3-7-13-15 hexany: Difference between revisions

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[[File:3-7-13-15_Hexany.png|thumb|Circle diagram.]] A [[13-limit]] [[Hexany]]. This creates a scale of 1 15/14 13/12 65/56 5/4 13/7 2/1, with steps of 15/14 91/90 15/14 14/13 52/35 14/13. This is a very incomplete detemper of [[negri]] temperament, a chain of 13/12's, 14/13/s and 15/14/s that doesn't even reach halfway around the octave, while distinguishing a couple of notes that are conflated in the linear temperament by the tempering out of [[91/90]]. There are still some consonant chords to be found here, but it needs expanding out to a dekany or bihexany to fill in the gap and make compositions possible that are not extremely limited in range.

[[File:3-7-13-15_Hexany.png|thumb|Circle diagram.]] A [[13-limit]] [[Hexany]]. This creates a scale of 1 15/14 13/12 65/56 5/4 13/7 2/1, with steps of 15/14 91/90 15/14 14/13 52/35 14/13. This is a very incomplete detemper of [[negri]] temperament, a chain of 13/12's, 14/13/s and 15/14/s that doesn't even reach halfway around the octave, while distinguishing a couple of notes that are conflated in the linear temperament by the tempering out of [[91/90]]. There are still some consonant chords to be found here, but it needs expanding out to a dekany or bihexany to fill in the gap and make compositions possible that are not extremely limited in range, as the following examples demonstrate.

* [[3-7-13-15 by 4/3 bihexany]]

* [[3-7-13-15 by 7/5 bihexany]]

* [[3-7-13-15 by 21/13 bihexany]]

<pre>

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[[Category:6-tone scales]]

[[Category:Pages with Scala files]]

[[Category:Negri]]

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-[[File:3-7-13-15_Hexany.png|thumb|Circle diagram.]] A [[13-limit]] [[Hexany]]. This creates a scale of 1 15/14 13/12 65/56 5/4 13/7 2/1, with steps of 15/14 91/90 15/14 14/13 52/35 14/13. This is a very incomplete detemper of [[negri]] temperament, a chain of 13/12's, 14/13/s and 15/14/s that doesn't even reach halfway around the octave, while distinguishing a couple of notes that are conflated in the linear temperament by the tempering out of [[91/90]]. There are still some consonant chords to be found here, but it needs expanding out to a dekany or bihexany to fill in the gap and make compositions possible that are not extremely limited in range.
+[[File:3-7-13-15_Hexany.png|thumb|Circle diagram.]] A [[13-limit]] [[Hexany]]. This creates a scale of 1 15/14 13/12 65/56 5/4 13/7 2/1, with steps of 15/14 91/90 15/14 14/13 52/35 14/13. This is a very incomplete detemper of [[negri]] temperament, a chain of 13/12's, 14/13/s and 15/14/s that doesn't even reach halfway around the octave, while distinguishing a couple of notes that are conflated in the linear temperament by the tempering out of [[91/90]]. There are still some consonant chords to be found here, but it needs expanding out to a dekany or bihexany to fill in the gap and make compositions possible that are not extremely limited in range, as the following examples demonstrate.
+* [[3-7-13-15 by 4/3 bihexany]]
+* [[3-7-13-15 by 7/5 bihexany]]
+* [[3-7-13-15 by 21/13 bihexany]]
 <pre>
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 [[Category:6-tone scales]]
 [[Category:Pages with Scala files]]
+[[Category:Negri]]