How do I set a delay time to match the tempo of a song?

Divide 60,000 by the tempo in BPM to get one beat in milliseconds. At 120 BPM a beat is 500 ms. Then scale it by the note value: an eighth is half a beat, a dotted note is one and a half times as long, and a triplet is two thirds. Set the pedal to that number.

120 BPM: a dotted quarter is 750 ms12341234orange: the note · blue: its echoes · lines: beatsCommon settings at this tempoquarter500 msdotted quarter750 mseighth250 msdotted eighth375 mseighth triplet166.7 mssixteenth125 ms
Delay time
750 ms
One beat (quarter note)
500 ms
As a rate (tremolo or LFO)
1.33 Hz

Challenge: Find the tempo where a dotted-eighth delay is exactly 450 ms.

BPM
More settings
How many repeats you hear and see. Each one is a little quieter.

Play

Press "Echoes in time," then "Echoes 40 ms off," and listen to the groove smear.

Challenge: Find the tempo where a dotted-eighth delay is exactly 450 ms. The box under the picture turns green when you get it.

Stuck? Pick one of the examples from the “Try an example” menu, or press “New example.”

Understand

t=60,000BPM×beatst = \frac{60{,}000}{\text{BPM}} \times \text{beats}

A minute is 60,000 milliseconds, and the tempo says how many beats share it. So one beat, a quarter note, lasts

beat=60,000BPM ms\text{beat} = \frac{60{,}000}{\text{BPM}}\ \text{ms}

Every other note value is a ratio of that beat: an eighth is ½, a sixteenth ¼. A dot multiplies by 3/2, and a triplet fits three notes in the space of two, so it multiplies by 2/3. The top of the picture shows two bars with the note in orange and its echoes in blue. When the echo time is a clean fraction of the beat, every echo lands on a grid line.

Use

Every input has a unit menu, so you can type values in the units you already have. Results follow your units.

Show the work

  1. A minute is 60,000 ms, shared by every beat\text{beat} = \frac{60{,}000}{120} = 500\ \text{ms}
  2. A quarter is 1 of a beat500 \times 1 = 500\ \text{ms}
  3. A dot adds half again500 \times \tfrac{3}{2} = 750\ \text{ms}
  4. The same length as a ratef = \frac{1000}{750} = 1.333\ \text{Hz}

Export

Export PDF

Set the tempo, the note value, and the feel, then dial that number into your delay. Press the sound buttons to hear in-time echoes against echoes that miss by 40 ms.

  • Tap-tempo pedals do this math for you. Knowing it lets you set a plugin by hand, or pick a deliberate off-grid time.

For learning and estimation. Verify with applicable codes, standards, and a qualified professional before using in design, construction, or safety-critical work.

Cheat card

beat (ms)=60,000BPM\text{beat (ms)} = \frac{60{,}000}{\text{BPM}}
dotted=note×32\text{dotted} = \text{note} \times \tfrac{3}{2}
triplet=note×23\text{triplet} = \text{note} \times \tfrac{2}{3}
f (Hz)=1000t (ms)f\ (\text{Hz}) = \frac{1000}{t\ (\text{ms})}
SymbolMeaningUnit
BPMBPMtempo, beats per minuteBPM
ttdelay timems
ffthe same length as a rateHz
  • Halve the time for each shorter note value, double it for each longer one.
  • A dotted-eighth echo fills the gaps between eighth notes, which makes a single guitar part sound like two.
  • Reverb pre-delay set to a 1/64 or 1/32 note keeps the reverb in time without blurring the attack.

Print this card

Where it’s used

  • Music & Sound
    Producers set delay, reverb pre-delay, and tremolo rates from the song tempo so effects groove with the track.
  • Music
    Guitarists dial in the dotted-eighth echo that makes one part sound like a fast rhythm.
  • Hobbies & Crafts
    Drum machines and DAWs show the same ms values when you sync an effect to the grid.

Questions people ask

What is a dotted-eighth delay?

An echo three quarters of a beat after each note. Played over steady eighth notes, the echoes land in between, so you hear sixteenth notes that you never played.

Why does an echo that's a little off sound messy?

Your ear expects echoes on the beat grid. A few tens of milliseconds off and they rub against the rhythm instead of reinforcing it.

How do I turn a delay time into a rate?

Divide 1,000 by the time in milliseconds. A 250 ms pulse is 4 Hz, the setting for a tremolo or LFO that throbs in eighth notes at 120 BPM.

Updated : First published.

See everything that’s new on Maps for Math