Canou: Difference between revisions

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== Overview ==

The temperament was at first discovered as [[7-limit]] only, where it tempers out the [[canousma]], 4802000/4782969 = {{monzo| 4 -14 3 4 }}. It passes as a [[microtemperament]] with the [[9-odd-limit]] [[Minimax tuning|minimax]] error of 0.98[[¢]] (1/7 canousma). Extending it to the 2.3.5.7.17.19 subgroup adds virtually no additional error as the number of minimax error is also characteristic of the [[tonality diamond]] of 1.3.5.7.9.15.17.19.21.

The temperament was at first discovered as [[7-limit]] only, where it tempers out the [[canousma]], 4802000/4782969 = {{monzo| 4 -14 3 4 }}. It passes as a [[microtemperament]] with the [[9-odd-limit]] [[Minimax tuning|minimax]] error of 0.98[[¢]] (1/7 canousma). Extending it to the 2.3.5.7.17.19 subgroup adds virtually no additional error as the number of minimax error is also characteristic of the [[tonality diamond]] of {1, 3, 5, 7, 9, 15, 17, 19, 21}.

{| class="wikitable"

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:''— It sounds somewhat like a Phrygian scale but the abundance of small intervals of [[28/27]] makes it melodically active.''

14- and 19-note scales are also highly concise for the temperament. See [[#scales]] for more information.

== Interval lattice ==

File:Lattice Orthocanousmic.png

File:Lattice Orthocanousmic Rearranged.png

</gallery>

== Scales ==

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Fokker blocks of 9, 14 and 19 tones are among the most useful canou scales.

~~[[Category:Temperaments]]~~

[[Category:Canou| ]]

[[Category:Rank-3 temperaments]]

[[Category:Canou family]]

@@ Line 4: / Line 4: @@
 == Overview ==
-The temperament was at first discovered as [[7-limit]] only, where it tempers out the [[canousma]], 4802000/4782969 = {{monzo| 4 -14 3 4 }}. It passes as a [[microtemperament]] with the [[9-odd-limit]] [[Minimax tuning|minimax]] error of 0.98[[¢]] (1/7 canousma). Extending it to the 2.3.5.7.17.19 subgroup adds virtually no additional error as the number of minimax error is also characteristic of the [[tonality diamond]] of 1.3.5.7.9.15.17.19.21.
+The temperament was at first discovered as [[7-limit]] only, where it tempers out the [[canousma]], 4802000/4782969 = {{monzo| 4 -14 3 4 }}. It passes as a [[microtemperament]] with the [[9-odd-limit]] [[Minimax tuning|minimax]] error of 0.98[[¢]] (1/7 canousma). Extending it to the 2.3.5.7.17.19 subgroup adds virtually no additional error as the number of minimax error is also characteristic of the [[tonality diamond]] of {1, 3, 5, 7, 9, 15, 17, 19, 21}.
 {| class="wikitable"
@@ Line 48: / Line 48: @@
 :''— It sounds somewhat like a Phrygian scale but the abundance of small intervals of [[28/27]] makes it melodically active.''
 - and 19-note scales are also highly concise for the temperament. See [[#scales]] for more information.
+== Interval lattice ==
+<gallery>
+File:Lattice Orthocanousmic.png
+File:Lattice Orthocanousmic Rearranged.png
+</gallery>
 == Scales ==
@@ Line 55: / Line 61: @@
 Fokker blocks of 9, 14 and 19 tones are among the most useful canou scales.
-[[Category:Temperaments]]
 [[Category:Canou| ]] <!-- main article -->
+[[Category:Rank-3 temperaments]]
 [[Category:Canou family]]