1-3-7-9 hexany - Revision history

Yourmusic Productions: Not rotated.

2025-10-10T21:03:43Z

Not rotated.

← Older revision		Revision as of 21:03, 10 October 2025
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	[[File:1-3-7-9_Hexany.png\|thumb\|Circle diagram ~~(rotated)~~.]] 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>		<pre>

Yourmusic Productions: Replace incorrect circle diagram.

2025-10-10T21:03:06Z

Replace incorrect circle diagram.

← Older revision		Revision as of 21:03, 10 October 2025
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	[[File:~~Hexany~~ 1 5 7 11.png\|thumb\|Circle diagram (rotated).]] 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 (rotated).]] 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>		<pre>

BudjarnLambeth at 02:54, 5 October 2025

2025-10-05T02:54:28Z

← Older revision		Revision as of 02:54, 5 October 2025
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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:Hexany 1 5 7 11.png\|thumb\|Circle diagram (rotated).]] 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>		<pre>

Yourmusic Productions: Add music.

2025-08-20T17:58:11Z

Add music.

← Older revision		Revision as of 17:58, 20 August 2025
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	* [https://spinalfrog.bandcamp.com/track/hexany-one-1-3-7-9 Hexany One]		* [https://spinalfrog.bandcamp.com/track/hexany-one-1-3-7-9 Hexany One]
	* [https://spinalfrog.bandcamp.com/track/hexany-three-1-3-7-9-transposed-by-20-11 Hexany Three]		* [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]]		; [[Emmett Nelson]]
	* [https://soundcloud.com/emmett-nelson-346953569/stepping-stones Stepping Stones]		* ''[https://soundcloud.com/emmett-nelson-346953569/stepping-stones Stepping Stones]''

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

	; [[Sevish]]		; [[Sevish]]

Yourmusic Productions: Add music.

2025-08-20T17:17:02Z

Add music.

← Older revision		Revision as of 17:17, 20 August 2025
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	* [https://spinalfrog.bandcamp.com/track/hexany-one-1-3-7-9 Hexany One]		* [https://spinalfrog.bandcamp.com/track/hexany-one-1-3-7-9 Hexany One]
	* [https://spinalfrog.bandcamp.com/track/hexany-three-1-3-7-9-transposed-by-20-11 Hexany Three]		* [https://spinalfrog.bandcamp.com/track/hexany-three-1-3-7-9-transposed-by-20-11 Hexany Three]

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

	; [[Phexioenesystems]]		; [[Phexioenesystems]]

Yourmusic Productions: Add music.

2025-08-19T11:49:05Z

Add music.

← Older revision		Revision as of 11:49, 19 August 2025
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	* ''[https://titosilversax.bandcamp.com/track/ring-2 Ring(2)]''		* ''[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=beuNv67ofM0 In a Winter Spell]''
			* ''[https://www.youtube.com/watch?v=tuzmxdLxQO4 Cinders #5]

	[[Category:Hexanies]]		[[Category:Hexanies]]
	[[Category:6-tone scales]]		[[Category:6-tone scales]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]

Yourmusic Productions: Add music.

2025-08-19T10:27:23Z

Add music.

← Older revision		Revision as of 10:27, 19 August 2025
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	; [[Tito Silversax]]		; [[Tito Silversax]]
	* [https://titosilversax.bandcamp.com/track/hexany1379-magic-mirror magic mirror]		* ''[https://titosilversax.bandcamp.com/track/hexany1379-magic-mirror magic mirror]''
	* [https://titosilversax.bandcamp.com/track/ring-2 Ring(2)]		* ''[https://titosilversax.bandcamp.com/track/ring-2 Ring(2)]''
			* ''[https://www.youtube.com/watch?v=beuNv67ofM0 In a Winter Spell]''

	[[Category:Hexanies]]		[[Category:Hexanies]]
	[[Category:6-tone scales]]		[[Category:6-tone scales]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]

Fredg999 category edits: Removing from Category:Combination product sets using Cat-a-lot

2025-08-17T20:30:36Z

Removing from Category:Combination product sets using Cat-a-lot

← Older revision		Revision as of 20:30, 17 August 2025
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	[[Category:Hexanies]]		[[Category:Hexanies]]
	~~[[Category:Combination product sets]]~~
	[[Category:6-tone scales]]		[[Category:6-tone scales]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]

Yourmusic Productions: Add music.

2025-08-16T09:35:34Z

Add music.

← Older revision		Revision as of 09:35, 16 August 2025
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	; [[Daniel Corral]]		; [[Daniel Corral]]
	* [https://spinalfrog.bandcamp.com/track/hexany-one-1-3-7-9 Hexany One]		* [https://spinalfrog.bandcamp.com/track/hexany-one-1-3-7-9 Hexany One]
			* [https://spinalfrog.bandcamp.com/track/hexany-three-1-3-7-9-transposed-by-20-11 Hexany Three]

	; [[Phexioenesystems]]		; [[Phexioenesystems]]

Fredg999: /* Music */ Style

2025-08-14T20:41:31Z

Music: Style

← Older revision		Revision as of 20:41, 14 August 2025
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	== Music ==		== Music ==
	* [[Daniel Corral]]: [https://spinalfrog.bandcamp.com/track/hexany-one-1-3-7-9 Hexany One]		; [[Daniel Corral]]
	* [[Phexioenesystems]]: [https://phexioenesystems.bandcamp.com/track/squid-axon-canon-hexany-1-3-7-9 Squid Axon Canon]		* [https://spinalfrog.bandcamp.com/track/hexany-one-1-3-7-9 Hexany One]
	* [[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)]		; [[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)]

	[[Category:Hexanies]]		[[Category:Hexanies]]
	[[Category:Combination product sets]]		[[Category:Combination product sets]]
	[[Category:6-tone scales]]		[[Category:6-tone scales]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]