The Harmonic Table
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bond
Jul 26, 2026 at 3:00 pm (edited)
The most common isomorphic Board. Excellent for chords. Requires practice to play melodies.
Also known as Tonnetz, first described by Euler 1739 in "Tentamen novae theoriae musicae ex certissismis harmoniae principiis dilucide expositae."
Next to the lambdoma, this structure contains all possible triads as interlocking strongly connected shapes - Major Minor Augmented and Diminished plus the sus2 and sus4 chords - & is very likely the most useful & best kept secret in music theory.
iotaTONE exploits the economy of the Harmonic Table, & precisely applies these relationships across the audible range.
bond
Jul 26, 2026 at 4:16 pm (edited)
I found a strongly connected alternate Major scale on the harmonic table. (in this case C). Notice it avoids 1/1 entirely.
