Metric modulation
Examples of metric modulation may include changes in time signature across an unchanging tempo, but the concept applies more specifically to shifts from one time signature/tempo (metre) to another, wherein a note value from the first is made equivalent to a note value in the second, like a pivot or bridge.
In both terms, the pivoting value functions differently before and after the change, but sounds the same, and acts as an audible common element between them.
[4] A technique in which a rhythmic pattern is superposed on another, heterometrically, and then supersedes it and becomes the basic metre.
[12] Beethoven used metric modulation in his Trio for 2 oboes & English horn, Op.
Before the modern concept and notation of metric modulations composers used the terms doppio piu mosso and doppio piu lento for double and half-speed, and later markings such as: indicating double speed, which would now be marked (=).
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), in a piece by J.S. Bach. Slow introduction followed by an allegro traditionally taken at double the speed. Sixteenth notes in the old tempo prepare for eighth notes in the new tempo.
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