31-EDO Music Theory: The Overtone Scale & Harmonic Approximation in 31edo

One of the most appealing features about 31edo is its ability to approximate the first 16 harmonics fairly well. While there is some error, given the small amount of 31 notes, it performs very well. #musictheory #31edo #Xenharmonic 00:00 Intro 00:10 8-16 Overtone Scale 00:48 The Vibes 01:46 Basic Construction 02:48 EDO Step vs Overtone 04:56 Voicing the 14th and 15th Harmonic Clash 05:40 Associated Chord Symbols 06:56 Harmonic Approximation and Relative Error of Harmonics 8-16 10:13 Just Intonation vs 31EDO 11:35 Harmonics 16-32 Error Check 12:19 Useful Chord Voicings 15:25 Conclusion