Does Tchaikovsky's Sleeping Beauty modulate to the relative minor?
There's a part of Tchaikovsky's Sleeping Beauty that I like. And I was wondering if I'm right as far as the theory goes:
Measures 156-159 is in the relative key of G minor, and ends on this key.
Measures 172-176 is in the given key of B-flat major, and ends on this key.
Here's what it sounds like. I'm mainly talking about from time 2:38 (minor) vs 2:55 (major)
I'm just wondering if I'm right that 2:36-2:38 is a modulation to the relative key of G minor and how do you know? That part just made me sad and I also noticed it ended on a Gm.
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While it's true this entire movement is in B♭, this portion is really in the key of E♭ starting at the pick-up to m. 145 (2:24) until the return to B♭ around m. 177 (2:56). Notice all of the A♭s effectively turning the key signature of two flats into one with three (and thus E♭ major).
With that said, the music definitely cadences in G minor in m. 159 (2:38). But to my ears, this is more a tonicization than a modulation. What's the difference? We typically say that a modulation reaches a cadence in a new key, and this one does! But remember that so much of a cadence is the preparation; here, we really just have a V–i in G minor. A truer preparation (and therefore a stronger cadence creating a bona fide modulation) could have used a predominant that led into this dominant. To me, the E♭ chord in m. 156 sounds too much like the current tonic to be understood as a predominant setting up a G-minor cadence. Furthermore, the music immediately returns back to E♭, quickly removing any status of "tonic-ness" that G could have had. Really, this G-minor cadence is just a way to end this phrase with a perfect authentic cadence (PAC) that isn't the current tonic.
And speaking of cadences: notice that there's never a PAC in this current tonic of E♭! We only receive weak IACs in m. 151 (2:30) and m. 167 (2:47). This really keeps the momentum up to push us forward into the return of the opening material in B♭.
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