Visual representation of harmony. The space of multiplicities (lattice)

Roman Oleinikov’s lecture at the 3rd International Conference “Music-Mathematics-Natural Science“ at the Moscow State Conservatory, April 18, 2018 How natural-science approach explain musical harmony. How nature of sound forms such musical phenomenon as intervals, chords, tonalities, modes etc. Which way of music development can be predicted by science. Thanks to Benjamin Skepper and Elena Kocherova for help in translating. Please, write in comments which video on our channel you want to be translated. (Tit