695edo - Revision history

ArrowHead294 at 15:50, 20 February 2025

2025-02-20T15:50:34Z

← Older revision		Revision as of 15:50, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|695~~}}		{{ED intro}}

	695edo is only [[consistent]] to the [[5-odd-limit]] and the error of [[harmonic]] [[3/1\|3]] is quite large. The equal temperament is most notable for [[tempering out]] [[10976/10935]], providing the [[optimal patent val]] for the [[hemimage]] temperament. It also tempers out the [[escapade comma]], {{monzo\| 32 -7 -9 }} in the 5-limit; and {{monzo\| 27 0 -8 -3}} and {{monzo\| -9 5 -8 7 }} in the 7-limit.		695edo is only [[consistent]] to the [[5-odd-limit]] and the error of [[harmonic]] [[3/1\|3]] is quite large. The equal temperament is most notable for [[tempering out]] [[10976/10935]], providing the [[optimal patent val]] for the [[hemimage]] temperament. It also tempers out the [[escapade comma]], {{monzo\| 32 -7 -9 }} in the 5-limit; and {{monzo\| 27 0 -8 -3}} and {{monzo\| -9 5 -8 7 }} in the 7-limit.

FloraC: Rework on theory; +subsets and supersets

2023-11-02T12:37:16Z

Rework on theory; +subsets and supersets

← Older revision		Revision as of 12:37, 2 November 2023
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	{{EDO intro\|695}}		{{EDO intro\|695}}

	In the 5-limit it [[~~tempering out~~\|~~tempers out~~]] ~~the~~ [[~~escapade comma~~]]~~, {{monzo\| 32 -7 -9 }} in the 7-limit it tempers out~~ [[10976/10935]] ~~and 200120949/200000000~~, ~~and provides~~ the [[optimal patent val]] for the [[hemimage]] ~~planar~~ temperament, ~~tempering out 10976/10935~~.		695edo is only [[consistent]] to the [[5-odd-limit]] and the error of [[harmonic]] [[3/1\|3]] is quite large. The equal temperament is most notable for [[tempering out]] [[10976/10935]], providing the [[optimal patent val]] for the [[hemimage]] temperament. It also tempers out the [[escapade comma]], {{monzo\| 32 -7 -9 }} in the 5-limit; and {{monzo\| 27 0 -8 -3}} and {{monzo\| -9 5 -8 7 }} in the 7-limit.

	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|695}}		{{Harmonics in equal\|695}}

			=== Subsets and supersets ===
			Since 695 factors into {{factorization\|695}}, 695edo contains [[5edo]] and [[139edo]] as subsets.

	[[Category:Hemimage]]		[[Category:Hemimage]]

FloraC: Adopt template: EDO intro; +prime error table; -redundant categories

2023-10-22T08:19:44Z

Adopt template: EDO intro; +prime error table; -redundant categories

← Older revision		Revision as of 08:19, 22 October 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~The '''695 equal division''' divides the octave into~~ 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, \|32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.		{{EDO intro\|695}}

	[[~~Category:Equal divisions of~~ the ~~octave\|###~~]] <!-- 3-~~digit number -->~~		In the 5-limit it [[tempering out\|tempers out]] the [[escapade comma]], {{monzo\| 32 -7 -9 }} in the 7-limit it tempers out [[10976/10935]] and 200120949/200000000, and provides the [[optimal patent val]] for the [[hemimage]] planar temperament, tempering out 10976/10935.

			=== Odd harmonics ===
			{{Harmonics in equal\|695}}

			[[Category:Hemimage]]

BudjarnLambeth at 06:44, 9 July 2023

2023-07-09T06:44:09Z

← Older revision		Revision as of 06:44, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	The '''695 equal division''' divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, \|32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.		The '''695 equal division''' divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, \|32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.

	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

BudjarnLambeth at 05:33, 9 July 2023

2023-07-09T05:33:26Z

← Older revision		Revision as of 05:33, 9 July 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	The '''695 equal division''' divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, \|32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.		The '''695 equal division''' divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, \|32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.

	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Plumtree: Infobox ET added

2022-10-04T22:01:29Z

Infobox ET added

← Older revision		Revision as of 22:01, 4 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	The '''695 equal division''' divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, \|32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.		The '''695 equal division''' divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, \|32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.

	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Fredg999 category edits: Categories

2022-07-04T01:05:19Z

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
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	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		The ''695 equal division'' divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, \|32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~
	~~: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-07-13 22:33:32 UTC</tt>.<br>~~
	~~: The original revision id was <tt>241271137</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">The //695 equal division// divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, \|32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.~~</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>695edo</title></head><body>The <em>695 equal division</em> divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, \|32 -7 -9&gt;; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the hemimage planar temperament, tempering out 10976/10935.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 241271137 - Original comment:

2011-07-13T22:33:32Z

**Imported revision 241271137 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-07-13 22:33:32 UTC</tt>.<br>
: The original revision id was <tt>241271137</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">The //695 equal division// divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, |32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.</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>695edo</title></head><body>The <em>695 equal division</em> divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, |32 -7 -9&gt;; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the hemimage planar temperament, tempering out 10976/10935.</body></html></pre></div>

← Older revision		Revision as of 01:05, 4 July 2022
Line 1:		Line 1:
	The ''695 equal division'' divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, \|32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.		The '''695 equal division''' divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, \|32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.

			[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->