Canou: Difference between revisions
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== Overview == | == 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 | 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}. | ||
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:''— It sounds somewhat like a Phrygian scale but the abundance of small intervals of [[28/27]] makes it melodically active.'' | :''— 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. | 14- 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 == | == Scales == | ||
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Fokker blocks of 9, 14 and 19 tones are among the most useful canou scales. | Fokker blocks of 9, 14 and 19 tones are among the most useful canou scales. | ||
[[Category:Canou| ]] <!-- main article --> | [[Category:Canou| ]] <!-- main article --> | ||
[[Category:Rank-3 temperaments]] | |||
[[Category:Canou family]] | [[Category:Canou family]] | ||