Miscellaneous 16-form scales - Revision history

BudjarnLambeth: {{Navbox scale gallery}}

2025-09-28T03:11:16Z

← Older revision		Revision as of 03:11, 28 September 2025
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	A scale which uses many 5- and 7-limit intervals, intended as an alternative scale for Armodue theory that more closely matches 16edo and Armodue's theoretical basis as a 2.5.7 system.		A scale which uses many 5- and 7-limit intervals, intended as an alternative scale for Armodue theory that more closely matches 16edo and Armodue's theoretical basis as a 2.5.7 system.


			{{Navbox scale gallery}}
	[[Category:Lists of scales]][[Category:Armodue]]		[[Category:Lists of scales]][[Category:Armodue]]

BudjarnLambeth: Categorised uncategorised page

2025-04-13T03:53:30Z

Categorised uncategorised page

← Older revision		Revision as of 03:53, 13 April 2025
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	2/1		2/1
	A scale which uses many 5- and 7-limit intervals, intended as an alternative scale for Armodue theory that more closely matches 16edo and Armodue's theoretical basis as a 2.5.7 system.		A scale which uses many 5- and 7-limit intervals, intended as an alternative scale for Armodue theory that more closely matches 16edo and Armodue's theoretical basis as a 2.5.7 system.

			[[Category:Lists of scales]][[Category:Armodue]]

VectorGraphics at 01:37, 11 April 2025

2025-04-11T01:37:49Z

← Older revision		Revision as of 01:37, 11 April 2025
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	\|1088		\|1088
	\|}		\|}

			== Vector Graphics' just Armodue scale ==
			! untitled scale.scl
			! Created using Scale Workshop 3.1.0
			!
			! https://scaleworkshop.plainsound.org/scale/VBpdSlwF9
			!
			Untitled tuning
			16
			!
			21/20
			35/32
			8/7
			6/5
			5/4
			64/49
			4/3
			7/5
			3/2
			49/32
			8/5
			5/3
			7/4
			64/35
			40/21
			2/1
			A scale which uses many 5- and 7-limit intervals, intended as an alternative scale for Armodue theory that more closely matches 16edo and Armodue's theoretical basis as a 2.5.7 system.

VectorGraphics: VectorGraphics moved page 16-note 5-limit scales to Miscellaneous 16-form scales

2025-04-11T01:34:06Z

VectorGraphics moved page 16-note 5-limit scales to Miscellaneous 16-form scales

← Older revision	Revision as of 01:34, 11 April 2025
(No difference)

VectorGraphics: Created page with "== Lou Harrison 16-note scale == This 16-note scale by Lou Harrison is based on simple ratios and pure intervals. In this scale there are practically the same twelve intervals of the "natural" or "Zarlinian" scale (the semitone 16/15, the minor wholetone 10/9, the minor third 6/5, the major third 5/4, the pure forth and fifth 4/3 and 3/2, the minor sixth 8/5, the major sixth 5/3, the minor seventh that is the complement of the minor wholetone 9/5, the major seventh 1..."

2025-04-11T01:32:15Z

Created page with "== Lou Harrison 16-note scale == This 16-note scale byLou Harrison is based on simple ratios and pure intervals. In this scale there are practically the same twelve intervals of the "natural" or "Zarlinian" scale (the semitone 16/15, the minor wholetone 10/9, the minor third 6/5, the major third 5/4, the pure forth and fifth 4/3 and 3/2, the minor sixth 8/5, the major sixth 5/3, the minor seventh that is the complement of the minor wholetone 9/5, the major seventh 1..."

New page

== Lou Harrison 16-note scale ==
This 16-note scale by[[ Lou Harrison]] is based on simple ratios and pure intervals. In this scale there are practically the same twelve intervals of the "natural" or "Zarlinian" scale (the semitone 16/15, the minor wholetone 10/9, the minor third 6/5, the major third 5/4, the pure forth and fifth 4/3 and 3/2, the minor sixth 8/5, the major sixth 5/3, the minor seventh that is the complement of the minor wholetone 9/5, the major seventh 15/8) in addition to the tritone and four other intervals that are based on the harmonic seventh (the ratios 8/7, 7/6, 12/7, 7/4).

This may be considered a justly-tuned [[Armodue theory|Armodue]] scale, though other options are available.

The composer Andrián Pertout used a very similar scale in his composition "Sonus dulcis" ([http://web.archive.org/web/20040511172650/http://www.users.bigpond.com/apertout/Sonus.htm article on archive.org]), namely the following (according to [http://www.armodue.com/risorse.htm Armodue]):
{| class="wikitable"
!Armodue note
!Interval
!Ratio
!Cents
|-
|1
|unison
|1/1
|0
|-
|1#
|major half-tone
|16/15
|112
|-
|2
|minor tone
|10/9
|182
|-
|2#
|major tone
|9/8
|204
|-
|3
|minor third
|6/5
|316
|-
|3#
|major third
|5/4
|386
|-
|4
|fourth
|4/3
|498
|-
|5
|harmonic tritone
|45/32
|590
|-
|5#
|cyclic tritone
|64/45
|610
|-
|6
|fifth
|3/2
|702
|-
|6#
|diminished sixth
|8/5
|814
|-
|7
|harmonic sixth
|5/3
|884
|-
|7#
|harmonic minor seventh
|7/4
|969
|-
|8
|minor seventh
|16/9
|996
|-
|8#
|minor seventh
|9/5
|1018
|-
|9
|major seventh
|15/8
|1088
|}