1400edo - Revision history

FloraC: /* Regular temperament properties */ - deleted name

2026-06-20T12:31:53Z

Regular temperament properties: - deleted name

← Older revision		Revision as of 12:31, 20 June 2026
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	! Associated<br>ratio*		! Associated<br>ratio*
	! Temperaments		! Temperaments
	\|-
	~~\| 1~~
	~~\| 317\1400~~
	~~\| 271.714~~
	~~\| {{Monzo\| 66 -23 -9 -3 }}~~
	~~\| [[Counterorson]]~~
	\|-		\|-
	\| 2		\| 2

FloraC: Misc. cleanup

2026-06-18T06:41:35Z

Misc. cleanup

← Older revision		Revision as of 06:41, 18 June 2026
Line 3:		Line 3:

	== Theory ==		== Theory ==
	1400edo is [[consistent]] in the [[5-odd-limit]], where provides the optimal patent val for the 5-limit [[~~vishnuzma\|vishnuzmic~~]] temperament. Aside from that it is poor at simple harmony. In higher limits, it is good at the 2.3.19.23.29.31 subgroup. It also tempers out the [[~~linus~~ comma]] and the [[~~barium~~ comma]].		1400edo is only [[consistent]] in the [[5-odd-limit]], where it provides the [[optimal patent val]] for the 5-limit [[vishnu]] temperament. Aside from that it is poor at simple harmony. In the higher limits, it is good at the 2.3.19.23.29.31 subgroup. It also tempers out the [[barium comma]] and the [[linus comma]] using the patent val.

	Aside from the patent val, there is a number of mappings to be considered. 1400cd val uses the 28edo mapping for 5 and gives a tuning close to the [[POTE]] tuning for the 11-limit [[oquatonic]] temperament. 1400ccdd val is a tuning for the 11-limit [[silicon]] temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching [[3/2]] in 1 generator up and [[11/8]] in 3 generators down. 1400bbbc val is a tuning for the [[manganese]] temperament.		Aside from the patent val, there is a number of mappings to be considered. 1400cd val uses the 28edo mapping for 5 and gives a tuning close to the [[POTE]] tuning for the 11-limit [[oquatonic]] temperament. 1400ccdd val is a tuning for the 11-limit [[silicon]] temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching [[3/2]] in 1 generator up and [[11/8]] in 3 generators down. 1400bbbc val is a tuning for the [[manganese]] temperament.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{~~harmonics~~ in equal\|1400}}		{{Harmonics in equal\|1400}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	1400edo has subset edos {{EDOs\| 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 }}.		1400edo has subset edos {{EDOs\| 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 }}. One step of 1400edo is the relative cent for 14edo.

	One step of 1400edo is the relative cent for 14edo.

	== Regular temperament properties ==		== Regular temperament properties ==
Line 19:		Line 17:
	\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator		\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
	\|-		\|-
	! Periods<br />per 8ve		! Periods<br>per 8ve
	! Generator*		! Generator*
	! Cents*		! Cents*
	! Associated<br />ratio*		! Associated<br>ratio*
	! Temperaments		! Temperaments
	\|-		\|-
Line 28:		Line 26:
	\| 317\1400		\| 317\1400
	\| 271.714		\| 271.714
	\| {{~~monzo~~\| 66 -23 -9 -3 }}		\| {{Monzo\| 66 -23 -9 -3 }}
	\| [[Counterorson]]		\| [[Counterorson]]
	\|-		\|-
Line 44:		Line 42:
	\|-		\|-
	\| 14		\| 14
	\| 581\1400<br />(81\1400)		\| 581\1400<br>(81\1400)
	\| 498.000<br />(69.429)		\| 498.000<br>(69.429)
	\| 4/3<br />(?)		\| 4/3<br>(?)
	\| [[Silicon]] (2.3.11)		\| [[Silicon]] (2.3.11)
	\|-		\|-
	\| 28		\| 28
	\| 581\1400<br />(31\1400)		\| 581\1400<br>(31\1400)
	\| 498.000<br />(26.571)		\| 498.000<br>(26.571)
	\| 4/3<br />(126/125)		\| 4/3<br>(126/125)
	\| [[Oquatonic]] (1400cd)		\| [[Oquatonic]] (1400cd)
	\|-		\|-
	\| 56		\| 56
	\| 581\1400<br />(6\1400)		\| 581\1400<br>(6\1400)
	\| 498.000<br />(5.143)		\| 498.000<br>(5.143)
	\| 4/3<br />(126/125)		\| 4/3<br>(126/125)
	\| [[Barium]]		\| [[Barium]]
	\|}		\|}
	<nowiki />* [[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form\|minimal form]] in parentheses if distinct		<nowiki/>* [[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form\|minimal form]] in parentheses if distinct

	== Scales ==		== Scales ==
	* Silicon[70]: (19 24 19 19 19)~~x14~~		* Silicon[70]: (19 24 19 19 19)×14

	== Music ==		== Music ==
	; ~~'''~~[[Mercury Amalgam]]~~'''~~		; [[Mercury Amalgam]]
	* ''[https://www.youtube.com/watch?v=o9aAB4csKBQ~~&pp=ygUHMTQwMGVkbw%3D%3D~~ Apple In Your Mouth]'' – ~~silicon~~[70], ~~oxygen~~[24], ~~magnesium~~[175], ~~vishnu~~[34]		* [https://www.youtube.com/watch?v=o9aAB4csKBQ ''Apple In Your Mouth''] – Silicon[70], Oxygen[24], Magnesium[175], Vishnu[34]

	[[Category:~~Vishnuzmic~~]]		[[Category:Vishnu]]
	[[Category:Listen]]		[[Category:Listen]]

FloraC: Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

2026-03-13T13:31:55Z

Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

← Older revision		Revision as of 13:31, 13 March 2026
Line 61:		Line 61:
	\| [[Barium]]		\| [[Barium]]
	\|}		\|}
	<nowiki />* [[Normal ~~lists~~\|Octave-reduced form]], reduced to the first half-octave, and [[~~Normal lists~~\|minimal form]] in parentheses if distinct		<nowiki />* [[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form\|minimal form]] in parentheses if distinct

	== Scales ==		== Scales ==

Overthink: /* Theory */ note odd limit

2025-12-22T21:41:00Z

Theory: note odd limit

← Older revision		Revision as of 21:41, 22 December 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	1400edo is consistent in the 5-limit, where provides the optimal patent val for the 5-limit [[vishnuzma\|vishnuzmic]] temperament. Aside from that it is poor at simple harmony. In higher limits, it is good at the 2.3.19.23.29.31 subgroup. It also tempers out the [[linus comma]] and the [[barium comma]].		1400edo is [[consistent]] in the [[5-odd-limit]], where provides the optimal patent val for the 5-limit [[vishnuzma\|vishnuzmic]] temperament. Aside from that it is poor at simple harmony. In higher limits, it is good at the 2.3.19.23.29.31 subgroup. It also tempers out the [[linus comma]] and the [[barium comma]].

	Aside from the patent val, there is a number of mappings to be considered. 1400cd val uses the 28edo mapping for 5 and gives a tuning close to the [[POTE]] tuning for the 11-limit [[oquatonic]] temperament. 1400ccdd val is a tuning for the 11-limit [[silicon]] temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching [[3/2]] in 1 generator up and [[11/8]] in 3 generators down. 1400bbbc val is a tuning for the [[manganese]] temperament.		Aside from the patent val, there is a number of mappings to be considered. 1400cd val uses the 28edo mapping for 5 and gives a tuning close to the [[POTE]] tuning for the 11-limit [[oquatonic]] temperament. 1400ccdd val is a tuning for the 11-limit [[silicon]] temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching [[3/2]] in 1 generator up and [[11/8]] in 3 generators down. 1400bbbc val is a tuning for the [[manganese]] temperament.

Francium: changed EDO intro to ED intro

2025-02-21T06:29:34Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:29, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	== Theory ==		== Theory ==
	1400edo is consistent in the 5-limit, where provides the optimal patent val for the 5-limit [[vishnuzma\|vishnuzmic]] temperament. Aside from that it is poor at simple harmony. In higher limits, it is good at the 2.3.19.23.29.31 subgroup. It also tempers out the [[linus comma]] and the [[barium comma]].		1400edo is consistent in the 5-limit, where provides the optimal patent val for the 5-limit [[vishnuzma\|vishnuzmic]] temperament. Aside from that it is poor at simple harmony. In higher limits, it is good at the 2.3.19.23.29.31 subgroup. It also tempers out the [[linus comma]] and the [[barium comma]].

ArrowHead294 at 16:55, 15 January 2025

2025-01-15T16:55:19Z

← Older revision		Revision as of 16:55, 15 January 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro~~\|1400~~}}		{{EDO intro}}
	== Theory ==		== Theory ==
	1400edo is consistent in the 5-limit, where provides the optimal patent val for the 5-limit [[vishnuzma\|vishnuzmic]] temperament. Aside from that it is poor at simple harmony. In higher limits, it is good at the 2.3.19.23.29.31 subgroup. . It also tempers out the [[linus comma]] and the [[barium comma]].		1400edo is consistent in the 5-limit, where provides the optimal patent val for the 5-limit [[vishnuzma\|vishnuzmic]] temperament. Aside from that it is poor at simple harmony. In higher limits, it is good at the 2.3.19.23.29.31 subgroup. It also tempers out the [[linus comma]] and the [[barium comma]].

	Aside from the patent val, there is a number of mappings to be considered. 1400cd val uses the 28edo mapping for 5 and gives a tuning close to the [[POTE]] tuning for the 11-limit [[oquatonic]] temperament. 1400ccdd val is a tuning for the 11-limit [[silicon]] temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching [[3/2]] in 1 generator up and [[11/8]] in 3 generators down. 1400bbbc val is a tuning for the [[manganese]] temperament.		Aside from the patent val, there is a number of mappings to be considered. 1400cd val uses the 28edo mapping for 5 and gives a tuning close to the [[POTE]] tuning for the 11-limit [[oquatonic]] temperament. 1400ccdd val is a tuning for the 11-limit [[silicon]] temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching [[3/2]] in 1 generator up and [[11/8]] in 3 generators down. 1400bbbc val is a tuning for the [[manganese]] temperament.
Line 10:		Line 10:

	=== Subsets and supersets ===		=== Subsets and supersets ===
	1400edo has subset edos {{EDOs\|1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700}}.		1400edo has subset edos {{EDOs\| 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 }}.

	One step of 1400edo is the relative cent for 14edo.		One step of 1400edo is the relative cent for 14edo.
Line 27:		Line 27:
	\| 317\1400		\| 317\1400
	\| 271.714		\| 271.714
	\| [66 -23 -9 -3⟩		\| {{monzo\| 66 -23 -9 -3 }}
	\| [[Counterorson]]		\| [[Counterorson]]
	\|-		\|-
Line 60:		Line 60:
	\| [[Barium]]		\| [[Barium]]
	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if ~~it is~~ distinct		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

	== Scales ==		== Scales ==
Line 67:		Line 67:
	== Music ==		== Music ==
	; '''[[Mercury Amalgam]]'''		; '''[[Mercury Amalgam]]'''
	* ''[https://www.youtube.com/watch?v=o9aAB4csKBQ&pp=ygUHMTQwMGVkbw%3D%3D Apple In Your Mouth]'' ~~–~~ silicon[70], oxygen[24], magnesium[175], vishnu[34]		* ''[https://www.youtube.com/watch?v=o9aAB4csKBQ&pp=ygUHMTQwMGVkbw%3D%3D Apple In Your Mouth]'' – silicon[70], oxygen[24], magnesium[175], vishnu[34]

	[[Category:Vishnuzmic]]		[[Category:Vishnuzmic]]
	[[Category:Listen]]		[[Category:Listen]]

ArrowHead294: Partial undo

2024-11-16T13:17:55Z

Partial undo

← Older revision		Revision as of 13:17, 16 November 2024
Line 15:		Line 15:

	== Regular temperament properties ==		== Regular temperament properties ==
	{{rank-2 ~~begin}}~~		{\| class="wikitable center-all left-5"
			\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
			\|-
			! Periods<br />per 8ve
			! Generator*
			! Cents*
			! Associated<br />ratio*
			! Temperaments
	\|-		\|-
	\| 1		\| 1
Line 52:		Line 59:
	\| 4/3<br />(126/125)		\| 4/3<br />(126/125)
	\| [[Barium]]		\| [[Barium]]
	~~{{rank-2 end}~~}		\|}
	~~{{orf}}~~		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

	== Scales ==		== Scales ==

ArrowHead294 at 01:42, 16 November 2024

2024-11-16T01:42:07Z

← Older revision		Revision as of 01:42, 16 November 2024
Line 15:		Line 15:

	== Regular temperament properties ==		== Regular temperament properties ==
	{~~\| class="wikitable center~~-~~all left-5"~~		{{rank-2 begin}}
	\|-
	~~! Periods<br />per 8ve~~
	~~! Generator<br />(reduced)~~
	~~! Cents<br />(reduced)~~
	~~! Associated<br />ratio~~
	~~! Temperaments~~
	\|-		\|-
	\| 1		\| 1
Line 58:		Line 52:
	\| 4/3<br />(126/125)		\| 4/3<br />(126/125)
	\| [[Barium]]		\| [[Barium]]
	\|}		{{rank-2 end}}
	{{orf}}		{{orf}}

ArrowHead294 at 01:01, 16 November 2024

2024-11-16T01:01:37Z

← Older revision		Revision as of 01:01, 16 November 2024
Line 5:		Line 5:

	Aside from the patent val, there is a number of mappings to be considered. 1400cd val uses the 28edo mapping for 5 and gives a tuning close to the [[POTE]] tuning for the 11-limit [[oquatonic]] temperament. 1400ccdd val is a tuning for the 11-limit [[silicon]] temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching [[3/2]] in 1 generator up and [[11/8]] in 3 generators down. 1400bbbc val is a tuning for the [[manganese]] temperament.		Aside from the patent val, there is a number of mappings to be considered. 1400cd val uses the 28edo mapping for 5 and gives a tuning close to the [[POTE]] tuning for the 11-limit [[oquatonic]] temperament. 1400ccdd val is a tuning for the 11-limit [[silicon]] temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching [[3/2]] in 1 generator up and [[11/8]] in 3 generators down. 1400bbbc val is a tuning for the [[manganese]] temperament.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{harmonics in equal\|1400}}		{{harmonics in equal\|1400}}
Line 15:		Line 16:
	== Regular temperament properties ==		== Regular temperament properties ==
	{\| class="wikitable center-all left-5"		{\| class="wikitable center-all left-5"
	~~!Periods<br>per 8ve~~
	~~!Generator<br>(Reduced)~~
	~~!Cents<br>(Reduced)~~
	~~!Associated<br>Ratio~~
	~~!Temperaments~~
	\|-		\|-
	\|1		! Periods<br />per 8ve
	~~\|317\1400~~		! Generator<br />(reduced)
	~~\|271.714~~		! Cents<br />(reduced)
	~~\|[66 -23 -9 -3⟩~~		! Associated<br />ratio
	~~\|[[Counterorson]]~~		! Temperaments
	\|-		\|-
	\|2		\| 1
	\|83\1400		\| 317\1400
	\|71.~~143~~		\| 271.714
	\|~~25/24~~		\| [66 -23 -9 -3⟩
	\|[[~~Vishnu~~]] ~~(5-limit)~~		\| [[Counterorson]]
	\|-		\|-
	\|8		\| 2
	\|86\1400		\| 83\1400
	\|73.~~714~~		\| 71.143
	\|24~~/23~~		\| 25/24
	\|[[~~Octium~~]] (~~2.3.19.23.29.31~~)		\| [[Vishnu]] (5-limit)
	\|-		\|-
	\|14		\| 8
	\|~~581~~\1400~~<br>(81\1400)~~		\| 86\1400
	\|~~498.000<br>(69~~.~~429)~~		\| 73.714
	\|4/~~3<br>(?)~~		\| 24/23
	\|[[~~Silicon~~]] (2.3.11)		\| [[Octium]] (2.3.19.23.29.31)
	\|-		\|-
	\|28		\| 14
	\|581\1400<br>(31\1400)		\| 581\1400<br />(81\1400)
	\|498.000<br>(26.~~571~~)		\| 498.000<br />(69.429)
	\|4/3<br>(~~126/125~~)		\| 4/3<br />(?)
	\|[[~~Oquatonic~~]] (~~1400cd~~)		\| [[Silicon]] (2.3.11)
	\|-		\|-
	\|56		\| 28
	\|581\1400<br>(6\1400)		\| 581\1400<br />(31\1400)
	\|498.000<br>(5.143)		\| 498.000<br />(26.571)
	\|4/3<br>(126/125)		\| 4/3<br />(126/125)
	\|[[Barium]]		\| [[Oquatonic]] (1400cd)
			\|-
			\| 56
			\| 581\1400<br />(6\1400)
			\| 498.000<br />(5.143)
			\| 4/3<br />(126/125)
			\| [[Barium]]
	\|}		\|}
			{{orf}}
	~~<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct~~

	== Scales ==		== Scales ==

	* Silicon[70]: (19 24 19 19 19)x14		* Silicon[70]: (19 24 19 19 19)x14

	== Music ==		== Music ==
	; '''[[Mercury Amalgam]]'''		; '''[[Mercury Amalgam]]'''
			* ''[https://www.youtube.com/watch?v=o9aAB4csKBQ&pp=ygUHMTQwMGVkbw%3D%3D Apple In Your Mouth]'' – silicon[70], oxygen[24], magnesium[175], vishnu[34]
	* ''[https://www.youtube.com/watch?v=o9aAB4csKBQ&pp=ygUHMTQwMGVkbw%3D%3D Apple In Your Mouth]'' - silicon[70], oxygen[24], magnesium[175], vishnu[34]

	[[Category:Vishnuzmic]]		[[Category:Vishnuzmic]]
	[[Category:Listen]]		[[Category:Listen]]

Eliora: /* Music */

2023-11-21T10:25:36Z

Music

← Older revision		Revision as of 10:25, 21 November 2023
Line 65:		Line 65:

	== Music ==		== Music ==
			; '''[[Mercury Amalgam]]'''

	* [https://www.youtube.com/watch?v=o9aAB4csKBQ&pp=ygUHMTQwMGVkbw%3D%3D Apple In Your Mouth] - silicon[70], oxygen[24], magnesium[175], vishnu[34]		* ''[https://www.youtube.com/watch?v=o9aAB4csKBQ&pp=ygUHMTQwMGVkbw%3D%3D Apple In Your Mouth]'' - silicon[70], oxygen[24], magnesium[175], vishnu[34]

	[[Category:Vishnuzmic]]		[[Category:Vishnuzmic]]
	[[Category:Listen]]		[[Category:Listen]]