771edo - Revision history

ArrowHead294 at 16:15, 20 February 2025

2025-02-20T16:15:58Z

← Older revision		Revision as of 16:15, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|771~~}}		{{ED intro}}

	771edo is [[consistency\|distinctly consistent]] up to the [[21-odd-limit]], with all of the [[prime harmonic]]s to 19 having a flat tendency.		771edo is [[consistency\|distinctly consistent]] up to the [[21-odd-limit]], with all of the [[prime harmonic]]s to 19 having a flat tendency.

FloraC: Adopt template: Factorization; misc. cleanup

2023-11-02T12:11:08Z

Adopt template: Factorization; misc. cleanup

← Older revision		Revision as of 12:11, 2 November 2023
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	{{EDO intro\|771}}		{{EDO intro\|771}}

	771edo is [[consistency\|distinctly consistent]] up to the [[21-odd-limit]], with all of the ~~primes~~ to 19 having a flat tendency.		771edo is [[consistency\|distinctly consistent]] up to the [[21-odd-limit]], with all of the [[prime harmonic]]s to 19 having a flat tendency.

	In the 5-limit it [[tempering out\|tempers out]] the [[monzisma]], {{monzo\| 54 -37 2 }}, and the [[mutt comma]], {{monzo\| -44 -3 21 }}; in the 7-limit [[65625/65536]] and [[250047/250000]]; in the 11-limit [[3025/3024]]; in the 13-limit [[4225/4224]] and [[10648/10647]]; in the 17-limit [[833/832]], [[1225/1224]], [[2058/2057]], [[2431/2430]] and [[2601/2600]]; and in the 19-limit [[1445/1444]], 1540/1539, [[1729/1728]], 2926/2925, 3250/3249, 4200/4199 and 5985/5984. It provides the [[optimal patent val]] for the rank-6 temperament tempering out 833/832 and various other temperaments tempering it out.		In the 5-limit it [[tempering out\|tempers out]] the [[monzisma]], {{monzo\| 54 -37 2 }}, and the [[mutt comma]], {{monzo\| -44 -3 21 }}; in the 7-limit [[65625/65536]] and [[250047/250000]]; in the 11-limit [[3025/3024]]; in the 13-limit [[4225/4224]] and [[10648/10647]]; in the 17-limit [[833/832]], [[1225/1224]], [[2058/2057]], [[2431/2430]] and [[2601/2600]]; and in the 19-limit [[1445/1444]], 1540/1539, [[1729/1728]], 2926/2925, 3250/3249, 4200/4199 and 5985/5984. It provides the [[optimal patent val]] for the rank-6 temperament tempering out 833/832 and various other temperaments tempering it out.
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 771 factors into ~~3 × 257~~, 771edo contains [[3edo]] and [[257edo]] as ~~its~~ subsets.		Since 771 factors into {{factorization\|771}}, 771edo contains [[3edo]] and [[257edo]] as subsets.

	[[Category:Horizmic]]		[[Category:Horizmic]]

FloraC: Cleanup; +subsets and supersets

2023-10-20T11:57:35Z

Cleanup; +subsets and supersets

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-The '''771 equal division''' divides the octave into 771 equal parts of 1.556 cents each. It is uniquely [[consistent|consistent]] up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, |54 -37 2&gt;, and |-44 -3 21&gt;; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the [[Optimal_patent_val|optimal patent val]] for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.
+{{EDO intro|771}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+edo is [[consistency|distinctly consistent]] up to the [[21-odd-limit]], with all of the primes to 19 having a flat tendency.

BudjarnLambeth at 06:45, 9 July 2023

2023-07-09T06:45:33Z

← Older revision		Revision as of 06:45, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	The '''771 equal division''' divides the octave into 771 equal parts of 1.556 cents each. It is uniquely [[consistent\|consistent]] up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, \|54 -37 2>, and \|-44 -3 21>; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the [[Optimal_patent_val\|optimal patent val]] for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.		The '''771 equal division''' divides the octave into 771 equal parts of 1.556 cents each. It is uniquely [[consistent\|consistent]] up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, \|54 -37 2>, and \|-44 -3 21>; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the [[Optimal_patent_val\|optimal patent val]] for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.

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

BudjarnLambeth at 05:30, 9 July 2023

2023-07-09T05:30:20Z

← Older revision		Revision as of 05:30, 9 July 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	The '''771 equal division''' divides the octave into 771 equal parts of 1.556 cents each. It is uniquely [[consistent\|consistent]] up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, \|54 -37 2>, and \|-44 -3 21>; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the [[Optimal_patent_val\|optimal patent val]] for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.		The '''771 equal division''' divides the octave into 771 equal parts of 1.556 cents each. It is uniquely [[consistent\|consistent]] up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, \|54 -37 2>, and \|-44 -3 21>; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the [[Optimal_patent_val\|optimal patent val]] for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.

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

Plumtree: Infobox ET added

2022-10-04T22:03:07Z

Infobox ET added

← Older revision		Revision as of 22:03, 4 October 2022
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			{{Infobox ET}}
	The '''771 equal division''' divides the octave into 771 equal parts of 1.556 cents each. It is uniquely [[consistent\|consistent]] up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, \|54 -37 2>, and \|-44 -3 21>; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the [[Optimal_patent_val\|optimal patent val]] for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.		The '''771 equal division''' divides the octave into 771 equal parts of 1.556 cents each. It is uniquely [[consistent\|consistent]] up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, \|54 -37 2>, and \|-44 -3 21>; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the [[Optimal_patent_val\|optimal patent val]] for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.

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

Fredg999 category edits: Categories

2022-07-04T01:06:57Z

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 ''771 equal division'' divides the octave into 771 equal parts of 1.556 cents each. It is uniquely [[consistent\|consistent]] up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, \|54 -37 2>, and \|-44 -3 21>; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the [[Optimal_patent_val\|optimal patent val]] for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.
	~~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>2011-07-14 16:05:54 UTC</tt>.<br>~~
	~~: The original revision id was <tt>241383753</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 //771 equal division// divides the octave into 771 equal parts of 1.556 cents each. It is uniquely [[consistent]] up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, \|54 -37 2>, and \|-44 -3 21>; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the [[optimal patent val]] for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.~~</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>771edo</title></head><body>The <em>771 equal division</em> divides the octave into 771 equal parts of 1.556 cents each. It is uniquely <a class="wiki_link" href="/consistent">consistent</a> up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, \|54 -37 2&gt;, and \|-44 -3 21&gt;; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 241383753 - Original comment:

2011-07-14T16:05:54Z

**Imported revision 241383753 - 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>2011-07-14 16:05:54 UTC</tt>.<br>
: The original revision id was <tt>241383753</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 //771 equal division// divides the octave into 771 equal parts of 1.556 cents each. It is uniquely [[consistent]] up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, |54 -37 2>, and |-44 -3 21>; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the [[optimal patent val]] for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.</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>771edo</title></head><body>The <em>771 equal division</em> divides the octave into 771 equal parts of 1.556 cents each. It is uniquely <a class="wiki_link" href="/consistent">consistent</a> up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, |54 -37 2&gt;, and |-44 -3 21&gt;; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.</body></html></pre></div>

← Older revision		Revision as of 01:06, 4 July 2022
Line 1:		Line 1:
	The ''771 equal division'' divides the octave into 771 equal parts of 1.556 cents each. It is uniquely [[consistent\|consistent]] up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, \|54 -37 2>, and \|-44 -3 21>; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the [[Optimal_patent_val\|optimal patent val]] for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.		The '''771 equal division''' divides the octave into 771 equal parts of 1.556 cents each. It is uniquely [[consistent\|consistent]] up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, \|54 -37 2>, and \|-44 -3 21>; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the [[Optimal_patent_val\|optimal patent val]] for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.

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