Bibliography & method
Every experiment is an invitation to verify the claim. This page holds the sources behind all of them.
“Musical Phonology” supplies the opening architecture: the child’s call, vibrating string, sympathetic resonance, harmonic series, octave, fifth, triad, and the analogy between musical and linguistic universals.
Harvard University Press · lectures delivered 1973“Consonance and Dissonance” supplies the argument that near and remote partials differ in degree rather than kind; the next chapter explores scale and chord as horizontal and vertical interpretations of a tone.
First published 1911 · English translation by Roy E. CarterCore reference layer
Used as the public, linkable backbone for definitions, equations, and chronology. Each article points onward to specialist sources.
Hear the number. A displayed frequency should be playable; a visual ratio should change the sound.
Separate fact from story. Acoustics, psychoacoustics, history, and metaphor explain different layers.
Keep the door open. Western tonal theory is one deep tradition, not the definition of music.
Bibliography · Reference map
Add or remove remembered ratios, then play the constellation together and one note at a time. Notice how settled or tense each remembered relationship sounds. Every point recalls an interval carried from another room; the controls redraw that accumulated record without changing it. The map gathers the sounds you tested across the museum into one picture.
Add or remove remembered ratios, then play them together and one note at a time. Hear how settled or tense each relationship sounds. Every point carries an interval from another room without changing its record. The map gathers the sounds you tested across the museum.