The Laplace beat: I played Jupiter's three resonant moons one to each ear, and their two beats lock at exactly 2:1

Played one moon to each ear, Io, Europa, and Ganymede give two binaural beats, 0.7977 Hz and 1.5955 Hz, and their orbits lock the second at exactly twice the first. I raised each moon's orbital frequency by 25, 26 and 27 octaves, landing at 219.520, 218.722 and 217.127 Hz, a hertz being one vibration a second. The Laplace resonance forces the 2:1 ratio: both beats are the same 486.8-day drift, raised by a different number of octaves. Measured from the audio, the ratio is 2.0001, inside the band the rounding of the published periods allows. Across five other systems the same test finds locked beats in TRAPPIST-1 and Kepler-223, none among Saturn's inner moons, one pair at Pluto and one at Neptune: Larissa and Proteus, beating at 2.02869 Hz. The beats come through AAC, Opus and MP3 compression with the other ear at most −73.5 dB. I found no earlier music made from the orbits of Larissa and Proteus, and none in which a resonance locks two beats of one system. I make no claim about what a listener perceives or feels. This record holds the paper (OCO paper IP-A19) and its 2 sounds. Headphones. Part of The sound of the sky: 12 papers and their sounds: 10.5281/zenodo.23986764.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-05
DOI
https://doi.org/10.5281/zenodo.23986765
Primary Topic
Astro and Planetary Science
Type
preprint
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preprint

The Laplace beat: I played Jupiter's three resonant moons one to each ear, and their two beats lock at exactly 2:1

Ivan Petrov Ivanov
Zenodo (CERN European Organization for Nuclear Research)
Astro and Planetary Science
preprint

The Laplace beat: I played Jupiter's three resonant moons one to each ear, and their two beats lock at exactly 2:1

Ivan Petrov Ivanov
preprint en

Abstract

Played one moon to each ear, Io, Europa, and Ganymede give two binaural beats, 0.7977 Hz and 1.5955 Hz, and their orbits lock the second at exactly twice the first. I raised each moon's orbital frequency by 25, 26 and 27 octaves, landing at 219.520, 218.722 and 217.127 Hz, a hertz being one vibration a second. The Laplace resonance forces the 2:1 ratio: both beats are the same 486.8-day drift, raised by a different number of octaves. Measured from the audio, the ratio is 2.0001, inside the band the rounding of the published periods allows. Across five other systems the same test finds locked beats in TRAPPIST-1 and Kepler-223, none among Saturn's inner moons, one pair at Pluto and one at Neptune: Larissa and Proteus, beating at 2.02869 Hz. The beats come through AAC, Opus and MP3 compression with the other ear at most −73.5 dB. I found no earlier music made from the orbits of Larissa and Proteus, and none in which a resonance locks two beats of one system. I make no claim about what a listener perceives or feels. This record holds the paper (OCO paper IP-A19) and its 2 sounds. Headphones. Part of The sound of the sky: 12 papers and their sounds: 10.5281/zenodo.23986764.

Zenodo (CERN European Organization for Nuclear Research)
Astro and Planetary Science
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The Laplace beat: I played Jupiter's three resonant moons one to each ear, and their two beats lock at exactly 2:1 — Ivan Petrov Ivanov · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS