1-3-7-9 hexany: Difference between revisions

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The simplest no-5's [[Hexany]]. This creates a scale of 1 9/8 7/6 21/16 3/2 7/4 2/1, with steps of 9/8 28/27 9/8 8/7 7/6 8/7. This is particularly interesting, because it can be viewed as a detemper of the basic [[archy]] diatonic scale in the same way that the [[1-3-5-9 hexany]] detempers [[meantone]]. Like those, the septimal pentatonic scale is more even, but has a smaller diatonic semitone once extended to a hexatonic scale. Similarly, major chords are simpler in the 5-limit, while minor ones are simpler in the 7-limit, making the notes with minor chords above them the more obvious roots. Since the notes are fairly evenly spaced and none are more than 33 cents away from 12edo, it maps unambiguously to a standard keyboard layout.

[[File:1-3-7-9_Hexany.png|thumb|Circle diagram.]] The simplest no-5's [[Hexany]]. This creates a scale of 1 9/8 7/6 21/16 3/2 7/4 2/1, with steps of 9/8 28/27 9/8 8/7 7/6 8/7. This is particularly interesting, because it can be viewed as a detemper of the basic [[archy]] diatonic scale in the same way that the [[1-3-5-9 hexany]] detempers [[meantone]]. Like those, the septimal pentatonic scale is more even, but has a smaller diatonic semitone once extended to a hexatonic scale. Similarly, major chords are simpler in the 5-limit, while minor ones are simpler in the 7-limit, making the notes with minor chords above them the more obvious roots. Since the notes are fairly evenly spaced and none are more than 33 cents away from 12edo, it maps unambiguously to a standard keyboard layout.

<pre>

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== Music ==

* [[Phexioenesystems]]: [https://phexioenesystems.bandcamp.com/track/squid-axon-canon-hexany-1-3-7-9 Squid Axon Canon]

; [[Daniel Corral]]

* [[Sevish]]: ''[[Murmurations]]'' (3rd part). ''[[Hexdeep]]''

* [https://spinalfrog.bandcamp.com/track/hexany-one-1-3-7-9 Hexany One]

* [[Tito Silversax]]: [https://titosilversax.bandcamp.com/track/hexany1379-magic-mirror magic mirror]. [https://titosilversax.bandcamp.com/track/ring-2 Ring(2)]

* [https://spinalfrog.bandcamp.com/track/hexany-three-1-3-7-9-transposed-by-20-11 Hexany Three]

; [[Hydracuddler]]

* ''[https://soundcloud.com/user-654750158/there-should-be-a-name-for-it-elsewhere There Should Be A Name For It Elsewhere]''

; [[Emmett Nelson]]

* ''[https://soundcloud.com/emmett-nelson-346953569/stepping-stones Stepping Stones]''

; [[Phexioenesystems]]

* ''[https://phexioenesystems.bandcamp.com/track/squid-axon-canon-hexany-1-3-7-9 Squid Axon Canon]''

; [[Sevish]]

* ''[[Murmurations]]'' (3rd part)

* ''[[Hexdeep]]''

; [[Tito Silversax]]

* ''[https://titosilversax.bandcamp.com/track/hexany1379-magic-mirror magic mirror]''

* ''[https://titosilversax.bandcamp.com/track/ring-2 Ring(2)]''

* ''[https://www.youtube.com/watch?v=beuNv67ofM0 In a Winter Spell]''

* ''[https://www.youtube.com/watch?v=tuzmxdLxQO4 Cinders #5]

[[Category:Hexanies]]

~~[[Category:Combination product sets]]~~

[[Category:6-tone scales]]

[[Category:Pages with Scala files]]

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-The simplest no-5's [[Hexany]]. This creates a scale of 1 9/8 7/6 21/16 3/2 7/4 2/1, with steps of 9/8 28/27 9/8 8/7 7/6 8/7. This is particularly interesting, because it can be viewed as a detemper of the basic [[archy]] diatonic scale in the same way that the [[1-3-5-9 hexany]] detempers [[meantone]]. Like those, the septimal pentatonic scale is more even, but has a smaller diatonic semitone once extended to a hexatonic scale. Similarly, major chords are simpler in the 5-limit, while minor ones are simpler in the 7-limit, making the notes with minor chords above them the more obvious roots. Since the notes are fairly evenly spaced and none are more than 33 cents away from 12edo, it maps unambiguously to a standard keyboard layout.
+[[File:1-3-7-9_Hexany.png|thumb|Circle diagram.]]  The simplest no-5's [[Hexany]]. This creates a scale of 1 9/8 7/6 21/16 3/2 7/4 2/1, with steps of 9/8 28/27 9/8 8/7 7/6 8/7. This is particularly interesting, because it can be viewed as a detemper of the basic [[archy]] diatonic scale in the same way that the [[1-3-5-9 hexany]] detempers [[meantone]]. Like those, the septimal pentatonic scale is more even, but has a smaller diatonic semitone once extended to a hexatonic scale. Similarly, major chords are simpler in the 5-limit, while minor ones are simpler in the 7-limit, making the notes with minor chords above them the more obvious roots. Since the notes are fairly evenly spaced and none are more than 33 cents away from 12edo, it maps unambiguously to a standard keyboard layout.
 <pre>
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 == Music ==
-* [[Phexioenesystems]]: [https://phexioenesystems.bandcamp.com/track/squid-axon-canon-hexany-1-3-7-9 Squid Axon Canon]
+; [[Daniel Corral]]
-* [[Sevish]]: ''[[Murmurations]]'' (3rd part). ''[[Hexdeep]]''
+* [https://spinalfrog.bandcamp.com/track/hexany-one-1-3-7-9 Hexany One]
-* [[Tito Silversax]]: [https://titosilversax.bandcamp.com/track/hexany1379-magic-mirror magic mirror]. [https://titosilversax.bandcamp.com/track/ring-2 Ring(2)]
+* [https://spinalfrog.bandcamp.com/track/hexany-three-1-3-7-9-transposed-by-20-11 Hexany Three]
+; [[Hydracuddler]]
+* ''[https://soundcloud.com/user-654750158/there-should-be-a-name-for-it-elsewhere There Should Be A Name For It Elsewhere]''
+; [[Emmett Nelson]]
+* ''[https://soundcloud.com/emmett-nelson-346953569/stepping-stones Stepping Stones]''
+; [[Phexioenesystems]]
+* ''[https://phexioenesystems.bandcamp.com/track/squid-axon-canon-hexany-1-3-7-9 Squid Axon Canon]''
+; [[Sevish]]
+* ''[[Murmurations]]'' (3rd part)
+* ''[[Hexdeep]]''
+; [[Tito Silversax]]
+* ''[https://titosilversax.bandcamp.com/track/hexany1379-magic-mirror magic mirror]''
+* ''[https://titosilversax.bandcamp.com/track/ring-2 Ring(2)]''
+* ''[https://www.youtube.com/watch?v=beuNv67ofM0 In a Winter Spell]''
+* ''[https://www.youtube.com/watch?v=tuzmxdLxQO4 Cinders #5]
 [[Category:Hexanies]]
-[[Category:Combination product sets]]
 [[Category:6-tone scales]]
 [[Category:Pages with Scala files]]