209edt - Revision history

Lériendil at 16:33, 5 October 2024

2024-10-05T16:33:11Z

← Older revision		Revision as of 16:33, 5 October 2024
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	{{ED intro}}		{{ED intro}}

	Since 209 factors into {{factorization\|209}}, 209edt has [[11edt]] and [[19edt]] as subsets; it inherits its mapping of the 11th harmonic from the former and the 17th from the latter. It otherwise represents a very strong system in the [[19-limit]] (even including prime 2), being the sum of [[78edt]] which has a flat tendency in the 19-limit and [[131edt]] which has a slight sharp tendency. Its most accurate simple intervals are [[7/5]], [[11/5]], and [[17/9]], all of which it approximates to within about 0.1 cents.		Since 209 factors into {{factorization\|209}}, 209edt has [[11edt]] and [[19edt]] as subsets; it inherits its mapping of the 11th harmonic from the former and the 17th (along with the octave, corresponding to 19edt being a close octave stretch of [[12edo]]) from the latter. It otherwise represents a very strong system in the [[19-limit]] (even including prime 2), being the sum of [[78edt]] which has a flat tendency in the 19-limit and [[131edt]] which has a slight sharp tendency. Its most accurate simple intervals are [[7/5]], [[11/5]], and [[17/9]], all of which it approximates to within about 0.1 cents.

	== Intervals ==		== Intervals ==

2024-10-05T11:58:26Z

← Older revision		Revision as of 11:58, 5 October 2024
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	~~{{Stub}}~~
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

			Since 209 factors into {{factorization\|209}}, 209edt has [[11edt]] and [[19edt]] as subsets; it inherits its mapping of the 11th harmonic from the former and the 17th from the latter. It otherwise represents a very strong system in the [[19-limit]] (even including prime 2), being the sum of [[78edt]] which has a flat tendency in the 19-limit and [[131edt]] which has a slight sharp tendency. Its most accurate simple intervals are [[7/5]], [[11/5]], and [[17/9]], all of which it approximates to within about 0.1 cents.

			== Intervals ==
			{{Interval table}}

	== Harmonics ==		== Harmonics ==
	{{Harmonics in equal\|209\|3\|1\|intervals = prime\|columns = 9}}		{{Harmonics in equal\|209\|3\|1\|intervals = prime\|columns = 9}}
	{{Harmonics in equal\|209\|3\|1\|start = 12\|collapsed = 1\|intervals = odd}}		{{Harmonics in equal\|209\|3\|1\|start = 12\|collapsed = 1\|intervals = odd}}

2024-10-05T11:54:44Z

← Older revision		Revision as of 11:54, 5 October 2024
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	== Harmonics ==		== Harmonics ==
	{{Harmonics in equal\|209\|3\|1\|intervals = prime\|columns = 10}}		{{Harmonics in equal\|209\|3\|1\|intervals = prime\|columns = 9}}
	{{Harmonics in equal\|209\|3\|1\|start = 12\|collapsed = 1\|intervals = odd}}		{{Harmonics in equal\|209\|3\|1\|start = 12\|collapsed = 1\|intervals = odd}}

2024-10-05T11:54:34Z

← Older revision		Revision as of 11:54, 5 October 2024
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	== Harmonics ==		== Harmonics ==
	{{Harmonics in equal\|209\|3\|1\|intervals = prime}}		{{Harmonics in equal\|209\|3\|1\|intervals = prime\|columns = 10}}
	{{Harmonics in equal\|209\|3\|1\|start = 12\|collapsed = 1\|intervals = odd}}		{{Harmonics in equal\|209\|3\|1\|start = 12\|collapsed = 1\|intervals = odd}}

2024-10-05T11:54:17Z

fixed 101 -> 209

@@ Line 4: / Line 4: @@
 == Harmonics ==
-{{Harmonics in equal
+{{Harmonics in equal|209|3|1|intervals = prime}}
-| steps = 209
+{{Harmonics in equal|209|3|1|start = 12|collapsed = 1|intervals = odd}}

2024-10-05T11:53:51Z

2024-10-05T11:52:55Z

Still prime harmonics, but just as 2 short tables instead of 1 wide one, so that it displays properly on mobile devices and vertical monitors

← Older revision		Revision as of 11:52, 5 October 2024
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	== Harmonics ==		== Harmonics ==
	{{Harmonics in equal\|~~209~~\|3\|1\|intervals=prime\|~~columns~~=15}}		{{Harmonics in equal
			\| steps = 101
			\| num = 3
			\| denom = 1
			\| intervals = prime
			}}
			{{Harmonics in equal
			\| steps = 101
			\| num = 3
			\| denom = 1
			\| start = 12
			\| collapsed = 1
			\| intervals = prime
			}}

2024-10-05T11:49:29Z

prime harmonics are still better imo

← Older revision		Revision as of 11:49, 5 October 2024
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	== Harmonics ==		== Harmonics ==
	{{Harmonics in equal		{{Harmonics in equal\|209\|3\|1\|intervals=prime\|columns=15}}
	\| ~~steps =~~ 209
	\| ~~num =~~ 3
	\| ~~denom =~~ 1
	}}
	~~{{Harmonics in equal~~
	\| ~~steps~~ = ~~209~~
	\| ~~num~~ = 3
	~~\| denom = 1~~
	~~\| start = 12~~
	~~\| collapsed = 1~~
	}}

2024-10-05T09:58:53Z

2024-10-05T03:57:36Z

Intro inter harm

← Older revision		Revision as of 03:57, 5 October 2024
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	== Harmonics ==		== Harmonics ==
	{{Harmonics in equal\|209\|3\|1\|~~intervals~~=~~prime~~\|~~columns~~=15}}		{{Harmonics in equal
			\| steps = 209
			\| num = 3
			\| denom = 1
			}}
			{{Harmonics in equal
			\| steps = 209
			\| num = 3
			\| denom = 1
			\| start = 12
			\| collapsed = 1
			}}