User:FloraC/Flora's 17-note well temperament: Difference between revisions
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The commas in consideration are the [[17-comma]] ~ 66.7650¢, denoted ''p'', and the [[septimal comma]] ~ 27.2641¢, denoted ''c''. | The commas in consideration are the [[17-comma]] ~ 66.7650¢, denoted ''p'', and the [[septimal comma]] ~ 27.2641¢, denoted ''c''. | ||
The generator is a perfect fifth | The generator is a perfect fifth, which comes in three sizes, with eight 1/5-comma superpyth fifths, a 17edo fifth, and eight neogothic fifths. Specifically, | ||
* '' | * ''g''<sub>1</sub> = P5 + ''c''/5 ~ 707.4078¢ | ||
: at Bb–F, F–C, C–G, G–D, D–A, A–E, E–B, B–F#. | : at Bb–F, F–C, C–G, G–D, D–A, A–E, E–B, B–F#. | ||
* '' | * ''g''<sub>2</sub> = P5 + ''p''/17 ~ 705.8824¢ = 10\17 | ||
: at F#–C#. | : at F#–C#. | ||
* '' | * ''g''<sub>3</sub> = P5 + 2''p''/17 - ''c''/5 ~ 704.3569¢ | ||
: at C#–G#, G#–D#, D#–A#, A#–Gb, Gb–Db, Db–Ab, Ab–Eb, Eb–Bb. | : at C#–G#, G#–D#, D#–A#, A#–Gb, Gb–Db, Db–Ab, Ab–Eb, Eb–Bb. | ||
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! canou2d.scl | ! canou2d.scl | ||
! | ! | ||
Canou II, Flora Canou's second well temperament, D = 0, single | Canou II, Flora Canou's second well temperament, D = 0, single circle edition | ||
17 | 17 | ||
! | ! | ||
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Similarly, the neutral third (diminished fourth) ranges mostly between [[11/9]] and [[16/13]], with the smallest interval of 340.737¢ at F#–Bb and the largest interval of 365.145¢ at Bb–C#. | Similarly, the neutral third (diminished fourth) ranges mostly between [[11/9]] and [[16/13]], with the smallest interval of 340.737¢ at F#–Bb and the largest interval of 365.145¢ at Bb–C#. | ||
[[Category:Pages with Scala files]] | |||
[[Category:17-tone scales]] | |||
[[Category:Tempered scales]] | |||