Expand32
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VST3 + STANDALONE  ·  70 SYNTHESIS ENGINES

A new sonic geometry.

Expand32 is the topological synthesizer — 70 engines that turn living mathematics into sound. Finite fields, chaotic systems, quantum waves, number theory. Timbres with a character all their own, born from a space few instruments have explored.

Engine demos · running through Tree FDN
Listen · full-resolution WAV · dry → wet
Waveguide · Lineage + Tree FDN
Fitz lead · Tree FDN
Try it free ↓
Explore the engines
Expand32 synthesizer interface
Development update · July 2026
The engine now has a name of its own: Ultrametric Synthesis.

Unifying the 70 engines showed that they were never 70 separate ideas — they are one instrument seen from seventy angles, and that shared foundation finally needed a name. It isn't wavetable, additive, FM or physical modelling; it doesn't behave like any of them, so we gave it one of its own. Completing that unification moves Expand32 Synth to late August 2026.

The three FX — Tree FDN · Prime Verb · Prime Lineage — are available today, and they are built on that same substrate. Right now they are the shortest way to hear where the instrument comes from.

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The idea

Every beautiful mathematical structure can be heard.

Most synthesizers give you one method — wavetables, FM, granular — and a thousand presets. Expand32 gives you seventy methods: each engine is a different mathematical construction turned into a sound generator, from vibrating strings on exotic geometries to chaotic attractors, Galois fields and quantum wave packets.

They all speak one language — a timbre navigator of clusters and variants you can sweep live from an XY pad. Nearby positions sound nearby; timbre morphs along the same geometry that organizes melody. And 200 factory presets map the territory before you even start exploring.

Ultrametric operators, adelic products, integrable lattices — the real objects from the literature, not naming flair.

Expand32
THE INSTRUMENT
Expand32

The topological synthesizer. 70 engines, 7 mathematical families, dual-engine voices, a generative sequencer that plays the space itself.

Prime Verb
CONVOLUTION REVERB
Prime Verb

A reverb whose echo density is fractal — arithmetic in the tail. With a long, glassy crystal decay you won't find anywhere else.

Tree FDN
ALGORITHMIC REVERB
Tree FDN

The room, alive. Delay lines standing on a mathematical tree, mixed by an orthogonal rotation of the tree itself — it morphs in real time, tells the truth about its decay, and can freeze forever.

Prime Lineage
MULTI-TAP DELAY
Prime Lineage

Echoes that are relatives, not copies. The pattern isn't drawn by hand — it grows from a family tree: farther kin are darker, softer, wider. One selector runs from DAW-grid to echoes that never exactly repeat.

Only here

Instruments that emerged naturally from the system's substrate.

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In development

The research doesn't stop.

Expand32 comes out of an active research program — more instruments and effects built on the same mathematics are already in development. Every purchase funds that work directly, and we give back in kind.

Promises scaled to reality: what support makes possible, we ship. What we ship, you keep.

01
Preset expansions — free

New factory banks pushed to every owner as free updates.

02
New engines, in your copy

As support grows, new engines land inside Expand32 itself as updates — not as paid add-ons.

03
Founder features

Unique features reserved for first-version owners. Early trust, rewarded — for keeps.

Don't take our word for it.

Download the free demo — the three FX (Tree FDN, Prime Verb, Prime Lineage), 7 days, full sound quality. One installer for demo and full: a license key unlocks everything, even offline.

↓ Download free demo
DIRECT DOWNLOAD · ZIP 18 MB · NO SIGN-UP
The instrument

Expand32

— geometric and topological Synthesizer —

70 synthesis engines. Not 70 presets — 70 structurally different sound generators: additive, FM, waveshaping, physical-modal and full dynamical-system integrators, all unified on one specific geometry.

Expand32 interface
VST3 + Standalone · Windows 64-bit · releasing late August 2026
Development update · July 2026
A name of its own: Ultrametric Synthesis.

Unifying the 70 engines showed that they were never 70 separate ideas — they are one instrument seen from seventy angles, and that shared foundation finally needed a name. It isn't wavetable, additive, FM or physical modelling; it doesn't behave like any of them, so we gave it one of its own. Completing that unification moves the release to late August 2026.

Tree FDN, Prime Verb and Prime Lineage are available today and grew out of the same foundation as this instrument — the shortest way to hear where it comes from while the synth is finished.

70 engines · 7 families

Each engine is a theorem you can play.

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+ latent "bridge" parameters: many engines expose the hidden knobs already inside their own equations.

For the curious

Born from the substrate.

Live captures from the Eigen Scope — the actual internal state of each engine, not an animation.

Coming soon
Eigen Scope capture
p-ADIC FAMILY
Holo
a sound with a bulk and a boundary

Holography — the physics idea that a deeper space can be fully encoded on its surface — running as an oscillator. What you hear is the boundary; the tone is reconstructed from the geometry inside.

Eigen Scope capture — Toda Lattice
SONIC & PHYSICAL
Toda Lattice
solitons you can play

An integrable chain where energy travels as solitons — waves that collide, pass through each other and come out intact. On the Eigen Scope you watch the pearls collide in real time while you hold the chord.

Eigen Scope capture — Adelic Lattice
SONIC & PHYSICAL
Adelic Lattice
the adele made oscillator

One oscillator living in two worlds at once: a real vibrating string multiplied by a p-adic tree. In number theory that object is called an adele; here it's a playable sound source with the harmonics of both worlds braided together.

Descriptions kept general on purpose — the constructions behind these engines are ours. Researchers: it's probably doing exactly what you suspect. Write us.

Layer A+B

Two engines, one instrument.

Most synths stack a second oscillator of the same engine. LAYER A+B runs two completely different mathematical engines at once, per note, and fuses them into a single voice — not two tracks glued by hand, one new timbre.

The fusion happens by construction, not by luck: both engines share the same envelope, pitch, glide, modulation and space — sources that start together and move together read as one. On top, a per-voice Glue stage saturates the A+B sum, adding the shared harmonics that lock the layers into a single perceived source.

CARVE

Automatic complementary EQ, calculated from the engines' real spectra: it finds where A and B collide and carves each one the space the other needs. What an engineer does by ear, done by the math.

BYTE LINK

Layer related timbres: Same for maximum coherence, Kin for a close genealogical relative — "genealogical detune" — Anti for maximum contrast, Free for independence.

FUSE

Slide B's onset from 0 to 50 ms and walk the perceptual line: one sound → fat attack → ornament → deliberate double-hit. Psychoacoustics as a knob.

Also in the panel: Mix · Detune · Octave · Polarity · Audition [A | A+B | B] · Focus lens · Duck (internal A→B sidechain) · B Role (Full / Transient / Sustain) · LoSafe & Crossover, so "B owns the sub" holds on every note.

— Plus 15 blend recipes that set the professional relationship between the layers in one click: Sub Anchor, Attack Top, Haas Wide, 808 Guard and more.

The LAYER A+B panel in Expand32
The LAYER panel — the whole fusion in one strip
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Expand32 — Included for free for a limited time with the purchase of the bundle.

Go to store
Download free demo

Prime Verb

arithmetic in the tail

Every reverb on the market competes on uniform density. Prime Verb doesn't. Its reflections follow a self-similar, fractal pattern derived from number theory — a hierarchical echo structure that reads as space with order inside it.

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Prime Verb is the room, photographed. Tree FDN is the room, alive →

Get it free — see store
Prime Verb interface
Windows 64-bit available now · macOS coming August 2026
The star — PRIME

One selector chooses the arithmetic of the tail.

Every reverb on the market competes on uniform density. Prime Verb arranges its reflections in a self-similar hierarchy set by a prime — and the PRIME selector lets you choose which. From the dense binary genealogy to the Adelic tail — every prime at once — a family of spaces with an arithmetic character you won't mistake for anything else.

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Measured: spectral character shifts up to 9 dB from p=2 to p=7; the Adelic tail sits 33 dB away — a different category, not a variation.
The display is the DSP

The sunburst is the impulse response.

The radial tree isn't a picture of the reverb — it is the impulse response, ring by ring. Each ring is a generation of the tree; brightness is the real amplitude. Drag a ring and you lift or cut that whole generation at once — a Genealogy EQ over tree-time, a gesture no ordinary reverb could offer.

Outer rings are the young, dense reflections; the centre is the ancestral, sparse tail. The layout is the arithmetic, not decoration.

Prime Verb — the sunburst impulse-response display
Verified claims

Measured, not marketed.

Every figure below comes from measurement on the shipping DSP — the same standard we hold Tree FDN to.

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The controls

Five knobs, the arithmetic, and the tree.

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8 factory presets

Eight rooms, measured distinct.

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Prime Verb — Included in the bundle

Go to store
Compare with Tree FDN

Tree FDN

the room, alive

A new algorithmic reverb built on an unusual topology: delay lines standing at the nodes of a branching mathematical tree, and a feedback matrix that is an exact energy-preserving rotation derived from the tree’s own geometry. The room can be reshaped while audio runs, set moving, or frozen in place.

Built on the feedback delay network of Jot & Chaigne (1991), with the mixing matrix derived from a Bruhat–Tits tree instead of the usual Hadamard or Householder rotation.

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Get Tree FDN — see store
Tree FDN interface — thirteen controls and the 16-node circular graph
Windows 64-bit available now · macOS coming August 2026
One tree, two rooms

The photograph and the living room.

PRIME VERB — THE PHOTOGRAPH

A convolution of a number-theoretic impulse response: the space, captured exactly. Every reflection fixed in place — a room you can trust to never move.

Prime Verb
TREE FDN — THE LIVING ROOM

A recursive network on the same tree — a room that breathes. Morph it while audio runs, watch the matrix rewire itself, and freeze it forever. This page.

And it exports its room as an IR — take it to any convolver.

Two different engines on one geometry — deliberately separate products, not two modes of one plugin.

Verified claims

Measured, not marketed.

Every figure below comes from measurement on the shipping DSP — the same standard we hold Prime Saturator to.

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The display is the DSP

The graph is the reverb. Every chord is a live coefficient.

The circular graph isn't an animation of the reverb — it is the reverb. The chords draw the real mixing matrix, so turning Diffusion or Coupling visibly rewires the room. Each node glows with the actual RMS of its delay line, and breathes with the movement of that same line — every node on its own drift, none of them in step. Take Motion to zero and the graph goes still, because the engine has.

Every node sits where the structure of the tree puts it — the layout is the mathematics, not decoration.

Tree FDN — the live 16-node circular graph, moving as the network runs
The controls

Thirteen controls. The tree does the rest.

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Plus FREEZE: gains to 1, exact conservation — the room holds forever until you let go, and the movement holds with it.
Damping lives in the structure: deeper nodes of the tree are darker, so the highs decay first, like a real room. HF RATIO scales that behaviour instead of stacking a filter on top of it.
COUPLING was called DEPTH until this release. Saved projects and host automation are unaffected — only the label changed.

20 factory presets

Twenty rooms, measured distinct.

Four families in the LOAD menu — Rooms & Plates, Halls & Chambers, Tree Signature, where the arithmetic is the point, and Cinematic & FX for the long tails. Every one sets all thirteen knobs, SIZE included, so a preset lands as the room it was measured as. And no two of them are the same room: every pair is measurably apart in decay, density, brightness or stereo width — none of them differs by length alone.

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Tree FDN — Included in the bundle

Go to store
Compare with Prime Verb

Prime Lineage

echoes that are relatives, not copies

A multi-tap delay where the pattern isn't drawn by hand — it grows from a family tree. Every echo is a relative of your sound: farther kin are darker, softer, wider in stereo. Every tap is placed by the mathematics of kinship.

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Get Prime Lineage
Same tree, as a reverb →
Prime Lineage interface — the living family tree of echoes
Windows 64-bit available now · macOS coming August 2026
The star — FAMILY

One selector, from the DAW grid to echoes that never exactly repeat.

Five pills. 2 / 3 / 5 nail the grid — straight, triplet, quintuplet, sample-accurate (error ≤ 0.5 samples). Gold / Silver grow the taps from golden- and silver-ratio kinship: echoes that keep a quasi-periodic groove but never exactly repeat — and never stack into a comb. No other delay on the market has this axis.

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Measured on long tails at high feedback: the metallic families leave the spectrum ×17 smoother than a binary-grid delay.
How the tree processes

By generation, not by tap.

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The support

Everything else.

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WHY IT ISN'T ANOTHER DELAY

Classic multi-tap delays emulate vintage machines, modulate the line, or hand you a grid to draw taps on. None of them generate the pattern from a mathematical structure, and none have a single axis running from host-sync to non-repeating. "Golden ratio delay" exists as a manual recipe on forums — here it's a pill.

Every figure on this page — the ≤ 0.5-sample grid error, the ×17 smoother tails, the −0.7 dB mono fold — comes from measurement on the shipping DSP.

Prime Lineage — Included in the bundle

Go to store
Compare with Tree FDN
Store

Try the FX free — or get everything.

The three FX are available now for demo and purchase. The 7-day FX demo uses the same installers as the full versions — your license key simply unlocks them.

FREE DEMO
FX Demo — the three effects
Tree FDN + Prime Verb + Prime Lineage · 7 days · full audio quality
Expand32 Synth releases late August 2026 — no demo until release.
No account inside the plugin — ever.
↓ Download demo
VST3 + STANDALONE · 64-BIT · ZIP 18 MB
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Tree FDN Prime Verb Prime Lineage Expand32
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◆ Expand32 Synth is included free for a limited time with the bundle — its license is sent at release, late August 2026.
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FAQ

Questions, answered.

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Something else? Reach the team below — we answer everything.

Contact

Talk to the team that wrote the code.

Expand32 Sounds is built and supported by a small team — questions about licensing, the demo, or the math behind the sound go straight to the source.

INSTAGRAM
@expand32sounds
BASE
Querétaro, México
Expand32
SOUNDS

Mathematical instruments for sound designers and producers. Pure real-time audio DSP — no telemetry, no tracking. One-time online license activation, then offline forever.

PRODUCTS
Expand32 Synth
Prime Verb
Tree FDN
Prime Lineage
COMPANY
Store
FAQ & Contact
© 2026 Expand32 Sounds · expand32.github.io
Designed and built by Team Expand32, led by founder David Escobar · Querétaro, Mexico