Rotational Array Generator

Enter an ordered pitch-class set (cardinality 3–9). Rotations are generated automatically. Choose how transpositions are applied: Auto normalize, Custom Tn, Normalize→Offset, or Per-row target start pc. Non-auto modes include Fill helpers for quickly populating per-row values.

Pitch-class set (ordered)

Allowed pcs: 0–9 A B (also accepts 10, 11 in separated input). No duplicates. Cardinality 3–9.

Display

Hex (0–9 A B) Pitch names

Space-separated rows

Transposition behavior

Auto normalize to a target (classic Stravinsky/Krenek) Custom per-row Tn (absolute) Normalize to 0, then apply per-row offsets Per-row target starting pc (absolute)

Auto mode computes Tn so each rotation’s first pc maps to the chosen target.

Auto target = 0 (C) Auto target = input’s first pc Auto target = custom pc

Used only in Auto normalize mode.

Only when Auto target = custom pc.

Per-row values (optional)

Fill helpers

Pattern All same value Arithmetic step Cycle 0–11 Random (0–11)

Start

Step

Apply Fill Copy Fill → List Field

In Custom Tn and Normalize→Offset, fill values are Tn. In Target start, fill values are target pcs (e.g., C, Eb, 9, A).

Generate Array Copy (CSV) Download CSV Clear

Rotational Array

Cardinality:  |  Mode:  |  Auto target:

Row	Rotation (raw)	Per-row control	Tn used	Result row

Tip: in Custom, Normalize→Offset, and Target start modes, edit the per-row boxes to update results immediately.