44edf - Revision history

FloraC: /* Theory */ cleanup

2025-01-17T17:21:21Z

Theory: cleanup

← Older revision		Revision as of 17:21, 17 January 2025
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	== Theory ==		== Theory ==
	44edf corresponds to 75.2185[[edo]]. It is related to the [[regular temperament]] which [[tempers out]] {{monzo\| 183 -51 -44 }} in the [[5-limit]], which is supported by {{EDOs\|301-, 376-, 677-, 1053-, 1429-, 1730-, 2407-, and 2783edo }}.		44edf corresponds to 75.2185[[edo]]. It is related to the [[regular temperament]] which [[tempering out\|tempers out]] {{monzo\| 183 -51 -44 }} in the [[5-limit]], which is supported by {{EDOs\| 301-, 376-, 677-, 1053-, 1429-, 1730-, 2407-, and 2783edo }}.

	=== Harmonics ===		=== Harmonics ===

FloraC: Cleanup

2025-01-17T17:17:12Z

Cleanup

← Older revision		Revision as of 17:17, 17 January 2025
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	{{~~todo~~\|add examples\|text=add examples of how music can be made with this tuning, stuff like instruments tuned to it, 4 to 12 note scales within it, etc.}}{{Infobox ET}}		{{Todo\|cleanup\|add examples\|text=add examples of how music can be made with this tuning, stuff like instruments tuned to it, 4 to 12 note scales within it, etc.}}
	~~'''44EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 44 parts of 15.9535 [[cents]] each, corresponding to 75.2185 [[edo]].~~		{{Infobox ET}}
			{{ED intro}}

	It is related to the [[regular temperament]] which [[tempers out]] \|183 -51 -44~~>~~ in the [[5-limit]], which is supported by {{EDOs\|301, 376, 677, 1053, 1429, 1730, 2407, and ~~2783~~}} ~~EDOs~~.		== Theory ==
			44edf corresponds to 75.2185[[edo]]. It is related to the [[regular temperament]] which [[tempers out]] {{monzo\| 183 -51 -44 }} in the [[5-limit]], which is supported by {{EDOs\|301-, 376-, 677-, 1053-, 1429-, 1730-, 2407-, and 2783edo }}.

	==Related regular temperaments==		=== Harmonics ===
			{{Harmonics in equal\|44\|3\|2\|intervals=prime}}

			== Related regular temperaments ==
	===5-limit 677&1053===		===5-limit 677&1053===
	Comma: \|183 -51 -44>		Comma: \|183 -51 -44>
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	EDOs: {{EDOs\|677, 1053, 1730, 2407, 3084, 4137}}		EDOs: {{EDOs\|677, 1053, 1730, 2407, 3084, 4137}}

	~~==Harmonics==~~
	~~{{Harmonics in equal\|44\|3\|2\|intervals=prime}}~~

	==Intervals==		==Intervals==
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	\|		\|
	\|}		\|}

	~~[[Category:Edf]]~~
	~~[[Category:Edonoi]]~~

BudjarnLambeth: Harmonics but mostly todo

2024-12-18T04:50:11Z

Harmonics but mostly todo

@@ Line 1: / Line 1: @@
-{{Infobox ET}}
+{{todo|add examples|text=add examples of how music can be made with this tuning, stuff like instruments tuned to it, 4 to 12 note scales within it, etc.}}{{Infobox ET}}
-'''44EDF''' is the [[EDF|equal division of the just perfect fifth]] into 44 parts of 15.9535 [[cent|cents]] each, corresponding to 75.2185 [[edo]]. It is related to the regular temperament which tempers out |183 -51 -44&gt; in the 5-limit, which is supported by {{EDOs|301, 376, 677, 1053, 1429, 1730, 2407, and 2783}} EDOs.
+'''44EDF''' is the [[EDF|equal division of the just perfect fifth]] into 44 parts of 15.9535 [[cents]] each, corresponding to 75.2185 [[edo]].
 ==Intervals==
@@ Line 454: / Line 487: @@
+|
 |}
 [[Category:Edf]]
 [[Category:Edonoi]]

Francium: Linking EDOs in intro

2023-10-02T08:59:17Z

Linking EDOs in intro

← Older revision		Revision as of 08:59, 2 October 2023
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	{{Infobox ET}}		{{Infobox ET}}
	'''44EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 44 parts of 15.9535 [[cent\|cents]] each, corresponding to 75.2185 [[edo]]. It is related to the regular temperament which tempers out \|183 -51 -44> in the 5-limit, which is supported by 301, 376, 677, 1053, 1429, 1730, 2407, and 2783 EDOs.		'''44EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 44 parts of 15.9535 [[cent\|cents]] each, corresponding to 75.2185 [[edo]]. It is related to the regular temperament which tempers out \|183 -51 -44> in the 5-limit, which is supported by {{EDOs\|301, 376, 677, 1053, 1429, 1730, 2407, and 2783}} EDOs.

	==Intervals==		==Intervals==

Francium: /* Related regular temperaments */

2023-04-19T07:46:19Z

Related regular temperaments

← Older revision		Revision as of 07:46, 19 April 2023
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	Mapping: [<1 1 3\|, <0 44 -51\|]		Mapping: [<1 1 3\|, <0 44 -51\|]

	EDOs: 75, 301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3836		EDOs: {{EDOs\|75, 301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3836}}

	===2.3.5.11 677&1053===		===2.3.5.11 677&1053===
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	Mapping: [<1 1 3 1\|, <0 44 -51 185\|]		Mapping: [<1 1 3 1\|, <0 44 -51 185\|]

	EDOs: 301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3084		EDOs: {{EDOs\|301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3084}}

	===13-limit 677&1053===		===13-limit 677&1053===
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	Mapping: [<1 1 3 1 -3\|, <0 44 -51 185 504\|]		Mapping: [<1 1 3 1 -3\|, <0 44 -51 185 504\|]

	EDOs: 677, 1053, 1730, 2407, 3084, 4137		EDOs: {{EDOs\|677, 1053, 1730, 2407, 3084, 4137}}

	[[Category:Edf]]		[[Category:Edf]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

Plumtree: Infobox ET added

2022-10-05T18:46:14Z

Infobox ET added

← Older revision		Revision as of 18:46, 5 October 2022
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			{{Infobox ET}}
	'''44EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 44 parts of 15.9535 [[cent\|cents]] each, corresponding to 75.2185 [[edo]]. It is related to the regular temperament which tempers out \|183 -51 -44> in the 5-limit, which is supported by 301, 376, 677, 1053, 1429, 1730, 2407, and 2783 EDOs.		'''44EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 44 parts of 15.9535 [[cent\|cents]] each, corresponding to 75.2185 [[edo]]. It is related to the regular temperament which tempers out \|183 -51 -44> in the 5-limit, which is supported by 301, 376, 677, 1053, 1429, 1730, 2407, and 2783 EDOs.

Cmloegcmluin: /* Related regular temperaments */ map → mapping

2021-11-05T20:01:06Z

Related regular temperaments: map → mapping

← Older revision		Revision as of 20:01, 5 November 2021
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	POTE generator: ~\|-104 29 25> = 15.9540		POTE generator: ~\|-104 29 25> = 15.9540

	~~Map~~: [<1 1 3\|, <0 44 -51\|]		Mapping: [<1 1 3\|, <0 44 -51\|]

	EDOs: 75, 301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3836		EDOs: 75, 301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3836
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	POTE generator: ~\|-104 29 25> = 15.9535		POTE generator: ~\|-104 29 25> = 15.9535

	~~Map~~: [<1 1 3 1\|, <0 44 -51 185\|]		Mapping: [<1 1 3 1\|, <0 44 -51 185\|]

	EDOs: 301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3084		EDOs: 301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3084
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	POTE generator: ~\|-104 29 25> = 15.9540		POTE generator: ~\|-104 29 25> = 15.9540

	~~Map~~: [<1 1 3 1 -3\|, <0 44 -51 185 504\|]		Mapping: [<1 1 3 1 -3\|, <0 44 -51 185 504\|]

	EDOs: 677, 1053, 1730, 2407, 3084, 4137		EDOs: 677, 1053, 1730, 2407, 3084, 4137

Moremajorthanmajor at 22:43, 19 August 2019

2019-08-19T22:43:45Z

← Older revision		Revision as of 22:43, 19 August 2019
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	! \| comments		! \| comments
	\|-		\|-
	\| \| 0		\| colspan="2"\| 0
	~~\| \| 0.~~0000
	\| \| '''exact [[1/1]]'''		\| \| '''exact [[1/1]]'''
	\| \|		\| \|

Moremajorthanmajor at 19:34, 10 March 2019

2019-03-10T19:34:30Z

Show changes

Xenllium: Created page with "'''44EDF''' is the equal division of the just perfect fifth into 44 parts of 15.9535 cents each, corresponding to 75.2185 edo. It is related to the regula..."

2019-02-11T09:02:21Z

Created page with "'''44EDF''' is the equal division of the just perfect fifth into 44 parts of 15.9535 cents each, corresponding to 75.2185 edo. It is related to the regula..."

New page

'''44EDF''' is the [[EDF|equal division of the just perfect fifth]] into 44 parts of 15.9535 [[cent|cents]] each, corresponding to 75.2185 [[edo]]. It is related to the regular temperament which tempers out |183 -51 -44> in the 5-limit, which is supported by 301, 376, 677, 1053, 1429, 1730, 2407, and 2783 EDOs.

==Intervals==
{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 15.9535
| |
| |
|-
| | 2
| | 31.9070
| |
| |
|-
| | 3
| | 47.8606
| |
| |
|-
| | 4
| | 63.8141
| |
| |
|-
| | 5
| | 79.7676
| | [[22/21]]
| |
|-
| | 6
| | 95.7211
| | 37/35
| |
|-
| | 7
| | 111.6747
| | [[16/15]]
| |
|-
| | 8
| | 127.6282
| | [[14/13]]
| |
|-
| | 9
| | 143.5817
| | 25/23
| |
|-
| | 10
| | 159.5352
| | 34/31
| |
|-
| | 11
| | 175.4888
| | 31/28
| |
|-
| | 12
| | 191.4423
| | [[19/17]]
| |
|-
| | 13
| | 207.3958
| | 62/55
| |
|-
| | 14
| | 223.3493
| | 33/29
| |
|-
| | 15
| | 239.3028
| | 31/27
| |
|-
| | 16
| | 255.2564
| | 51/44
| |
|-
| | 17
| | 271.2099
| | 62/53
| |
|-
| | 18
| | 287.1634
| |
| |
|-
| | 19
| | 303.1169
| | 81/68
| |
|-
| | 20
| | 319.0705
| | 101/84
| |
|-
| | 21
| | 335.0240
| |
| |
|-
| | 22
| | 350.9775
| | 60/49, 49/40
| |
|-
| | 23
| | 366.9310
| |
| |
|-
| | 24
| | 382.8845
| | 126/101
| |
|-
| | 25
| | 398.8381
| | 34/27
| |
|-
| | 26
| | 414.7916
| |
| |
|-
| | 27
| | 430.7451
| |
| |
|-
| | 28
| | 446.6986
| | [[22/17]]
| |
|-
| | 29
| | 462.6522
| |
| |
|-
| | 30
| | 478.6057
| |
| |
|-
| | 31
| | 494.5592
| |
| |
|-
| | 32
| | 510.5127
| |
| |
|-
| | 33
| | 526.4663
| | 42/31
| |
|-
| | 34
| | 542.4198
| |
| |
|-
| | 35
| | 558.3733
| |
| |
|-
| | 36
| | 574.3268
| |
| |
|-
| | 37
| | 590.2803
| | [[45/32]]
| |
|-
| | 38
| | 606.2339
| |
| |
|-
| | 39
| | 622.1874
| |
| |
|-
| | 40
| | 638.1409
| |
| |
|-
| | 41
| | 654.0944
| |
| |
|-
| | 42
| | 670.0480
| |
| |
|-
| | 43
| | 686.0015
| |
| |
|-
| | 44
| | 701.9550
| | '''exact [[3/2]]'''
| | just perfect fifth
|}

==Related regular temperaments==
===5-limit 677&1053===
Comma: |183 -51 -44>

POTE generator: ~|-104 29 25> = 15.9540

Map: [<1 1 3|, <0 44 -51|]

EDOs: 75, 301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3836

===2.3.5.11 677&1053===
Commas: 184549376/184528125, 38084983750656/38060880859375

POTE generator: ~|-104 29 25> = 15.9535

Map: [<1 1 3 1|, <0 44 -51 185|]

EDOs: 301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3084

===13-limit 677&1053===
Commas: 6656/6655, 184549376/184528125, 1162261467/1161875000

POTE generator: ~|-104 29 25> = 15.9540

Map: [<1 1 3 1 -3|, <0 44 -51 185 504|]

EDOs: 677, 1053, 1730, 2407, 3084, 4137

[[Category:Edf]]
[[Category:Edonoi]]