Combination Matrix Generator (from Chains)

Enter a chain of pitch-class positions in hexadecimal notation (e.g. 094|156|21|79B|A52), and this tool will map it to a 2D combination matrix using a diagonal-plus-right layout.

Chain Input

Use |, spaces, commas, or slashes to separate positions. Each position is an unordered set of pcs (0–9, A–B).

Matrix Layout Automatic square (⌈√N⌉ × ⌈√N⌉) Custom rows × columns

Rows (custom)

Columns (custom)

In Automatic mode, the matrix is the smallest square that can fit all positions. In Custom mode, you must supply enough cells (rows × columns ≥ number of positions).

Generate Combination Matrix Clear Copy Matrix to Clipboard Rotate 90° CW Start Move Mode

PC Focus (0–9, A–B)

Highlights cells containing the chosen pc and flags rows/columns where its count ≠ 1.

  Apply PC Focus Clear Focus

Transpose by n (1–11)

Adds n semitones (mod 12) to every pc in the matrix.

  Apply Transposition Invert (I: 12 - n mod 12)

Parsed Chain

(No chain parsed yet.)

Combination Matrix

Row & Column Norms

PC Focus Report