User:Nick Vuci/Moments of Symmetry
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WORK-IN-PROGRESS AS OF 27 MAY 2025
Moments of Symmetry (MOS) are a family of scales created by a simple procedure and which extend the qualities of popular scales (such as the pentatonic and diatonic scales) into
Constructing Moments of Symmetry
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An interval is chosen to be the period (the 1200 cent octave in this example). In this visual the period is a circle and intervals are represented with purple lines and points radiating out from the middle which move clockwise.
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An interval is chosen to be a generator (the 700 cent perfect fifth in this example). This is the 1L 2s MOS pattern.
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Stacking the generator upon itself yields a scale with 2 step sizes This is the 2L 1s MOS pattern.
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Stacking the generator 2 times yields a scale with 3 step sizes (not MOS).
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Stacking the generator 3 times yields a scale with 2 step sizes. This is the 2L 3s MOS pattern.
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Stacking the generator five times yields a scale with three step sizes (not MOS).
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Stacking the generator 6 times yields a scale with 2 step sizes. This is the 5L 2s MOS pattern.