Mirkwai family: Difference between revisions

Latest revision as of 00:28, 24 June 2025

This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.

The mirkwai family of planar temperaments tempers out the mirkwai comma, 16875/16807.

Mirkwai

Subgroup: 2.3.5.7

Comma list: 16875/16807 (mirkwai)

Mapping: [⟨1 0 0 0], ⟨0 1 3 3], ⟨0 0 -5 -4]]

Mapping generators: ~2, ~3, ~7/5

Minimax tuning:

7-odd-limit

[[1 0 0 0⟩, [0 4/7 -4/7 5/7⟩, [0 -3/7 3/7 5/7⟩, [0 0 0 1⟩]

Eigenmonzos (unchanged-intervals): 2, 8/7, 6/5

9-odd-limit

[[1 0 0 0⟩, [0 8/11 -4/11 5/11⟩, [0 -6/11 3/11 10/11⟩, [0 0 0 1⟩]

Eigenmonzos (unchanged-intervals): 2, 10/9, 8/7

Optimal ET sequence: 31, 41, 72, 152, 224

Badness: 0.342 × 10^-3

Projection pairs: 5 84375/16807 7 16875/2401 to 2.3.7/5

Indra

Subgroup: 2.3.5.7.11

Comma list: 540/539, 1375/1372

Mapping: [⟨1 0 0 0 2], ⟨0 1 3 3 0], ⟨0 0 -5 -4 3]]

Mapping generators: ~2, ~3, ~7/5

Mapping to lattice: [⟨0 2 1 2 3], ⟨0 -1 2 1 -3]]

Lattice basis:

15/14 length = 0.6184, 55/36 length = 0.7585

Angle (15/14, 55/36) = 68.1048 deg

Minimax tuning:

11-odd-limit

[[1 0 0 0 0⟩, [10 10 -3 0 -5⟩, [0 0 1 0 0⟩, [6 6 -1 0 -3⟩, [20 18 -6 0 -9⟩]

Eigenmonzos (unchanged-intervals): 2, 11/9, 5/4

Optimal ET sequence: 31, 41, 72, 152, 224, 631d, 855d

Badness: 0.266 × 10^-3

Projection pairs: 5 84375/16807 7 16875/2401 11 1372/125 to 2.3.7/5

Scales: indra31

Shibi

Subgroup: 2.3.5.7.11.13

Comma list: 540/539, 729/728, 1375/1372

Mapping: [⟨1 0 0 0 2 -3], ⟨0 1 3 3 0 3], ⟨0 0 -5 -4 4]]

Optimal ET sequence: 31f, 39df, 41, 72, 111, 152f, 183, 224, 631d, 855d

Badness: 0.721 × 10^-3

Yajna

Subgroup: 2.3.5.7.11.13

Comma list: 540/539, 625/624, 1375/1372

Mapping: [⟨1 0 0 0 2 -4], ⟨0 1 3 3 0 11], ⟨0 0 -5 -4 3 -20]]

Mapping generators: ~2, ~3, ~7/5

Minimax tuning:

13-odd-limit

[[1 0 0 0 0 0⟩, [4/5 6/5 -4/5 0 0 1/5⟩, [8/5 2/5 -3/5 0 0 2/5⟩, [44/25 26/25 -24/25 0 0 11/25⟩, [62/25 48/25 -27/25 0 0 3/25⟩, [8/5 2/5 -8/5 0 0 7/5⟩]

Eigenmonzos (unchanged-intervals): 2, 10/9, 13/10

15-odd-limit minimax

[[1 0 0 0 0 0⟩, [0 1 0 0 0 0⟩, [5/4 1/2 0 -5/16 0 5/16⟩, [1 1 0 -1/4 0 1/4⟩, [5/4 3/2 0 3/16 0 -3/16⟩, [1 1 0 -5/4 0 5/4⟩]

Eigenmonzos (unchanged-intervals): 2, 14/13, 4/3

Optimal ET sequence: 31, 49f, 72, 103, 121, 152f, 193, 224

Badness: 0.700 × 10^-3

Vibhu

Subgroup: 2.3.5.7.11.13

Comma list: 351/350, 540/539, 1375/1372

Mapping: [⟨1 0 0 0 2 1], ⟨0 1 3 3 0 6], ⟨0 0 -5 -4 3 -14]]

Optimal ET sequence: 31, 64cdf, 72, 103, 111, 152, 175f, 183, 469f

Badness: 0.826 × 10^-3

Vish

Subgroup: 2.3.5.7.11.13

Comma list: 325/324, 364/363, 540/539

Mapping: [⟨1 0 0 0 2 2], ⟨0 1 3 3 0 -2], ⟨0 0 -5 -4 3 10]]

Optimal ET sequence: 31f, 41, 72, 121, 193

Badness: 0.930 × 10^-3

Mirkwai family: Difference between revisions

Latest revision as of 00:28, 24 June 2025

Contents

Mirkwai

Indra

Shibi

Yajna

Vibhu

Vish

Navigation menu

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+{{Technical data page}}
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
+The '''mirkwai family''' of [[planar temperament]]s tempers out the [[mirkwai comma]], 16875/16807.
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-22 13:35:13 UTC</tt>.<br>
-: The original revision id was <tt>247712165</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">[[toc|flat]]
-The mirkwai family of [[planar temperament]]s tempers out the mirkwai comma, 16875/16807.
+== Mirkwai ==
+[[Subgroup]]: 2.3.5.7
-=Vital statistics=
+[[Comma list]]: 16875/16807 (mirkwai)
-[[Comma]]: mirkwai 16875/16807
--limit minimax
+[[Mapping]]: [{{val| 1 0 0 0 }}, {{val| 0 1 3 3 }}, {{val| 0 0 -5 -4 }}]
-[|1 0 0 0&gt;, |0 4/7 -4/7 5/7&gt;,
-|0 -3/7 3/7 5/7&gt;, |0 0 0 1&gt;]
-[[Eigenmonzo|Eigenmonzos]]: 2, 8/7, 6/5
--limit minimax
+Mapping generators: ~2, ~3, ~7/5
-[|1 0 0 0&gt;, |0 8/11 -4/11 5/11&gt;,
-|0 -6/11 3/11 10/11&gt;, |0 0 0 1&gt;]
-[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 8/7
-Map: [&lt;1 0 0 0|, &lt;0 1 3 3|, &lt;0 0 -5 -4|]
+[[Minimax tuning]]:
-[[Generator|Generators]]: 2, 3, 7/5
+* [[7-odd-limit]]
-[[edo|Edos]]: [[72edo|72]], [[152edo|152]], [[193edo|193]], [[224edo|224]], [[296edo|296]], [[327edo|327]], [[775edo|775]]
+: [{{monzo| 1 0 0 0 }}, {{monzo| 0 4/7 -4/7 5/7 }}, {{monzo| 0 -3/7 3/7 5/7 }}, {{monzo| 0 0 0 1 }}]
-Badness: 0.000342
+: [[Eigenmonzo]]s (unchanged-intervals): 2, 8/7, 6/5
+* [[9-odd-limit]]
+: [{{monzo| 1 0 0 0 }}, {{monzo| 0 8/11 -4/11 5/11 }}, {{monzo| 0 -6/11 3/11 10/11 }}, {{monzo| 0 0 0 1 }}]
+: [[Eigenmonzo]]s (unchanged-intervals): 2, 10/9, 8/7
+{{Optimal ET sequence|legend=1| 31, 41, 72, 152, 224 }}
+[[Badness]]: 0.342 × 10<sup>-3</sup>
 [[Projection pair]]s: 5 84375/16807 7 16875/2401 to 2.3.7/5
-=Indra=
+== Indra ==
-[[Comma|Commas]]: 540/539, 1375/1372
+[[Subgroup]]: 2.3.5.7.11
+[[Comma list]]: 540/539, 1375/1372
+[[Mapping]]: [{{val| 1 0 0 0 2 }}, {{val| 0 1 3 3 0 }}, {{val| 0 0 -5 -4 3 }}]
-[[Minimax tuning]]
+Mapping generators: ~2, ~3, ~7/5
-[|1 0 0 0 0&gt;, |10 10 -3 0 -5&gt;, |0 0 1 0 0&gt;,
-|6 6 -1 0 -3&gt;, |20 18 -6 0 -9&gt;]
-[[Eigenmonzo|Eigenmonzos]]: 2, 11/9, 5/4
-Lattice basis: 15/14 length 0.6184 55/36 length 0.7585
+[[Mapping to lattice]]: [{{val| 0 2 1 2 3 }}, {{val| 0 -1 2 1 -3 }}]
-Angle(15/14, 55/36) = 68.1048 cents
-Map to lattice: [&lt;0 2 1 2 3|, &lt;0 -1 2 1 -3|]
-Map: [&lt;1 0 0 0 2|, &lt;0 1 3 3 0|, &lt;0 0 -5 -4 3|]
+Lattice basis:
-[[Generator|Generators]]: 2, 3, 7/5
+: 15/14 length = 0.6184, 55/36 length = 0.7585
-[[edo|Edos]]: 31, 41, [[72edo|72]], [[152edo|152]], [[224edo|224]], [[296edo|296]], [[703edo|703]]
+: Angle (15/14, 55/36) = 68.1048 deg
-Badness: 0.000266
+[[Minimax tuning]]:
+* [[11-odd-limit]]
+: [{{monzo| 1 0 0 0 0 }}, {{monzo| 10 10 -3 0 -5 }}, {{monzo| 0 0 1 0 0 }}, {{monzo| 6 6 -1 0 -3 }}, {{monzo| 20 18 -6 0 -9 }}]
+: [[Eigenmonzo]]s (unchanged-intervals): 2, 11/9, 5/4
+{{Optimal ET sequence|legend=1| 31, 41, 72, 152, 224, 631d, 855d }}
+[[Badness]]: 0.266 × 10<sup>-3</sup>
 [[Projection pair]]s: 5 84375/16807 7 16875/2401 11 1372/125 to 2.3.7/5
@@ Line 51: / Line 53: @@
 Scales: [[indra31]]
-==Shibi==
+=== Shibi ===
-Commas: 540/539, 729/728, 1375/1372
+Subgroup: 2.3.5.7.11.13
+Comma list: 540/539, 729/728, 1375/1372
+Mapping: [{{val| 1 0 0 0 2 -3 }}, {{val| 0 1 3 3 0 3 }}, {{val| 0 0 -5 -4 4 }}]
+{{Optimal ET sequence|legend=1| 31f, 39df, 41, 72, 111, 152f, 183, 224, 631d, 855d }}
+Badness: 0.721 × 10<sup>-3</sup>
+=== Yajna ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 540/539, 625/624, 1375/1372
+Mapping: [{{val| 1 0 0 0 2 -4 }}, {{val| 0 1 3 3 0 11 }}, {{val| 0 0 -5 -4 3 -20 }}]
+Mapping generators: ~2, ~3, ~7/5
+Minimax tuning:
+* 13-odd-limit
+: [{{monzo| 1 0 0 0 0 0 }}, {{monzo| 4/5 6/5 -4/5 0 0 1/5 }}, {{monzo| 8/5 2/5 -3/5 0 0 2/5 }}, {{monzo| 44/25 26/25 -24/25 0 0 11/25 }}, {{monzo| 62/25 48/25 -27/25 0 0 3/25 }}, {{monzo| 8/5 2/5 -8/5 0 0 7/5 }}]
+: [[Eigenmonzo]]s (unchanged-intervals): 2, 10/9, 13/10
+* 15-odd-limit minimax
+: [{{monzo| 1 0 0 0 0 0 }}, {{monzo| 0 1 0 0 0 0 }}, {{monzo| 5/4 1/2 0 -5/16 0 5/16 }}, {{monzo| 1 1 0 -1/4 0 1/4 }}, {{monzo| 5/4 3/2 0 3/16 0 -3/16 }}, {{monzo| 1 1 0 -5/4 0 5/4 }}]
+: [[Eigenmonzo]]s (unchanged-intervals): 2, 14/13, 4/3
+{{Optimal ET sequence|legend=1| 31, 49f, 72, 103, 121, 152f, 193, 224 }}
+Badness: 0.700 × 10<sup>-3</sup>
+=== Vibhu ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 351/350, 540/539, 1375/1372
+Mapping: [{{val| 1 0 0 0 2 1 }}, {{val| 0 1 3 3 0 6 }}, {{val| 0 0 -5 -4 3 -14 }}]
+{{Optimal ET sequence|legend=1| 31, 64cdf, 72, 103, 111, 152, 175f, 183, 469f }}
-Map: [&lt;1 0 0 0 2 -4 -3|, &lt;0 1 3 3 0 11 3|, &lt;0 0 -5 -4 3 4|]
+Badness: 0.826 × 10<sup>-3</sup>
-EDOs: 41, 72, 111, 183, 224, 703
-Badness: 0.000721
-==Yajna==
+=== Vish ===
-[[Comma|Commas]]: 540/539, 625/624, 1375/1372
+Subgroup: 2.3.5.7.11.13
--limit minimax
+Comma list: 325/324, 364/363, 540/539
-[|1 0 0 0 0 0&gt;, |4/5 6/5 -4/5 0 0 1/5&gt;,
-|8/5 2/5 -3/5 0 0 2/5&gt;,
-|44/25 26/25 -24/25 0 0 11/25&gt;,
-|62/25 48/25 -27/25 0 0 3/25&gt;,
-|8/5 2/5 -8/5 0 0 7/5&gt;]
-[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 13/10
--limit minimax
+Mapping: [{{val| 1 0 0 0 2 2 }}, {{val| 0 1 3 3 0 -2 }}, {{val| 0 0 -5 -4 3 10 }}]
-[|1 0 0 0 0 0&gt;, |0 1 0 0 0 0&gt;,
-|5/4 1/2 0 -5/16 0 5/16&gt;,
-|1 1 0 -1/4 0 1/4&gt;,
-|5/4 3/2 0 3/16 0 -3/16&gt;,
-|1 1 0 -5/4 0 5/4&gt;]
-[[Eigenmonzo|Eigenmonzos]]: 2, 14/13, 4/3
-Map: [&lt;1 0 0 0 2 -4|, &lt;0 1 3 3 0 11|, &lt;0 0 -5 -4 3 -20|]
+{{Optimal ET sequence|legend=1| 31f, 41, 72, 121, 193 }}
-[[Generator|Generators]]: 2, 3, 7/5
-[[edo|Edos]]: [[31edo|31]], [[72edo|72]], [[103edo|103]], [[193edo|193]], 224, 296, 520, 703
-Badness: 0.000700
-==Vibhu==
+Badness: 0.930 × 10<sup>-3</sup>
-[[Comma|Commas]]: 540/539, 1375/1372, 351/350
-==Vish==
+[[Category:Temperament families]]
-[[Comma|Commas]]: 540/539, 1375/1372, 325/324
+[[Category:Pages with mostly numerical content]]
-</pre></div>
+[[Category:Mirkwai family]] <!-- main article -->
-<h4>Original HTML content:</h4>
+[[Category:Rank 3]]
-<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Mirkwai family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:12:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;a href="#Vital statistics"&gt;Vital statistics&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt; | &lt;a href="#Indra"&gt;Indra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;br /&gt;
-The mirkwai family of &lt;a class="wiki_link" href="/planar%20temperament"&gt;planar temperament&lt;/a&gt;s tempers out the mirkwai comma, 16875/16807.&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Vital statistics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Vital statistics&lt;/h1&gt;
-&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: mirkwai 16875/16807&lt;br /&gt;
-&lt;br /&gt;
--limit minimax&lt;br /&gt;
-[|1 0 0 0&amp;gt;, |0 4/7 -4/7 5/7&amp;gt;, &lt;br /&gt;
-|0 -3/7 3/7 5/7&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
-&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 8/7, 6/5&lt;br /&gt;
-&lt;br /&gt;
--limit minimax&lt;br /&gt;
-[|1 0 0 0&amp;gt;, |0 8/11 -4/11 5/11&amp;gt;, &lt;br /&gt;
-|0 -6/11 3/11 10/11&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
-&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9, 8/7&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 0 0 0|, &amp;lt;0 1 3 3|, &amp;lt;0 0 -5 -4|]&lt;br /&gt;
-&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 7/5&lt;br /&gt;
-&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/152edo"&gt;152&lt;/a&gt;, &lt;a class="wiki_link" href="/193edo"&gt;193&lt;/a&gt;, &lt;a class="wiki_link" href="/224edo"&gt;224&lt;/a&gt;, &lt;a class="wiki_link" href="/296edo"&gt;296&lt;/a&gt;, &lt;a class="wiki_link" href="/327edo"&gt;327&lt;/a&gt;, &lt;a class="wiki_link" href="/775edo"&gt;775&lt;/a&gt;&lt;br /&gt;
-Badness: 0.000342&lt;br /&gt;
-&lt;br /&gt;
-&lt;a class="wiki_link" href="/Projection%20pair"&gt;Projection pair&lt;/a&gt;s: 5 84375/16807 7 16875/2401 to 2.3.7/5&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Indra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Indra&lt;/h1&gt;
-&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 540/539, 1375/1372&lt;br /&gt;
-&lt;br /&gt;
-&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;&lt;br /&gt;
-[|1 0 0 0 0&amp;gt;, |10 10 -3 0 -5&amp;gt;, |0 0 1 0 0&amp;gt;, &lt;br /&gt;
-|6 6 -1 0 -3&amp;gt;, |20 18 -6 0 -9&amp;gt;]&lt;br /&gt;
-&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 11/9, 5/4&lt;br /&gt;
-&lt;br /&gt;
-Lattice basis: 15/14 length 0.6184 55/36 length 0.7585&lt;br /&gt;
-Angle(15/14, 55/36) = 68.1048 cents&lt;br /&gt;
-Map to lattice: [&amp;lt;0 2 1 2 3|, &amp;lt;0 -1 2 1 -3|]&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 0 0 0 2|, &amp;lt;0 1 3 3 0|, &amp;lt;0 0 -5 -4 3|]&lt;br /&gt;
-&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 7/5&lt;br /&gt;
-&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: 31, 41, &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/152edo"&gt;152&lt;/a&gt;, &lt;a class="wiki_link" href="/224edo"&gt;224&lt;/a&gt;, &lt;a class="wiki_link" href="/296edo"&gt;296&lt;/a&gt;, &lt;a class="wiki_link" href="/703edo"&gt;703&lt;/a&gt;&lt;br /&gt;
-Badness: 0.000266&lt;br /&gt;
-&lt;br /&gt;
-&lt;a class="wiki_link" href="/Projection%20pair"&gt;Projection pair&lt;/a&gt;s: 5 84375/16807 7 16875/2401 11 1372/125 to 2.3.7/5&lt;br /&gt;
-&lt;br /&gt;
-Scales: &lt;a class="wiki_link" href="/indra31"&gt;indra31&lt;/a&gt;&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Indra-Shibi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Shibi&lt;/h2&gt;
-Commas: 540/539, 729/728, 1375/1372&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 0 0 0 2 -4 -3|, &amp;lt;0 1 3 3 0 11 3|, &amp;lt;0 0 -5 -4 3 4|]&lt;br /&gt;
-EDOs: 41, 72, 111, 183, 224, 703&lt;br /&gt;
-Badness: 0.000721&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Indra-Yajna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Yajna&lt;/h2&gt;
-&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 540/539, 625/624, 1375/1372&lt;br /&gt;
-&lt;br /&gt;
--limit minimax&lt;br /&gt;
-[|1 0 0 0 0 0&amp;gt;, |4/5 6/5 -4/5 0 0 1/5&amp;gt;, &lt;br /&gt;
-|8/5 2/5 -3/5 0 0 2/5&amp;gt;, &lt;br /&gt;
-|44/25 26/25 -24/25 0 0 11/25&amp;gt;, &lt;br /&gt;
-|62/25 48/25 -27/25 0 0 3/25&amp;gt;, &lt;br /&gt;
-|8/5 2/5 -8/5 0 0 7/5&amp;gt;]&lt;br /&gt;
-&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9, 13/10&lt;br /&gt;
-&lt;br /&gt;
--limit minimax&lt;br /&gt;
-[|1 0 0 0 0 0&amp;gt;, |0 1 0 0 0 0&amp;gt;, &lt;br /&gt;
-|5/4 1/2 0 -5/16 0 5/16&amp;gt;,&lt;br /&gt;
-|1 1 0 -1/4 0 1/4&amp;gt;, &lt;br /&gt;
-|5/4 3/2 0 3/16 0 -3/16&amp;gt;, &lt;br /&gt;
-|1 1 0 -5/4 0 5/4&amp;gt;]&lt;br /&gt;
-&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 14/13, 4/3&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 0 0 0 2 -4|, &amp;lt;0 1 3 3 0 11|, &amp;lt;0 0 -5 -4 3 -20|]&lt;br /&gt;
-&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 7/5&lt;br /&gt;
-&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/103edo"&gt;103&lt;/a&gt;, &lt;a class="wiki_link" href="/193edo"&gt;193&lt;/a&gt;, 224, 296, 520, 703&lt;br /&gt;
-Badness: 0.000700&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Indra-Vibhu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Vibhu&lt;/h2&gt;
-&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 540/539, 1375/1372, 351/350&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Indra-Vish"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Vish&lt;/h2&gt;
-&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 540/539, 1375/1372, 325/324&lt;/body&gt;&lt;/html&gt;</pre></div>

Mirkwai family: Difference between revisions

Latest revision as of 00:28, 24 June 2025

Mirkwai

Indra

Shibi

Yajna

Vibhu

Vish

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