This is a fascinating read. I look forward to future posts and references to the lattice. Thanks for the tip about Oliver Byrne's edition of Elements. I was put off reading Euclid in the original for the reason you gave.
I’m excited for lattices! I’ll throw out there, re: loudness, that the perception of loudness seems very peculiar and contextual. There is decibel levels, of course, which I guess would be easily lattice-able, but I think a lot of the perception of loudness, especially in smaller increments, is more a function of timbre (pitch) than anything else. Perhaps another thing for your stack!
Now I'm inspired. I agree it's probably not useful to try to lattice loudness, as I'm not sure that we perceive it in ratio relationships. But you could certainly represent it with something like brightness of points? You can show the simple tones that make up the harmonic partials of a note on a lattice... if you then represented their relative loudnesses with brightness of points that could be a way to visualize timbre.
... or, you could just use a spectrograph 😆 do you see me all trying to reinvent the wheel there
This is a fascinating read. I look forward to future posts and references to the lattice. Thanks for the tip about Oliver Byrne's edition of Elements. I was put off reading Euclid in the original for the reason you gave.
I’m excited for lattices! I’ll throw out there, re: loudness, that the perception of loudness seems very peculiar and contextual. There is decibel levels, of course, which I guess would be easily lattice-able, but I think a lot of the perception of loudness, especially in smaller increments, is more a function of timbre (pitch) than anything else. Perhaps another thing for your stack!
Now I'm inspired. I agree it's probably not useful to try to lattice loudness, as I'm not sure that we perceive it in ratio relationships. But you could certainly represent it with something like brightness of points? You can show the simple tones that make up the harmonic partials of a note on a lattice... if you then represented their relative loudnesses with brightness of points that could be a way to visualize timbre.
... or, you could just use a spectrograph 😆 do you see me all trying to reinvent the wheel there