Tripod Notation: Difference between revisions
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Tricycle Notation is cyclic in the sense that the three pitch regions are constantly shifting and a pitch can modulate through syntonic commas and end up on the wheel it started although a tuning to just intonation or a rank 3 temperament will leave it shifted by 3 syntonic commas. The rule for assigning wheels is simple: each pitch of a major or minor triad sits on a different wheel. As an extension, each pitch of a 6:7:9 subminor triad and the related supermajor triad sits on a different wheel. Furthermore, each pitch of an extended Pythagorean sus4 or sus2 triad sits on a different wheel. Dominant seventh chords have different wheel assignments corresponding to different tunings. | Tricycle Notation is cyclic in the sense that the three pitch regions are constantly shifting and a pitch can modulate through syntonic commas and end up on the wheel it started although a tuning to just intonation or a rank 3 temperament will leave it shifted by 3 syntonic commas. The rule for assigning wheels is simple: each pitch of a major or minor triad sits on a different wheel. As an extension, each pitch of a 6:7:9 subminor triad and the related supermajor triad sits on a different wheel. Furthermore, each pitch of an extended Pythagorean sus4 or sus2 triad sits on a different wheel. Dominant seventh chords have different wheel assignments corresponding to different tunings. | ||
=== Tricolour Keyboards === | |||
Tripod Notation can be shown on a generalized keyboard by giving each foot a different colour giving a Tricolour metaphor relating to certain national flags. A generalized layout consistent with Meantone Temperament and correct choice of colour specify a rank 3 tuning consistent with 5-limit just intonation or Marvel Temperament. | |||
[http://x31eq.com/lumatone/magic.html Tricolour keyboards] are implemented on the Lumatone. | |||