Metric Modulation Calculator

Design smooth tempo changes using metric modulation. Choose note values, dots, and tuplet ratios easily. See the new BPM instantly and save results fast.

Old tempo
Allowed range: 1 to 400 BPM.
Old beat unit
:
Use 1:1 for none. Example 3:2 for triplet.
Old value to equate
:
Use 1:1 for none. Example 3:2 for triplet.
Example: set 3:2 on eighth notes for an eighth-note triplet.
New tempo
New beat unit
:
Use 1:1 for none. Example 3:2 for triplet.
New value to equate
:
Use 1:1 for none. Example 3:2 for triplet.

Example data table

These are common transitions. Use them as starting points and tweak to taste.
Old tempo Equivalence New beat unit New tempo (approx.)
Quarter = 120 BPM Eighth tuplet (3:2) = Quarter Quarter 80 BPM
Quarter = 96 BPM Dotted eighth = Quarter Quarter 144 BPM
Dotted quarter = 72 BPM Quarter = Dotted quarter Quarter 72 BPM

Formula used

A metric modulation sets one rhythmic duration in the old tempo equal to one rhythmic duration in the new tempo. If N is the equated note value and U is the beat unit used for the BPM, the duration (seconds) is:

duration = (N / U) × (60 / BPM)

Setting old and new durations equal and solving for the new BPM gives:

BPM_new = BPM_old × (N_new × U_old) / (N_old × U_new)

Dots lengthen notes (1 dot = ×1.5, 2 dots = ×1.75, 3 dots = ×1.875). Tuplets use “a in the time of b”, so each note scales by (b/a).

How to use this calculator

  1. Enter the old tempo in BPM and choose the old beat unit.
  2. Select the old value to reinterpret (or tick “Use beat unit”).
  3. Choose the new beat unit (how you want the new BPM displayed).
  4. Select the new value that will match in duration.
  5. Press Calculate, then export CSV or PDF if needed.
Note: If you are unsure, start by equating an old subdivision to a new beat.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.