22edo/Eliora's approach - Revision history

Lériendil: deploying new cat

2025-01-31T22:10:52Z

deploying new cat

← Older revision		Revision as of 22:10, 31 January 2025
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	[[Category:22edo]]		[[Category:22edo]]
			[[Category:Method]]
			[[Category:Approaches to tuning systems]]

ArrowHead294 at 17:23, 23 December 2024

2024-12-23T17:23:12Z

← Older revision		Revision as of 17:23, 23 December 2024
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	== Base chord into which everything resolves ==		== Base chord into which everything resolves ==
	The conventional approach would be to take the "just" triad 4:5:6 and its inversion, which would result in ~~0-7-13~~ and ~~0-6-13~~ chords, respectively. However, The Lovers are sharp of just 6/5, making them neutralized or superminor. This is in contrast to the 12edo, where minor third is flat of 6/5, which creates a lower brightness and aligns with the feeling of minor.		The conventional approach would be to take the "just" triad 4:5:6 and its inversion, which would result in 0–7–13 and 0–6–13 chords, respectively. However, The Lovers are sharp of just 6/5, making them neutralized or superminor. This is in contrast to the 12edo, where minor third is flat of 6/5, which creates a lower brightness and aligns with the feeling of minor.

	As such, 4:5:6 triad is not consonant in this approach. Below some of the variant triads are shown.		As such, 4:5:6 triad is not consonant in this approach. Below some of the variant triads are shown.

	=== 5:6:7 triad ===		=== 5:6:7 triad ===
	A triad which makes more sense to take as the main one would be 5:6:7, represented as ~~0-6-11~~, thus meaning it's subtended by a 600 cent tritone representing 7/5. The "major" version of this would be quite stretched, so it would align with feeling "major" by tonal brightness.		A triad which makes more sense to take as the main one would be 5:6:7, represented as 0–6–11, thus meaning it's subtended by a 600 cent tritone representing 7/5. The "major" version of this would be quite stretched, so it would align with feeling "major" by tonal brightness.

	This triad can be used in any period-2 temperament that 22edo provides. In addition, it doubles the property of the tritone being consonant in this instance.		This triad can be used in any period-2 temperament that 22edo provides. In addition, it doubles the property of the tritone being consonant in this instance.

	=== 14:18:21 triad ===		=== 14:18:21 triad ===
	The 1/~~1-9~~/~~7-3~~/2 triad uses the 9/7 interval as the major third, and arises from the 4414441 superpyth scale. This is the more diatonic-normative approach.		The 1/1–9/7–3/2 triad uses the 9/7 interval as the major third, and arises from the 4414441 superpyth scale. This is the more diatonic-normative approach.

	In this case, since minor version is otonal (6:7:9), it is consonant, as opposed to the inversion of 4:5:6.		In this case, since minor version is otonal (6:7:9), it is consonant, as opposed to the inversion of 4:5:6.

	=== Orwell tetrad ===		=== Orwell tetrad ===
	~~0-5-10-15~~ is the equidistant chord that is associated with the orwell temperament, which 22edo supports. As such, it can be used as well.		0–5–10–15 is the equidistant chord that is associated with the orwell temperament, which 22edo supports. As such, it can be used as well.

	== Rank-2 temperaments ==		== Rank-2 temperaments ==
	=== Orson ===		=== Orson ===
	In this approach, Orson will refer to not just 5-limit orwell, but also the way of playing orwell that favors the ~~0-6-13~~ and ~~0-7-13~~ triads as the main resolution destinations, as opposed to the ~~0-5-10-15~~ triad.		In this approach, Orson will refer to not just 5-limit orwell, but also the way of playing orwell that favors the 0–6–13 and 0–7–13 triads as the main resolution destinations, as opposed to the 0–5–10–15 triad.

	=== Hedgehog ===		=== Hedgehog ===

ArrowHead294 at 17:57, 7 October 2024

2024-10-07T17:57:51Z

← Older revision		Revision as of 17:57, 7 October 2024
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	~~'''Main article: [[22edo]]'''~~		{{breadcrumb}}

	== Theory ==		== Theory ==
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	{\| class="wikitable center-all right-2 left-3"		{\| class="wikitable center-all right-2 left-3"
	\|-		\|-
	!Degree		! Degree
	!Cents		! Cents
	!Major Arcana Notation		! Major Arcana Notation
	\|-		\|-
	\|0		\| 0
	\|0.000		\| 0.000
	\|The Fool		\| The Fool
	\|-		\|-
	\|1		\| 1
	\|54.545		\| 54.545
	\|The Magician		\| The Magician
	\|-		\|-
	\|2		\| 2
	\|109.091		\| 109.091
	\|The High Priestess		\| The High Priestess
	\|-		\|-
	\|3		\| 3
	\|163.636		\| 163.636
	\|The Empress		\| The Empress
	\|-		\|-
	\|4		\| 4
	\|218.182		\| 218.182
	\|The Emperor		\| The Emperor
	\|-		\|-
	\|5		\| 5
	\|272.737		\| 272.737
	\|The Hierophant		\| The Hierophant
	\|-		\|-
	\|6		\| 6
	\|327.273		\| 327.273
	\|The Lovers		\| The Lovers
	\|-		\|-
	\|7		\| 7
	\|381.818		\| 381.818
	\|The Chariot		\| The Chariot
	\|-		\|-
	\|8		\| 8
	\|436.364		\| 436.364
	\|Justice		\| Justice
	\|-		\|-
	\|9		\| 9
	\|490.909		\| 490.909
	\|The Hermit		\| The Hermit
	\|-		\|-
	\|10		\| 10
	\|545.455		\| 545.455
	\|Wheel of Fortune		\| Wheel of Fortune
	\|-		\|-
	\|11		\| 11
	\|600.000		\| 600.000
	\|Strength		\| Strength
	\|-		\|-
	\|12		\| 12
	\|654.545		\| 654.545
	\|The Hanged Man		\| The Hanged Man
	\|-		\|-
	\|13		\| 13
	\|709.091		\| 709.091
	\|Death		\| Death
	\|-		\|-
	\|14		\| 14
	\|763.636		\| 763.636
	\|Temperance		\| Temperance
	\|-		\|-
	\|15		\| 15
	\|818.182		\| 818.182
	\|The Devil		\| The Devil
	\|-		\|-
	\|16		\| 16
	\|872.727		\| 872.727
	\|The Tower		\| The Tower
	\|-		\|-
	\|17		\| 17
	\|927.273		\| 927.273
	\|The Star		\| The Star
	\|-		\|-
	\|18		\| 18
	\|981.818		\| 981.818
	\|The Moon		\| The Moon
	\|-		\|-
	\|19		\| 19
	\|1036.364		\| 1036.364
	\|The Sun		\| The Sun
	\|-		\|-
	\|20		\| 20
	\|1090.909		\| 1090.909
	\|Judgement		\| Judgement
	\|-		\|-
	\|21		\| 21
	\|1145.455		\| 1145.455
	\|The World		\| The World
	\|-		\|-
	\|22		\| 22
	\|1200.000		\| 1200.000
	\|The Fool (2/1)		\| The Fool (2/1)
	\|}		\|}

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	== Rank-2 temperaments ==		== Rank-2 temperaments ==

	=== Orson ===		=== Orson ===
	In this approach, Orson will refer to not just 5-limit orwell, but also the way of playing orwell that favors the 0-6-13 and 0-7-13 triads as the main resolution destinations, as opposed to the 0-5-10-15 triad.		In this approach, Orson will refer to not just 5-limit orwell, but also the way of playing orwell that favors the 0-6-13 and 0-7-13 triads as the main resolution destinations, as opposed to the 0-5-10-15 triad.
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	=== Hedgehog ===		=== Hedgehog ===
	Hedgehog is to be used with the 5:6:7 triad, which it contains on the brightest mode in the Hedgehog[8] scale.		Hedgehog is to be used with the 5:6:7 triad, which it contains on the brightest mode in the Hedgehog[8] scale.

	[[Category:22edo]]		[[Category:22edo]]

BudjarnLambeth: Added category "22edo"

2023-04-14T03:19:08Z

Added category "22edo"

← Older revision		Revision as of 03:19, 14 April 2023
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	=== Hedgehog ===		=== Hedgehog ===
	Hedgehog is to be used with the 5:6:7 triad, which it contains on the brightest mode in the Hedgehog[8] scale.		Hedgehog is to be used with the 5:6:7 triad, which it contains on the brightest mode in the Hedgehog[8] scale.
			[[Category:22edo]]

Eliora at 19:38, 25 November 2022

2022-11-25T19:38:13Z

Show changes

Eliora: Created page with "'''Main article: 22edo''' == Theory and notation == This notation assumes naming the 22 notes after the Major Arcana in Tarot, with the base note being 0 or 22 = The Fool..."

2022-05-26T17:23:19Z

Created page with "'''Main article: 22edo''' == Theory and notation == This notation assumes naming the 22 notes after the Major Arcana in Tarot, with the base note being 0 or 22 = The Fool..."

New page

'''Main article: [[22edo]]'''

== Theory and notation ==
This notation assumes naming the 22 notes after the Major Arcana in Tarot, with the base note being 0 or 22 = The Fool. There are no sharps or flats, as the notation is bijective.
{| class="wikitable center-all right-2 left-3"
|-
!Degree
!Cents
!Major Arcana Notation
!Solfege
|-
|0
|0.000
|The Fool
|Fool
|-
|1
|54.545
|The Magician
|Mag
|-
|2
|109.091
|The High Priestess
|Hap
|-
|3
|163.636
|The Empress
|Res
|-
|4
|218.182
|The Emperor
|Rawr
|-
|5
|272.737
|The Hierophant
|Hee
|-
|6
|327.273
|The Lovers
|Love
|-
|7
|381.818
|The Chariot
|
|-
|8
|436.364
|Justice
|Joj
|-
|9
|490.909
|The Hermit
|
|-
|10
|545.455
|Wheel of Fortune
|
|-
|11
|600.000
|Strength
|
|-
|12
|654.545
|The Hanged Man
|
|-
|13
|709.091
|Death
|
|-
|14
|763.636
|Temperance
|
|-
|15
|818.182
|The Devil
|
|-
|16
|872.727
|The Tower
|
|-
|17
|927.273
|The Star
|
|-
|18
|981.818
|The Moon
|
|-
|19
|1036.364
|The Sun
|
|-
|20
|1090.909
|Judgement
|
|-
|21
|1145.455
|The World
|
|-
|22
|1200.000
|The Fool (2/1)
|
|}