The formula to calculate Metric Modulation (MM) is:
\[ MM = \frac{OT \times PNN}{PNO} \]
Where:
Metric modulation is a change in tempo derived by reinterpreting the rhythmic subdivision. It involves using pivot note values (specific rhythmic values) in the old tempo and mapping them onto a new tempo. The calculation allows for a smooth transition between tempos based on the relative lengths of these note values. Metric modulation is often used in music to create complex rhythmic structures and shifts in tempo.
Let's consider an example:
Using the formula to calculate Metric Modulation:
\[ MM = \frac{120 \times 3}{2} = \frac{360}{2} = 180 \, \text{BPM} \]
This means that the new tempo after metric modulation would be 180 BPM.