The Language of Juggling

Every juggling pattern can be described with numbers. This system is called siteswap — and once you learn it, you can read any pattern at a glance.

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What the Numbers Mean

Each digit is a throw height. Higher number = higher throw = more time in the air. The ball lands that many beats later.

Odd = crosses to other hand

Even = same hand

Odd vs Even

This is the key insight. It tells you the shape of every throw.

Odd Numbers

Cross to the other hand

1 · 3 · 5 · 7

Even Numbers

Return to the same hand

2 · 4 · 6

Reading a Pattern

Let's break down 531 beat by beat. Hands alternate: Right, Left, Right, Left...

Beat 1

RIGHT

Beat 2

LEFT

Beat 3

RIGHT

Beat 4

LOOP

Right

High crossing throw — ball goes way up, crosses to Left hand, lands 5 beats from now

Left

Normal cascade throw — standard height, crosses to Right hand, lands 3 beats later

Right

Quick hand pass — zip it across to Left hand, arrives next beat

Then the pattern loops. All three digits are odd, so every throw crosses.

How Many Balls?

Just average the digits. If the average is a whole number, the pattern is valid.

3 ÷ 1 = 3

3 balls — Cascade

531

5 + 3 + 1 = 9 ÷ 3 = 3

3 balls

441

4 + 4 + 1 = 9 ÷ 3 = 3

3 balls — Half-Box

5 + 1 = 6 ÷ 2 = 3

3 balls — Shower

423

4 + 2 + 3 = 9 ÷ 3 = 3

3 balls

The formula

(sum of digits) ÷ (number of digits) = balls

Patterns You Know

Here are common patterns and their siteswap notation.

Cascade

The fundamental pattern. Every throw is the same height, alternating hands.

Shower

All balls go in a circle. One hand throws high (5), the other zips across (1).

Box

(4,2x)(2x,4)

Synchronous. Vertical columns + horizontal exchanges create a box shape.

Half-Box

441

Two column throws (4,4) then a quick hand pass (1). An asymmetric gem.

Yo-Yo

(4,2)

One hand throws column (4), the other holds (2). Simple synchronous pattern.

Burke's Barrage

423

Column throw (4), hold (2), cascade throw (3). A flowing arm-crossing pattern.

Mills Mess

Same siteswap as cascade, but with crossed arms. Style is in the arms, not the throws.

Windmill

Another "3" variation with arm movement under and over. Same rhythm, different style.

Synchronous Notation

When both hands throw at the same time, we use parentheses and special symbols.

(4, 2x) — Left throws 4, Right throws 2x

( , )

Parentheses = both hands throw at the same time. Left value, then Right value.

Crossing modifier = the throw crosses to the other hand instead of returning to the same one.

Mirror repeat = after playing the pattern once, swap left and right hands and repeat.

Example: The Box

(4,2x)(2x,4)

Beat 1: (4, 2x)

Left throws 4 (column up) while Right throws 2x (crosses low to Left)

Beat 2: (2x, 4)

Left throws 2x (crosses low to Right) while Right throws 4 (column up)