Mathematics and the documentation of intangible cultural heritage: The sound of the Trevi Fountain in Rome

The highly complex sound of water is part of the cultural heritage of Piazza Fontana di Trevi. The spectral and temporal complexity of the signal defies classical methods, also due to the spatial organization of the fountain. We report on the sound on the larger scale of the piazza and its surroundings, by reviewing instrumental, perceptive and numerical simulations surveys. Trevi is a “mostra d acqua”: a fountain at the end of aqueducts exhibiting visually and auditively the richness of their waters.