44ed6 - Revision history

FloraC: /* Theory */ +subsets and supersets

2025-05-21T11:20:00Z

Theory: +subsets and supersets

← Older revision		Revision as of 11:20, 21 May 2025
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	{{Harmonics in equal\|44\|6\|1\|intervals=integer\|columns=11}}		{{Harmonics in equal\|44\|6\|1\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|44\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 44ed6 (continued)}}		{{Harmonics in equal\|44\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 44ed6 (continued)}}

			=== Subsets and supersets ===
			Since 44 factors into primes as {{nowrap\| 2<sup>2</sup> × 11 }}, 44ed6 has subset ed6's {{EDs\|equave=6\| 2, 4, 11, and 22 }}.

	== Intervals ==		== Intervals ==

FloraC: Cleanup

2025-05-21T11:17:53Z

Cleanup

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''44ed6''' divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 [[cents]] each. It is closely related to [[17edo]] and [[27edt]], and like them is an excellent [[No-fives subgroup temperaments|no-fives]] tuning in the [[13 odd limit]]. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its [[octave]]s are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic ([[tritave]]) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.
+{{ED intro}}
 == Intervals ==
 {{Interval table}}
-== Harmonics ==
+== See also ==
-{{Harmonics in equal
+* [[10edf]] – relative edf
-| steps = 44
+* [[17edo]] – relative edo
-| num = 6
+* [[27edt]] – relative edt

BudjarnLambeth: {{todo|expand}}

2024-12-22T04:30:13Z

← Older revision		Revision as of 04:30, 22 December 2024
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	\| collapsed = 1		\| collapsed = 1
	}}		}}

	[[Category:17edo]]		[[Category:17edo]]
	[[Category:27edt]]		[[Category:27edt]]
	[[Category:Ed6]]		[[Category:Ed6]]

			{{todo\|expand}}

BudjarnLambeth: Intervals, harmonics, add links

2024-11-30T01:57:26Z

Intervals, harmonics, add links

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''44ed6''' divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 cents each. It is closely related to [[17edo|17edo]] and [[27edt|27edt]], and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.
+'''44ed6''' divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 [[cents]] each. It is closely related to [[17edo]] and [[27edt]], and like them is an excellent [[No-fives subgroup temperaments|no-fives]] tuning in the [[13 odd limit]]. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its [[octave]]s are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic ([[tritave]]) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.
 [[Category:17edo]]
 [[Category:27edt]]
 [[Category:Ed6]]

ArrowHead294 at 02:53, 7 September 2024

2024-09-07T02:53:12Z

← Older revision		Revision as of 02:53, 7 September 2024
Line 1:		Line 1:
			{{Infobox ET}}
	'''44ed6''' divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 cents each. It is closely related to [[17edo\|17edo]] and [[27edt\|27edt]], and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.		'''44ed6''' divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 cents each. It is closely related to [[17edo\|17edo]] and [[27edt\|27edt]], and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.
	[[Category:17edo]]		[[Category:17edo]]
	[[Category:27edt]]		[[Category:27edt]]
	[[Category:Ed6]]		[[Category:Ed6]]

BudjarnLambeth: Categorised this uncategorised page

2023-04-25T09:46:56Z

Categorised this uncategorised page

← Older revision		Revision as of 09:46, 25 April 2023
Line 1:		Line 1:
	'''44ed6''' divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 cents each. It is closely related to [[17edo\|17edo]] and [[27edt\|27edt]], and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.		'''44ed6''' divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 cents each. It is closely related to [[17edo\|17edo]] and [[27edt\|27edt]], and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.
			[[Category:17edo]]
			[[Category:27edt]]
			[[Category:Ed6]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
Line 1:		Line 1:
	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		'''44ed6''' divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 cents each. It is closely related to [[17edo\|17edo]] and [[27edt\|27edt]], and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~
	~~: This revision was by author [[User:MasonGreen1\|MasonGreen1]] and made on <tt>2016-04-01 13:54:07 UTC</tt>.<br>~~
	~~: The original revision id was <tt>578875785</tt>.<br>~~
	~~: The revision comment was: <tt></tt><br>~~
	~~The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>~~
	~~<h4>Original Wikitext content:</h4>~~
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">44ed6 divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 cents each. It is closely related to [[17edo]] and [[27edt]], and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.~~</pre></div>~~
	~~<h4>Original HTML content:</h4>~~
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>44ed6</title></head><body><strong>44ed6</strong> divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 cents each. It is closely related to <a class="wiki_link" href="/17edo">17edo</a> and <a class="wiki_link" href="/27edt">27edt</a>, and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.</body></html></pre></div>

Wikispaces>MasonGreen1: Imported revision 578875785 - Original comment:

2016-04-01T13:54:07Z

**Imported revision 578875785 - Original comment: **

← Older revision		Revision as of 13:54, 1 April 2016
Line 1:		Line 1:
	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
	: This revision was by author [[User:MasonGreen1\|MasonGreen1]] and made on <tt>2016-04-01 13:51:53 UTC</tt>.<br>		: This revision was by author [[User:MasonGreen1\|MasonGreen1]] and made on <tt>2016-04-01 13:54:07 UTC</tt>.<br>
	: The original revision id was <tt>~~578875293~~</tt>.<br>		: The original revision id was <tt>578875785</tt>.<br>
	: The revision comment was: <tt></tt><br>		: The revision comment was: <tt></tt><br>
	The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
	<h4>Original Wikitext content:</h4>		<h4>Original Wikitext content:</h4>
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">44ed6 divides the perfect nineteenth (6:1 ratio) into 44 equal tones. It is closely related to [[17edo]] and [[27edt]], and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.</pre></div>		<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">44ed6 divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 cents each. It is closely related to [[17edo]] and [[27edt]], and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.</pre></div>
	<h4>Original HTML content:</h4>		<h4>Original HTML content:</h4>
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>44ed6</title></head><body><strong>44ed6</strong> divides the perfect nineteenth (6:1 ratio) into 44 equal tones. It is closely related to <a class="wiki_link" href="/17edo">17edo</a> and <a class="wiki_link" href="/27edt">27edt</a>, and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.</body></html></pre></div>		<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>44ed6</title></head><body><strong>44ed6</strong> divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 cents each. It is closely related to <a class="wiki_link" href="/17edo">17edo</a> and <a class="wiki_link" href="/27edt">27edt</a>, and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.</body></html></pre></div>

Wikispaces>MasonGreen1: Imported revision 578875293 - Original comment:

2016-04-01T13:51:53Z

**Imported revision 578875293 - Original comment: **

New page

<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:MasonGreen1|MasonGreen1]] and made on <tt>2016-04-01 13:51:53 UTC</tt>.<br>
: The original revision id was <tt>578875293</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">**44ed6** divides the perfect nineteenth (6:1 ratio) into 44 equal tones. It is closely related to [[17edo]] and [[27edt]], and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>44ed6</title></head><body><strong>44ed6</strong> divides the perfect nineteenth (6:1 ratio) into 44 equal tones. It is closely related to <a class="wiki_link" href="/17edo">17edo</a> and <a class="wiki_link" href="/27edt">27edt</a>, and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.</body></html></pre></div>