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Oh, that's a great visualization! (And that's a wonderfully low-tech way of animating it.) I appreciate the Johnston notation, too, which made it easy for me t
by kmill 6y ago
Oh, that's a great visualization! (And that's a wonderfully low-tech way of animating it.) I appreciate the Johnston notation, too, which made it easy for me to follow.
The Well-Tuned Piano [1] also has a really nice lattice, though the Wikipedia page doesn't reflect this yet. (The B7+ should just be an A. I think scholars have taken La Monte Young too literally when he said everything was an overtone of an extremely low Eb.) Here, just drew a picture: https://imgur.com/S5OndL6.png https://imgur.com/S5OndL6.png (light gray is the piano key it's mapped to). It's illuminating taking the "chords" in Kyle Gann's paper and seeing them on this lattice, which shows major and minor septimal triads in each triangle.
[1] https://en.wikipedia.org/wiki/The_Well-Tuned_Piano https://en.wikipedia.org/wiki/The_Well-Tuned_Piano