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A Hamiltonian cycle through [0,2,5], [0,4,5], Major, and Minor chords
Автор: Alexandre Popoff
Загружено: 2025-11-26
Просмотров: 4
Описание:
We explore a hamiltonian cycle in the graph created by connecting pitch-class sets from set classes 3-7A, 3-4B, 3-11A, and 3-11B ([0,2,5], [0,4,5], major, and minor triads) whenever they differ by only pitch class.
In this hamiltonian cycle we play all chords sequentially on the piano, passing only once through each of them.
This is an algorithmically generated video using Python for creating the graph, finding hamiltonian cycles, rendering audio and video, and generating the final video.
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![A Hamiltonian cycle through [0,2,5], [0,4,5], Major, and Minor chords](https://imager.clipsaver.ru/dIXdFjBnRDc/max.jpg)
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![A Hamiltonian cycle through Major/Minor 7th/[0,4,5,7]/Half-diminished 7th/Major 7th flat five chords](https://image.4k-video.ru/id-video/y-40GLuFV9o)
