Bohlen–Pierce · non-octave instrument

Tritave

A playable microtonal keyboard with no octaves. Its interval of equivalence is the tritave — the 3:1 twelfth — split into 13 equal steps of ≈146.3 cents. Built on odd harmonics, it can sound consonant, and it is allowed to sound dangerous.

2:1 octave — never closes3:1 tritave = 1 turnASDFGHJKL;QWERTY13-EDT3^(1/13)

Now sounding

Press Start, then play the keyboard rows.

Input modes

  • Keyboard · on start — rows A‥; / Q‥Y
  • MIDI · —
  • Tap · SVG keys (secondary)

Tuning

  • step ratio 1.088182
  • 146.30 cents / step
  • 13 steps = 3:1 tritave (exact)
  • tonic 220 Hz

Big nodes are the 9-note Lambda mode; small nodes are the chromatic infill. Timbre is additive with strong odd partials (3rd, 5th, 7th, 9th) so BP’s real 3:5:7 consonance can lock — and its clusters genuinely bite. Refs: Heinz Bohlen (1978); Max Mathews & John Pierce; Xenharmonic Wiki, “Bohlen–Pierce scale.”

The dream lab — Karel Barnoski