Score Notation
Metric modulations are generally notated as 'note value' = 'note value'.
For example,
This notation is also normally followed by the new tempo in parentheses.
This is analogous with the assignment in imperative computer languages:
{x = f(x);} ≡ {xnew = f(xold);}
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:
(Adagio)=(Allegro) |indicating double speed, which would now be marked (=) (Weisberg 1996, 52).
L'istesso tempo was used for what may now be notated with metric modulation markings. For example: 2/4 to 6/8 (=.), will be marked l'istesso tempo, indicating the beat is the same speed.
Metric modulation markings are frequently used to indicate swing rhythm.
Read more about this topic: Metric Modulation
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