Canou scales: Difference between revisions

The 9-note and 14-note scale has been proven to be Fokker blocks
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Tag: Manual revert
 
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7-limit transversal: 28/27, 81/70, 6/5, 980/729, 3/2, 14/9, 243/140, 9/5, 2/1.  
7-limit transversal: 28/27, 81/70, 6/5, 980/729, 3/2, 14/9, 243/140, 9/5, 2/1.  


In [[80edo]] (a simple, general-purpose tuning): 4, 17, 21, 34, 47, 51, 64, 68, 80.  
Tunings in [[80edo]] (a simple, distinctive tuning) and [[410edo]] (an intricate, accurate tuning) will be presented.
 
In 80edo: 4, 17, 21, 34, 47, 51, 64, 68, 80.  


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In [[410edo]] (an intricate, accurate tuning): 21, 87, 108, 174, 240, 261, 327, 348, 410.  
In 410edo: 21, 87, 108, 174, 240, 261, 327, 348, 410.  


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== Semicanou[10] ==
== Semicanou[10] ==
This is rank-2; the second generator is not used. Worth documenting anyway.  
This is a rank-2 scale without the second generator being used, documented for it has some good ratios.  


LsLss-LsLss
LsLss-LsLss
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== Semicanou[14] ==
== Semicanou[14] ==
LsmsLmm-LsmsLmm
where s = 28/27, m = 81/77, L = 35/33.
11-limit transversal:
Period 0: 35/33, 11/10, 81/70~140/121, 6/5, 14/11, 162/121~121/90, 99/70~140/99;
Period 1: 3/2, 14/9, 18/11, 56/33, 9/5, 154/81, 2/1.
13-limit transversal:
Period 0: 35/33, 11/10, 81/70~140/121, 6/5, 14/11, 162/121~121/90, 99/70~140/99;
Period 1: 3/2, 14/9, 18/11, 56/33, 9/5, 91/48, 2/1.
In 198edo: 17, 27, 42, 52, 69, 84, 99, 116, 126, 141, 151, 168, 183, 198.
<pre>
! semicanou14-198.scl
! Created using Scale Workshop 1.0.4
!
Semicanou[14] in 198edo
14
!
103.030303030
163.636363636
254.545454545
315.151515152
418.181818182
509.090909091
600.
703.030303030
763.636363636
854.545454545
915.151515152
1018.181818182
1109.090909091
1200.
</pre>
Notable modes:
* LmmLsms-LmmLsms (major-ish 5th mode)
* mLsmsLm-mLsmsLm (symmetric 7th mode)
=== Semicanou[14-a] ===
=== Semicanou[14-a] ===
 
A 14-note Fokker block for canou temperament.
This is a variation of semicanou[14].  


LsmLsmm-LsmLsmm
LsmLsmm-LsmLsmm


where s = 28/27, m = 81/77, L = 35/33.  
where s = 28/27, m = 81/77, L = 35/33.  
Unison vectors: {55/54, 121/120}


11-limit transversal:  
11-limit transversal:  
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=== Semicanou[14-b] ===
=== Semicanou[14-b] ===
This is the inversion of semicanou[14-a].  
This is the inversion of semicanou[14-a].  


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where s = 28/27, m = 81/77, L = 35/33.  
where s = 28/27, m = 81/77, L = 35/33.  
Unison vectors: {55/54, 121/120}


11-limit transversal:  
11-limit transversal:  
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[[Category:Scale]]
[[Category:9-tone scales]]
[[Category:10-tone scales]]
[[Category:14-tone scales]]
[[Category:19-tone scales]]
[[Category:Tempered scales]]
[[Category:Pages with mostly numerical content]]
[[Category:Canou]]
[[Category:Canou]]
[[Category:Pages with Scala files]]