Canou family: Difference between revisions

Line 21:

EDOs: {{EDOs|75, 80, 94, 99, 212, 292, 311, 410, 1131, 1541b}}

Badness: 0.~~001122~~

Badness: 1.122 × 10-3

== Semicanou ==

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Semicanou adds 9801/9800, the kalisma, to the comma list, and may be described as 80 & 94 & 118. It splits the octave into two equal parts, each representing 99/70. Note that 99/70 = (81/70)×(11/9), this extension is more than natural.

The other comma necessary to define it is 14641/14580], which is the difference between [[121/120]] and [[243/242]]. By flattening the 11th harmonic by one cent, it identifies [[20/11]] by three [[11/9]]'s stacked, so an octave can be divided into 11/9-11/9-11/9-11/10.

The other comma necessary to define it is 14641/14580, which is the difference between [[121/120]] and [[243/242]]. By flattening the 11th harmonic by one cent, it identifies [[20/11]] by three [[11/9]]'s stacked, so an octave can be divided into 11/9-11/9-11/9-11/10.

Still 80edo can be used as a tuning. Other options include 94edo, 118edo, and [[104edo]] in 104c val.

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EDOs: {{EDOs|80, 94, 118, 198, 212, 292, 330e, 410}}

Badness: 0.~~002197~~

Badness: 2.197 × 10-3

=== 13-limit ===

Line 52:

EDOs: {{EDOs|80, 94, 118, 174d, 198}}

Badness: 2.701 × 10-3

[[Category:Temperament]]

[[Category:Family]]

[[Category:Canou]]

@@ Line 21: / Line 21: @@
 EDOs: {{EDOs|75, 80, 94, 99, 212, 292, 311, 410, 1131, 1541b}}
-Badness: 0.001122
+Badness: 1.122 × 10<sup>-3</sup>
 == Semicanou ==
@@ Line 27: / Line 27: @@
 Semicanou adds 9801/9800, the kalisma, to the comma list, and may be described as 80 & 94 & 118. It splits the octave into two equal parts, each representing 99/70. Note that 99/70 = (81/70)×(11/9), this extension is more than natural.
-The other comma necessary to define it is 14641/14580], which is the difference between [[121/120]] and [[243/242]]. By flattening the 11th harmonic by one cent, it identifies [[20/11]] by three [[11/9]]'s stacked, so an octave can be divided into 11/9-11/9-11/9-11/10.
+The other comma necessary to define it is 14641/14580, which is the difference between [[121/120]] and [[243/242]]. By flattening the 11th harmonic by one cent, it identifies [[20/11]] by three [[11/9]]'s stacked, so an octave can be divided into 11/9-11/9-11/9-11/10.
 Still 80edo can be used as a tuning. Other options include 94edo, 118edo, and [[104edo]] in 104c val.
@@ Line 39: / Line 39: @@
 EDOs: {{EDOs|80, 94, 118, 198, 212, 292, 330e, 410}}
-Badness: 0.002197
+Badness: 2.197 × 10<sup>-3</sup>
 === 13-limit ===
@@ Line 52: / Line 52: @@
 EDOs: {{EDOs|80, 94, 118, 174d, 198}}
+Badness: 2.701 × 10<sup>-3</sup>
 [[Category:Temperament]]
 [[Category:Family]]
 [[Category:Canou]]