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The '''Canou XVII''' is a seventeen-note well temperament based on [[17edo|17-et]]. In summary, it is 1/5-comma superpyth in the natural keys and close to Neo-Gothic tuning in the remote keys. The goal is the same as that of [[User:FloraC/Flora's_12-note_well_temperament|Canou XII]], but this time superpyth instead of meantone.  
The '''Canou II''' is a seventeen-tone well temperament based on [[17edo|17et]]. In summary, it is 1/5-comma superpyth in the natural keys and close to Neo-Gothic tuning in the remote keys. The goal is the same as that of [[User:FloraC/Flora's 12-note well temperament|Canou I]], but this time superpyth instead of meantone.  


The result is pretty close to [[George Secor]]'s well temperament, but my design is with [[9/7]] in mind instead of [[14/11]], basically the opposite of his. The distribution of the two tunings is also quite different.  
The result is pretty close to [[George Secor]]'s well temperament, but this design prioritizes targeting [[9/7]] instead of [[14/11]], basically the opposite of Secor's. The distribution of the generators is also quite different.  


== Definition ==
== Definition ==
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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 tempered to three sizes: ''G''<sub>1</sub>, ''G''<sub>2</sub>, and ''G''<sub>3</sub>. Their sizes and places are shown below.  
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¢
* ''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
* ''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¢
* ''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.  


=== As Scala file ===
=== As Scala file ===
<pre>
<pre>
! canou17d.scl
! canou2d.scl
!
!
Canou XVII, Flora Canou's well temperament based on 17-et, starting with D = 0
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]]
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