Log Ladder.

Equal distance means equal ratio. Ten rungs, one instrument — learn to read the world in orders of magnitude.

warm-up

0score

×1streak

Round 1 of 14

Place the value where it belongs on the ladder.

Same values, linear axis

Everything below the top decade collapses into the left edge. That crowding is exactly what the log ladder undoes.

Distance is ratioEvery decade band is the same width. 1→10 takes exactly as much room as 100,000→1,000,000.
Halfway is 3.16, not 5The middle of a decade is √10. Halfway between 2 and 200 is 20 — the geometric mean.
Multiplying is slidingLengths add. Slide the strip by log a and you have multiplied by a. That is a slide rule.
Growth is a straight lineAnything compounding takes equal-sized steps along the ladder, forever.
Audio is log twice overAn octave is ×2. A decibel is a twentieth of a decade. Same ladder, new numbering.

Drag or click the ladder · ←→ to nudge · Enter to lock in

Scoring is in log units: being 2× too high costs the same as being 2× too low.