19ed4 - Revision history

BudjarnLambeth: {{todo|expand}}

2024-12-22T04:15:30Z

← Older revision		Revision as of 04:15, 22 December 2024
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			{{todo\|expand}}

BudjarnLambeth: Intro intervals harmonics

2024-10-05T02:37:52Z

Intro intervals harmonics

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''19ED4''' is the [[Ed4|equal division of the double octave]] into 19 parts of 126.3158 [[cent|cents]] each (every second step of [[19edo]]).
+{{ED intro}} It represents every second step of [[19edo]].
 == Theory ==
@@ Line 7: / Line 7: @@
 Lookalikes: [[15edt]]
-[[Category:Ed4]]
+== Intervals ==

CompactStar at 22:29, 20 July 2023

2023-07-20T22:29:36Z

← Older revision		Revision as of 22:29, 20 July 2023
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	{{Infobox ET}}		{{Infobox ET}}
	'''19ED4''' is the [[Ed4\|equal division of the double octave]] into 19 parts of 126.3158 [[cent\|cents]] each (every second step of [[19edo]]). It is consistent to the no-twos 17-integer-limit. Using the patent val, it tempers out 375/343 and 6561/6125 in the 7-limit; 81/77, 125/121, and 363/343 in the 11-limit; 65/63, 169/165, 585/539, and 1287/1225 in the 13-limit; 51/49, 121/119, 125/119, 189/187, and 195/187 in the 17-limit (no-twos subgroup). It tempers out 36/35, 64/63, and 375/343 in the 3.4.5.7 subgroup; 45/44, 80/77, 81/77, and 363/343 in the 3.4.5.7.11 subgroup; 52/49, 65/63, 65/64, 143/140, and 169/165 in the 3.4.5.7.11.13 subgroup; 51/49, 52/51, 85/84, and 121/119 in the 3.4.5.7.11.13.17 subgroup.		'''19ED4''' is the [[Ed4\|equal division of the double octave]] into 19 parts of 126.3158 [[cent\|cents]] each (every second step of [[19edo]]).

			== Theory ==
			It is consistent to the no-twos 17-integer-limit. Using the patent val, it tempers out 375/343 and 6561/6125 in the 7-limit; 81/77, 125/121, and 363/343 in the 11-limit; 65/63, 169/165, 585/539, and 1287/1225 in the 13-limit; 51/49, 121/119, 125/119, 189/187, and 195/187 in the 17-limit (no-twos subgroup). It tempers out 36/35, 64/63, and 375/343 in the 3.4.5.7 subgroup; 45/44, 80/77, 81/77, and 363/343 in the 3.4.5.7.11 subgroup; 52/49, 65/63, 65/64, 143/140, and 169/165 in the 3.4.5.7.11.13 subgroup; 51/49, 52/51, 85/84, and 121/119 in the 3.4.5.7.11.13.17 subgroup.

	Lookalikes: [[15edt]]		Lookalikes: [[15edt]]

	[[Category:Ed4]]		[[Category:Ed4]]

Plumtree at 10:51, 2 May 2023

2023-05-02T10:51:32Z

← Older revision		Revision as of 10:51, 2 May 2023
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	{{Infobox ET~~\|19ed4~~}}		{{Infobox ET}}
	'''19ED4''' is the [[Ed4\|equal division of the double octave]] into 19 parts of 126.3158 [[cent\|cents]] each (every second step of [[19edo]]). It is consistent to the no-twos 17-integer-limit. Using the patent val, it tempers out 375/343 and 6561/6125 in the 7-limit; 81/77, 125/121, and 363/343 in the 11-limit; 65/63, 169/165, 585/539, and 1287/1225 in the 13-limit; 51/49, 121/119, 125/119, 189/187, and 195/187 in the 17-limit (no-twos subgroup). It tempers out 36/35, 64/63, and 375/343 in the 3.4.5.7 subgroup; 45/44, 80/77, 81/77, and 363/343 in the 3.4.5.7.11 subgroup; 52/49, 65/63, 65/64, 143/140, and 169/165 in the 3.4.5.7.11.13 subgroup; 51/49, 52/51, 85/84, and 121/119 in the 3.4.5.7.11.13.17 subgroup.		'''19ED4''' is the [[Ed4\|equal division of the double octave]] into 19 parts of 126.3158 [[cent\|cents]] each (every second step of [[19edo]]). It is consistent to the no-twos 17-integer-limit. Using the patent val, it tempers out 375/343 and 6561/6125 in the 7-limit; 81/77, 125/121, and 363/343 in the 11-limit; 65/63, 169/165, 585/539, and 1287/1225 in the 13-limit; 51/49, 121/119, 125/119, 189/187, and 195/187 in the 17-limit (no-twos subgroup). It tempers out 36/35, 64/63, and 375/343 in the 3.4.5.7 subgroup; 45/44, 80/77, 81/77, and 363/343 in the 3.4.5.7.11 subgroup; 52/49, 65/63, 65/64, 143/140, and 169/165 in the 3.4.5.7.11.13 subgroup; 51/49, 52/51, 85/84, and 121/119 in the 3.4.5.7.11.13.17 subgroup.

Moremajorthanmajor at 22:00, 21 March 2023

2023-03-21T22:00:14Z

← Older revision		Revision as of 22:00, 21 March 2023
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	{{Infobox ET}}		{{Infobox ET\|19ed4}}
	'''19ED4''' is the [[Ed4\|equal division of the double octave]] into 19 parts of 126.3158 [[cent\|cents]] each (every second step of [[19edo]]). It is consistent to the no-twos 17-integer-limit. Using the patent val, it tempers out 375/343 and 6561/6125 in the 7-limit; 81/77, 125/121, and 363/343 in the 11-limit; 65/63, 169/165, 585/539, and 1287/1225 in the 13-limit; 51/49, 121/119, 125/119, 189/187, and 195/187 in the 17-limit (no-twos subgroup). It tempers out 36/35, 64/63, and 375/343 in the 3.4.5.7 subgroup; 45/44, 80/77, 81/77, and 363/343 in the 3.4.5.7.11 subgroup; 52/49, 65/63, 65/64, 143/140, and 169/165 in the 3.4.5.7.11.13 subgroup; 51/49, 52/51, 85/84, and 121/119 in the 3.4.5.7.11.13.17 subgroup.		'''19ED4''' is the [[Ed4\|equal division of the double octave]] into 19 parts of 126.3158 [[cent\|cents]] each (every second step of [[19edo]]). It is consistent to the no-twos 17-integer-limit. Using the patent val, it tempers out 375/343 and 6561/6125 in the 7-limit; 81/77, 125/121, and 363/343 in the 11-limit; 65/63, 169/165, 585/539, and 1287/1225 in the 13-limit; 51/49, 121/119, 125/119, 189/187, and 195/187 in the 17-limit (no-twos subgroup). It tempers out 36/35, 64/63, and 375/343 in the 3.4.5.7 subgroup; 45/44, 80/77, 81/77, and 363/343 in the 3.4.5.7.11 subgroup; 52/49, 65/63, 65/64, 143/140, and 169/165 in the 3.4.5.7.11.13 subgroup; 51/49, 52/51, 85/84, and 121/119 in the 3.4.5.7.11.13.17 subgroup.

Plumtree: Infobox ET added

2022-10-05T20:44:01Z

Infobox ET added

← Older revision		Revision as of 20:44, 5 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''19ED4''' is the [[Ed4\|equal division of the double octave]] into 19 parts of 126.3158 [[cent\|cents]] each (every second step of [[19edo]]). It is consistent to the no-twos 17-integer-limit. Using the patent val, it tempers out 375/343 and 6561/6125 in the 7-limit; 81/77, 125/121, and 363/343 in the 11-limit; 65/63, 169/165, 585/539, and 1287/1225 in the 13-limit; 51/49, 121/119, 125/119, 189/187, and 195/187 in the 17-limit (no-twos subgroup). It tempers out 36/35, 64/63, and 375/343 in the 3.4.5.7 subgroup; 45/44, 80/77, 81/77, and 363/343 in the 3.4.5.7.11 subgroup; 52/49, 65/63, 65/64, 143/140, and 169/165 in the 3.4.5.7.11.13 subgroup; 51/49, 52/51, 85/84, and 121/119 in the 3.4.5.7.11.13.17 subgroup.		'''19ED4''' is the [[Ed4\|equal division of the double octave]] into 19 parts of 126.3158 [[cent\|cents]] each (every second step of [[19edo]]). It is consistent to the no-twos 17-integer-limit. Using the patent val, it tempers out 375/343 and 6561/6125 in the 7-limit; 81/77, 125/121, and 363/343 in the 11-limit; 65/63, 169/165, 585/539, and 1287/1225 in the 13-limit; 51/49, 121/119, 125/119, 189/187, and 195/187 in the 17-limit (no-twos subgroup). It tempers out 36/35, 64/63, and 375/343 in the 3.4.5.7 subgroup; 45/44, 80/77, 81/77, and 363/343 in the 3.4.5.7.11 subgroup; 52/49, 65/63, 65/64, 143/140, and 169/165 in the 3.4.5.7.11.13 subgroup; 51/49, 52/51, 85/84, and 121/119 in the 3.4.5.7.11.13.17 subgroup.

Xenllium: minor edit

2019-02-15T11:20:36Z

minor edit

← Older revision		Revision as of 11:20, 15 February 2019
Line 1:		Line 1:
	'''19ED4''' is the [[Ed4\|equal division of the double octave]] into 19 parts of 126.3158 [[cent\|cents]] each (every second step of [[19edo]]). It is consistent to the no-twos 17-integer-limit. It tempers out 375/343 and 6561/6125 in the 7-limit; 81/77, 125/121, and 363/343 in the 11-limit; 65/63, 169/165, 585/539, and 1287/1225 in the 13-limit; 51/49, 121/119, 125/119, 189/187, and 195/187 in the 17-limit; (no-twos subgroup). It tempers out 36/35, 64/63, and 375/343 in the 3.4.5.7 subgroup; 45/44, 80/77, 81/77, and 363/343 in the 3.4.5.7.11 subgroup; 52/49, 65/63, 65/64, 143/140, and 169/165 in the 3.4.5.7.11.13 subgroup; 51/49, 52/51, 85/84, and 121/119 in the 3.4.5.7.11.13.17 subgroup.		'''19ED4''' is the [[Ed4\|equal division of the double octave]] into 19 parts of 126.3158 [[cent\|cents]] each (every second step of [[19edo]]). It is consistent to the no-twos 17-integer-limit. Using the patent val, it tempers out 375/343 and 6561/6125 in the 7-limit; 81/77, 125/121, and 363/343 in the 11-limit; 65/63, 169/165, 585/539, and 1287/1225 in the 13-limit; 51/49, 121/119, 125/119, 189/187, and 195/187 in the 17-limit (no-twos subgroup). It tempers out 36/35, 64/63, and 375/343 in the 3.4.5.7 subgroup; 45/44, 80/77, 81/77, and 363/343 in the 3.4.5.7.11 subgroup; 52/49, 65/63, 65/64, 143/140, and 169/165 in the 3.4.5.7.11.13 subgroup; 51/49, 52/51, 85/84, and 121/119 in the 3.4.5.7.11.13.17 subgroup.

	Lookalikes: [[15edt]]		Lookalikes: [[15edt]]

	[[Category:Ed4]]		[[Category:Ed4]]

Xenllium: Created page with "'''19ED4''' is the equal division of the double octave into 19 parts of 126.3158 cents each (every second step of 19edo). It is consistent to the no-twos..."

2019-02-15T10:51:17Z

Created page with "'''19ED4''' is the equal division of the double octave into 19 parts of 126.3158 cents each (every second step of 19edo). It is consistent to the no-twos..."

New page

'''19ED4''' is the [[Ed4|equal division of the double octave]] into 19 parts of 126.3158 [[cent|cents]] each (every second step of [[19edo]]). It is consistent to the no-twos 17-integer-limit. It tempers out 375/343 and 6561/6125 in the 7-limit; 81/77, 125/121, and 363/343 in the 11-limit; 65/63, 169/165, 585/539, and 1287/1225 in the 13-limit; 51/49, 121/119, 125/119, 189/187, and 195/187 in the 17-limit; (no-twos subgroup). It tempers out 36/35, 64/63, and 375/343 in the 3.4.5.7 subgroup; 45/44, 80/77, 81/77, and 363/343 in the 3.4.5.7.11 subgroup; 52/49, 65/63, 65/64, 143/140, and 169/165 in the 3.4.5.7.11.13 subgroup; 51/49, 52/51, 85/84, and 121/119 in the 3.4.5.7.11.13.17 subgroup.

Lookalikes: [[15edt]]

[[Category:Ed4]]