4 ms·
For ii, I find it helps to add 10:9 to the list I gave earlier, I just omitted it to stay within the familiar framework of 12 notes-to-the-octave. 12 really is
by elihu 6y ago
For ii, I find it helps to add 10:9 to the list I gave earlier, I just omitted it to stay within the familiar framework of 12 notes-to-the-octave. 12 really isn't enough, though, in a lot of cases.
Here's a visualization I like, that uses 22 notes: https://www.youtube.com/watch?v=jA1C9VFqJKo https://www.youtube.com/watch?v=jA1C9VFqJKo
Speaking of large-number EDOs, some people I know locally are doing guitar conversions to 41-EDO. The trick that seems like it absolutely shouldn't work but it does is to omit half the frets, so that only half of the notes are available on each string.
https://en.xen.wiki/w/The_Kite_Guitar https://en.xen.wiki/w/The_Kite_Guitar
- kmill 6y agoOh, 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