
That means: You can actually chain the A sections (and the interlude, if you will) ad infinitum! After 6 iterations, you would end up back in D major.
(Well, in practice it's limited by your instruments' range.)
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