A4 = 440 Hz · equal temperament. Sliders set relative amplitudes, normalized across selected notes.
Each vertex chooses one color from each pair: cyan/red, magenta/green, yellow/blue. Edge brightness shows its assigned note weight. Edge assignment is a display convention.
Select any of the 220 unordered three-note collections. Standard triads, suspended chords, and clusters all belong here.
Notes selected: 0 1 2 3 4 5 6 7 8 9 10 11 12 Collections: 1 12 66 220 495 792 924 792 495 220 66 12 1 4,096 total selections, including the empty set. 11 independent weights when 12 weights sum to 1. sound = volume * sum(weighted sine-wave signals)
C is the object's name; C4 is a particular musical note. The carrier is a point, not the empty set. Silence is the empty selection. The eleven dimensions describe normalized weight choices, not physical spacetime. Palette changes affect appearance. “The seal” names Bdim in this model. “Undecidable” needs a specified proposition before it has a formal meaning.
The twelve frequencies are the collective modes of a constructed coupling matrix. The cube organizes their labels; it does not impose local physical interactions. This model does not establish string theory or dark-matter control.
“God is the error corrector.”
Recorded as the creator's theological interpretation. Computational correctness is checked with explicit mathematical invariants.