@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+The '''optimal patent val''' for a [[regular temperament]] is the unique [[patent val]] that [[support]]s the temperament with the lowest [[error]].
-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>2011-02-16 17:25:38 UTC</tt>.<br>
-: The original revision id was <tt>202522754</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">Given any collection of p-limit commas, there is a finite list of p-limit [[Patent val|patent vals]] tempering out the commas. The list is not guaranteed to contain any members, but in most actual circumstances it will. If the list is not empty, then among these patent vals will be found the unique patent val which has the lowest [[Tenney-Euclidean temperament measures|TE error]]; this is the //optimal (TE) patent val// for the temperament defined by the commas. Note that other definitions of error, such as maximum p-limit error, or maximum q-limit error where q is the largest odd number less than the prime above p, lead to different results.
-By tempering a JI scale using N-edo found on the list below we automatically temper it to the corresponding temperament. This can be done in [[http://www.huygens-fokker.org/scala/|Scala]] using the Quantize command: either type in "Quantize/consistent N" on the bottom, or use the pull-down menu under "Modify", check the box saying "Consistent" and type N (without a decimal point) into "Resolution".
+Given any temperament, which is characterized by the [[comma]]s it [[tempering out|tempers out]], there is a finite list of [[patent val]]s that temper out all the commas of the temperament in the same [[subgroup]]. The list is not guaranteed to contain any members, but in most actual circumstances it will. If the list is not empty, then among these patent vals will be found the one which has the lowest [[TE error]]; this is the (TE) optimal patent val for the temperament. Note that other definitions of error lead to different results.
-To limit the search range when finding the optimal patent val a useful observation is this: given N-edo, and an odd prime q &lt;= p, if d is the absolute value in cents of the difference between the tuning of q given by the [[POTE tuning]] and the POTE tuning rounded to the nearest N-edo value, then d &lt; 600/N, from which it follows that N &lt; 600/d. Likewise, if e is the absolute value of the error of q in the patent val tuning, then e &lt; 600/N and so N &lt; 600/e. If N-edo defines an optimal patent val, then the patent val will be identical to the val obtained by rounding the POTE tuning to the nearest N-edo value. We have two distances from the patent val, one to the POTE tuning and one to the the JI tuning, both bounded by 600/N, and so by the triangle inequality the distance from the JI tuning to the POTE tuning, which is the error of the prime q in the POTE tuning, is bounded by 1200/N. Hence, N &lt; 1200/error(q). If now we take the minimum value for 1200/error(prime) for all the odd primes up to p, we obtain an upper bound for N.
-Below are tabulated some values.
+On this wiki, the optimal patent val for each temperament is given as the last patent val in the [[optimal ET sequence]], or stated explicitly in case it is not a member of the sequence.
-==5-limit rank two==
+== Instructions ==
-/25: [[14edo]]
+By tempering a JI scale using the ''N''-edo found on the list below we automatically temper it to the corresponding temperament. This can be done in [http://www.huygens-fokker.org/scala/ Scala] using the Quantize command: either type in "Quantize/consistent N" on the bottom, or use the pull-down menu under "Modify", check the box saying "Consistent" and type N (without a decimal point) into "Resolution".
-/15: [[8edo]]
-/128: [[23edo]]
-/24: [[17edo]]
-/625: [[12edo]]
-/243: [[22edo]]
-/125: [[39edo]]
-/3072: [[60edo]]
-/80: [[81edo]]
-/2025: [[80edo]]
-/78125: [[539edo]]
-/390625: [[164edo]]
-2109375/2097152: [[296edo]]
-/15552: [[458edo]]
-1600000/1594323: [[873edo]]
-1224440064/1220703125: [[1496edo]]
-6115295232/6103515625: [[1400edo]]
-/32768: [[749edo]]
-274877906944/274658203125: [[1559edo]]
-7629394531250/7625597484987: [[3501edo]]
-==7-limit rank two==
+To limit the search range when finding the optimal patent val a useful observation is this: given ''N''-edo, and an odd prime ''q'' ≤ ''p'', if ''d'' is the absolute value in cents of the difference between the tuning of ''q'' given by the [[POTE tuning]] and the POTE tuning rounded to the nearest ''N''-edo value, then d &lt; 600/''N'', from which it follows that N &lt; 600/d. Likewise, if ''e'' is the absolute value of the error of ''q'' in the patent val tuning, then ''e'' &lt; 600/''N'' and so ''N'' &lt; 600/''e''. If ''N''-edo defines an optimal patent val, then the patent val will be identical to the val obtained by rounding the POTE tuning to the nearest N-edo value. We have two distances from the patent val, one to the POTE tuning and one to the the JI tuning, both bounded by 600/''N'', and so by the triangle inequality the distance from the JI tuning to the POTE tuning, which is the error of the prime ''q'' in the POTE tuning, is bounded by 1200/''N''. Hence, ''N'' &lt; 1200/error(''q''). If now we take the minimum value for 1200/error(prime) for all the odd primes up to ''p'', we obtain an upper bound for ''N''.
-[[Ragismic microtemperaments|Ennealimmal]]: [[612edo]]
-[[Ragismic microtemperaments|Supermajor]]: [[6214edo]]
-[[Ragismic microtemperaments|Enneadecal]]: [[2185edo]]
-[[Schismatic family|Sesquiquartififths]]: [[1498edo]]
-[[Breedsmic temperaments|Tertiaseptal]]: [[171edo]]
-[[Meantone family|Meantone]]: [[81edo]]
-[[Schismatic family|Pontiac]]: [[171edo]]
-[[Gamelismic clan|Miracle]]: [[72edo]]
-[[Bug family|Beep]]: [[9edo]]
-[[Magic family|Magic]]: [[41edo]]
-[[Dicot family|Dicot]]: [[7edo]]
-[[Schismatic family|Term]]: [[1722edo]]
-[[Diaschismic family|Pajara]]: [[22edo]]
-[[Wuerschmidt family|Hemiwuerschmidt]]: [[328edo]]
-[[Meantone family|Dominant]]: [[12edo]]
-[[Semicomma family|Orwell]]: [[137edo]]
-[[Trienstonic clan|Father]]: [[5edo]]
-[[Kleismic family|Catakleismic]]: [[197edo]]
-[[Schismatic family|Garibaldi]]: [[94edo]]
-[[Breedsmic temperaments|Hemififths]]: [[338edo]]
-[[Diminished]]: [[12edo]]
-[[Gammic family|Neptune]]: [[1778edo]]
-[[Ragismic microtemperaments|Amity]]: [[350edo]]
-[[Archytas clan|Mother]]: [[5edo]]
-[[Augmented family|Augene]]: [[27edo]]
-[[Meantone family|Sharptone]]: [[5edo]]
-[[Ragismic microtemperaments|Mitonic]]: [[171edo]]
-[[Starling temperaments|Sensi]]: [[46edo]]
-[[Archytas clan|Blacksmith]]: [[15edo]]
-[[Augmented family|August]]: [[12edo]]
-[[Marvel temperaments|Negri]]: [[19edo]]
-[[Meantone family|Godzilla]]: [[19edo]]
-[[Starling temperaments|Myna]]: [[89edo]]
-[[Kleismic family|Keemun]]: [[19edo]]
-[[Ragismic microtemperaments|Parakleismic]]: [[415edo]]
-[[Dicot family|Decimal]]: [[10edo]]
-[[Mutt family|Mutt]]: [[171edo]]
-[[Dicot family|Sharp]]: [[10edo]]
-[[Starling temperaments|Valentine]]: [[185edo]]
-[[Meantone family|Injera]]: [[38edo]]
-[[Archytas clan|Superpyth]]: [[49edo]]
-[[Tetracot family|Octacot]]: [[109edo]]
-[[Breedsmic temperaments|Harry]]: [[534edo]]
-[[Pythagorean family|Compton]]: [[228edo]]
-[[Breedsmic temperaments|Quasiorwell]]: [[1111edo]]
-[[Trienstonic clan|Octokaidecal]]: [[18edo]]
-[[Hemimean clan|Misty]]: [[99edo]]
-[[Gamelismic clan|Rodan]]: [[128edo]]
-[[Meantone family|Mothra]]: [[31edo]]
-[[Gamera]]: [[422edo]]
-==7-limit rank three==
+== Examples ==
-/1000: [[55edo]]
+Below are tabulated some values. In each case an identifier which uniquely identifies the temperament in question is given. In the codimension one case, where the temperament is defined by a single comma, the comma is given and used as a name. In other cases, for a temperament of rank ''n'', ''n'' independent vals are given. Normally this is by way of integers conjoined by ampersands, such as 2&10 for 7-limit pajara. This tells us we can use the 7-limit patent vals for 2 and 10 to define the temperament. In case ''n'' independent patent vals cannot be found, vals using the [[wart notation]] are given; this adjusts the nth prime mapping to its second-best value by appending the ''n''-th lower-case letter in alphabetical order. Thus, "12f" adjusts a patent val for 12 in the 13-limit or above, for instance {{val| 12 19 28 34 42 44 }}, to {{val| 12 19 28 34 42 45 }} (which is actually a better mapping, and hence more useful for this purpose.)
-/35: [[12edo]]
-/512: [[45edo]]
-/48: [[19edo]]
-/49: [[48edo]]
-/675: [[46edo]]
-/63: [[49edo]]
-/864: [[41edo]]
-/3087: [[94edo]]
-/2401: [[137edo]]
-/243: [[283edo]]
-/125: [[185edo]]
-/3969: [[215edo]]
-/1715: [[111edo]]
-/1024: [[190edo]]
-/224: [[197edo]]
-/19600: [[587edo]]
-/16807: [[224edo]]
-/10935: [[695edo]]
-/3125: [[446edo]]
-/6125: [[381edo]]
-/65536: [[171edo]]
-/702464: [[2185edo]]
-/419904: [[4306edo]]
-/2400: [[2749edo]]
-/4374: [[8419edo]]
-/250000: [[12555edo]]
-78125000/78121827: [[101654edo]]
-==11-limit rank two==
+=== 5-limit rank two ===
-[[Ragismic microtemperaments|Hemiennealimmal]]: [[1566edo]]
+Comma: ET w/ optimal patent val: 1000 * badness
-[[Octoid]]: [[224edo]]
-[[Hemiamity]]: [[350edo]]
-[[Mirkwai clan|Grendel]]: [[152edo]]
-[[Gamelismic clan|Unidec]]: [[190edo]]
-[[Minorsemi]]: [[231edo]]
-[[Breedsmic temperaments|Harry]]: [[202edo]]
-[[Marvel temperaments|Wizard]]: [[166edo]]
-[[Kleismic family|Catakleismic]]: [[72edo]]
-[[Wuerschmidt family|Hemiwuerschmidt]]: [[130edo]]
-[[Gamelismic clan|Hemithirds]]: [[118edo]]
-[[Pythagorean family|Compton]]: [[72edo]]
-[[Marvel temperaments|Miracle]]: [[72edo]]
-[[Marvel temperaments|Slender]]: [[125edo]]
-[[Schismatic family|Garibaldi]]: [[94edo]]
-[[Gamelismic clan|Rodan]]: [[87edo]]
-[[Diaschismic family|Diaschismic]]: [[58edo]]
-[[Starling temperaments|Myna]]: [[89edo]]
-[[Starling temperaments|Valentine]]: [[77edo]]
-[[Magic family|Magic]]: [[104edo]]
-[[Marvel temperaments|Tritonic]]: [[31edo]]
-[[Schismatic family|Schismic]]: [[41edo]]
-[[Superkleismic]]: [[41edo]]
-[[Semicomma family|Orwell]]: [[53edo]]
-[[Meantone family|Meanpop]]: [[81edo]]
-[[Meantone family|Mothra]]: [[88edo]]
-[[Meantone family|Huyghens]]: [[105edo]]
-[[Meantone family|Mohajira]]: [[31edo]]
-[[Jubilismic clan|Doublewide]]: [[48edo]]
-[[Diaschismic family|Pajara]]: [[22edo]]
-[[Porcupine family|Porcupine]]: [[59edo]]
-==11-limit rank three==
+/15: [[8edo|8et]] 14.884
-[[Breed family|Jove]]: [[202edo]]
-[[Gamelismic family|Portent]]: [[190edo]]
-[[Didymus rank three family|Euterpe]]: [[88edo]]
-[[Didymus rank three family|Calliope]]: [[45edo]]
-[[Didymus rank three family|Clio]]: [[129edo]]
-[[Breed family|Freya]]: [[1566edo]]
-[[Marvel family|Unimarv]]: [[166edo]]
-[[Porwell family|Zeus]]: [[99edo]]
-[[Mirkwai family|Indra]]: [[703edo]]
-[[Starling family|Thrush]]: [[89edo]]
-[[Marvel family|Prodigy]]: [[72edo]]
-[[Marvel family|Minerva]]: [[127edo]]
-[[Odin]]: [[7464edo]]
-[[Ragisma family|Thor]]: [[2554edo]]
-[[Breed family|Baldur]]: [[1696edo]]
-[[Hades]]: [[578edo]]
-==13-limit rank two==
+/625: [[12edo|12et]] 47.231
-[[Marvel temperaments|Negri]]: [[19edo]]
-[[Sensis]]: [[19edo]]
-[[Meantone family|Huyghens]]: [[31edo]]
-</pre></div>
+/25: [[14edo|14et]] 32.801
-<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Optimal patent val&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Given any collection of p-limit commas, there is a finite list of p-limit &lt;a class="wiki_link" href="/Patent%20val"&gt;patent vals&lt;/a&gt; tempering out the commas. The list is not guaranteed to contain any members, but in most actual circumstances it will. If the list is not empty, then among these patent vals will be found the unique patent val which has the lowest &lt;a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures"&gt;TE error&lt;/a&gt;; this is the &lt;em&gt;optimal (TE) patent val&lt;/em&gt; for the temperament defined by the commas. Note that other definitions of error, such as maximum p-limit error, or maximum q-limit error where q is the largest odd number less than the prime above p, lead to different results.&lt;br /&gt;
+/24: [[17edo|17et]] 13.028
-&lt;br /&gt;
-By tempering a JI scale using N-edo found on the list below we automatically temper it to the corresponding temperament. This can be done in &lt;a class="wiki_link_ext" href="http://www.huygens-fokker.org/scala/" rel="nofollow"&gt;Scala&lt;/a&gt; using the Quantize command: either type in &amp;quot;Quantize/consistent N&amp;quot; on the bottom, or use the pull-down menu under &amp;quot;Modify&amp;quot;, check the box saying &amp;quot;Consistent&amp;quot; and type N (without a decimal point) into &amp;quot;Resolution&amp;quot;.&lt;br /&gt;
+/243: [[22edo|22et]] 30.778
-&lt;br /&gt;
-To limit the search range when finding the optimal patent val a useful observation is this: given N-edo, and an odd prime q &amp;lt;= p, if d is the absolute value in cents of the difference between the tuning of q given by the &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE tuning&lt;/a&gt; and the POTE tuning rounded to the nearest N-edo value, then d &amp;lt; 600/N, from which it follows that N &amp;lt; 600/d. Likewise, if e is the absolute value of the error of q in the patent val tuning, then e &amp;lt; 600/N and so N &amp;lt; 600/e. If N-edo defines an optimal patent val, then the patent val will be identical to the val obtained by rounding the POTE tuning to the nearest N-edo value. We have two distances from the patent val, one to the POTE tuning and one to the the JI tuning, both bounded by 600/N, and so by the triangle inequality the distance from the JI tuning to the POTE tuning, which is the error of the prime q in the POTE tuning, is bounded by 1200/N. Hence, N &amp;lt; 1200/error(q). If now we take the minimum value for 1200/error(prime) for all the odd primes up to p, we obtain an upper bound for N.&lt;br /&gt;
+/128: [[23edo|23et]] 39.556
-&lt;br /&gt;
-Below are tabulated some values.&lt;br /&gt;
+/125: [[39edo|39et]] 22.315
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-5-limit rank two"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;5-limit rank two&lt;/h2&gt;
+/3072: [[60edo|60et]] 39.163
-/25: &lt;a class="wiki_link" href="/14edo"&gt;14edo&lt;/a&gt;&lt;br /&gt;
-/15: &lt;a class="wiki_link" href="/8edo"&gt;8edo&lt;/a&gt;&lt;br /&gt;
+/2025: [[80edo|80et]] 19.915
-/128: &lt;a class="wiki_link" href="/23edo"&gt;23edo&lt;/a&gt;&lt;br /&gt;
-/24: &lt;a class="wiki_link" href="/17edo"&gt;17edo&lt;/a&gt;&lt;br /&gt;
+/80: [[81edo|81et]] 7.381
-/625: &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;&lt;br /&gt;
-/243: &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;&lt;br /&gt;
+/19683: [[109edo|109et]] 48.518
-/125: &lt;a class="wiki_link" href="/39edo"&gt;39edo&lt;/a&gt;&lt;br /&gt;
-/3072: &lt;a class="wiki_link" href="/60edo"&gt;60edo&lt;/a&gt;&lt;br /&gt;
+/390625: [[164edo|164et]] 40.603
-/80: &lt;a class="wiki_link" href="/81edo"&gt;81edo&lt;/a&gt;&lt;br /&gt;
-/2025: &lt;a class="wiki_link" href="/80edo"&gt;80edo&lt;/a&gt;&lt;br /&gt;
+2109375/2097152: [[296edo|296et]] 40.807
-/78125: &lt;a class="wiki_link" href="/539edo"&gt;539edo&lt;/a&gt;&lt;br /&gt;
-/390625: &lt;a class="wiki_link" href="/164edo"&gt;164edo&lt;/a&gt;&lt;br /&gt;
+/15552: [[458edo|458et]] 13.234
-2109375/2097152: &lt;a class="wiki_link" href="/296edo"&gt;296edo&lt;/a&gt;&lt;br /&gt;
-/15552: &lt;a class="wiki_link" href="/458edo"&gt;458edo&lt;/a&gt;&lt;br /&gt;
+/78125: [[539edo|539et]] 35.220
-1600000/1594323: &lt;a class="wiki_link" href="/873edo"&gt;873edo&lt;/a&gt;&lt;br /&gt;
-1224440064/1220703125: &lt;a class="wiki_link" href="/1496edo"&gt;1496edo&lt;/a&gt;&lt;br /&gt;
+/32768: [[749edo|749et]] 4.259
-6115295232/6103515625: &lt;a class="wiki_link" href="/1400edo"&gt;1400edo&lt;/a&gt;&lt;br /&gt;
-/32768: &lt;a class="wiki_link" href="/749edo"&gt;749edo&lt;/a&gt;&lt;br /&gt;
+1600000/1594323: [[873edo|873et]] 21.960
-274877906944/274658203125: &lt;a class="wiki_link" href="/1559edo"&gt;1559edo&lt;/a&gt;&lt;br /&gt;
-7629394531250/7625597484987: &lt;a class="wiki_link" href="/3501edo"&gt;3501edo&lt;/a&gt;&lt;br /&gt;
+6115295232/6103515625: [[1400edo|1400et]] 31.181
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-7-limit rank two"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;7-limit rank two&lt;/h2&gt;
+1224440064/1220703125: [[1496edo|1496et]] 43.729
-&lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;Ennealimmal&lt;/a&gt;: &lt;a class="wiki_link" href="/612edo"&gt;612edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;Supermajor&lt;/a&gt;: &lt;a class="wiki_link" href="/6214edo"&gt;6214edo&lt;/a&gt;&lt;br /&gt;
+274877906944/274658203125: [[1559edo|1559et]] 20.576
-&lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;Enneadecal&lt;/a&gt;: &lt;a class="wiki_link" href="/2185edo"&gt;2185edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Schismatic%20family"&gt;Sesquiquartififths&lt;/a&gt;: &lt;a class="wiki_link" href="/1498edo"&gt;1498edo&lt;/a&gt;&lt;br /&gt;
+31381059609/31250000000: [[2760edo|2760et]] 82.423
-&lt;a class="wiki_link" href="/Breedsmic%20temperaments"&gt;Tertiaseptal&lt;/a&gt;: &lt;a class="wiki_link" href="/171edo"&gt;171edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Meantone%20family"&gt;Meantone&lt;/a&gt;: &lt;a class="wiki_link" href="/81edo"&gt;81edo&lt;/a&gt;&lt;br /&gt;
+7629394531250/7625597484987: [[3501edo|3501et]] 17.191
-&lt;a class="wiki_link" href="/Schismatic%20family"&gt;Pontiac&lt;/a&gt;: &lt;a class="wiki_link" href="/171edo"&gt;171edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Miracle&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt;&lt;br /&gt;
+=== 7-limit rank two ===
-&lt;a class="wiki_link" href="/Bug%20family"&gt;Beep&lt;/a&gt;: &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt;&lt;br /&gt;
+Name: ET w/ optimal patent val: Val name: 1000*badness
-&lt;a class="wiki_link" href="/Magic%20family"&gt;Magic&lt;/a&gt;: &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Dicot%20family"&gt;Dicot&lt;/a&gt;: &lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt;&lt;br /&gt;
+[[Father family#Pater|Pater]]: [[3edo|3et]] 3&11b 53.001
-&lt;a class="wiki_link" href="/Schismatic%20family"&gt;Term&lt;/a&gt;: &lt;a class="wiki_link" href="/1722edo"&gt;1722edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Diaschismic%20family"&gt;Pajara&lt;/a&gt;: &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;&lt;br /&gt;
+[[Dicot family#Flat|Flat]]: [[4edo|4et]] 3&4 25.381
-&lt;a class="wiki_link" href="/Wuerschmidt%20family"&gt;Hemiwuerschmidt&lt;/a&gt;: &lt;a class="wiki_link" href="/328edo"&gt;328edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Meantone%20family"&gt;Dominant&lt;/a&gt;: &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;&lt;br /&gt;
+[[Trienstonic clan|Father]]: [[5edo|5et]] 3d&5 21.312
-&lt;a class="wiki_link" href="/Semicomma%20family"&gt;Orwell&lt;/a&gt;: &lt;a class="wiki_link" href="/137edo"&gt;137edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Trienstonic%20clan"&gt;Father&lt;/a&gt;: &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt;&lt;br /&gt;
+[[Archytas clan|Mother]]: [[5edo|5et]] 2&3 24.152
-&lt;a class="wiki_link" href="/Kleismic%20family"&gt;Catakleismic&lt;/a&gt;: &lt;a class="wiki_link" href="/197edo"&gt;197edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Schismatic%20family"&gt;Garibaldi&lt;/a&gt;: &lt;a class="wiki_link" href="/94edo"&gt;94edo&lt;/a&gt;&lt;br /&gt;
+[[Meantone family|Sharptone]]: [[5edo|5et]] 5&7d 24.848
-&lt;a class="wiki_link" href="/Breedsmic%20temperaments"&gt;Hemififths&lt;/a&gt;: &lt;a class="wiki_link" href="/338edo"&gt;338edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Diminished"&gt;Diminished&lt;/a&gt;: &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;&lt;br /&gt;
+[[Father family#Baba|Baba]]: [[5edo|5et]] 1&5 44.321
-&lt;a class="wiki_link" href="/Gammic%20family"&gt;Neptune&lt;/a&gt;: &lt;a class="wiki_link" href="/1778edo"&gt;1778edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;Amity&lt;/a&gt;: &lt;a class="wiki_link" href="/350edo"&gt;350edo&lt;/a&gt;&lt;br /&gt;
+[[Father family#Quint|Quint]]: [[5edo|5et]] 5&15cd 48.312
-&lt;a class="wiki_link" href="/Archytas%20clan"&gt;Mother&lt;/a&gt;: &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Augmented%20family"&gt;Augene&lt;/a&gt;: &lt;a class="wiki_link" href="/27edo"&gt;27edo&lt;/a&gt;&lt;br /&gt;
+[[Bug family#Mite|Mite]]: [[5edo|5et]] 1cdd&5 54.770
-&lt;a class="wiki_link" href="/Meantone%20family"&gt;Sharptone&lt;/a&gt;: &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;Mitonic&lt;/a&gt;: &lt;a class="wiki_link" href="/171edo"&gt;171edo&lt;/a&gt;&lt;br /&gt;
+[[Father family#Walid|Walid]]: [[6edo|6et]] 2&6 48.978
-&lt;a class="wiki_link" href="/Starling%20temperaments"&gt;Sensi&lt;/a&gt;: &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Archytas%20clan"&gt;Blacksmith&lt;/a&gt;: &lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt;&lt;br /&gt;
+[[Dicot family|Dicot]]: [[7edo|7et]] 4&7 19.935
-&lt;a class="wiki_link" href="/Augmented%20family"&gt;August&lt;/a&gt;: &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Marvel%20temperaments"&gt;Negri&lt;/a&gt;: &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;&lt;br /&gt;
+[[Dicot family#Jamesbond|Jamesbond]]: [[7edo|7et]] 7&14c 41.714
-&lt;a class="wiki_link" href="/Meantone%20family"&gt;Godzilla&lt;/a&gt;: &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Starling%20temperaments"&gt;Myna&lt;/a&gt;: &lt;a class="wiki_link" href="/89edo"&gt;89edo&lt;/a&gt;&lt;br /&gt;
+[[Septisemi temperaments#Oxygen|Oxygen]]: [[8edo|8et]] 7d&8 59.866
-&lt;a class="wiki_link" href="/Kleismic%20family"&gt;Keemun&lt;/a&gt;: &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;Parakleismic&lt;/a&gt;: &lt;a class="wiki_link" href="/415edo"&gt;415edo&lt;/a&gt;&lt;br /&gt;
+[[Bug family|Beep]]: [[9edo|9et]] 4&5 18.638
-&lt;a class="wiki_link" href="/Dicot%20family"&gt;Decimal&lt;/a&gt;: &lt;a class="wiki_link" href="/10edo"&gt;10edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Mutt%20family"&gt;Mutt&lt;/a&gt;: &lt;a class="wiki_link" href="/171edo"&gt;171edo&lt;/a&gt;&lt;br /&gt;
+[[Mint temperaments#Progression|Progression]]: [[9edo|9et]] 9&17c 48.356
-&lt;a class="wiki_link" href="/Dicot%20family"&gt;Sharp&lt;/a&gt;: &lt;a class="wiki_link" href="/10edo"&gt;10edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Starling%20temperaments"&gt;Valentine&lt;/a&gt;: &lt;a class="wiki_link" href="/185edo"&gt;185edo&lt;/a&gt;&lt;br /&gt;
+[[Augmented family#Deflated|Deflated]]: [[9edo|9et]] 3&9 59.079
-&lt;a class="wiki_link" href="/Meantone%20family"&gt;Injera&lt;/a&gt;: &lt;a class="wiki_link" href="/38edo"&gt;38edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Archytas%20clan"&gt;Superpyth&lt;/a&gt;: &lt;a class="wiki_link" href="/49edo"&gt;49edo&lt;/a&gt;&lt;br /&gt;
+[[Septisemi temperaments#Fluorine|Fluorine]]: [[9edo|9et]] 9&20bd 55.623
-&lt;a class="wiki_link" href="/Tetracot%20family"&gt;Octacot&lt;/a&gt;: &lt;a class="wiki_link" href="/109edo"&gt;109edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Breedsmic%20temperaments"&gt;Harry&lt;/a&gt;: &lt;a class="wiki_link" href="/534edo"&gt;534edo&lt;/a&gt;&lt;br /&gt;
+[[Dicot family|Sharp]]: [[10edo|10et]] 3d&7d 28.942
-&lt;a class="wiki_link" href="/Pythagorean%20family"&gt;Compton&lt;/a&gt;: &lt;a class="wiki_link" href="/228edo"&gt;228edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Breedsmic%20temperaments"&gt;Quasiorwell&lt;/a&gt;: &lt;a class="wiki_link" href="/1111edo"&gt;1111edo&lt;/a&gt;&lt;br /&gt;
+[[Dicot family|Decimal]]: [[10edo|10et]] 4&10 28.334
-&lt;a class="wiki_link" href="/Trienstonic%20clan"&gt;Octokaidecal&lt;/a&gt;: &lt;a class="wiki_link" href="/18edo"&gt;18edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Hemimean%20clan"&gt;Misty&lt;/a&gt;: &lt;a class="wiki_link" href="/99edo"&gt;99edo&lt;/a&gt;&lt;br /&gt;
+[[Septisemi temperaments#Sodium|Sodium]]: [[11edo|11et]] 4&11 55.814
-&lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Rodan&lt;/a&gt;: &lt;a class="wiki_link" href="/128edo"&gt;128edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Meantone%20family"&gt;Mothra&lt;/a&gt;: &lt;a class="wiki_link" href="/31edo"&gt;31edo&lt;/a&gt;&lt;br /&gt;
+[[Meantone family|Dominant]]: [[12edo|12et]] 5&7 20.690
-&lt;a class="wiki_link" href="/Gamera"&gt;Gamera&lt;/a&gt;: &lt;a class="wiki_link" href="/422edo"&gt;422edo&lt;/a&gt;&lt;br /&gt;
-&lt;br /&gt;
+[[Diminished family #Septimal diminished|Diminished]]: [[12edo|12et]] 4&12 22.401
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-7-limit rank three"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;7-limit rank three&lt;/h2&gt;
-/1000: &lt;a class="wiki_link" href="/55edo"&gt;55edo&lt;/a&gt;&lt;br /&gt;
+[[Augmented family|August]]: [[12edo|12et]] 9&12 26.459
-/35: &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;&lt;br /&gt;
-/512: &lt;a class="wiki_link" href="/45edo"&gt;45edo&lt;/a&gt;&lt;br /&gt;
+[[Augmented family#Hexe|Hexe]]: [[12edo|12et]] 6&12 57.730
-/48: &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;&lt;br /&gt;
-/49: &lt;a class="wiki_link" href="/48edo"&gt;48edo&lt;/a&gt;&lt;br /&gt;
+[[Schismatic family#Schism|Schism]]: [[12edo|12et]] 12&29de 56.648
-/675: &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;&lt;br /&gt;
-/63: &lt;a class="wiki_link" href="/49edo"&gt;49edo&lt;/a&gt;&lt;br /&gt;
+[[Mint temperaments#Ripple|Ripple]]: [[12edo|12et]] 12&23 59.735
-/864: &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt;&lt;br /&gt;
-/3087: &lt;a class="wiki_link" href="/94edo"&gt;94edo&lt;/a&gt;&lt;br /&gt;
+[[Archytas clan|Blacksmith]]: [[15edo|15et]] 5&10 25.640
-/2401: &lt;a class="wiki_link" href="/137edo"&gt;137edo&lt;/a&gt;&lt;br /&gt;
-/243: &lt;a class="wiki_link" href="/283edo"&gt;283edo&lt;/a&gt;&lt;br /&gt;
+[[Trienstonic clan|Opossum]]: [[15edo|15et]] 7d&8d 40.650
-/125: &lt;a class="wiki_link" href="/185edo"&gt;185edo&lt;/a&gt;&lt;br /&gt;
-/3969: &lt;a class="wiki_link" href="/215edo"&gt;215edo&lt;/a&gt;&lt;br /&gt;
+[[Augmented family#Inflated|Inflated]]: [[15edo|15et]] 15&48bc 54.729
-/1715: &lt;a class="wiki_link" href="/111edo"&gt;111edo&lt;/a&gt;&lt;br /&gt;
-/1024: &lt;a class="wiki_link" href="/190edo"&gt;190edo&lt;/a&gt;&lt;br /&gt;
+[[Pelogic family#Armodue|Armodue]]: [[16edo|16et]] 7&9 49.038
-/224: &lt;a class="wiki_link" href="/197edo"&gt;197edo&lt;/a&gt;&lt;br /&gt;
-/19600: &lt;a class="wiki_link" href="/587edo"&gt;587edo&lt;/a&gt;&lt;br /&gt;
+[[Dicot family#Dichotic|Dichotic]]: [[17edo|17et]] 3&7 37.565
-/16807: &lt;a class="wiki_link" href="/224edo"&gt;224edo&lt;/a&gt;&lt;br /&gt;
-/10935: &lt;a class="wiki_link" href="/695edo"&gt;695edo&lt;/a&gt;&lt;br /&gt;
+[[Trienstonic clan|Octokaidecal]]: [[18edo|18et]] 10&18 36.747
-/3125: &lt;a class="wiki_link" href="/446edo"&gt;446edo&lt;/a&gt;&lt;br /&gt;
-/6125: &lt;a class="wiki_link" href="/381edo"&gt;381edo&lt;/a&gt;&lt;br /&gt;
+[[Trienstonic clan|Uncle]]: [[18edo|18et]] 5&18 72.653
-/65536: &lt;a class="wiki_link" href="/171edo"&gt;171edo&lt;/a&gt;&lt;br /&gt;
-/702464: &lt;a class="wiki_link" href="/2185edo"&gt;2185edo&lt;/a&gt;&lt;br /&gt;
+[[Marvel temperaments|Negri]]: [[19edo|19et]] 1&9 26.483
-/419904: &lt;a class="wiki_link" href="/4306edo"&gt;4306edo&lt;/a&gt;&lt;br /&gt;
-/2400: &lt;a class="wiki_link" href="/2749edo"&gt;2749edo&lt;/a&gt;&lt;br /&gt;
+[[Meantone family|Godzilla]]: [[19edo|19et]] 5&19 26.747
-/4374: &lt;a class="wiki_link" href="/8419edo"&gt;8419edo&lt;/a&gt;&lt;br /&gt;
-/250000: &lt;a class="wiki_link" href="/12555edo"&gt;12555edo&lt;/a&gt;&lt;br /&gt;
+[[Kleismic family|Keemun]]: [[19edo|19et]] 4&15 27.408
-78125000/78121827: &lt;a class="wiki_link" href="/101654edo"&gt;101654edo&lt;/a&gt;&lt;br /&gt;
-&lt;br /&gt;
+[[Trienstonic clan#Wallaby|Wallaby]]: [[19edo|19ccdd]] 2d&5c 58.468
-&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-11-limit rank two"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;11-limit rank two&lt;/h2&gt;
-&lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;Hemiennealimmal&lt;/a&gt;: &lt;a class="wiki_link" href="/1566edo"&gt;1566edo&lt;/a&gt;&lt;br /&gt;
+[[Gamelismic clan|Gorgo]]: [[21edo|21et]] 5&16 46.385
-&lt;a class="wiki_link" href="/Octoid"&gt;Octoid&lt;/a&gt;: &lt;a class="wiki_link" href="/224edo"&gt;224edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Hemiamity"&gt;Hemiamity&lt;/a&gt;: &lt;a class="wiki_link" href="/350edo"&gt;350edo&lt;/a&gt;&lt;br /&gt;
+[[Diaschismic family|Pajara]]: [[22edo|22et]] 2&10 20.033
-&lt;a class="wiki_link" href="/Mirkwai%20clan"&gt;Grendel&lt;/a&gt;: &lt;a class="wiki_link" href="/152edo"&gt;152edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Unidec&lt;/a&gt;: &lt;a class="wiki_link" href="/190edo"&gt;190edo&lt;/a&gt;&lt;br /&gt;
+[[Porcupine family#Hedgehog|Hedgehog]]: [[22edo|22et]] 14c&22 43.983
-&lt;a class="wiki_link" href="/Minorsemi"&gt;Minorsemi&lt;/a&gt;: &lt;a class="wiki_link" href="/231edo"&gt;231edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Breedsmic%20temperaments"&gt;Harry&lt;/a&gt;: &lt;a class="wiki_link" href="/202edo"&gt;202edo&lt;/a&gt;&lt;br /&gt;
+[[Jubilismic clan|Lemba]]: [[26edo|26et]] 10&16 62.208
-&lt;a class="wiki_link" href="/Marvel%20temperaments"&gt;Wizard&lt;/a&gt;: &lt;a class="wiki_link" href="/166edo"&gt;166edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Kleismic%20family"&gt;Catakleismic&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt;&lt;br /&gt;
+[[Augmented family#Augene|Augene]]: [[27edo|27et]] 3&12 24.816
-&lt;a class="wiki_link" href="/Wuerschmidt%20family"&gt;Hemiwuerschmidt&lt;/a&gt;: &lt;a class="wiki_link" href="/130edo"&gt;130edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Hemithirds&lt;/a&gt;: &lt;a class="wiki_link" href="/118edo"&gt;118edo&lt;/a&gt;&lt;br /&gt;
+[[Augmented family#Niner|Niner]]: [[27edo|27et]] 9&18 67.157
-&lt;a class="wiki_link" href="/Pythagorean%20family"&gt;Compton&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Marvel%20temperaments"&gt;Miracle&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt;&lt;br /&gt;
+[[Archytas clan|Beatles]]: [[27edo|27et]] 10&27 45.872
-&lt;a class="wiki_link" href="/Marvel%20temperaments"&gt;Slender&lt;/a&gt;: &lt;a class="wiki_link" href="/125edo"&gt;125edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Schismatic%20family"&gt;Garibaldi&lt;/a&gt;: &lt;a class="wiki_link" href="/94edo"&gt;94edo&lt;/a&gt;&lt;br /&gt;
+[[Porcupine family|Nautilus]]: [[29edo|29et]] 15&29 57.420
-&lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Rodan&lt;/a&gt;: &lt;a class="wiki_link" href="/87edo"&gt;87edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Diaschismic%20family"&gt;Diaschismic&lt;/a&gt;: &lt;a class="wiki_link" href="/58edo"&gt;58edo&lt;/a&gt;&lt;br /&gt;
+[[Meantone family|Mothra]]: [[31edo|31et]] 5&26 37.146
-&lt;a class="wiki_link" href="/Starling%20temperaments"&gt;Myna&lt;/a&gt;: &lt;a class="wiki_link" href="/89edo"&gt;89edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Starling%20temperaments"&gt;Valentine&lt;/a&gt;: &lt;a class="wiki_link" href="/77edo"&gt;77edo&lt;/a&gt;&lt;br /&gt;
+[[Meantone family|Squares]]: [[31edo|31et]] 31&45 45.993
-&lt;a class="wiki_link" href="/Magic%20family"&gt;Magic&lt;/a&gt;: &lt;a class="wiki_link" href="/104edo"&gt;104edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Marvel%20temperaments"&gt;Tritonic&lt;/a&gt;: &lt;a class="wiki_link" href="/31edo"&gt;31edo&lt;/a&gt;&lt;br /&gt;
+[[Immunity family#Septimal immunity|Immunity]]: [[34edo|34et]] 5&29 77.631
-&lt;a class="wiki_link" href="/Schismatic%20family"&gt;Schismic&lt;/a&gt;: &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Superkleismic"&gt;Superkleismic&lt;/a&gt;: &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt;&lt;br /&gt;
+[[Meantone family|Injera]]: [[38edo|38et]] 12&26 31.130
-&lt;a class="wiki_link" href="/Semicomma%20family"&gt;Orwell&lt;/a&gt;: &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Meantone%20family"&gt;Meanpop&lt;/a&gt;: &lt;a class="wiki_link" href="/81edo"&gt;81edo&lt;/a&gt;&lt;br /&gt;
+[[Augmented family|Triforce]]: [[39edo|39et]] 6&9 54.988
-&lt;a class="wiki_link" href="/Meantone%20family"&gt;Mothra&lt;/a&gt;: &lt;a class="wiki_link" href="/88edo"&gt;88edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Meantone%20family"&gt;Huyghens&lt;/a&gt;: &lt;a class="wiki_link" href="/105edo"&gt;105edo&lt;/a&gt;&lt;br /&gt;
+[[Magic family|Magic]]: [[41edo|41et]] 19&41 18.918
-&lt;a class="wiki_link" href="/Meantone%20family"&gt;Mohajira&lt;/a&gt;: &lt;a class="wiki_link" href="/31edo"&gt;31edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Jubilismic%20clan"&gt;Doublewide&lt;/a&gt;: &lt;a class="wiki_link" href="/48edo"&gt;48edo&lt;/a&gt;&lt;br /&gt;
+[[Gamelismic clan|Superkleismic]]: [[41edo|41et]] 15&26 47.932
-&lt;a class="wiki_link" href="/Diaschismic%20family"&gt;Pajara&lt;/a&gt;: &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Porcupine%20family"&gt;Porcupine&lt;/a&gt;: &lt;a class="wiki_link" href="/59edo"&gt;59edo&lt;/a&gt;&lt;br /&gt;
+[[Keemic temperaments#Quasitemp|Quasitemp]]: [[41edo|41et]] 4&37 60.269
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-11-limit rank three"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;11-limit rank three&lt;/h2&gt;
+[[Meantone family|Flattone]]: [[45edo|45et]] 7&19 38.553
-&lt;a class="wiki_link" href="/Breed%20family"&gt;Jove&lt;/a&gt;: &lt;a class="wiki_link" href="/202edo"&gt;202edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Gamelismic%20family"&gt;Portent&lt;/a&gt;: &lt;a class="wiki_link" href="/190edo"&gt;190edo&lt;/a&gt;&lt;br /&gt;
+[[Starling temperaments|Sensi]]: [[46edo|46et]] 19&27 25.622
-&lt;a class="wiki_link" href="/Didymus%20rank%20three%20family"&gt;Euterpe&lt;/a&gt;: &lt;a class="wiki_link" href="/88edo"&gt;88edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Didymus%20rank%20three%20family"&gt;Calliope&lt;/a&gt;: &lt;a class="wiki_link" href="/45edo"&gt;45edo&lt;/a&gt;&lt;br /&gt;
+[[Starling temperaments#Vines|Vines]]: [[46edo|46et]] 4&42 78.049
-&lt;a class="wiki_link" href="/Didymus%20rank%20three%20family"&gt;Clio&lt;/a&gt;: &lt;a class="wiki_link" href="/129edo"&gt;129edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Breed%20family"&gt;Freya&lt;/a&gt;: &lt;a class="wiki_link" href="/1566edo"&gt;1566edo&lt;/a&gt;&lt;br /&gt;
+[[Jubilismic clan|Doublewide]]: [[48edo|48et]] 4&18 43.462
-&lt;a class="wiki_link" href="/Marvel%20family"&gt;Unimarv&lt;/a&gt;: &lt;a class="wiki_link" href="/166edo"&gt;166edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Porwell%20family"&gt;Zeus&lt;/a&gt;: &lt;a class="wiki_link" href="/99edo"&gt;99edo&lt;/a&gt;&lt;br /&gt;
+[[Archytas clan|Superpyth]]: [[49edo|49et]] 5&17 32.318
-&lt;a class="wiki_link" href="/Mirkwai%20family"&gt;Indra&lt;/a&gt;: &lt;a class="wiki_link" href="/703edo"&gt;703edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Starling%20family"&gt;Thrush&lt;/a&gt;: &lt;a class="wiki_link" href="/89edo"&gt;89edo&lt;/a&gt;&lt;br /&gt;
+[[Archytas clan|Passion]]: [[49edo|49et]] 12&37 62.327
-&lt;a class="wiki_link" href="/Marvel%20family"&gt;Prodigy&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Marvel%20family"&gt;Minerva&lt;/a&gt;: &lt;a class="wiki_link" href="/127edo"&gt;127edo&lt;/a&gt;&lt;br /&gt;
+[[Porcupine family#Porky|Porky]]: [[51edo|51et]] 22&51 54.389
-&lt;a class="wiki_link" href="/Odin"&gt;Odin&lt;/a&gt;: &lt;a class="wiki_link" href="/7464edo"&gt;7464edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Ragisma%20family"&gt;Thor&lt;/a&gt;: &lt;a class="wiki_link" href="/2554edo"&gt;2554edo&lt;/a&gt;&lt;br /&gt;
+[[Marvel temperaments#Submajor-7-limit|Submajor]]: [[53edo|53et]] 10&33 60.533
-&lt;a class="wiki_link" href="/Breed%20family"&gt;Baldur&lt;/a&gt;: &lt;a class="wiki_link" href="/1696edo"&gt;1696edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Hades"&gt;Hades&lt;/a&gt;: &lt;a class="wiki_link" href="/578edo"&gt;578edo&lt;/a&gt;&lt;br /&gt;
+[[Meantone family|Liese]]: [[55edo|55et]] 19&55 46.706
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-13-limit rank two"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;13-limit rank two&lt;/h2&gt;
+[[Sycamore family#Sycamore|Sycamore]]: [[56edo|56et]] 18&19 62.018
-&lt;a class="wiki_link" href="/Marvel%20temperaments"&gt;Negri&lt;/a&gt;: &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/Sensis"&gt;Sensis&lt;/a&gt;: &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;&lt;br /&gt;
+[[Diaschismic family|Diaschismic]]: [[58edo|58et]] 12&34 37.914
-&lt;a class="wiki_link" href="/Meantone%20family"&gt;Huyghens&lt;/a&gt;: &lt;a class="wiki_link" href="/31edo"&gt;31edo&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+[[Porcupine family#Porcupine|Porcupine]]: [[59edo|59et]] 7&15 41.057
+[[Starling temperaments#Kumonga|Kumonga]]: [[70edo|70et]] 16&27 87.500
+[[Gamelismic clan|Miracle]]: [[72edo|72et]] 10&21 16.742
+[[Marvel temperaments|Wizard]]: [[72edo|72et]] 22&50 40.846
+[[Unicorn family|Unicorn]] [[77edo|77et]] 19&58 40.913
+[[Diaschismic family|Bidia]]: [[80edo|80et]] 12&56 56.474
+[[Orwellismic temperaments#Quartonic|Quartonic]]: [[80edo|80et]] 26&27 42.632
+[[Meantone family|Meantone]]: [[81edo|81et]] 12&19 13.707
+[[Starling temperaments|Myna]]: [[89edo|89et]] 4&27 27.044
+[[Marvel temperaments|Septimin]]: [[91edo|91et]] 9&32 54.502
+[[Ragismic microtemperaments|Sfourth]]: [[91edo|91et]] 45&46 123.291
+[[Schismatic family|Garibaldi]]: [[94edo|94et]] 12&29 21.644
+[[Hemimean clan|Misty]]: [[99edo|99et]] 12&87 36.802
+[[Starling temperaments|Nusecond]]: [[101edo|101et]] 31&101 50.389
+[[Tetracot family|Octacot]]: [[109edo|109et]] 27&41 33.845
+[[Hemimean clan|Semisept]]: [[111edo|111et]] 18&31 50.472
+[[Hemifamity temperaments|Buzzard]]: [[111edo|111et]] 5&48 47.963
+[[Schismatic family#Guiron|Guiron]]: [[118edo|118et]] 36&41 47.544
+[[Gamelismic clan|Hemithirds]]: [[118edo|118et]] 25&31 44.284
+[[Kleismic family#Hemikleismic|Hemikleismic]]: [[121edo|121et]] 15&38 52.054
+[[Mirkwai clan#Pluto|Pluto]]: [[121edo|121et]] 41&80 57.514
+[[Marvel temperaments|Tritonic]]: [[122edo|122et]] 2&29 47.578
+[[Gravity family#Gravid|Gravid]]: [[123edo|123et]] 58&123 47.283
+[[Marvel temperaments|Slender]]: [[125edo|125et]] 1&31 56.934
+[[Marvel temperaments#Merman|Merman]]: [[125edo|125et]] 2&41 55.078
+[[Gamelismic clan|Rodan]]: [[128edo|128et]] 5&41 37.112
+[[Hemimean clan#Subpental|Subpental]]: [[130edo|130et]] 19&111 54.303
+[[Sensipent family#Bison|Bison]]: [[130edo|130et]] 8&38 70.375
+[[Semicomma family|Orwell]]: [[137edo|137et]] 9&22 20.375
+[[Breedsmic temperaments#Tertiaseptal|Tertiaseptal]]: [[171edo|171et]] 31&109 12.995
+[[Breedsmic temperaments#Septidiasemi|Septidiasemi]]: [[171edo|171et]] 10&151 44.115
+[[Schismatic family|Pontiac]]: [[171edo|171et]] 53&118 14.133
+[[Schismatic family|Tsaharuk]]: [[171edo|171et]] 17&77 30.697
+[[Ragismic microtemperaments|Mitonic]]: [[171edo|171et]] 46&125 25.184
+[[Horwell temperaments#Mutt|Mutt]]: [[171edo|171et]] 3&84 28.406
+[[Horwell temperaments#Fifthplus|Fifthplus]]: [[171edo|171et]] 22&149 25.840
+[[Landscape microtemperaments#Pnict|Pnict]]: [[171edo|171et]] 15&141 45.660
+[[Wizmic microtemperaments#Tokko|Tokko]]: [[171edo|171et]] 5&166 44.417
+[[Ragismic microtemperaments#Seniority|Seniority]]: [[171edo|171et]] 26&145 44.877
+[[Starling temperaments|Valentine]]: [[185edo|185et]] 15&31 31.056
+[[Sensipent family#Sensei|Sensei]]: [[187edo|187et]] 19&84 59.218
+[[Gamelismic clan|Unidec]]: [[190edo|190et]] 26&46 38.393
+[[Kleismic family|Catakleismic]]: [[197edo|197et]] 19&53 21.501
+[[Kleismic family|Quadritikleismic]]: [[212edo|212et]] 4&68 39.231
+[[Gamelismic clan#Hemiseven|Hemiseven]]: [[221edo|221et]] 5&72 56.557
+[[Ragismic microtemperaments|Octoid]]: [[224edo|224et]] 72&152 42.670
+[[Pythagorean family|Compton]]: [[228edo|228et]] 12&60 35.686
+[[Kleismic family|Tritikleismic]]: [[231edo|231et]] 15&57 56.337
+[[Mirkwai clan|Mirkat]]: [[255edo|255et]] 72&183 59.376
+[[Breedsmic temperaments|Decoid]]: [[270edo|270et]] 10&120 33.902
+[[Ragismic microtemperaments#Acrokleismic|Acrokleismic]] [[270edo|270et]] 19&251 56.184
+[[Porwell temperaments#Septisuperfourth|Septisuperfourth]]: [[282edo|282et]] 22&86 59.241
+[[Porwell temperaments|Hemischis]]: [[313edo|313et]] 24&53 45.817
+[[Würschmidt family|Hemiwürschmidt]]: [[328edo|328et]] 6&31 20.307
+[[Breedsmic temperaments|Hemififths]]: [[338edo|338et]] 41&58 22.243
+[[Ragismic microtemperaments|Amity]]: [[350edo|350et]] 7&39 23.649
+[[Schismatic family|Bischismic]]: [[378edo|378et]] 12&118 54.744
+[[Porwell temperaments|Nessafof]]: [[381edo|381et]] 15&69 45.478
+[[Hemifamity temperaments#Septiquarter|Septiquarter]]: [[391edo|391et]] 5&94 53.760
+[[Ragismic microtemperaments|Parakleismic]]: [[415edo|415et]] 19&80 27.431
+[[Ragismic microtemperaments|Gamera]]: [[422edo|422et]] 26&73 37.648
+[[Hemimean clan#Sengagen|Sengagen]]: [[446edo|446et]] 49&50 57.978
+[[Landscape microtemperaments|Chromat]]: [[456edo|456et]] 60&99 57.499
+[[Kleismic family|Countercata]]: [[473edo|473et]] 34&53 52.128
+[[Breedsmic temperaments|Harry]]: [[534edo|534et]] 58&72 34.077
+[[Ragismic microtemperaments|Ennealimmal]]: [[612edo|612et]] 27&45 3.610
+[[Breedsmic temperaments#Quinmite|Quinmite]]: [[701edo|701et]] 4&95 37.322
+[[Ragismic microtemperaments#Semidimfourth|Semidimfourth]]: [[875edo|875et]] 91&99 55.245
+[[Breedsmic temperaments|Quasiorwell]]: [[1111edo|1111et]] 31&177 35.832
+[[Amicable]]: [[1131edo|1131et]] 99&212 45.473
+[[Vulture family#Vulture|Vulture]]: [[1133edo|1133et]] 53&164 36.985
+[[Breedsmic temperaments#Emmthird|Emmthird]] [[1255edo|1255et]] 58&113 16.736
+[[Landscape microtemperaments#Septichrome|Septichrome]] [[1308edo|1308et]] 60&111 16.814
+[[Schismatic family|Sesquiquartififths]]: [[1498edo|1498et]] 41&89 11.244
+[[Ragismic microtemperaments|Brahmagupta]]: [[1547edo|1547et]] 7&217 29.122
+[[Breedsmic temperaments#Maviloid|Maviloid]]: [[1614edo|1614et]] 76&99 57.632
+[[Breedsmic temperaments#Osiris|Osiris]]: [[1696edo|1696et]] 157&171 28.307
+[[Schismatic family|Term]]: [[1722edo|1722et]] 12&159 19.950
+[[Gammic family|Neptune]]: [[1778edo|1778et]] 35&68 23.427
+[[Ragismic microtemperaments|Abigail]]: [[1798edo|1798et]] 46&132 37.000
+[[Wizmic microtemperaments#Qak|Qak]]: [[1831edo|1831et]] 50&121 29.267
+[[Ragismic microtemperaments|Enneadecal]]: [[2185edo|2185et]] 19&152 10.954
+[[Breedsmic temperaments#Newt|Newt]]: [[2201edo|2201et]] 41&188 41.878
+[[Breedsmic temperaments#Subneutral|Subneutral]]: [[2236edo|2236et]] 31&348 45.792
+[[Ragismic microtemperaments#Orga|Orga]]: [[2482edo|2482et]] 26&244 40.236
+[[Tricot family|Trillium]]: [[4569edo|4569et]] 53&441 30.852
+[[Ragismic microtemperaments|Supermajor]]: [[6214edo|6214et]] 80&171 10.836
+[[Ragismic microtemperaments#Semidimi|Semidimi]]: [[8419edo|8419et]] 171&863 15.075
+[[Minortonic family#Domain|Domain]]: [[22038edo|22038et]] 171&1164 13.979
+=== 7-limit rank three ===
+Comma: ET w/ optimal patent val: 10^6 * badness
+/35: [[12edo|12et]] 63.675
+/48: [[19edo|19et]] 115.514
+/864: [[41edo|41et]] 212.413
+/512: [[45edo|45et]] 476.454
+/675: [[46edo|46et]] 320.094
+/49: [[48edo|48et]] 127.208
+/63: [[49edo|49et]] 98.719
+/1000: [[55edo|55et]] 678.164
+/3087: [[94edo|94et]] 613.731
+/1715: [[111edo|111et]] 187.341
+/2401: [[137edo|137et]] 518.625
+/65536: [[171edo|171et]] 172.601
+/125: [[185edo|185et]] 69.867
+/1024: [[190edo|190et]] 176.105
+/224: [[197edo|197et]] 36.517
+/3969: [[215edo|215et]] 215.550
+/16807: [[224edo|224et]] 341.931
+/243: [[283edo|283et]] 121.191
+/6125: [[381edo|381et]] 142.375
+/5103: [[391edo|391et]] 153.052
+/3125: [[446edo|446et]] 160.039
+/19600: [[587edo|587et]] 300.987
+/10935: [[695edo|695et]] 199.139
+4802000/4782969: [[1131edo|1131et]] 1121.894
+/702464: [[2185edo|2185et]] 149.828
+/2400: [[2749edo|2749et]] 15.288
+/419904: [[4306edo|4306et]] 86.449
+/4374: [[8419edo|8419et]] 11.665
+/250000: [[12555edo|12555et]] 21.301
+78125000/78121827: [[101654edo|101654et]] 20.457
+=== 11-limit rank two ===
+Name: ET w/ optimal patent val: Val name: 1000*badness
+[[Archytas clan#Fervor|Fervor]]: [[2edo|2et]] 2&27e 52.054
+[[Dicot family#Decimal|Decimated]]: [[4edo|4et]] 4&10e 31.456
+[[Starling temperaments#Myna temperament-Coleto|Coleto]]: [[4edo|4et]] 4&27e 48.687
+[[Meantone family#Godzilla-Semafour|Semafour]]: [[5edo|5et]] 5&14c 28.510
+[[Meantone family#Neutrominant|Neutrominant]]: [[7edo|7et]] 7&10c 40.240
+[[Meantone family#Dominant-Arnold|Arnold]]: [[7edo|7et]] 5&7 26.141
+[[Porcupine family#Hystrix|Hystrix]]: [[7edo|7et]] 7&15d 44.944
+[[Dicot family#Dicot|Dicot]]: [[7edo|7et]] 4e&7 19.854
+[[Dicot family#Jamesbond|Jamesbond]]: [[7edo|7et]] 7&14c 23.524
+[[Tetracot family#Modus|Modus]]: [[7edo|7et]] 7&27e 35.149
+[[Meantone family#Ptolemy|Ptolemy]]: [[7edo|7et]] 7&38d 58.785
+[[Marvel temperaments|Negric]]: [[9edo|9et]] 1&9 30.617
+[[Mint temperaments#Progression|Progression]]: [[9edo|9et]] 8d&9 26.050
+[[Pelogic family#Superpelog-11-limit|Superpelog]]: [[9edo|9et]] 9&14c 28.535
+[[Trienstonic clan#Octokaidecal|Octokaidecal]]: [[10edo|10et]] 10&18e 30.235
+[[Dicot family#Decimal|Decimal]]: [[10edo|10et]] 10&14c 26.712
+[[Dicot family#Sharp|Sharp]]: [[10edo|10et]] 10&17d 22.366
+[[Archytas clan#Beatles|Ringo]]: [[10edo|10et]] 10&17c 32.863
+[[Dicot family#Dichotic|Dichosis]]: [[10edo|10et]] 3&10 41.361
+[[Dicot family#Decimal|Decibel]]: [[10edo|10et]] 4&6 32.385
+[[Diminished family #Septimal diminished|Diminished]]: [[12edo|12et]] 4&12 22.132
+[[Diaschismic family#Pajara-Pajaric|Pajaric]]: [[12edo|12et]] 2&10 23.798
+[[Meantone family#Dominant-11-limit|Dominant]]: [[12edo|12et]] 5&12 24.180
+[[Meantone family#Dominant-Domineering|Domineering]]: [[12edo|12et]] 7&12 21.978
+[[Meantone family#Injera-Lahoh|Lahoh]]: [[12edo|12et]] 12&14ce 43.062
+[[Jubilismic clan#Duodecim|Duodecim]]: [[12edo|12et]] 12&24d 30.536
+[[Schismatic family#Schism|Schism]]: [[12edo|12et]] 12&41d 37.482
+[[Meantone family#Injera-Injerous|Injerous]]: [[12edo|12e]] 12e&14c 38.577
+[[Augmented family#Hexe-11-limit|Hexe]]: [[12edo|12et]] 6&12 38.412
+[[Mint temperaments#Ripple|Ripple]]: [[12edo|12et]] 1ce&12 38.811
+[Diminished family #Hemidim|Hemidim]]: [[12edo|12et]] 12&20b 54.965
+[[Mint temperaments#Smate|Smate]]: [[14edo|14et]] 14&17c 42.518
+[[Trienstonic clan|Opossum]]: [[15edo|15et]] 7d&8d 22.325
+[[Trienstonic clan#Kangaroo|Kangaroo]]: [[15edo|15et]] 2cde&15 43.195
+[[Augmented family#x-Augene-11-limit|Augene]]: [[15edo|15et]] 3&12 19.613
+[[Archytas clan#Progress|Progress]]: [[15edo|15et]] 2&13 31.036
+[[Kleismic family#Keemun|Darjeeling]]: [[15edo|15et]] 15&19e 27.648
+[[Archytas clan#Blacksmith|Ferrier]]: [[15edo|15et]] 5e&15 29.200
+[[Augmented family#Inflated|Inflated]]: [[15edo|15et]] 15&48bce 31.171
+[[Pelogic family#Armodue|Armodue]]: [[16edo|16et]] 7&9 27.211
+[[Pelogic family#Bipelog-11-limit|Bipelog]]: [[16edo|16et]] 2&16 35.694
+[[Dicot family#Dichotic|Dichotic]]: [[17edo|17et]] 7&10 30.680
+[[Dicot family#Sidi|Sidi]]: [[17edo|17et]] 14c&17 32.957
+[[Meantone family#Dominant-Domination|Domination]]: [[17edo|17c]] 5e&12e 36.562
+[[Marvel temperaments|Negri]]: [[19edo|19et]] 9&10 26.190
+[[Meantone family#Septimal meantone-Meanenneadecal|Meanenneadecal]]: [[19edo|19et]] 12&19 21.182
+[[Meantone family#Flattone-11-limit|Flattone]] [[19edo|19et]] 7&19 33.839
+[[Meantone family#Godzilla-11-limit|Godzilla]]: [[19edo|19et]] 14c&19 28.947
+[[Meantone family#Undevigintone|Undevigintone]]: [[19edo|19et]] 19&38d 36.387
+[[Meantone family#Septimal meantone-Meanundeci|Meanundeci]]: [[19edo|19e]] 12e&19e 31.539
+[[Meantone family#Liese-Lisa|Lisa]]: [[19edo|19et]] 2cde&19 54.829
+[[Magic family#Magic-Horcrux|Horcrux]]: [[19edo|19et]] 19&60e 39.282
+[[Magic family#Spell-11-limit|Spell]]: [[19edo|19et]] 6&19 59.791
+[[Unicorn family#Rhinoceros|Rhinoceros]]: [[19edo|19et]] 1ce&19 59.319
+[[Marvel temperaments#Triton-11-limit|Triton]]: [[19edo|19et]] 2&19 45.675
+[[Kleismic family#Keemun-Qeema|Qeema]]: [[19edo|19et]] 4e&19 40.056
+[[Kleismic family#Cataleptic|Cataleptic]]: [[19edo|19et]] 19&34d 44.335
+[[Augmented family#Oodako-11-limit|Oodako]]: [[21edo|21et]] 6&21 59.192
+[[Diaschismic family#Pajara|Pajara]]: [[22edo|22et]] 12&22 20.343
+[[Diaschismic family#Pajara|Pajarous]]: [[22edo|22et]] 10&22 28.349
+[[Magic family#Magic-Telepathy|Telepathy]]: [[22edo|22et]] 19e&22 27.109
+[[Porcupine family#Hedgehog|Hedgehog]]: [[22edo|22et]] 14c&22 23.095
+[[Porcupine family#Ceratitid|Ceratitid]]: [[22edo|22et]] 1ce&22 51.319
+[[Jubilismic clan#Vigintiduo|Vigintiduo]]: [[22edo|22et]] 22&66de 48.372
+[[Magic family#Astrology-11-limit|Astrology]]: [[22edo|22et]] 22&60de 39.151
+[[Magic family#Divination|Divination]]: [[22edo|22et]] 22&38d 35.864
+[[Jubilismic clan#Doublewide-Fleetwood|Fleetwood]]: [[22edo|22et]] 22&26e 35.202
+[[Archytas clan#Quasisuper|Quasisupra]]: [[22edo|22et]] 17c&22 32.203
+[[Comic family#Comic-11-limit|Comic]]: [[22edo|22et]] 2cde&22 45.052
+[[Diaschismic family#Pajara-Hemipaj|Hemipaj]]: [[22edo|22et]] 2&20 38.890
+[[Meantone family#Mohamaq-11-limit|Mohamaq]]: [[24edo|24et]] 17c&24 36.207
+[[Meantone family#Godzilla-Baragon|Baragon]]: [[24edo|24et]] 5&19 35.673
+[[Meantone family#Godzilla-Varan|Varan]]: [[24edo|24et]] 19e&24 39.647
+[[Augmented family#Hemiaug|Hemiaug]]: [[24edo|24et]] 24&27e 38.232
+[[Diminished family #Hemidim|Hemidim]]: [[24edo|24et]] 4e&24 56.576
+[[Diminished family #Octonion|Octonion]]: [[24edo|24et]] 24&32c 30.597
+[[Meantone family#Injera-11-limit|Injera]]: [[26edo|26et]] 12&26 23.124
+[[Jubilismic clan#Lemba-11-limit|Lemba]]: [[26edo|26et]] 10&16 41.563
+[[Avicennmic temperaments#Secund|Secund]]: [[26edo|26et]] 9&17 42.562
+[[Jubilismic clan#Crepuscular-11-limit|Crepuscular]]: [[26edo|26et]] 26&34d 40.758
+[[Orwellismic temperaments#Quartonic-Quarto|Quarto]]: [[26edo|26et]] 26&27e 41.786
+[[Meantone family#Mothra-Cynder|Cynder]]: [[26edo|26et]] 5e&26 55.706
+[[Jubilismic clan#Doublewide-Cavalier|Cavalier]]: [[26edo|26et]] 4e&26 52.899
+[[Sensipent family#Sensi-Sensa|Sensa]]: [[27edo|27et]] 19e&27 36.835
+[[Diminished family #Demolished|Demolished]]: [[28edo|28et]] 12&28 26.574
+[[Porcupine family|Nautilus]]: [[29edo|29et]] 15&29 26.023
+[[Marvel temperaments|Negril]]: [[29edo|29et]] 19&29 38.679
+[[Marvel temperaments#Negroni|Negroni]]: [[29edo|29et]] 10&29 35.296
+[[Porcupine family#Coendou|Coendou]]: [[29edo|29et]] 7&29 49.669
+[[Slendro clan#Wilsec|Wilsec]]: [[29edo|29et]] 9&20 41.886
+[[Immunity family#Immunity-Impunity|Impunity]]: [[29edo|29et]] 5e&29 55.243
+[[Immunity family#Immunity-11-limit|Immunity]]: [[29edo|29et]] 5&29 52.661
+[[Meantone family|Mohajira]]: [[31edo|31et]] 7&24 26.064
+[[Meantone family|Squares]]: [[31edo|31et]] 31&45e 21.636
+[[Meantone family#Cuboctahedra|Cuboctahedra]]: [[31edo|31et]] 31&45 56.826
+[[Meantone family#Migration|Migration]]: [[31edo|31et]] 31&100de 25.516
+[[Marvel temperaments|Tritonic]]: [[31edo|31et]] 2&29 23.659
+[[Starling temperaments|Casablanca]]: [[31edo|31et]] 31&42 67.291
+[[Starling temperaments#Myna temperament-Myno|Myno]]: [[31edo|31et]] 4&27 33.434
+[[Starling temperaments#Cypress-11-limit|Cypress]]: [[31edo|31et]] 20cde&31 42.719
+[[Gamelismic clan#Miracle|Revelation]]: [[31edo|31et]] 21&31 32.946
+[[Orwellismic temperaments#Diesic-11-limit|Diesic]]: [[31edo|31et]] 1ce&31 44.186
+[[Mint temperaments#Slurpee|Slurpee]]: [[33edo|33et]] 16&33 50.514
+[[Kleismic family|Keemun]]: [[34edo|34et]] 4&15 27.410
+[[Tetracot family#Wollemia|Wollemia]]: [[34edo|34et]] 27e&34 37.551
+[[Diaschismic family#Anguirus-11-limit|Anguirus]]: [[34edo|34et]] 10&24 49.253
+[[Magic family#Muggles-11-limit|Muggles]]: [[35edo|35et]] 16&19 48.038
+[[Greenwoodmic temperaments#Greenwood|Greenwood]]: [[35edo|35et]] 21&35 57.471
+[[Meantone family#Liese-Liesel|Liesel]]: [[36edo|36et]] 19&36 40.721
+[[Meantone family#Liese-Elisa|Elisa]]: [[36edo|36e]] 19e&36e 41.592
+[[Compton family#Catnip|Catnip]]: [[36edo|36et]] 12&24 34.478
+[[Augmented family#Niner|Niner]]: [[36edo|36et]] 9&36 34.861
+[[Archytas clan#Beatles|Beatles]]: [[37edo|37et]] 27e&37 45.639
+[[Augmented family|Triforce]]: [[39edo|39et]] 6&9 20.248
+[[Schismatic family|Andromeda]]: [[41edo|41et]] 12&29 23.556
+[[Gamelismic clan|Superkleismic]]: [[41edo|41et]] 15&26 25.659
+[[Gamelismic clan#Miracle-Hemimiracle|Hemimiracle]]: [[41edo|41et]] 20&21 59.232
+[[Tetracot family#Monkey|Monkey]]: [[41edo|41et]] 7&34 38.836
+[[Tetracot family#Bunya|Bunya]]: [[41edo|41et]] 7d&41 31.332
+[[Magic family#Hocus|Hocus]]: [[41edo|41et]] 38d&41 38.519
+[[Magic family#Witchcraft|Witchcraft]]: [[41edo|41et]] 41&60e 30.706
+[[Magic family#Trismegistus-11-limit|Trismegistus]]: [[41edo|41et]] 16&41 45.623
+[[Sensamagic clan#Salsa|Salsa]]: [[41edo|41et]] 17&24 39.444
+[[Gamelismic clan#Rodan|Varan]]: [[41edo|41et]] 41&46e 44.937
+[[Sensamagic clan#Bohpier|Bohpier]]: [[41edo|41et]] 41&49 33.949
+[[Tetracot family#Octacot|Octacot]]: [[41edo|41et]] 27e&41 24.078
+[[Keemic temperaments#Quasitemp|Quato]]: [[41edo|41et]] 4e&41 41.170
+[[Mirkwai clan#Pluto-Plutino|Plutino]]: [[41edo|41et]] 2cde&41 57.966
+[[Augmented family#Augene|Eugene]]: [[42edo|42et]] 15&27 35.554
+[[Marvel temperaments#Amavil|Amavil]]: [[43edo|43et]] 9&43 42.649
+[[Starling temperaments#Kumonga-11-limit|Kumonga]]: [[43edo|43et]] 16&43 43.336
+[[Meantone family#Flattone-11-limit|Flattone]]: [[45edo|45et]] 7&19 33.839
+[[Starling temperaments|Sensor]]: [[46edo|46et]] 19&27 37.942
+[[Starling temperaments|Sensus]]: [[46edo|46et]] 46&73 29.486
+[[Hemifamity temperaments|Leapday]]: [[46edo|46et]] 29&46 38.624
+[[Porwell temperaments|Twothirdtonic]]: [[46edo|46et]] 9&37 40.768
+[[Gamelismic clan#Rodan-Aerodino|Aerodino]]: [[46edo|46et]] 5e&46 54.294
+[[Amity family#Bamity|Bamity]]: [[46edo|46et]] 14c&46 35.504
+[[Ragismic microtemperaments#Amity-Accord-11-limit|Accord]]: [[46edo|46et]] 7d&46 42.468
+[[Starling temperaments#Vines-11-limit|Vines]]: [[46edo|46et]] 4&42 44.499
+[[Jubilismic clan|Doublewide]]: [[48edo|48et]] 4&18 32.058
+[[Archytas clan|Superpyth]]: [[49edo|49et]] 22&49 24.976
+[[Archytas clan#Passion|Passion]]: [[49edo|49et]] 12&37 40.809
+[[Kleismic family#Catalan-11-limit|Catalan]]: [[49edo|49et]] 15&49 36.894
+[[Meantone family#Septimal meantone-Bimeantone|Bimeantone]]: [[50edo|50et]] 12&50 38.122
+[[Porcupine family#Porky|Porky]]: [[51edo|51et]] 22&51 27.268
+[[Semicomma family|Orwell]]: [[53edo|53et]] 9&22 15.231
+[[Hemifamity temperaments#Tricot|Tricot]]: [[53edo|53et]] 53&70 56.134
+[[Kleismic family#Cataclysmic|Cataclysmic]]: [[53edo|53et]] 53&140d 39.954
+[[Amity family#Hamity|Hamity]]: [[53edo|53et]] 14c&53 42.947
+[[Kleismic family#Kleiboh-11-limit|Kleiboh]]: [[53edo|53et]] 49&53 52.805
+[[Maja family#Maja-11-limit|Maja]]: [[53edo|53et]] 45e&53 49.991
+[[Schismatic family#Garibaldi-Helenus|Helenus]]: [[53edo|53et]] 12&53 35.637
+[[Schismatic family#Hemigari|Hemigari]]: [[53edo|53et]] 29&53 50.681
+[[Orwellismic temperaments#Quartonic-Quartz|Quartz]]: [[53edo|53et]] 26&53 53.285
+[[Sycamore family#Sycamore|Sycamore]]: [[56edo|56et]] 18&19 55.940
+[[Diaschismic family|Diaschismic]]: [[58edo|58et]] 12&46 25.034
+[[Breedsmic temperaments|Hemififths]]: [[58edo|58et]] 41&58 23.498
+[[Starling temperaments#Thuja-11-limit|Thuja]]: [[58edo|58et]] 15&43 33.078
+[[Unicorn family#Alicorn|Alicorn]]: [[58edo|58et]] 19&58 39.156
+[[Orwellismic temperaments#Secant-11-limit|Secant]]: [[58edo|58et]] 26&58 46.373
+[[Orwellismic temperaments#Infraorwell-11-limit|Infraorwell]]: [[58edo|58et]] 9&49 40.721
+[[Diaschismic family#Sruti|Sruti]]: [[58edo|58et]] 24&58 41.459
+[[Unicorn family#Qilin|Qilin]]: [[58edo|58et]] 58&77 41.426
+[[Breedsmic temperaments#Gorgik|Gorgik]]: [[58edo|58et]] 21&37 59.260
+[[Porcupine family|Porcupine]]: [[59edo|59et]] 7&15 21.562
+[[Würschmidt family#Worschmidt|Worschmidt]]: [[65edo|65et]] 31&65 33.436
+[[Sensipent family#Hemisensi|Hemisensi]]: [[65edo|65et]] 27e&65 48.714
+[[Porcupine family#Ammonite|Ammonite]]: [[66edo|66et]] 29&37 45.694
+[[Kleismic family#Hemikleismic|Hemikleismic]]: [[68edo|68et]] 15&38 38.023
+[[Gamelismic clan|Miracle]]: [[72edo|72et]] 10&31 10.684
+[[Kleismic family|Catakleismic]]: [[72edo|72et]] 19&53 21.849
+[[Pythagorean family|Compton]]: [[72edo|72et]] 12&72 22.235
+[[Pythagorean family#Hours|Hours]]: [[72edo|72et]] 24&48 36.248
+[[Kleismic family#Bikleismic|Bikleismic]]: [[72edo|72et]] 72&106 29.319
+[[Ragismic microtemperaments#Ennealimmal-Ennealimnic|Ennealimnic]]: [[72edo|72et]] 27e&72 20.697
+[[Ragismic microtemperaments#Ennealimmal-Ennealiminal|Ennealiminal]]: [[72edo|72et]] 27&45 31.123
+[[Marvel temperaments#Marvolo|Marvolo]]: [[72edo|72et]] 29&43 28.965
+[[Kleismic family#Catalytic|Catalytic]]: [[72edo|72et]] 53e&72 30.422
+[[Marvel temperaments#Enneaportent|Enneaportent]]: [[72edo|72et]] 9&54 30.426
+[[Starling temperaments#Casablanca temperament-Marrakesh|Marrakesh]]: [[73edo|73et]] 31&73 40.539
+[[Starling temperaments|Valentine]]: [[77edo|77et]] 15&31 16.687
+[[Unicorn family#Alicorn|Camahueto]] [[77edo|77et]] 19&77 65.940
+[[Diaschismic family|Keen]]: [[78edo|78et]] 22&56 45.270
+[[Orwellismic temperaments#Sentinel-11-limit|Sentinel]]: [[79edo|79et]] 14&17 39.595
+[[Diaschismic family|Echidna]]: [[80edo|80et]] 22&58 25.987
+[[Ragismic microtemperaments#Parakleismic-Paradigmic|Paradigmic]]: [[80edo|80et]] 19&80 41.720
+[[Diaschismic family|Bidia]]: [[80edo|80et]] 12&68 40.191
+[[Orwellismic temperaments#Quartonic-11-limit|Quartonic]]: [[80edo|80et]] 53&80 34.031
+[[Meantone family|Meanpop]]: [[81edo|81et]] 19&31 21.543
+[[Semicomma family#Newspeak|Newspeak]]: [[81edo|81et]] 31&84 31.438
+[[Marvel temperaments#Merman-11-limit|Merman]]: [[84edo|84et]] 2&41 36.383
+[[Gamelismic clan|Rodan]]: [[87edo|87et]] 5&41 23.093
+[[Kleismic family#Clyde|Clyde]]: [[87edo|87et]] 19&68 47.41686
+[[Misty family#Misty|Misty]]: [[87edo|87et]] 12&87 35.932
+[[Hemimean clan#Emka-11-limit|Emka]]: [[87edo|87et]] 37&50 54.744
+[[Meantone family|Mothra]]: [[88edo|88et]] 5&26 25.642
+[[Starling temperaments|Myna]]: [[89edo|89et]] 31&58 16.842
+[[Starling temperaments#Amigo-11-limit|Amigo]]: [[89edo|89et]] 43&46 43.438
+[[Marvel temperaments|Septimin]]: [[91edo|91et]] 9&32 31.309
+[[31st-octave temperaments #Prajapati|Prajapati]]: [[93edo|93et]] 31&93 42.959
+[[Schismatic family|Cassandra]]: [[94edo|94et]] 41&53 27.396
+[[Schismatic family#Sanjaab|Sanjaab]]: [[94edo|94et]] 29&94 58.040
+[[Sensamagic clan#Magus|Magus]]: [[95edo|95et]] 46&95 45.108
+[[Marvel temperaments#Submajor-Interpental|Interpental]]: [[96edo|96et]] 43&53 51.806
+[[Ragismic microtemperaments|Hitchcock]]: [[99edo|99et]] 7&39 35.187
+[[Würschmidt family#Hemiwürschmidt|Hemiwur]]: [[99edo|99et]] 6&31 29.270
+[[Porwell temperaments#Hendecatonic|Hendecatonic]]: [[99edo|99et]] 22&55 46.088
+[[Starling temperaments|Nusecond]]: [[101edo|101et]] 31&101 25.621
+[[Magic family|Magic]]: [[104edo|104et]] 19&22 25.621
+[[Meantone family|Meantone]]: [[105edo|105et]] 12&31 17.027
+[[Starling temperaments#Bisemidim-11-limit|Bisemidim]]: [[108edo|108et]] 50&58 41.190
+[[Leapweek]]: [[109edo|109et]] 17&46 50.679
+[[Hemifamity temperaments|Buzzard]]: [[111edo|111et]] 53&58 34.484
+[[Diaschismic family|Shrutar]]: [[114edo|114et]] 22&46 26.489
+[[Marvel temperaments#Submajor-11-limit|Submajor]]: [[116edo|116et]] 10&53 50.582
+[[Gamelismic clan|Hemithirds]]: [[118edo|118et]] 31&87 19.003
+[[Ragismic microtemperaments|Parakleismic]]: [[118edo|118et]] 19&99 49.711
+[[Keemic temperaments#Quasitemp|Quasitemp]]: [[119edo|119et]] 4&37 43.209
+[[Mirkwai clan#Pluto|Pluto]]: [[121edo|121et]] 41&80 29.844
+[[Hemimage temperaments#Subfourth-11-limit|Subfourth]]: [[121edo|121et]] 58&121 45.323
+[[Marvel temperaments|Tritoni]]: [[122edo|122et]] 31&91 45.456
+[[Marvel temperaments|Slender]]: [[125edo|125et]] 31&63 25.342
+[[Diaschismic family#Srutal-11-limit|Srutal]]: [[126edo|126et]] 46&80 35.315
+[[Würschmidt family#Würschmidt|Würschmidt]]: [[127edo|127et]] 31&96 24.413
+[[Meantone family#Mothra-Mosura|Mosura]]: [[129edo|129et]] 31&129 31.334
+[[Würschmidt family|Hemiwürschmidt]]: [[130edo|130et]] 31&130 21.069
+[[Schismatic family#Sesquiquartififths|Sesquart]]: [[130edo|130et]] 41&89 29.306
+[[11-limit_comma temperaments#Bosonic|Bosonic]]: [[130edo|130et]] 26&130 65.219
+[[Maquila family|Hemimaquila]]: [[130edo|130et]] 9&121 47.440
+[[Semicomma family#Borwell|Borwell]]: [[137edo|137et]] 31&106 38.377
+[[Breedsmic temperaments#Tertiaseptal|Tertia]]: [[140edo|140et]] 31&109 30.171
+[[Breedsmic temperaments#Fibo|Fibo]]: [[140edo|140et]] 37&103 56.514
+[[Hemifamity temperaments#Ketchup-11-limit|Ketchup]]: [[140edo|140et]] 46&94 39.555
+[[Hemifamity temperaments|Mystery]]: [[145edo|145et]] 29&58 34.291
+[[Diaschismic family|Echidnic]]: [[148edo|148et]] 10&46 45.127
+[[Sensipent family|Heinz]]: [[149edo|149et]] 46&103 42.412
+[[Gamelismic clan#Hemiseven|Hemiseven]]: [[149edo|149et]] 5&72 28.467
+[[Mirkwai clan|Grendel]]: [[152edo|152et]] 31&121 19.845
+[[Mirkwai clan|Kwai]]: [[152edo|152et]] 41&111 26.219
+[[Hemifamity temperaments#Supers|Supers]]: [[152edo|152et]] 58&94 28.240
+[[Ragismic microtemperaments#Amity-11-limit|Amity]]: [[152edo|152et]] 53&152 31.506
+[[Porwell temperaments#Whoops|Whoops]]: [[152edo|152et]] 15&137 43.743
+[[Unicorn family#Alicorn|Monocerus]]: [[154edo|154et]] 58&154 52.757
+[[Schismatic family|Guiron]]: [[159edo|159et]] 41&77 26.648
+[[Breedsmic temperaments#Mintone|Mintone]]: [[161edo|161et]] 58&103 39.962
+[[Marvel temperaments|Wizard]]: [[166edo|166et]] 22&50 18.539
+[[Porwell temperaments#Polypyth|Polypyth]]: [[167edo|167et]] 46&121 51.131
+[[Ragismic microtemperaments#Parakleismic-Parkleismic|Parkleismic]]: [[179edo|179et]] 80&179 55.844
+[[Gamelismic clan|Unidec]]: [[190edo|190et]] 26&46 15.479
+[[Semicomma family#Triwell-11-limit|Triwell]]: [[190edo|190et]] 31&97 29.807
+[[Gamelismic clan#Widefourth-11-limit|Widefourth]]: [[190edo|190et]] 16&71 40.785
+[[Breedsmic temperaments#Semihemi|Semihemi]]: [[198edo|198et]] 58&140 42.487
+[[Breedsmic temperaments|Harry]]: [[202edo|202et]] 58&72 15.867
+[[Breedsmic temperaments|Tertiaseptal]]: [[202edo|202et]] 31&171 35.576
+[[Cataharry temperaments#Swetneus|Swetneus]]: [[207edo|207et]] 58&149 55.163
+[[Kleismic family#Metakleismic|Metakleismic]]: [[208edo|208et]] 87&121 48.570
+[[Marvel temperaments#Marvo|Marvo]]: [[209edo|209et]] 72&137 26.882
+[[Schismatic family#Kleischismic|Kleischismic]]: [[212edo|212et]] 24&94 36.749
+[[Octagar temperaments#Slithy-11-limit|Slithy]]: [[215edo|215et]] 94&121 45.895
+[[Hemimean clan#Arch|Arch]]: [[217edo|217et]] 43&87 36.541
+[[Ragismic microtemperaments|Octoid]]: [[224edo|224et]] 72&152 14.097
+[[Schismatic family#Quanharuk|Quanharuk]]: [[224edo|224et]] 41&142 31.549
+[[Kleismic family|Countercata]]: [[227edo|227et]] 34&53 39.770
+[[Kleismic family|Tritikleismic]]: [[231edo|231et]] 15&57 19.333
+[[Hemimean clan#Subpental|Subpental]]: [[241edo|241et]] 19&111 45.352
+[[Ragismic microtemperaments#Ennealimmal|Ennealimnic]]: [[243edo|243et]] 72&171 20.347
+[[Schismatic family|Bischismic]]: [[248edo|248et]] 12&118 28.160
+[[31st-octave temperaments #Birds|Birds]]: [[248edo|248et]] 31&217 39.921
+[[Quince clan#Essence|Essence]]: [[248edo|248et]] 58&190 46.447
+[[Mirkwai clan|Mirkat]]: [[255edo|255et]] 72&183 22.126
+[[Kleismic family|Sqrtphi]]: [[265edo|265et]] 49&72 25.515
+[[Breedsmic temperaments|Quasiorwell]]: [[270edo|270et]] 31&208 17.540
+[[Ragismic microtemperaments#Acrokleismic-Counteracro|Counteracro]]: [[270edo|270et]] 270&1061e 42.572
+[[Marvel temperaments|Marvo]]: [[281edo|281et]] 72&281 31.685
+[[Porwell temperaments#Septisuperfourth|Septisuperfourth]]: [[282edo|282et]] 22&86 24.619
+[[Sensamagic clan|Sensa]]: [[283edo|283et]] 22&65 35.844
+[[Kleismic family|Quadritikleismic]]: [[284edo|284et]] 4&68 23.406
+[[Ragismic microtemperaments#Quincy|Quincy]]: [[289edo|289et]] 72&217 30.875
+[[Hemimage temperaments#Commatic|Commatic]]: [[294edo|294et]] 58&118 30.461
+[[Breedsmic temperaments#Neominor|Neominor]]: [[305edo|305et]] 72&161 27.958
+[[Sensipent family#Bison-11-limit|Bison]]: [[306edo|306et]] 46&84 37.132
+[[Breedsmic temperaments#Unthirds|Unthirds]]: [[311edo|311et]] 72&167 22.926
+[[Porwell temperaments|Hemischis]]: [[313edo|313et]] 53&130 36.289
+[[Ragismic microtemperaments#Semiparakleismic|Semiparakleismic]]: [[316edo|316et]] 80&118 34.208
+[[Werckismic temperaments#Octowerck|Octowerck]]: [[320edo|320et]] 72&176 30.159
+[[Pental family|Decal]]: [[320edo|320et]] 130&190 40.633
+[[Breedsmic temperaments#Hemitert|Hemitert]]: [[342edo|342et]] 31&280 15.633
+[[Ragismic microtemperaments|Hemiamity]]: [[350edo|350et]] 46&106 31.307
+[[Stearnsmic clan #Stearnscape|Stearnscape]]: [[354edo|354et]] 72&282 32.096
+[[Hemimage temperaments#Degrees|Degrees]]: [[360edo|360et]] 80&140 46.770
+[[Breedsmic temperaments#Catafourth|Catafourth]]: [[363edo|363et]] 103&130 36.785
+[[Ragismic microtemperaments#Neusec-13-limit|Neusec]]: [[388edo|388et]] 190&388 59.127
+[[Hemifamity temperaments#Alphaquarter|Alphaquarter]]: [[391edo|391et]] 87&152 29.638
+[[Kleismic family#Novemkleismic|Novemkleismic]]: [[405edo|405et]] 72&261 51.730
+[[Mirkwai clan#Subsemifourth|Subsemifourth]]: [[407edo|407et]] 49&103 34.276
+[[Ragismic microtemperaments|Semiennealimmal]]: [[441edo|441et]] 72&441 34.196
+[[Horwell temperaments#Emkay|Emkay]]: [[535edo|535et]] 87&137 35.586
+[[Schismatic family#Pogo|Pogo]]: [[578edo|578et]] 36&94 31.857
+[[Ragismic microtemperaments#Quatracot-11-limit|Quatracot]]: [[638edo|638et]] 190&224 41.043
+[[Ragismic microtemperaments#Gamera-Hemigamera|Hemigamera]]: [[646edo|646et]] 26&198 40.955
+[[Ragismic microtemperaments#Brahmagupta|Brahmagupta]]: [[665edo|665et]] 7&217 52.190
+[[Mirkwai clan#Eris|Eris]]: [[703edo|703et]] 31&193 27.621
+[[Ragismic microtemperaments|Abigail]]: [[764edo|764et]] 46&132 12.860
+[[Landscape microtemperaments#Sextile|Sextile]]: [[1092edo|1092et]] 12&270 29.677
+[[Ragismic microtemperaments#Orga-11-limit|Orga]]: [[1106edo|1106et]] 26&244 16.188
+[[Schismatic family#Octant-11-limit|Octant]]: [[1168edo|1168et]] 24&224 44.778
+[[Breedsmic temperaments|Decoid]]: [[1210edo|1210et]] 130&270 18.735
+[[Ragismic microtemperaments|Deca]]: [[1270edo|1270et]] 80&190 24.329
+[[Ragismic microtemperaments#Ennealimmal-Trinealimmal|Trinealimmal]]: [[1323edo|1323et]] 27&243 29.812
+[[Tricot family#Trillium|Trillium]]: [[1429edo|1429et]] 53&441 46.758
+[[Ragismic microtemperaments#Quasithird-11-limit|Quasithird]]: [[1448edo|1448et]] 164&224 21.125
+[[Schismatic family#Sesquiquartififths-Bisesqui|Bisesqui]]: [[1498edo|1498et]] 130&212 16.968
+[[Vishnuzmic family#Vishnu|Vishnu]]: [[1502edo|1502et]] 118&152 14.180
+[[Ragismic microtemperaments|Hemiennealimmal]]: [[1566edo|1566et]] 72&198 6.283
+[[Ragismic microtemperaments#Acrokleismic-11-limit|Acrokleismic]]: [[1639edo|1639et]] 19&251 36.878
+[[Ragismic microtemperaments#Ennealimmal-Quadraennealimmal|Quadraennealimmal]]: [[1737edo|1737et]] 342&1053 21.320
+[[Breedsmic temperaments#Newt|Newt]]: [[1972edo|1972et]] 41&188 19.461
+[[Ragismic microtemperaments#Supermajor-Semisupermajor|Semisupermajor]]: [[2554edo|2554et]] 80&342 12.773
+=== 11-limit rank three ===
+Name: ET w/ optimal patent val: Val name: 10^5 * badness
+[[Archytas family #Vulcan|Vulcan]]: [[15edo|15et]] 2&3&10 57.7113
+[[Marvel family #Potassium|Potassium]]: [[19edo|19et]] 2&9&10 46.3665
+[[Jubilismic family #Festival|Festival]]: [[26edo|26et]] 2&10&26 68.8510
+[[Mint family #Nickel|Nickel]]: [[28edo|28et]] 7&9&12 46.3463
+[[Starling family #Thrasher|Thrasher]]: [[34edo|34et]] 3&4&12 48.0188
+[[Semaphore family #Selenium|Selenium]]: [[34edo|34et]] 4&5&10 66.5377
+[[Didymus rank three family #Calliope|Calliope]]: [[45edo|45et]] 7&12&19 52.9778
+[[Jubilismic family #Jubilee|Jubilee]]: [[48edo|48et]] 4&12&22 55.9842
+[[Archytas family #Ares|Ares]]: [[49edo|49et]] 3&7&12 46.8874
+[[Porcupine rank three family #Sonic|Sonic]]: [[51edo|51et]] 7&15&51 52.3158
+[[Nuwell family #Big Brother|Big Brother]]: [[53edo|53et]] 9&22&70 50.6556
+[[Orwellismic family #Orwellian|Orwellian]]: [[53edo|53et]] 4&5&17 71.513
+[[Marvel family #Prodigy|Prodigy]]: [[72edo|72et]] 2&10&29 33.4745
+[[Rastmic temperaments #Mirwomo|Mirwomo]]: [[72edo|72et]] 7&10&24 64.0943
+[[Gamelismic family #Gamel|Gamel]]: [[72edo|72et]] 5e&31&72 85.266
+[[Starling family #Oxpecker|Oxpecker]]: [[77edo|77et]] 8d&15&31 69.945
+[[Starling family #Undecimal starling|Starling]]: [[77edo|77et]] 4&15&27 67.680
+[[Didymus rank three family #Erato|Erato]]: [[81edo|81et]] 12&19&31 55.7521
+[[Sensamagic family #Sensawer|Sensawer]]: [[87edo|87et]] 41&46&73 79.632
+[[Didymus rank three family #Euterpe|Euterpe]]: [[88edo|88et]] 5&12&26 53.5809
+[[Starling family #Thrush|Thrush]]: [[89edo|89et]] 3&12&31 35.2591
+[[Starling family #Aplonis|Aplonis]]: [[89edo|89et]] 19&31&58 64.7511
+[[Valinorismic temperaments #Mandos|Mandos]]: [[89edo|89et]] 7&24&58 75.1090
+[[Marvel family #Malcolm|Malcolm]]: [[94edo|94et]] 19e&41&53 124.957
+[[Sensamagic family #Shrusus|Shrusus]]: [[95edo|95et]] 22&46&95 87.6795
+[[Porwell family #Zeus|Zeus]]: [[99edo|99et]] 6&7&9 39.9882
+[[Marvel family #Apollo|Apollo]]: [[104edo|104et]] 12&19&22 52.9766
+[[Keemic family #Supermagic|Supermagic]]: [[104edo|104et]] 4&7&15 64.0789
+[[Keemic family #Supernatural|Supernatural]]: [[104edo|104et]] 19&22&82e 88.8164
+[[Sensamagic family #Octarod|Octarod]]: [[104edo|104et]] 19&22&49 58.0664
+[[Orwellismic family #Guanyin|Guanyin]]: [[111edo|111et]] 9&22&58 41.1252
+[[Valinorismic temperaments #Manwe|Manwe]]: [[111edo|111et]] 15&31&80 67.9150
+[[Sensamagic family #Bisector|Bisector ]]: [[114edo|114et]] 14c&22&46 108.9026
+[[Horwell family #Zelda|Zelda]]: [[118edo|118et]]: 9&22&87 64.1882
+[[Rastmic temperaments #Parahemif|Parahemif]]: [[123edo|123et]] 17&24&58 134.547
+[[Valinorismic temperaments #Varda|Varda]]: [[126edo|126et]] 12&22&46 72.8125
+[[Marvel family #Minerva|Minerva]]: [[127edo|127et]] 1&9&12 38.1064
+[[Didymus rank three family|Clio]]: [[129edo|129et]] 7&12&24 73.7590
+[[Hemifamity family #Pele|Pele]]: [[145edo|145et]] 5&12&29 64.8199
+[[Hemifamity family #Laka|Laka]]: [[152edo|152et]] 41&53&58 82.5317
+[[Marvel family #Marvel|Marvel]]: [[166edo|166et]] 9&10&22 25.5033
+[[Marvel family #Fantastic|Fantastic]]: [[166edo|166et]] 12&22&50 74.3439
+[[Gamelismic family #Portent|Portent]]: [[190edo|190et]] 5&10&26 23.4092
+[[Ragisma family #Beyla|Beyla]]: [[190edo|190et]] 7&19&46 72.097
+[[Breed family #Jove|Jove]]: [[202edo|202et]] 10&31&58 24.1055
+[[Pentacircle temperaments #Tolerant|Tolerant]]: [[208edo|208et]] 5&41&80 103.923
+[[Hemimean family #Belobog|Belobog]]: [[248edo|248et]] 12&31&87 60.9402
+[[Marvel family #Spectacle|Spectacle]]: [[281edo|281et]] 10&31&281 49.8669
+[[Porwell family #Jupiter|Jupiter]]: [[282edo|282et]] 9&22&108 56.2368
+[[Sensamagic family #Unidecimal sensamagic|Sensamagic]]: [[283edo|283et]] 5&17&19 72.231
+[[Breed family #Agni|Agni]]: [[284edo|284et]] 4&6&27 49.3790
+[[Kleismic rank three family #Enlil|Enlil]]: [[284edo|284et]] 4&15&38 79.8062
+[[Werckismic temperaments #Trimyna|Trimyna]]: [[294edo|294et]] 2&29&58 81.4047
+[[Hemimean family #Triglav|Triglav]]: [[316edo|316et]] 31&80&87 81.896
+[[Werckismic temperaments #Varuna|Varuna]]: [[320edo|320et]] 12&26&46 41.8714
+[[Porwell family #Hera|Hera]]: [[359edo|359et]] 46&53&84 223.1795
+[[Canou family #Semicanou|Semicanou]]: [[410edo|410et]] 24&80&94 219.7478
+[[Porwell family #Semiporwell|Semiporwell]]: [[480edo|480et]] 22&24&84 125.3053
+[[Werckismic temperaments #History|History]]: [[491edo|491et]] 15&29&43 60.3636
+[[Swetismic temperaments #Hades|Hades]]: [[578edo|578et]] 22&50&58 36.1398
+[[Cataharry family #Albus|Albus]]: [[640edo|640et]] 19&53&58 62.1100
+[[Mirkwai family #Indra|Indra]]: [[703edo|703et]] 10&31&152 26.6020
+[[Lehmerismic temperaments #Hanuman|Hanuman]]: [[998edo|998et]] 15&57&152 49.965
+[[Kalismic temperaments #Loki|Loki]]: [[1092edo|1092et]] 12&22&86 49.2550
+[[Lehmerismic temperaments #Ganesha|Ganesha]]: [[1502edo|1502et]] 31&87&152 39.0462
+[[Breed family #Freya|Freya]]: [[1566edo|1566et]] 10&31&167 16.9702
+[[Lehmerismic temperaments #Tyr|Tyr]]: [[1566edo|1566et]] 15&57&183 25.8374
+[[Breed family #Baldur|Baldur]]: [[1696edo|1696et]] 4&58&72 16.6115
+[[Lehmerismic temperaments #Skadi|Skadi]]: [[2014edo|2014et]] 31&97&121 34.8944
+[[Ragisma family #Thor|Thor]]: [[2554edo|2554et]] 26&46&152 8.8834
+[[Lehmerismic temperaments #Lux|Lux]]: [[2603edo|2603et]] 41&46&137 50.834
+[[Breed family #Ennealimmic|Ennealimmic]]: [[2619edo|2619et]] 27&45&171 27.4685
+[[Lehmerismic temperaments #Galaxy|Galaxy]]: [[2665edo|2665et]] 46&103&121 84.057
+[[Kalismic temperaments #Van Gogh|Van Gogh]]: [[6992edo|6992et]] 22&58&284 29.7565
+[[Kalismic temperaments #Odin|Odin]]: [[7464edo|7464et]] 12&42&72 11.6151
+=== 13-limit rank two ===
+Name: ET w/ optimal patent val: Val name: 1000*badness
+[[Diminished family #Septimal diminished|Diminished]]: [[4edo|4et]] 4&8d 19.509
+[[Meantone family#Neutrominant-13-limit|Neutrominant]]: [[7edo|7et]] 7&10c 27.214
+[[Tetracot family#Modus|Modus]]: [[7edo|7et]] 7&27e 23.806
+[[Meantone family#Dominant-Arnold|Arnold]]: [[7edo|7et]] 5&7 23.300
+[[Meantone family#Dominant-Dominatrix|Dominatrix]]: [[7edo|7et]] 7&12f 18.289
+[[Dicot family#Jamesbond|Jamesbond]]: [[7edo|7et]] 7&14c 23.003
+[[Dicot family#Jamesbond|Septimal]]: [[7edo|7et]] 7&14cf 22.569
+[[Meantone family#Ptolemy-13-limit|Ptolemy]]: [[7edo|7et]] 7&38df 34.316
+[[Mint temperaments|Progression]]: [[9edo|9et]] 8d&9 18.158
+[[Marvel temperaments|Negric]]: [[9edo|9et]] 1&9 20.205
+[[Bug family#Beep|Pentoid]]: [[9edo|9et]] 5&9 21.159
+[[Archytas clan#Beatles|Ringo]]: [[10edo|10et]] 10&17c 22.619
+[[Diaschismic family#Pajara-Pajaric-13-limit|Pajaric]]: [[10edo|10et]] 10&12f 20.461
+[[Diaschismic family#Pajara-Pajaro|Pajaro]]: [[10edo|10et]] 10&22f 27.355
+[[Augmented family#August|Augustus]]: [[12edo|12et]] 9&12 22.236
+[[Meantone family#Dominant-Dominion|Dominion]]: [[12edo|12et]] 5&12 27.295
+[[Augmented family#Hexe-13-limit|Hexe]]: [[12edo|12et]] 6f&12f 35.946
+[[Mint temperaments#Ripple|Ripple]]: [[12edo|12f]] 1ce&12f 31.639
+[[Mint temperaments#Smate|Smate]]: [[14edo|14et]] 14&17c 36.836
+[[Trienstonic clan|Opossum]]: [[15edo|15et]] 7d&8d 19.389
+[[Trienstonic clan#Kangaroo|Kangaroo]]: [[15edo|15et]] 2cde&15 32.653
+[[Archytas clan#Blacksmith|Blacksmith]]: [[15edo|15et]] 5&10 20.498
+[[Archytas clan#Blacksmith-Farrier-13-limit|Archytas clan]]: [[15edo|15et]] 5e&15 22.325
+[[Archytas clan#Progress|Progress]]: [[15edo|15et]] 2&15 26.214
+[[Porcupine family#Porcupine|Porcupine]]: [[15edo|15et]] 7&15 21.276
+[[Porcupine family#Nautilus|Belauensis]]: [[15edo|15et]] 14c&15 29.816
+[[Kleismic family#Keemun-13-limit-Kumbaya|Kumbaya]]: [[15edo|15et]] 4&15 31.633
+[[Kleismic family#Keemun-Darjeeling-13-limit Darjeeling|Darjeeling]]: [[15edo|15et]] 15&19e 21.445
+[[Augmented family#Augene-11-limit-13-limit|Augene]]: [[15edo|15et]] 3&15 20.785
+[[Augmented family#Augene-11-limit-Ogene|Ogene]]: [[15edo|15et]] 12&15 22.890
+[[Pelogic family#Armodue-13-limit Armodue|Armodue]]: [[16edo|16et]] 7&9 19.351
+[[Meantone family#Dominant-Domination-13-limit|Domination]]: [[17edo|17c]] 5e&12e 27.435
+[[Meantone family#Dominant-13-limit|Dominant]]: [[17edo|17c]] 12f&17c 24.108
+[[Archytas clan#Progress|Progressive]]: [[17edo|17c]] 2f&15f 32.721
+[[Marvel temperaments|Negri]]: [[19edo|19et]] 9&10 17.833
+[[Starling temperaments|Sensis]]: [[19edo|19et]] 8d&19 20.017
+[[Meantone family|Meanenneadecal]]: [[19edo|19et]] 12f&19 21.182
+[[Meantone family#Septimal meantone-Meanpop-Meanplop|Meanplop]]: [[19edo|19et]] 12e&19 27.666
+[[Meantone family#Godzilla-13-limit|Godzilla]]: [[19edo|19et]] 14cf&19 22.503
+[[Meantone family#Undevigintone-13-limit|Undevigintone]]: [[19edo|19et]] 19&38df 22.933
+[[Meantone family#Liese-Lisa|Lisa]]: [[19edo|19et]] 2cde&19 36.144
+[[Kleismic family#Keemun-13-limit|Keemun]]: [[19edo|19et]] 4&19 29.749
+[[Kleismic family#Keemun-Qeema-13-limit|Qeema]]: [[19edo|19et]] 4ef&19 29.419
+[[Kleismic family#Cataleptic-13-limit|Cataleptic]]: [[19edo|19et]] 19&34d 27.343
+[[Unicorn family#Rhinoceros|Rhinoceros]]: [[19edo|19et]] 1ce&19 39.343
+[[Magic family#Spell-13-limit|Spell]]: [[19edo|19et]] 6&19 45.591
+[[Magic family#Spell-Cantrip|Cantrip]]: [[19edo|19et]] 6f&19 41.603
+[[Magic family#Muggles-13-limit|Muggles]]: [[19edo|19et]] 16&19 30.386
+[[Augmented family|August]]: [[21edo|21et]] 9&21 18.448
+[[Augmented family#Oodako-13-limit|Oodako]]: [[21edo|21et]] 6&21 42.323
+[[Magic family#Magic-Telepathy-13-limit telepathy|Telepathy]]: [[22edo|22et]] 19e&22 25.522
+[[Magic family#Magic-13-limit-Sorcery|Sorcery]]: [[22edo|22et]] 19&22 25.829
+[[Magic family#Divination-13-limit|Divination]]: [[22edo|22et]] 22f&60e 34.551
+[[Semicomma family#Blair|Blair]]: [[22edo|22et]] 9&22 23.086
+[[Porcupine family#Hedgehog|Hedgehog]]: [[22edo|22et]] 14cf&22
+[[Diaschismic family#Pajara-13-limit|Pajarous]]: [[22edo|22et]] 10&22 25.176
+[[Diaschismic family#Pajara-13-limit|Pajara]]: [[22edo|22et]] 12&22 27.642
+[[Porcupine family#Porcupine|Porkpie]]: [[22edo|22et]] 7&22 26.043
+[[Porcupine family#Ceratitid|Ceratitid]]: [[22edo|22et]] 1ce&22 44.739
+[[Porcupine family#Hedgehog|Urchin]]: [[22edo|22et]] 14c&22f 25.233
+[[Jubilismic clan#Doublewide-Fleetwood-13-limit|Fleetwood]]: [[22edo|22et]] 22&84bdf 31.835
+[[Archytas clan#Superpyth|Suprapyth]]: [[22edo|22et]] 17&22 36.336
+[[Comic family#Comic-13-limit|Comic]]: [[22edo|22et]] 2cde&22 41.470
+[[Magic family#Astrology-13-limit|Astrology]]: [[22edo|22et]] 6&16 34.376
+[[Archytas clan#Quasisuper-Quasisupra-13-limit|Quasisupra]]: [[22edo|22et]] 17c&22 30.219
+[[Compton family#Catnip|Catnip]]: [[24edo|24et]] 12f&24 28.363
+[[Augmented family|Triforce]]: [[24edo|24et]] 9&15 20.248
+[[Augmented family#Hemiaug-13-limit|Hemiaug]]: [[24edo|24et]] 3de&24 30.159
+[[Diminished family #Hemidim|Hemidim]]: [[24edo|24et]] 4ef&24 39.030
+[[Diminished family #Octonion|Octonion]]: [[24edo|24et]] 24&32c 30.597
+[[Meantone family#Mohamaq-13-limit|Mohamaq]]: [[24edo|24et]] 17c&24 28.738
+[[Meantone family#Godzilla-Varan-13-limit|Varan]]: [[24edo|24et]] 19e&24 25.676
+[[Meantone family#Injera-13-limit|Injera]]: [[26edo|26et]] 26&104bcf 21.565
+[[Meantone family#Flattone-13-limit|Flattone]]: [[26edo|26et]] 7&19 22.260
+[[Jubilismic clan#Lemba-13-limit|Lemba]]: [[26edo|26et]] 10&16 25.477
+[[Jubilismic clan#Crepuscular-13-limit|Crepuscular]]: [[26edo|26et]] 26&34d 24.368
+[[Orwellismic temperaments#Quartonic-Quarto-13-limit|Quarto]]: [[26edo|26et]] 26&27e 27.692
+[[Meantone family#Mothra-Cynder-13-limit|Cynder]]: [[26edo|26et]] 5e&26 34.124
+[[Avicennmic temperaments#Secund|Secundly]]: [[26edo|26et]] 9&17 26.212
+[[Jubilismic clan#Doublewide-Cavalier-13-limit|Cavalier]]: [[26edo|26et]] 4ef&26 35.040
+[[Sensipent family#Sensi-Sensa|Sensa]]: [[27edo|27et]] 19e&27 23.258
+[[Tetracot family#Ponens|Ponens]]: [[27edo|27et]] 7&27 39.043
+[[Archytas clan#Fervor|Fervor]]: [[27edo|27e]] 2f&27e 39.705
+[[Tetracot family#Octacot|Octocat]]: [[27edo|27e]] 14cf&27e 27.601
+[[Starling temperaments#Myna temperament-Minah|Minah]]: [[27edo|27e]] 4ef&27e 27.568
+[[Avicennmic temperaments|Roman]]: [[29edo|29et]] 3&23 30.043
+[[Porcupine family#Porky|Porky]]: [[29edo|29et]] 22&29 26.543
+[[Porcupine family#Coendou|Coendou]]: [[29edo|29et]] 7&29 30.233
+[[Porcupine family|Nautilus]]: [[29edo|29et]] 15&29 22.285
+[[Marvel temperaments|Negril]]: [[29edo|29et]] 19&29 24.383
+[[Marvel temperaments#Negroni-13-limit|Negroni]]: [[29edo|29et]] 10&29 21.559
+[[Slendro clan#Wilsec|Wilsec]]: [[29edo|29et]] 9&20 25.192
+[[Immunity family#Immunity-Impunity-13-limit|Impunity]]: [[29edo|29et]] 5e&29 33.196
+[[Immunity family#Immunity-13-limit|Immunity]]: [[29edo|29et]] 5&29 37.078
+[[Trienstonic clan#Quindecic|Quindecic]]: [[30edo|30et]] 15&30 28.944
+[[Meantone family|Meantone]]: [[31edo|31et]] 12f&31 18.048
+[[Meantone family|Squares]]: [[31edo|31et]] 17c&31 25.514
+[[Meantone family#Squares-Agora|Agora]]: [[31edo|31et]] 31&76e 24.522
+[[Meantone family#Mohajira-13-limit|Mohajira]]: [[31edo|31et]] 7&24 23.388
+[[Semicomma family|Winston]]: [[31edo|31et]] 9&31 19.931
+[[Gamelismic clan#Miracle-Revelation-13-limit|Revelation]]: [[31edo|31et]] 21&31 29.452
+[[Marvel temperaments#Tritonic|Tritonic]]: [[31edo|31et]] 29&31 22.993
+[[Starling temperaments|Lupercalia]]: [[31edo|31et]] 15&31 21.328
+[[Starling temperaments#Casablanca|Murakuc]]: [[31edo|31et]] 31&73f 41.394
+[[Starling temperaments#Nusecond|Nusecond]]: [[31edo|31et]] 31&70f 23.323
+[[Starling temperaments#Cypress-13-limit|Cypress]]: [[31edo|31et]] 11cdeef&31 37.849
+[[Starling temperaments#Maneh|Maneh]]: [[31edo|31et]] 4ef&31 29.868
+[[31st-octave temperaments #Prajapati|Prajapati]]: [[31edo|31et]] 31&93f 37.885
+[[Würschmidt family#Würschmidt-13-limit|Würschmidt]]: [[31edo|31et]] 31&65d 23.593
+[[Würschmidt family#Würschmidt-Worseschmidt|Worseschmidt]]: [[31edo|31et]] 3def&31 34.382
+[[Würschmidt family#Hemiwürschmidt-11-limit-Hemithir|Hemithir]]: [[31edo|31et]] 31&68e 31.199
+[[Würschmidt family#Hemiwürschmidt-Hemiwur-Hemiwar|Hemiwar]]: [[31edo|31et]] 6f&31 44.886
+[[Orwellismic temperaments#Sentinel-13-limit|Sentinel]]: [[31edo|31et]] 14&17 37.408
+[[Orwellismic temperaments#Diesic-13-limit|Diesic]]: [[31edo|31et]] 1ce&31 38.116
+[[Hemimean clan#Semisept-11-limit-Semishly|Semishly]]: [[31edo|31et]] 31&49f 28.408
+[[Mint temperaments#Slurpee|Slurpee]]: [[33edo|33et]] 16&33 33.102
+[[Kleismic family#Keemun-13-limit-Kema|Kema]]: [[34edo|34et]] 15&19 22.749
+[[Tetracot family#Wollemia|Wollemia]]: [[34edo|34et]] 27e&34 31.219
+[[Diaschismic family#Anguirus-13-limit|Anguirus]]: [[34edo|34et]] 10&24 30.829
+[[Avicennmic temperaments#Secund|Secund]]: [[35edo|35et]] 9&35 49.684
+[[Greenwoodmic temperaments#Greenwood|Greenwood]]: [[35edo|35et]] 21&35 54.009
+[[Meantone family#Liese-13-limit|Liesel]]: [[36edo|36et]] 19&36 27.304
+[[Augmented family#Niner-13-limit|Niner]]: [[36edo|36et]] 9&36 24.143
+[[Archytas clan#Beatles|Beatles]]: [[37edo|37et]] 27e&37 30.161
+[[Meantone family#Injera-Enjera|Enjera]]: [[38edo|38et]] 12f&26f 26.542
+[[Magic family#Astrology-Horoscope|Horoscope]]: [[38edo|38et]] 16&38 35.284
+[[Gamelismic clan|Miraculous]]: [[41edo|41et]] 10&31 18.669
+[[Gamelismic clan|Superkleismic]]: [[41edo|41et]] 15&26 21.478
+[[Gamelismic clan#Rodan-Varan-13-limit|Varan]]: [[41edo|41et]] 5e&41 32.284
+[[Gamelismic clan#Miracle-Hemimiracle|Hemimiracle]]: [[41edo|41et]] 20&21 43.151
+[[Schismatic family|Andromeda]]: [[41edo|41et]] 29&41 20.749
+[[Tetracot family|Octacot]]: [[41edo|41et]] 27e&41 23.276
+[[Tetracot family#Octacot|Octopod]]: [[41edo|41et]] 14cf&41 28.326
+[[Tetracot family#Monkey|Monkey]]: [[41edo|41et]] 7&34 28.410
+[[Tetracot family#Bunya|Bunya]]: [[41edo|41et]] 7d&41 24.886
+[[Magic family|Magic]]: [[41edo|41et]] 19&41 21.509
+[[Magic family#Hocus-13-limit|Hocus]]: [[41edo|41et]] 41&79d 30.280
+[[Magic family#Witchcraft-13-limit|Witchcraft]]: [[41edo|41et]] 41&60e 23.547
+[[Magic family#Trismegistus-13-limit|Trismegistus]]: [[41edo|41et]] 16&41 33.081
+[[Sensamagic clan#Bohpier|Bohpier]]: [[41edo|41et]] 41&90ef 24.864
+[[Sensamagic clan#Salsa|Salsa]]: [[41edo|41et]] 17&24 30.793
+[[Mirkwai clan#Pluto-Plutino-13-limit|Plutino]]: [[41edo|41et]] 2cde&41 40.182
+[[Keemic temperaments#Quasitemp-Quato-13-limit|Quato]]: [[41edo|41et]] 4ef&41 30.081
+[[Octagar temperaments#Slendi|Slendi]]: [[41edo|41et]] 41&124ef 43.644
+[[Meantone family#Jerome|Jerome]]: [[43edo|43et]] 26&43 29.285
+[[Marvel temperaments#Amavil|Amavil]]: [[43edo|43et]] 9&43 25.791
+[[Meantone family#Septimal meantone-Unidecimal meantone aka Huygens-Meridetone|Meridetone]]: [[43edo|43et]] 43&117df 26.421
+[[Starling temperaments#Kumonga-13-limit|Kumonga]]: [[43edo|43et]] 16&43 28.920
+[[Jubilismic clan#Vigin|Vigin]]: [[44edo|44et]] 22&44 29.849
+[[Starling temperaments|Sensor]]: [[46edo|46et]] 19&27 25.474
+[[Starling temperaments|Sensus]]: [[46edo|46et]] 46&73 20.789
+[[Starling temperaments|Dwynwen]]: [[46edo|46et]] 15&46 23.461
+[[Hemifamity temperaments|Leapday]]: [[46edo|46et]] 29&46 24.732
+[[Porwell temperaments|Twothirdtonic]]: [[46edo|46et]] 9&37 25.941
+[[Amity family#Bamity|Bamity]]: [[46edo|46et]] 14cf&46 30.885
+[[Sensamagic clan#Magus|Magus]]: [[46edo|46et]] 3de&46 43.024
+[[Gamelismic clan#Rodan|Aerodactyl]]: [[46edo|46et]] 5&46 33.986
+[[Gamelismic clan#Rodan-Aerodino-13-limit|Aerodino]]: [[46edo|46et]] 5e&46 35.836
+[[Starling temperaments#Vines-13-limit|Vines]]: [[46edo|46et]] 4&42 29.693
+[[Archytas clan|Superpyth]]: [[49edo|49et]] 22&49 24.673
+[[Meantone family#Septimal meantone-Bimeantone-13-limit|Bimeantone]]: [[50edo|50et]] 12f&50 28.817
+[[Kleismic family#Cataclysmic|Cataclysmic]]: [[53edo|53et]] 53&140d 22.554
+[[Kleismic family#Hemikleismic|Hemikleismic]]: [[53edo|53et]] 15&53 26.005
+[[Semicomma family#Orwell-13-limit|Orwell]]: [[53edo|53et]] 22&31 19.718
+[[Semicomma family#Doublethink|Doublethink]]: [[53edo|53et]] 9&44 27.120
+[[Hemifamity temperaments#Tricot|Tricot]]: [[53edo|53et]] 53&70 32.102
+[[Amity family#Hamity|Hamity]]: [[53edo|53et]] 14cf&53 29.753
+[[Kleismic family#Kleiboh-13-limit|Kleiboh]]: [[53edo|53et]] 4ef&53 31.074
+[[Maja family#Maja-13-limit|Maja]]: [[53edo|53et]] 45ef&53 27.532
+[[Schismatic family#Garibaldi-Helenus-13-limit Helenus|Helenus]]: [[53edo|53et]] 53&118d 26.284
+[[Schismatic family#Hemigari-13-limit|Hemigari]]: [[53edo|53et]] 29&53 27.464
+[[Orwellismic temperaments#Quartonic-Quartz-13-limit|Quartz]]: [[53edo|53et]] 26&53 28.818
+[[Sycamore family#Sycamore|Sycamore]]: [[56edo|56et]] 18&19 34.295
+[[Diaschismic family|Diaschismic]]: [[58edo|58et]] 46&58 18.926
+[[Starling temperaments|Myna]]: [[58edo|58et]] 31&58 17.125
+[[Breedsmic temperaments|Hemififths]]: [[58edo|58et]] 41&58 19.090
+[[Orwellismic temperaments#Infraorwell-13-limit|Infraorwell]]: [[58edo|58et]] 9&58 23.683
+[[Starling temperaments#Thuja-13-limit|Thuja]]: [[58edo|58et]] 15&43 22.838
+[[Unicorn family#Alicorn|Alicorn]]: [[58edo|58et]] 19&58 23.667
+[[Starling temperaments#Bisemidim-13-limit|Bisemidim]]: [[58edo|58et]] 50&58 23.877
+[[Diaschismic family#Sruti|Sruti]]: [[58edo|58et]] 24&58 23.791
+[[Unicorn family#Qilin|Qilin]]: [[58edo|58et]] 58&77 22.842
+[[Breedsmic temperaments#Gorgik|Gorgik]]: [[58edo|58et]] 21&37 32.205
+[[31st-octave temperaments #Gallium|Gallium]]: [[62edo|62et]] 31&62 25.484
+[[Starling temperaments#Valentine temperament-Semivalentine|Semivalentine]]: [[62edo|62et]] 16&30 32.749
+[[Meantone family#Septimal meantone-Unidecimal meantone aka Huygens-Hemimeantone|Hemimeantone]]: [[62edo|62et]] 43&62 31.433
+[[Porcupine family|Ammonite]]: [[66edo|66et]] 29&37 27.168
+[[Würschmidt family#Hemiwürschmidt-Hemiwur-13-limit|Hemiwur]]: [[68edo|68et]] 6&31 28.432
+[[Gamelismic clan|Manna]]: [[72edo|72et]] 41&72 17.012
+[[Gamelismic clan|Hendec]]: [[72edo|72et]] 26&46 17.707
+[[Kleismic family|Catakleismic]]: [[72edo|72et]] 19&53 16.883
+[[Marvel temperaments|Lizard]]: [[72edo|72et]] 22&50 21.781
+[[Breedsmic temperaments#Neominor|Neominor]]: [[72edo|72et]] 72&161f 26.942
+[[Pythagorean family#Compton temperament|Compton]]: [[72edo|72et]] 72&228f 21.852
+[[Pythagorean family#Compton temperament|Comptone]]: [[72edo|72et]] 12&72 25.144
+[[Pythagorean family#Hours|Hours]]: [[72edo|72et]] 24&72 26.931
+[[Kleismic family#Bikleismic|Bikleismic]]: [[72edo|72et]] 72&106 21.814
+[[Marvel temperaments#Marvolo|Marvolo]]: [[72edo|72et]] 29&43 21.470
+[[Gamelismic clan#Miracle-Semimiracle|Semimiracle]]: [[72edo|72et]] 10&62 24.622
+[[Kleismic family#Catalytic-13-limit|Catalytic]]: [[72edo|72et]] 19e&72 22.337
+[[Marvel temperaments#Enneaportent-13-limit|Enneaportent]]: [[72edo|72et]] 9&54 22.322
+[[Ragismic microtemperaments#Ennealimmal-Ennealimmic-Ennealim|Ennealim]]: [[72edo|72et]] 27e&72 20.697
+[[Ragismic microtemperaments#Ennealimmal-Ennealiminal-13-limit|Ennealiminal]]: [[72edo|72et]]  27&72 30.325
+[[Starling temperaments#Casablanca|Marrakesh]]: [[73edo|73et]] 31&73 40.774
+[[Meantone family#Septimal meantone-Unidecimal meantone aka Huygens-Grosstone|Grosstone]]: [[74edo|74et]] 12&31 25.899
+[[Starling temperaments|Valentino]]: [[77edo|77et]] 31&46 20.665
+[[Unicorn family#Alicorn|Camahueto]] [[77edo|77et]] 19&77 36.155
+[[Diaschismic family|Echidna]]: [[80edo|80et]] 22&58 23.679
+[[Diaschismic family|Bidia]]: [[80edo|80et]] 12&68 41.137
+[[Ragismic microtemperaments#Parakleismic|Paradigmic]]: [[80edo|80et]] 19&80 35.781
+[[Orwellismic temperaments#Quartonic-13-limit|Quartonic]]: [[80edo|80et]] 53&80 23.875
+[[Meantone family|Meanpop]]: [[81edo|81et]] 19&31 20.883
+[[Magic family#Soothsaying|Soothsaying]]: [[82edo|82et]] 22&60 55.443
+[[Orwellismic temperaments#Secant-13-limit|Secant]]: [[84edo|84et]] 26&58 46.373
+[[Gamelismic clan|Rodan]]: [[87edo|87et]] 41&46 18.448
+[[Kleismic family#Clyde|Clyde]]: [[87edo|87et]] 19&68 26.842
+[[Misty family#Misty|Misty]]: [[87edo|87et]] 12f&87 27.820
+[[Hemimean clan#Emka-13-limit|Emka]]: [[87edo|87et]] 37&50 29.741
+[[Meantone family#Mothra|Mothra]]: [[88edo|88et]] 5&26 23.954
+[[Starling temperaments#Amigo-13-limit|Amigo]]: [[89edo|89et]] 43&46 30.666
+[[Marvel temperaments#Septimin-13-limit|Septimin]]: [[91edo|91et]] 9&41 23.117
+[[31st-octave temperaments #Prajapati|Kumhar]]: [[93edo|93et]] 31&93 48.582
+[[Marvel temperaments|Slender]]: [[94edo|94et]] 31&63 25.913
+[[Schismatic family#Sanjaab-13-limit|Sanjaab]]: [[94edo|94et]] 29&94 33.849
+[[Hemifamity temperaments#Supers|Supers]]: [[94edo|94et]] 58&94 21.644
+[[Marvel temperaments#Submajor-Interpental-13-limit|Interpental]]: [[96edo|96et]] 43&53 29.680
+[[Meantone family#Mothra|Mosura]]: [[98edo|98et]] 31&67 36.857
+[[Ragismic microtemperaments#Amity-Hitchcock-13-limit|Hitchcock]]: [[99edo|99et]] 7&39 22.448
+[[Diaschismic family|Echidnic]]: [[102edo|102et]] 10&46 28.874
+[[Gamelismic clan|Benediction]]: [[103edo|103et]] 31&72 15.715
+[[Gamelismic clan#Miracle-Phicordial|Phicordial]]: [[103edo|103et]] 10&103 33.198
+[[Gamelismic clan#Miracle-Hemisecordite|Hemisecordite]]: [[103edo|103et]] 41&62 25.589
+[[Magic family#Magic-13-limit-Necromancy|Necromancy]]: [[104edo|104et]] 22&41 25.275
+[[Sensamagic clan#Leapweek|Leapweek]]: [[109edo|109et]] 17&46 32.727
+[[Hemifamity temperaments|Buzzard]]: [[111edo|111et]] 53&58 18.842
+[[Hemimean clan#Semisept-13-limit|Semisept]]: [[111edo|111et]]  31&80 25.204
+[[Mirkwai clan#Kwai-13-limit|Kwai]]: [[111edo|111et]] 41&111 24.555
+[[Diaschismic family|Shrutar]]: [[114edo|114et]] 46&68 28.057
+[[Marvel temperaments#Submajor-13-limit|Submajor]]: [[116edo|116et]] 10&53 27.689
+[[Schismatic family|Guiron]]: [[118edo|118et]] 41&77 28.444
+[[Gamelismic clan#Hemithirds-13-limit|Hemithirds]]: [[118edo|118et]] 31&56 21.738
+[[Schismatic family#Kleischismic|Kleischismic]]: [[118edo|118et]] 24&94 37.640
+[[Mirkwai clan|Grendel]]: [[121edo|121et]] 31&121 24.839
+[[Mirkwai clan#Pluto|Pluto]]: [[121edo|121et]] 41&80 25.717
+[[Hemimage temperaments#Subfourth-13-limit|Subfourth]]: [[121edo|121et]] 58&121 23.800
+[[Breedsmic temperaments|Harry]]: [[130edo|130et]] 58&72 13.046
+[[26th-octave temperaments#Bosonic|Bosonic]]: [[130edo|130et]] 26&130 32.946
+[[Sensipent family#Bison-13-limit|Bison]]: [[130edo|130et]] 46&84 23.504
+[[Schismatic family#Sesquiquartififths-Sesquart-13-limit|Sesquart]]: [[130edo|130et]] 41&89 22.396
+[[Porwell temperaments#Septisuperfourth|Septisuperquad]]: [[130edo|130et]] 22&108 33.038
+[[Maquila family|Hemimaquila]]: [[130edo|130et]] 9&121 24.445
+[[Kleismic family|Countercata]]: [[140edo|140et]] 34&53 20.156
+[[Hemimage temperaments#Degrees|Degrees]]: [[140edo|140et]] 80&140 32.718
+[[Hemifamity temperaments#Ketchup-13-limit|Ketchup]]: [[140edo|140et]] 46&94 24.824
+[[Breedsmic temperaments#Fibo|Fibo]]: [[140edo|140et]] 37&103 27.429
+[[Pythagorean family#Omicronbeta temperament|Omicronbeta]]: [[144edo|144et]] 72&144 29.956
+[[Sensipent family|Heinz]]: [[149edo|149et]] 46&103 25.779
+[[Gamelismic clan#Hemiseven-13-limit|Hemiseven]]: [[149edo|149et]] 5&72 21.900
+[[Ragismic microtemperaments#Octoid-Octopus|Octopus]]: [[152edo|152et]] 72&152 21.679
+[[Unicorn family#Alicorn|Monocerus]]: [[154edo|154et]] 58&154 28.795
+[[Kleismic family|Tritikleismic]]: [[159edo|159et]] 15&72 15.652
+[[Breedsmic temperaments#Mintone|Mintone]]: [[161edo|161et]] 58&103 21.849
+[[Marvel temperaments|Gizzard]]: [[166edo|166et]] 72&166 20.252
+[[Porwell temperaments#Polypyth|Polypyth]]: [[167edo|167et]] 46&121 30.292
+[[Breedsmic temperaments#Tertiaseptal|Tertiaseptal]]: [[171edo|171et]] 31&171 36.876
+[[Ragismic microtemperaments#Parakleismic-Parkleismic-13-limit|Parkleismic]]: [[179edo|179et]] 80&179 36.559
+[[Mirkwai clan|Mirkat]]: [[183edo|183et]] 72&111 18.632
+[[Gamelismic clan|Ekadash]]: [[190edo|190et]] 72&118 20.381
+[[Gamelismic clan#Widefourth-13-limit|Widefourth]]: [[190edo|190et]] 16&71 21.636
+[[Kleismic family|Sqrtphi]]: [[193edo|193et]] 72&121 20.040
+[[Misty family#Hemimist|Hemimist]]: [[198edo|198et]] 87&111 22.923
+[[Breedsmic temperaments#Semihemi|Semihemi]]: [[198edo|198et]] 58&140 21.188
+[[Ragismic microtemperaments#Amity-13-limit|Amity]]: [[205edo|205et]] 53&205 28.008
+[[Hemifamity temperaments|Quanic]]: [[205edo|205et]] 94&111 32.481
+[[Cataharry temperaments#Swetneus|Swetneus]]: [[207edo|207et]] 58&149 28.876
+[[Kleismic family|Metakleismic]]: [[208edo|208et]] 87&121 24.371
+[[Kleismic family|Quadritikleismic]]: [[212edo|212et]] 68&72 18.731
+[[Octagar temperaments#Slithy-13-limit|Slithy]]: [[215edo|215et]] 94&121 28.492
+[[Hemimean clan#Arch|Arch]]: [[217edo|217et]] 43&87 19.504
+[[Ragismic microtemperaments|Octoid]]: [[224edo|224et]] 72&224 15.274
+[[Schismatic family#Quanharuk-13-limit|Quanharuk]]: [[224edo|224et]] 41&142 21.392
+[[Hemifamity temperaments|Mystery]]: [[232edo|232et]] 29&58 18.591
+[[Hemimean clan#Subpental|Subpental]]: [[241edo|241et]] 19&111 23.940
+[[Ragismic microtemperaments#Ennealimmal|Ennealimnic]]: [[243edo|243et]] 72&171 20.250
+[[Quince clan#Essence|Essence]]: [[248edo|248et]] 58&190 26.107
+[[Mirkwai clan#Subsemifourth|Subsemifourth]]: [[255edo|255et]] 103&255 28.387
+[[Ragismic microtemperaments|Hemiennealimmal]]: [[270edo|270et]] 72&198 12.505
+[[Ragismic microtemperaments#Acrokleismic-13-limit|Acrokleismic]]: [[270edo|270et]] 19&251 26.818
+[[Ragismic microtemperaments#Acrokleismic-Counteracro-13-limit|Counteracro]]: [[270edo|270et]] 270&1331c 26.028
+[[Porwell temperaments#Septisuperfourth|Septisuperfourth]]: [[282edo|282et]] 130&282 22.887
+[[Escapade family#Escaped|Escaped]]: [[283edo|283et]] 22&65 31.366
+[[Schismatic family#Sextilifourths|Sextilifourths]]: [[289edo|289et]] 29&130 25.276
+[[Ragismic microtemperaments#Quincy|Quincy]]: [[289edo|289et]] 72&145 23.862
+[[Würschmidt family#Hemiwürschmidt-11-limit-13-limit|Hemiwürschmidt]]: [[291edo|291et]] 31&130 23.074
+[[Schismatic family#Hemischis|Hemischis]]: [[313edo|313et]] 53&130 20.816
+[[Werckismic temperaments#Octowerck|Octowerck]]: [[320edo|320et]] 72&248 27.632
+[[Quintile family#Decile|Decile]]: [[320edo|320et]] 130&190 23.948
+[[Kleismic family#Novemkleismic|Novemkleismic]]: [[333edo|333et]] 72&261 39.072
+[[Breedsmic temperaments#Catafourth|Catafourth]]: [[363edo|363et]] 103&130 21.694
+[[Schismatic family|Bischismic]]: [[378edo|378et]] 12&118 28.722
+[[Ragismic microtemperaments#Neusec|Neusec]]: [[388edo|388et]] 190&198 30.941
+[[Ragismic microtemperaments#Gamera-Hemigamera-13-limit|Hemigamera]]: [[422edo|422et]] 26&198 20.416
+[[Ragismic microtemperaments|Semiennealimmal]]: [[441edo|441et]] 72&441 26.122
+[[31st-octave temperaments #Birds|Birds]]: [[465edo|465et]] 31&217 35.680
+[[Horwell temperaments#Emkay|Emkay]]: [[535edo|535et]] 87&137 17.853
+[[26th-octave temperaments#Fermionic|Fermionic]]: [[546edo|546et]] 130&286 43.581
+[[Schismatic family#Pogo-13-limit|Pogo]]: [[578edo|578et]] 36&94 17.514
+[[Ragismic microtemperaments#Quatracot-13-limit|Quatracot]]: [[638edo|638et]] 190&224 22.643
+[[Breedsmic temperaments#Unthirds|Unthirds]]: [[694edo|694et]] 72&311 20.888
+[[Schismatic family#Octant-13-limit|Octant]]: [[696edo|696et]] 24&224 30.425
+[[Ragismic microtemperaments#Quasithird-13-limit|Quasithird]]: [[836edo|836et]] 164&224 29.501
+[[Breedsmic temperaments#Newt|Newt]]: [[851edo|851et]] 41&229 13.830
+[[Breedsmic temperaments|Decoid]]: [[940edo|940et]] 130&270 13.475
+[[Ragismic microtemperaments#Ennealimmal|Semihemiennealimmal]] [[954edo|954et]] 126&144 13.104
+[[Vishnuzmic family#Vishnu-Acyuta|Acyuta]]: [[962edo|962et]] 270&692 15.805
+[[Ragismic microtemperaments|Deca]]: [[1000edo|1000et]] 80&190 16.810
+[[Breedsmic temperaments|Quasiorwell]]: [[1111edo|1111et]] 31&239 17.921
+[[Ragismic microtemperaments|Abigail]]: [[1258edo|1258et]] 46&178 8.856
+[[Tricot family#Trillium|Trillium]]: [[1429edo|1429et]] 53&441 19.393
+[[Vishnuzmic family#Vishnu-Ananta|Ananta]]: [[1468edo|1468et]] 118&152 23.678
+=== 13-limit rank three ===
+Name: ET w/ optimal patent val: Val name: 10^5 * badness
+[[Starling family #Mockingbird|Mockingbird]]: [[15edo|15et]] 3&4&15 85.942
+[[Starling family #Catbird|Catbird]]: [[19edo|19et]] 4&12f&19 90.475
+[[Marvel family #Potassium|Potassium]]: [[19edo|19et]] 9&10&11 73.346
+[[Mint family #Nickel|Nickel]]: [[28edo|28et]] 7&9&21 64.705
+[[Semaphore family #Negric|Negric]]: [[29edo|29et]] 1&9&10 80.756
+[[Starling family #Nightingale|Nightingale]]: [[31edo|31et]] 3&15&28 83.714
+[[Starling family #Thrasher|Thrasher]]: [[34edo|34et]] 12&15&19 87.636
+[[Semaphore family #Selenium|Selenium]]: [[34edo|34et]] 5&9&10 78.368
+[[Sengic family #Krypton|Krypton]]: [[36edo|36et]] 9&10&36 72.673
+[[Gamelismic family #Foreboding|Foreboding]]: [[41edo|41et]] 5&10&26 87.267
+[[Marvel family #Prodigy|Prodigy]]: [[41edo|41et]] 10&29&31 73.639
+[[Starling family #Veery|Veery]]: [[46edo|46et]] 12&15&46 99.122
+[[Marvel family #Athene|Athene]]: [[53edo|53et]] 12f&22&53 81.781
+[[Starling family #Thrush|Thrush]]: [[58edo|58et]] 31&46&58 67.663
+[[Starling family #Bluebird|Bluebird]]: [[58edo|58et]] 12&15&31 91.548
+[[Starling family #Aplonis|Aplonis]]: [[58edo|58et]] 19&31&58 82.078
+[[Breed family #Jofur|Jofur]]: [[58edo|58et]] 10&31&58 74.932
+[[Rastmic temperaments #Parahemif|Parahemif]]: [[58edo|58et]] 17&24&58 119.366
+[[Marvel family #Deecee|Deecee]]: [[72edo|72et]] 9&22&41 92.048
+[[Marvel family #Prodigy|Prodigious]]: [[72edo|72et]] 2&29&41 89.974
+[[Marvel family #Marvelcat|Marvelcat]]: [[72edo|72et]] 9&10&44 99.966
+[[Ragisma family #Beyla|Beyla]]: [[72edo|72et]] 7&19&46 83.962
+[[Valinorismic temperaments #Varda|Varda]]: [[80edo|80et]] 22&46&58 97.041
+[[Sensamagic family #Sensawer|Sensawer]]: [[87edo|87et]] 41&46&73 92.807
+[[Marvel family #Tripod|Tripod]]: [[91edo|91et]] 9&10&31 74.546
+[[Marvel family #Isis|Isis]]: [[94edo|94et]] 10&22&31 86.583
+[[Marvel family #Malcolm|Malcolm]]: [[94edo|94et]] 19e&41&53 107.452
+[[Marvel family #Undecimal marvel|Marvel]]: [[103edo|103et]] 19&22&31 68.977
+[[Marvel family #Prodigy|Prodigal]]: [[103edo|103et]] 31&72&84 88.910
+[[Marvel family #Mirage|Mirage]]: [[103edo|103et]] 10&31&62 73.850
+[[Marvel family #Apollo|Apollo]]: [[104edo|104et]] 22&29&41 103.106
+[[Swetismic temperaments #Cerberus|Cerberus]]: [[130edo|130et]] 22&50&58 76.512
+[[Gamelismic family #Ominous|Ominous]]: [[149edo|149et]] 5&26&46 75.055
+[[Gamelismic family #Portending|Portending]]: [[159edo|159et]] 15&26&46 62.715
+[[Gamelismic family #Momentous|Momentous]]: [[164edo|164et]] 10&31&46 83.202
+[[Marvel family #Hecate|Hecate]]: [[166edo|166et]] 19&41&53 72.113
+[[Marvel family #Marvell|Marvell]]: [[166edo|166et]] 9&31&63 86.160
+[[Valinorismic temperaments #Ulmo|Ulmo]]: [[179edo|179et]] 7&39&80 93.162
+[[Mirkwai family #Vibhu|Vibhu]]: [[183edo|183et]] 31&72&111 82.598
+[[Gamelismic family #Portentous|Portentous]]: [[190edo|190et]] 15&31&56 66.119
+[[Mirkwai family #Vish|Vish]]: [[193edo|193et]] 41&72&121 92.976
+[[Swetismic temperaments #Minos|Minos]]: [[193edo|193et]] 9&54&58 72.381
+[[Hemifamity family #Namaka|Namaka]]: [[198edo|198et]] 29&53&58 78.124
+[[Hemifamity family #Laka|Laka]]: [[205edo|205et]] 41&53&58 82.186
+[[The Archipelago #Kujuku|Kujuku]] [[208edo|208et]] 24&29&58 105.976
+[[Pentacircle temperaments #Tolerant|Tolerant]]: [[208edo|208et]] 41&46&80 102.099
+[[Marvel family #Spectacle|Spectacle]]: [[209edo|209et]] 31&72&209 100.924
+[[Breed family #Agni|Agni]]: [[212edo|212et]] 6&31&72 92.251
+[[Mirkwai family #Yajna|Yajna]]: [[224edo|224et]] 31&72&121 69.986
+[[Hemifamity family #Pele|Pele]]: [[232edo|232et]] 29&41&46 70.328
+[[Werckismic temperaments #Trimyna|Trimyna]]: [[232edo|232et]] 29&31&56 81.405
+[[Breed family #Jovial|Jovial]]: [[243edo|243et]] 41&58&72 62.380
+[[Lehmerismic temperaments #Borneo|Borneo]]: [[270edo|270et]] 15&72&111 54.937
+[[Werckismic temperaments #History|History]]: [[289edo|289et]] 15&29&43 53.955
+[[Kleismic rank three family #Enlil|Enlil]]: [[299edo|299et]] 15&19&53 68.005
+[[Cataharry family #Madagascar|Madagascar]]: [[313edo|313et]] 19&53&58 56.006
+[[Porwell family #Hera|Hera]]: [[313edo|313et]] 46&53&84 129.736
+[[Hemifamity family #Akea|Akea]]: [[321edo|321et]] 7&34&46 82.191
+[[Porwell family #Semiporwell|Semiporwell]]: [[328edo|328et]] 46&68&84 122.026
+[[Breed family #Jovis|Jovis]]: [[363edo|363et]] 31&58&72 54.221
+[[Canou family #Semicanou|Semicanou]]: [[410edo|410et]] 94&198&212 297.443
+[[Lehmerismic temperaments #Hanuman|Hanuman]]: [[535edo|535et]] 15&72&137 65.278
+[[Swetismic temperaments #Hades|Hades]]: [[578edo|578et]] 36&58&72 53.531
+[[Breed family #Vili|Vili]]: [[643edo|643et]] 37&93&103 73.821
+[[Mirkwai family #Shibi|Shibi]]: [[703edo|703et]] 41&72&111 72.094
+[[Breed family #Greenland|Greenland]]: [[940edo|940et]] 58&72&198 44.343
+[[The Archipelago #Baffin|Baffin]]: [[940edo|940et]] 34&43&53 60.443
+[[Breed family #Ennealimmic|Ennealimmic]]: [[981edo|981et]] 27&72&171 75.488
+[[Breed family #Zisa|Zisa]]: [[1241edo|1241et]] 21&31&109 82.974
+[[Ragisma family #Thunor|Thunor]]: [[1258edo|1258et]] 26&46&178 34.135
+[[Breed family #Frigg|Frigg]]: [[1344edo|1344et]] 6&58&103 93.387
+[[Ragisma family #Donar|Donar]]: [[1448edo|1448et]] 46&80&144 32.154
+[[Ragisma family #Rym|Rym]]: [[1870edo|1870et]] 46&106&118 54.933
+[[Lehmerismic temperaments #Galaxy|Galaxy]]: [[2125edo|2125et]] 46&103&121 46.311
+[[Lehmerismic temperaments #Lux|Lux]]: [[2333edo|2333et]] 41&46&137 36.015
+[[Breed family #Freya|Freya]]: [[2615edo|2615et]] 10&31&229 85.515
+== See also ==
+* [[Associated temperament]]
+{{todo
+| improve layout
+| increase applicability
+| text = add structure by switching to tables
+| inline = 1
+}}
+[[Category:Regular temperament theory]]
+[[Category:Val]]
+[[Category:Lists]]

Optimal patent val: Difference between revisions