The Phonemes
Every leaf letter is a weighted mixture of these seven. Click a card to see what it means, where it expresses purest, and how it mixes with the other six.
How they mix — v1pct catalogue (1% activity threshold)
Per-instance NMF projection of all 27,830 symbol-instances (3D + 4D) onto the 7-foundational basis. Each instance is tagged with the foundationals it expresses above 1%, the ratio at 5% bins, and a purity tier (P1 pure → P5 disrupted). The catalogue lets the geometry speak — no external interpretation is imposed on the mix.
k=3
the dominant breadth column. 57.6% of all 3D instances and 57.9% of 4D instances express exactly three foundationals above the 1% bar. Single-archetype expressions are rare (0.7%).
3 of 7
only DISTRIBUTE, FRUSTRATE, POLARIZE ever appear as the leading foundational in non-trivial counts. CONCENTRATE, RADIATE, TRIANGULATE, CUBIFY appear in this catalogue only as followers / residuals.
55
distinct identity signatures observed across 3D and 4D (which foundationals participate, in what dominance order). Out of a theoretical ceiling of 13,699 — empirical coverage is 0.40%. The vocabulary is sparse.
k=5
the empirical breadth ceiling at the 1% threshold (3D + 4D). No instance expresses 6 or all 7 foundationals simultaneously. The system has a hard upper bound on co-expression.