3:4 polyrhythm

What it means

A 3:4 polyrhythm means three evenly spaced notes happen in the same total time as four evenly spaced notes. The two layers start together, move apart, and meet again at the start of the next cycle.

If the four-note layer is the main pulse, the three-note layer stretches across it. For example, you might keep four steady quarter-note beats with your foot while clapping three evenly spaced accents across those four beats.

The ratio matters: in 3:4, the three-note layer is named first and the four-note layer second. In practice, musicians often feel one layer as the main pulse and the other as the cross layer.

How the layers line up

The cleanest way to see 3:4 is on a 12-part grid. Twelve is useful because both 3 and 4 divide into it evenly.

• The four-note layer lands every 3 small subdivisions: 1, 4, 7, 10.
• The three-note layer lands every 4 small subdivisions: 1, 5, 9.
• Both layers meet on 1, then resolve together again after 12 subdivisions.

Because the layers share the same cycle length, this is a true polyrhythm, not two unrelated tempos.

How to count or clap it

Start by counting twelve small pulses out loud:

1 2 3 4 5 6 7 8 9 10 11 12

Clap the four-note layer on:

1, 4, 7, 10

Then clap the three-note layer on:

1, 5, 9

Once that is comfortable, keep the four-note layer with your foot and clap the three-note layer with your hands. The first clap lines up with the foot. The second clap falls slightly after the second foot pulse. The third clap falls slightly before the fourth foot pulse. Then everything resolves at the next 1.

If you are feeling the four-note layer as four beats, you can also count triplet subdivisions:

1-trip-let 2-trip-let 3-trip-let 4-trip-let

The four-note layer lands on the beat numbers: 1, 2, 3, 4. The three-note layer lands on 1, the middle triplet partial of beat 2, and the last triplet partial of beat 3.

How it feels

3:4 can feel like a slow, floating three-beat shape crossing a steadier four-beat pulse. It creates a controlled pull against the meter without changing the actual tempo.

When the four layer is strong, the three layer sounds spacious and suspended because each three-layer note has to span four small subdivisions. When the three layer is strong, the four layer can feel like a quicker internal subdivision.

This is why the same sound may be described differently depending on which layer the player or listener treats as the main pulse.

Where musicians use it

Musicians use 3:4 polyrhythm in groove playing, percussion writing, keyboard and guitar patterns, bass ostinatos, improvisation practice, and production. It is especially useful when a part needs tension against a steady four-beat pulse without changing tempo.

Three-against-four relationships also appear in many African and Afro-diasporic musical traditions, though the exact pattern, feel, instrumentation, and cultural meaning vary widely by region and style. In those contexts, the relationship is often part of a larger timeline, dance feel, or ensemble texture rather than an isolated exercise.

Common confusions

3:4 polyrhythm vs 4:3 polyrhythm

The sounding relationship can be the same, but the label changes depending on which layer is named first. 3:4 emphasizes three evenly spaced events against four. 4:3 emphasizes four evenly spaced events against three.

Polyrhythm vs polymeter

In a polyrhythm, the layers share the same overall cycle. In 3:4, both layers resolve after the same span of time. In polymeter, different meters may run at the same tempo, such as one part phrasing in 3/4 while another phrases in 4/4. Those barlines may line up only after several measures.

3:4 polyrhythm vs hemiola

A hemiola is usually a temporary feeling of 2 against 3 or 3 against 2, often inside a phrase. A 3:4 polyrhythm is a specific three-against-four relationship and usually feels more stretched than a basic hemiola.

Polyrhythm vs metric modulation

3:4 does not automatically change the tempo. Metric modulation happens when a note value or subdivision is reinterpreted as a new pulse. A 3:4 pattern can be used to set up metric modulation, but the polyrhythm itself is not the modulation.

Practice with a metronome

1. Set the metronome to 60 bpm and treat each click as one of the four main beats.
2. Count 1-trip-let 2-trip-let 3-trip-let 4-trip-let while tapping your foot on 1, 2, 3, 4.
3. Clap the three-note layer on 1, the middle triplet partial of beat 2, and the last triplet partial of beat 3.
4. Repeat until the three claps feel evenly spaced, not guessed.
5. Switch roles: clap the four-note layer and sing or tap the three-note layer.
6. Harder version: set the click to only beat 1 of the four-beat cycle. Keep the full 3:4 pattern steady until the next click confirms the resolution.