3 ms·
The actual shape in this diagram contains five octaves. That's 60 semitones. The 60 semitones correspond to minutes on a clock, of course. The correspondence be
by lucasgonze 10y ago
The actual shape in this diagram contains five octaves. That's 60 semitones. The 60 semitones correspond to minutes on a clock, of course. The correspondence between music theory and time is not accidental. Both came out of Babylonian numerology, which had a thing with the integers that pop out of trigonometry - 12, 60, 360.
Thanks for pointing out the "two circles" way of factoring a torus. I hadn't thought of that.
- qiuwob 10y agocould you elaborate on the toroidal structure for people like me who don't know music theory please ? what are the two fundamental cycles that make ZxZ ? I see semitones going around the main circle - but how are they connected back to themselves the other way ?
- lucasgonze 10y agoHere is a cross-section drawing I did of the toroidal structure. This is for minor thirds instead of whole tones, meaning that there are three semitones per winding instead of two. https://goo.gl/photos/U6gKHvRTUtM3p49z7 https://goo.gl/photos/U6gKHvRTUtM3p49z7