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The earliest known scientific hypothesis test was a Pythagorean investigation of whether the mathematical model for consonance in stringed instruments generaliz
by dr_dshiv 3y ago
The earliest known scientific hypothesis test was a Pythagorean investigation of whether the mathematical model for consonance in stringed instruments generalized to chimes — so rather than 1:2 as a ratio of string length, whether a ratio of 1:2 in chime thickness also produces an octave. It does. (This experiment was conducted by Hippasus and recorded by Aristoxenus, a student of Aristotle)
But interestingly, we still have big open gaps in our scientific models of consonance and dissonance.
Consonant tones involve a large number of shared harmonics. That alignment appears to be important in the perception of consonance and dissonance. Yet, harmonic alignment is not currently a mechanism used in the algorithmic detection of consonance/dissonance, so far as I know. This tool looks like a good way to generate stimuli for experimentation, thanks!
- mrob 3y agoWilliam Sethares developed a model of consonance and dissonance based around alignment of harmonics (or partials; it generalizes to inharmonic sounds). Original paper: https://sethares.engr.wisc.edu/paperspdf/consonance.pdf https://sethares.engr.wisc.edu/paperspdf/consonance.pdf Informal explanation: https://sethares.engr.wisc.edu/consemi.html https://sethares.engr.wisc.edu/consemi.html