11-limit tuning and intervals

Harry Partch's 43-tone scale

The 43-tone scale is a just intonation scale with 43 pitches in each octave. It is based on an eleven-limit tonality diamond, similar to the seven-limit diamond previously devised by Max Friedrich Meyer and refined by Harry Partch. The first of Partch's "four concepts" is "The scale of musical intervals begins with absolute consonance (1 to 1) and gradually progresses into an infinitude of dissonance, the consonance of the intervals decreasing as the odd numbers of their ratios increase." Almost all of Partch's music is written in the 43-tone scale, and although most of his instruments can play only subsets of the full scale, he used it as an all-encompassing framework. (Wikipedia).

Harry Partch's 43-tone scale
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Related pages

Septimal tritone | Cent (music) | Neutral third | Unison | 41 equal temperament | Perfect fifth | Pythagorean tuning | Equal temperament | Neutral sixth | Septimal chromatic semitone | Syntonic comma | Septimal major third | Perfect fourth