Polyrhythms: 3 over 2

You've already met 3:2 as a groove in Polyrhythmic Grooves. This lesson is the next step: making 3:2 something you own internally, not just something your hands can execute when the click is on. The goal is two simultaneous pulses living in your body at the same time — so that, mid-groove, you can shine the spotlight on either one without losing the other.

The technical content is small (3 against 2 on a kit is six-against-four, you've seen the math). The pedagogical content is large. Three-against-two is the universal solvent of polyrhythms: once you genuinely feel it, every other ratio becomes a variation rather than a new puzzle. West African drumming, Bach's keyboard music, Cuban rumba, and prog rock are all riding on this same skill.

The Two Layers, Visualised

A bar of 3:2 has six even pulses underneath. The 3-pulse hits every two of those (positions 1, 3, 5). The 2-pulse hits every three of those (positions 1, 4). They share position 1; everywhere else they argue. Counting "1-2-3-4-5-6" works for a few bars, but it's a crutch — eventually you have to stop counting and start feeling.

Build Order — From Outside the Kit

Clap a 2-pulse with your hands while tapping a 3-pulse with your foot. Then swap: 3 in the hands, 2 in the foot.
Once both directions are equally easy, sing one pulse while clapping the other. The voice is a third limb here — the more limbs that know the polyrhythm, the deeper it goes.
Move to the kit only when the body version is rock-solid. If you can't do it on a tabletop, you cannot do it on a drum set.

Switching Foreground

The deeper skill — and the one that separates a drummer who has practised 3:2 from one who has internalised it — is being able to switch which pulse you're hearing as primary without changing what your hands are doing. The 3-pulse and 2-pulse are both there; your attention picks one. This is the same skill that lets a Cuban drummer hear the 3-side of a 3-2 clave as the strong side, and a North Indian musician hear the same rhythm grouped completely differently. The hands play one thing; the mind hears another.

Across the Kit

The final exercise breaks 3:2 across the kit — the 3-pulse on the high tom, the 2-pulse on the floor tom, the kick filling in the underlying six. This is the entry point to polyrhythmic orchestration: distributing the layers of a polyrhythm across multiple voices so a listener can see them in stereo. It's the sound of Tony Williams, Jack DeJohnette, and any modern jazz drummer working in odd subdivisions.

Exercises

1 — Clap the 3, Tap the 2 (Body Drill)

4/4 (one bar = 6 underlying pulses) · ♩ = 70

Hands clap the 3, feet tap the 2. Six even underlying pulses per bar. Hands hit on pulses 1, 3, 5; feet hit on pulses 1, 4. They share beat 1 and disagree everywhere else. Mantra: say 'hot — cup — of — tea' with the 4-pulse (the feet), while the hands sing 'pass-the-but-ter'. Once it locks, swap: hands tap the 2, feet clap the 3. Both directions need to feel equally natural before you go to the kit.

2 — 3 on Snare against 2 on Kick

4/4 · ♩ = 75

Snare plays the 3-pulse (quarter-note triplets across two beats, twice per bar). Kick plays a 2-pulse on beats 1 and 3. They line up only on beat 1. Practise this with a metronome on quarter notes (the kick), not on the triplets. The 3-pulse must float over a click that is reading the 2-pulse — that is the whole skill.

3 — Switching Foreground

4/4 · ♩ = 75

Same notes as Exercise 2, but now shift your attention every four bars: bars 1–4, hear the 3 (snare) as primary; bars 5–8, hear the 2 (kick) as primary. Your hands and feet do not change a single thing — only your internal listening does. Use the accents to remind you which pulse is currently in the foreground. This is the polyrhythm equivalent of the duck/rabbit drawing: both shapes are always there, you choose which one to see.

4 — 3:2 Broken Across the Kit (Hi Tom + Floor Tom)

4/4 · ♩ = 75

Orchestration: 3-pulse on the high tom, 2-pulse on the floor tom (notated on the floor-tom line, but played with your feet so the orchestration is left/right hands free for melodic decoration above). The high-tom pitch + floor-tom pitch separation lets a listener hear both pulses in stereo, the way Tony Williams or Jack DeJohnette would phrase it. Once this locks, try the inverse: 2-pulse high, 3-pulse low. Same polyrhythm, different colour.

Listen for it