Research

Time as a relation between clocks

Personal research, born between the physics I studied in Pisa and music. What if time were not a flow, but the way rhythms compare with one another?

The Resonance Code

The second edition of the book: sixteen chapters on rhythm, clocks and time, written for musicians and the curious. In Italian and English, with a free preview.

It's ready and coming soon to Gumroad.

The ideas, in four drawings

A helix and one of its turns unrolled into a right triangle.
The helixA moving clock traces a helix: its path is split between turning, which is time, and moving forward, which is space.
Five clocks linked to one another by thin lines.
The network of clocksEach clock compares its rhythm with the others: the table of these ratios describes spacetime.
The lattice of fifths and thirds, with two different Es highlighted.
Harmonic spaceIn the lattice of fifths and thirds you can reach E in two ways, and the two Es don't coincide: the gap between them is the comma.
Concentric spheres next to a light cone reflected in the line of the present.
The mirror of the presentAfter the Big Bang the sphere of light expands, and the later instants sit inside it. In the mirror of the present, the future is reflected into the past.

The lab

Spaziotempo relazionale is the app where musical distances become geometry: a three-dimensional harmony explorer, with a synthesizer and MIDI control.

Discover Spaziotempo relazionale

Where the research stands

The research is ongoing. The technical papers are drafts, not yet public; the book tells their ideas for a general audience.