Associated temperament
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- The original revision id was 300011212.
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Original Wikitext content:
By an //associated temperament// to a p-limit comma is meant a p-limit temperament tempering out that comma which shares the same [[optimal patent val]] as the [[Rank and codimension|codimension one]] temperament tempering out that comma. By definition, the optimal patent val defines the unique rank one associated temperament. For rank two temperaments, it is possible for more than one temperament to be associated, and some of these are listed below. The column headings are the comma being associated, the optimal patent val, the rank two temperament, and a comma basis for the rank two temperament. =7 limit= || Comma || OPV || Temperament || Basis || || 28/27 || [[15edo]] || [[blacksmith]] || 28/27, 49/48 || || 1029/1000 || [[55edo]] || [[liese]] || 81/80, 686/675 || || 36/35 || [[12edo]] || [[diminished]] || 36/35, 50/49 || || 36/35 || [[12edo]] || [[august]] || 36/35, 128/125 || || 36/35 || [[12edo]] || [[dominant]] || 36/35, 64/63 || || 525/512 || [[45edo]] || [[flattone]] || 81/80, 525/512 || || 49/48 || [[19edo]] || [[keemun]] || 49/48, 126/125 || || 49/48 || [[19edo]] || [[godzilla]] || 49/48, 81/80 || || 50/49 || [[48edo]] || [[doublewide]] || 50/49, 875/864 || || 64/63 || [[49edo]] || [[superpyth]] || 64/63, 245/243 || || 875/864 || [[41edo]] || [[magic]] || 225/224, 245/243 || || 875/864 || [[41edo]] || [[superkleismic]] || 875/864, 1029/1024 || || 3125/3087 || [[94edo]] || [[garibaldi]] || 225/224, 3125/3087 || || 2430/2401 || [[137edo]] || [[orwell]] || 225/224, 1728/1715 || || 245/243 || [[283edo]] || [[Escapade family#Escaped|escaped]] || 245/243, 65625/65536 || || 126/125 || [[185edo]] || [[valentine]] || 126/125, 1029/1024 || || 1728/1715 || [[111edo]] || [[Hemifamity temperaments#Buzzard|buzzard]] || 1728/1715, 5120/5103 || || 1728/1715 || [[111edo]] || [[semisept]] || 1728/1715, 3136/3125 || || 1029/1024 || [[190edo]] || [[unidec]] || 1029/1024, 4375/4374 || || 225/224 || [[197edo]] || [[catakleismic]] || 225/224, 4375/4374 || || 3136/3125 || [[446edo]] || [[Hemimean clan#Sengagen|sengagen]] || 3136/3125, 420175/419904 || || 5120/5103 || [[391edo]] || [[Hemifamity temperaments#Alphaquarter|alphaquarter]] || 5120/5103, 29360128/29296875 || || 5120/5103 || [[391edo]] || [[Hemifamity temperaments#Septiquarter|septiquarter]] || 5120/5103, 420175/419904 || || 6144/6125 || [[381edo]] || [[Porwell temperaments#Nessafof|nessafof]] || 6144/6125, 250047/250000 || || 65625/65536 || [[171edo]] || [[Breedsmic temperaments#Tertiaseptal|tertiaseptal]] || 2401/2400, 65625/65536 || || 703125/702464 || [[2185edo]] || [[Ragismic microtemperaments#Enneadecal|enneadecal]] || 4375/4374, 703125/702464 || || 4375/4374 || [[8419edo]] || [[Ragismic microtemperaments#Semidimi|semidimi]] || 4375/4374, 3955078125/3954653486 || || 250047/250000 || [[12555edo]] || || 250047/250000, 281484423828125/281474976710656 || =11 limit= || Comma || OPV || Temperament || Basis || || 33/32 || [[16edo]] || [[Pelogic family#Armodue|armodue]] || 33/32, 36/35, 45/44 || || 77/75 || [[39edo]] || [[triforce]] || 49/48, 56/55, 77/75 || || 352/343 || [[22edo]] || [[hedgehog]] || 50/49, 55/54, 99/98 || || 45/44 || [[45edo]] || [[flattone]] || 45/44, 81/80, 385/384 || || 55/54 || [[51edo]] || [[porky]] || 55/54, 100/99, 225/224 || || 56/55 || [[36edo]] || [[Pythagorean family#Catler temperament|catcall]] || 56/55, 81/80, 128/125 || || 245/242 || [[91edo]] || [[septimin]] || 225/224, 245/242, 385/384 || || 99/98 || [[127edo]] || [[Würschmidt family#Würschmidt|würschmidt]] || 99/98, 176/175, 243/242 || || 100/99 || [[104edo]] || [[magic]] || 100/99, 225/224, 245/243 || || 121/120 || [[99edo]] || [[hitchcock]] || 121/120, 176/175, 2200/2187 || || 121/120 || [[99edo]] || [[Würschmidt family#Hemiwürschmidt|hemiwur]] || 121/120, 176/175, 1375/1372 || || 176/175 || [[111edo]] || [[semisept]] || 176/175, 540/539, 1331/1323 || || 896/891 || [[208edo]] || [[Kleismic family#Metakleismic|metakleismic]] || 896/891, 2200/2187, 14700/14641 || || 65536/65219 || [[282edo]] || [[Porwell temperaments#Septisuperfourth|septisuperfourth]] || 540/539, 4000/3993, 5632/5625 || || 243/242 || [[202edo]] || [[harry]] || 243/242, 441/440, 4000/3993 || || 243/242 || [[202edo]] || [[Breedsmic temperaments#Tertiaseptal|tertiaseptal]] || 243/242, 441/440, 65625/65536 || || 3388/3375 || [[316edo]] || [[Ragismic microtemperaments#Semiparakleismic|semiparakleismic]] || 3025/3024, 3136/3125, 4375/4374 || || 385/384 || [[284edo]] || [[quadritikleismic]] || 385/384, 1375/1372, 6250/6237 || || 441/400 || [[320edo]] || [[octowerck]] || 441/440, 8019/8000, 41503/41472 || || 540/539 || [[578edo]] || [[Schismatic family#Pogo|pogo]] || 540/539, 4000/3993, 32805/32768 || || 4000/3993 || [[665edo]] || [[Ragismic microtemperaments#Brahmagupta|brahmagupta]] || 4000/3993, 4375/4374, 131072/130977 || || 5632/5625 || [[1092edo]] || [[Landscape microtemperaments#Sextile|sextile]] || 5632/5625, 9801/9800, 151263/151250 || || 3025/3024 || [[2554edo]] || [[Ragismic microtemperaments#Supermajor-Semisupermajor|semisupermajor]] || 3025/3024, 4375/4374, 35156250/35153041 || =13 limit= || Comma || OPV || Temperament || Basis || || 26/25 || [[12edo]] || [[Augmented family#August|augustus]] || 26/25, 36/35, 45/44, 56/55 || || 27/26 || [[35edo]] || [[Avicennmic temperaments#Secund|secund]] || 27/26, 45/44, 99/98, 385/384 || || 27/26 || [[35edo]] || [[Greenwoodmic temperaments#Greenwood|greenwood]] || 27/26, 45/44, 99/98, 640/637 || || 40/39 || [[15edo]] || [[Archytas clan#Blacksmith|blacksmith]] || 28/27, 40/39, 49/48, 55/54 || || 65/64 || [[29edo]] || [[Marvel temperaments#Negril|negril]] || 49/48, 65/64, 91/90, 875/858 || || 65/64 || [[29edo]] || [[Porcupine family#Coendou|coendou]] || 55/54, 65/64, 100/99, 105/104 || || 66/65 || [[31edo]] || [[Semicomma family#Winston|winston]] || 66/65, 99/98, 105/104, 121/120 || || 66/65 || [[31edo]] || [[Meantone family#Mohajira-13-limit|mohajira]] || 66/65, 81/80, 105/104, 121/120 || || 66/65 || [[31edo]] || [[Meantone family#Squares-13-limit|squares]] || 66/65, 81/80, 99/98, 121/120 || || 78/77 || [[43edo]] || [[Marvel temperaments#Amavil|amavil]] || 78/77, 99/98, 144/143, 176/175 || || 78/77 || [[43edo]] || [[Meantone family#Jerome|jerome]] || 78/77, 81/80, 99/98, 144/143 || || 91/90 || [[102edo]] || [[Diaschismic family#Echidnic|echidnic]] || 91/90, 169/168, 385/384, 441/440 || || 105/104 || [[91edo]] || [[Marvel temperaments#Septimin|septimin]] || 105/104, 144/143, 196/195, 245/242 || || 275/273 || [[94edo]] || [[Schismatic family#Garibaldi|garibaldi]] || 225/224, 275/273, 325/324, 385/384 || || 275/273 || [[94edo]] || [[Hemifamity temperaments#Supers|supers]] || 352/351, 540/539, 729/728, 1575/1573 || || 144/143 || [[84edo]] || [[Marvel temperaments#Merman|merman]] || 144/143, 225/224, 364/363, 441/440 || || 144/143 || [[84edo]] || [[Orwellismic temperaments|secant]] || 144/143, 351/350, 364/363, 441/440 || || 169/168 || [[152edo]] || [[Ragismic microtemperaments#Octoid-Octopus|octopus]] || 169/168, 325/324, 364/363, 540/539 ||
Original HTML content:
<html><head><title>Associated rank two temperaments</title></head><body>By an <em>associated temperament</em> to a p-limit comma is meant a p-limit temperament tempering out that comma which shares the same <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> as the <a class="wiki_link" href="/Rank%20and%20codimension">codimension one</a> temperament tempering out that comma. By definition, the optimal patent val defines the unique rank one associated temperament. For rank two temperaments, it is possible for more than one temperament to be associated, and some of these are listed below. The column headings are the comma being associated, the optimal patent val, the rank two temperament, and a comma basis for the rank two temperament.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x7 limit"></a><!-- ws:end:WikiTextHeadingRule:0 -->7 limit</h1>
<table class="wiki_table">
<tr>
<td>Comma<br />
</td>
<td>OPV<br />
</td>
<td>Temperament<br />
</td>
<td>Basis<br />
</td>
</tr>
<tr>
<td>28/27<br />
</td>
<td><a class="wiki_link" href="/15edo">15edo</a><br />
</td>
<td><a class="wiki_link" href="/blacksmith">blacksmith</a><br />
</td>
<td>28/27, 49/48<br />
</td>
</tr>
<tr>
<td>1029/1000<br />
</td>
<td><a class="wiki_link" href="/55edo">55edo</a><br />
</td>
<td><a class="wiki_link" href="/liese">liese</a><br />
</td>
<td>81/80, 686/675<br />
</td>
</tr>
<tr>
<td>36/35<br />
</td>
<td><a class="wiki_link" href="/12edo">12edo</a><br />
</td>
<td><a class="wiki_link" href="/diminished">diminished</a><br />
</td>
<td>36/35, 50/49<br />
</td>
</tr>
<tr>
<td>36/35<br />
</td>
<td><a class="wiki_link" href="/12edo">12edo</a><br />
</td>
<td><a class="wiki_link" href="/august">august</a><br />
</td>
<td>36/35, 128/125<br />
</td>
</tr>
<tr>
<td>36/35<br />
</td>
<td><a class="wiki_link" href="/12edo">12edo</a><br />
</td>
<td><a class="wiki_link" href="/dominant">dominant</a><br />
</td>
<td>36/35, 64/63<br />
</td>
</tr>
<tr>
<td>525/512<br />
</td>
<td><a class="wiki_link" href="/45edo">45edo</a><br />
</td>
<td><a class="wiki_link" href="/flattone">flattone</a><br />
</td>
<td>81/80, 525/512<br />
</td>
</tr>
<tr>
<td>49/48<br />
</td>
<td><a class="wiki_link" href="/19edo">19edo</a><br />
</td>
<td><a class="wiki_link" href="/keemun">keemun</a><br />
</td>
<td>49/48, 126/125<br />
</td>
</tr>
<tr>
<td>49/48<br />
</td>
<td><a class="wiki_link" href="/19edo">19edo</a><br />
</td>
<td><a class="wiki_link" href="/godzilla">godzilla</a><br />
</td>
<td>49/48, 81/80<br />
</td>
</tr>
<tr>
<td>50/49<br />
</td>
<td><a class="wiki_link" href="/48edo">48edo</a><br />
</td>
<td><a class="wiki_link" href="/doublewide">doublewide</a><br />
</td>
<td>50/49, 875/864<br />
</td>
</tr>
<tr>
<td>64/63<br />
</td>
<td><a class="wiki_link" href="/49edo">49edo</a><br />
</td>
<td><a class="wiki_link" href="/superpyth">superpyth</a><br />
</td>
<td>64/63, 245/243<br />
</td>
</tr>
<tr>
<td>875/864<br />
</td>
<td><a class="wiki_link" href="/41edo">41edo</a><br />
</td>
<td><a class="wiki_link" href="/magic">magic</a><br />
</td>
<td>225/224, 245/243<br />
</td>
</tr>
<tr>
<td>875/864<br />
</td>
<td><a class="wiki_link" href="/41edo">41edo</a><br />
</td>
<td><a class="wiki_link" href="/superkleismic">superkleismic</a><br />
</td>
<td>875/864, 1029/1024<br />
</td>
</tr>
<tr>
<td>3125/3087<br />
</td>
<td><a class="wiki_link" href="/94edo">94edo</a><br />
</td>
<td><a class="wiki_link" href="/garibaldi">garibaldi</a><br />
</td>
<td>225/224, 3125/3087<br />
</td>
</tr>
<tr>
<td>2430/2401<br />
</td>
<td><a class="wiki_link" href="/137edo">137edo</a><br />
</td>
<td><a class="wiki_link" href="/orwell">orwell</a><br />
</td>
<td>225/224, 1728/1715<br />
</td>
</tr>
<tr>
<td>245/243<br />
</td>
<td><a class="wiki_link" href="/283edo">283edo</a><br />
</td>
<td><a class="wiki_link" href="/Escapade%20family#Escaped">escaped</a><br />
</td>
<td>245/243, 65625/65536<br />
</td>
</tr>
<tr>
<td>126/125<br />
</td>
<td><a class="wiki_link" href="/185edo">185edo</a><br />
</td>
<td><a class="wiki_link" href="/valentine">valentine</a><br />
</td>
<td>126/125, 1029/1024<br />
</td>
</tr>
<tr>
<td>1728/1715<br />
</td>
<td><a class="wiki_link" href="/111edo">111edo</a><br />
</td>
<td><a class="wiki_link" href="/Hemifamity%20temperaments#Buzzard">buzzard</a><br />
</td>
<td>1728/1715, 5120/5103<br />
</td>
</tr>
<tr>
<td>1728/1715<br />
</td>
<td><a class="wiki_link" href="/111edo">111edo</a><br />
</td>
<td><a class="wiki_link" href="/semisept">semisept</a><br />
</td>
<td>1728/1715, 3136/3125<br />
</td>
</tr>
<tr>
<td>1029/1024<br />
</td>
<td><a class="wiki_link" href="/190edo">190edo</a><br />
</td>
<td><a class="wiki_link" href="/unidec">unidec</a><br />
</td>
<td>1029/1024, 4375/4374<br />
</td>
</tr>
<tr>
<td>225/224<br />
</td>
<td><a class="wiki_link" href="/197edo">197edo</a><br />
</td>
<td><a class="wiki_link" href="/catakleismic">catakleismic</a><br />
</td>
<td>225/224, 4375/4374<br />
</td>
</tr>
<tr>
<td>3136/3125<br />
</td>
<td><a class="wiki_link" href="/446edo">446edo</a><br />
</td>
<td><a class="wiki_link" href="/Hemimean%20clan#Sengagen">sengagen</a><br />
</td>
<td>3136/3125, 420175/419904<br />
</td>
</tr>
<tr>
<td>5120/5103<br />
</td>
<td><a class="wiki_link" href="/391edo">391edo</a><br />
</td>
<td><a class="wiki_link" href="/Hemifamity%20temperaments#Alphaquarter">alphaquarter</a><br />
</td>
<td>5120/5103, 29360128/29296875<br />
</td>
</tr>
<tr>
<td>5120/5103<br />
</td>
<td><a class="wiki_link" href="/391edo">391edo</a><br />
</td>
<td><a class="wiki_link" href="/Hemifamity%20temperaments#Septiquarter">septiquarter</a><br />
</td>
<td>5120/5103, 420175/419904<br />
</td>
</tr>
<tr>
<td>6144/6125<br />
</td>
<td><a class="wiki_link" href="/381edo">381edo</a><br />
</td>
<td><a class="wiki_link" href="/Porwell%20temperaments#Nessafof">nessafof</a><br />
</td>
<td>6144/6125, 250047/250000<br />
</td>
</tr>
<tr>
<td>65625/65536<br />
</td>
<td><a class="wiki_link" href="/171edo">171edo</a><br />
</td>
<td><a class="wiki_link" href="/Breedsmic%20temperaments#Tertiaseptal">tertiaseptal</a><br />
</td>
<td>2401/2400, 65625/65536<br />
</td>
</tr>
<tr>
<td>703125/702464<br />
</td>
<td><a class="wiki_link" href="/2185edo">2185edo</a><br />
</td>
<td><a class="wiki_link" href="/Ragismic%20microtemperaments#Enneadecal">enneadecal</a><br />
</td>
<td>4375/4374, 703125/702464<br />
</td>
</tr>
<tr>
<td>4375/4374<br />
</td>
<td><a class="wiki_link" href="/8419edo">8419edo</a><br />
</td>
<td><a class="wiki_link" href="/Ragismic%20microtemperaments#Semidimi">semidimi</a><br />
</td>
<td>4375/4374, 3955078125/3954653486<br />
</td>
</tr>
<tr>
<td>250047/250000<br />
</td>
<td><a class="wiki_link" href="/12555edo">12555edo</a><br />
</td>
<td><br />
</td>
<td>250047/250000, 281484423828125/281474976710656<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="x11 limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11 limit</h1>
<table class="wiki_table">
<tr>
<td>Comma<br />
</td>
<td>OPV<br />
</td>
<td>Temperament<br />
</td>
<td>Basis<br />
</td>
</tr>
<tr>
<td>33/32<br />
</td>
<td><a class="wiki_link" href="/16edo">16edo</a><br />
</td>
<td><a class="wiki_link" href="/Pelogic%20family#Armodue">armodue</a><br />
</td>
<td>33/32, 36/35, 45/44<br />
</td>
</tr>
<tr>
<td>77/75<br />
</td>
<td><a class="wiki_link" href="/39edo">39edo</a><br />
</td>
<td><a class="wiki_link" href="/triforce">triforce</a><br />
</td>
<td>49/48, 56/55, 77/75<br />
</td>
</tr>
<tr>
<td>352/343<br />
</td>
<td><a class="wiki_link" href="/22edo">22edo</a><br />
</td>
<td><a class="wiki_link" href="/hedgehog">hedgehog</a><br />
</td>
<td>50/49, 55/54, 99/98<br />
</td>
</tr>
<tr>
<td>45/44<br />
</td>
<td><a class="wiki_link" href="/45edo">45edo</a><br />
</td>
<td><a class="wiki_link" href="/flattone">flattone</a><br />
</td>
<td>45/44, 81/80, 385/384<br />
</td>
</tr>
<tr>
<td>55/54<br />
</td>
<td><a class="wiki_link" href="/51edo">51edo</a><br />
</td>
<td><a class="wiki_link" href="/porky">porky</a><br />
</td>
<td>55/54, 100/99, 225/224<br />
</td>
</tr>
<tr>
<td>56/55<br />
</td>
<td><a class="wiki_link" href="/36edo">36edo</a><br />
</td>
<td><a class="wiki_link" href="/Pythagorean%20family#Catler temperament">catcall</a><br />
</td>
<td>56/55, 81/80, 128/125<br />
</td>
</tr>
<tr>
<td>245/242<br />
</td>
<td><a class="wiki_link" href="/91edo">91edo</a><br />
</td>
<td><a class="wiki_link" href="/septimin">septimin</a><br />
</td>
<td>225/224, 245/242, 385/384<br />
</td>
</tr>
<tr>
<td>99/98<br />
</td>
<td><a class="wiki_link" href="/127edo">127edo</a><br />
</td>
<td><a class="wiki_link" href="/W%C3%BCrschmidt%20family#Würschmidt">würschmidt</a><br />
</td>
<td>99/98, 176/175, 243/242<br />
</td>
</tr>
<tr>
<td>100/99<br />
</td>
<td><a class="wiki_link" href="/104edo">104edo</a><br />
</td>
<td><a class="wiki_link" href="/magic">magic</a><br />
</td>
<td>100/99, 225/224, 245/243<br />
</td>
</tr>
<tr>
<td>121/120<br />
</td>
<td><a class="wiki_link" href="/99edo">99edo</a><br />
</td>
<td><a class="wiki_link" href="/hitchcock">hitchcock</a><br />
</td>
<td>121/120, 176/175, 2200/2187<br />
</td>
</tr>
<tr>
<td>121/120<br />
</td>
<td><a class="wiki_link" href="/99edo">99edo</a><br />
</td>
<td><a class="wiki_link" href="/W%C3%BCrschmidt%20family#Hemiwürschmidt">hemiwur</a><br />
</td>
<td>121/120, 176/175, 1375/1372<br />
</td>
</tr>
<tr>
<td>176/175<br />
</td>
<td><a class="wiki_link" href="/111edo">111edo</a><br />
</td>
<td><a class="wiki_link" href="/semisept">semisept</a><br />
</td>
<td>176/175, 540/539, 1331/1323<br />
</td>
</tr>
<tr>
<td>896/891<br />
</td>
<td><a class="wiki_link" href="/208edo">208edo</a><br />
</td>
<td><a class="wiki_link" href="/Kleismic%20family#Metakleismic">metakleismic</a><br />
</td>
<td>896/891, 2200/2187, 14700/14641<br />
</td>
</tr>
<tr>
<td>65536/65219<br />
</td>
<td><a class="wiki_link" href="/282edo">282edo</a><br />
</td>
<td><a class="wiki_link" href="/Porwell%20temperaments#Septisuperfourth">septisuperfourth</a><br />
</td>
<td>540/539, 4000/3993, 5632/5625<br />
</td>
</tr>
<tr>
<td>243/242<br />
</td>
<td><a class="wiki_link" href="/202edo">202edo</a><br />
</td>
<td><a class="wiki_link" href="/harry">harry</a><br />
</td>
<td>243/242, 441/440, 4000/3993<br />
</td>
</tr>
<tr>
<td>243/242<br />
</td>
<td><a class="wiki_link" href="/202edo">202edo</a><br />
</td>
<td><a class="wiki_link" href="/Breedsmic%20temperaments#Tertiaseptal">tertiaseptal</a><br />
</td>
<td>243/242, 441/440, 65625/65536<br />
</td>
</tr>
<tr>
<td>3388/3375<br />
</td>
<td><a class="wiki_link" href="/316edo">316edo</a><br />
</td>
<td><a class="wiki_link" href="/Ragismic%20microtemperaments#Semiparakleismic">semiparakleismic</a><br />
</td>
<td>3025/3024, 3136/3125, 4375/4374<br />
</td>
</tr>
<tr>
<td>385/384<br />
</td>
<td><a class="wiki_link" href="/284edo">284edo</a><br />
</td>
<td><a class="wiki_link" href="/quadritikleismic">quadritikleismic</a><br />
</td>
<td>385/384, 1375/1372, 6250/6237<br />
</td>
</tr>
<tr>
<td>441/400<br />
</td>
<td><a class="wiki_link" href="/320edo">320edo</a><br />
</td>
<td><a class="wiki_link" href="/octowerck">octowerck</a><br />
</td>
<td>441/440, 8019/8000, 41503/41472<br />
</td>
</tr>
<tr>
<td>540/539<br />
</td>
<td><a class="wiki_link" href="/578edo">578edo</a><br />
</td>
<td><a class="wiki_link" href="/Schismatic%20family#Pogo">pogo</a><br />
</td>
<td>540/539, 4000/3993, 32805/32768<br />
</td>
</tr>
<tr>
<td>4000/3993<br />
</td>
<td><a class="wiki_link" href="/665edo">665edo</a><br />
</td>
<td><a class="wiki_link" href="/Ragismic%20microtemperaments#Brahmagupta">brahmagupta</a><br />
</td>
<td>4000/3993, 4375/4374, 131072/130977<br />
</td>
</tr>
<tr>
<td>5632/5625<br />
</td>
<td><a class="wiki_link" href="/1092edo">1092edo</a><br />
</td>
<td><a class="wiki_link" href="/Landscape%20microtemperaments#Sextile">sextile</a><br />
</td>
<td>5632/5625, 9801/9800, 151263/151250<br />
</td>
</tr>
<tr>
<td>3025/3024<br />
</td>
<td><a class="wiki_link" href="/2554edo">2554edo</a><br />
</td>
<td><a class="wiki_link" href="/Ragismic%20microtemperaments#Supermajor-Semisupermajor">semisupermajor</a><br />
</td>
<td>3025/3024, 4375/4374, 35156250/35153041<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="x13 limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13 limit</h1>
<table class="wiki_table">
<tr>
<td>Comma<br />
</td>
<td>OPV<br />
</td>
<td>Temperament<br />
</td>
<td>Basis<br />
</td>
</tr>
<tr>
<td>26/25<br />
</td>
<td><a class="wiki_link" href="/12edo">12edo</a><br />
</td>
<td><a class="wiki_link" href="/Augmented%20family#August">augustus</a><br />
</td>
<td>26/25, 36/35, 45/44, 56/55<br />
</td>
</tr>
<tr>
<td>27/26<br />
</td>
<td><a class="wiki_link" href="/35edo">35edo</a><br />
</td>
<td><a class="wiki_link" href="/Avicennmic%20temperaments#Secund">secund</a><br />
</td>
<td>27/26, 45/44, 99/98, 385/384<br />
</td>
</tr>
<tr>
<td>27/26<br />
</td>
<td><a class="wiki_link" href="/35edo">35edo</a><br />
</td>
<td><a class="wiki_link" href="/Greenwoodmic%20temperaments#Greenwood">greenwood</a><br />
</td>
<td>27/26, 45/44, 99/98, 640/637<br />
</td>
</tr>
<tr>
<td>40/39<br />
</td>
<td><a class="wiki_link" href="/15edo">15edo</a><br />
</td>
<td><a class="wiki_link" href="/Archytas%20clan#Blacksmith">blacksmith</a><br />
</td>
<td>28/27, 40/39, 49/48, 55/54<br />
</td>
</tr>
<tr>
<td>65/64<br />
</td>
<td><a class="wiki_link" href="/29edo">29edo</a><br />
</td>
<td><a class="wiki_link" href="/Marvel%20temperaments#Negril">negril</a><br />
</td>
<td>49/48, 65/64, 91/90, 875/858<br />
</td>
</tr>
<tr>
<td>65/64<br />
</td>
<td><a class="wiki_link" href="/29edo">29edo</a><br />
</td>
<td><a class="wiki_link" href="/Porcupine%20family#Coendou">coendou</a><br />
</td>
<td>55/54, 65/64, 100/99, 105/104<br />
</td>
</tr>
<tr>
<td>66/65<br />
</td>
<td><a class="wiki_link" href="/31edo">31edo</a><br />
</td>
<td><a class="wiki_link" href="/Semicomma%20family#Winston">winston</a><br />
</td>
<td>66/65, 99/98, 105/104, 121/120<br />
</td>
</tr>
<tr>
<td>66/65<br />
</td>
<td><a class="wiki_link" href="/31edo">31edo</a><br />
</td>
<td><a class="wiki_link" href="/Meantone%20family#Mohajira-13-limit">mohajira</a><br />
</td>
<td>66/65, 81/80, 105/104, 121/120<br />
</td>
</tr>
<tr>
<td>66/65<br />
</td>
<td><a class="wiki_link" href="/31edo">31edo</a><br />
</td>
<td><a class="wiki_link" href="/Meantone%20family#Squares-13-limit">squares</a><br />
</td>
<td>66/65, 81/80, 99/98, 121/120<br />
</td>
</tr>
<tr>
<td>78/77<br />
</td>
<td><a class="wiki_link" href="/43edo">43edo</a><br />
</td>
<td><a class="wiki_link" href="/Marvel%20temperaments#Amavil">amavil</a><br />
</td>
<td>78/77, 99/98, 144/143, 176/175<br />
</td>
</tr>
<tr>
<td>78/77<br />
</td>
<td><a class="wiki_link" href="/43edo">43edo</a><br />
</td>
<td><a class="wiki_link" href="/Meantone%20family#Jerome">jerome</a><br />
</td>
<td>78/77, 81/80, 99/98, 144/143<br />
</td>
</tr>
<tr>
<td>91/90<br />
</td>
<td><a class="wiki_link" href="/102edo">102edo</a><br />
</td>
<td><a class="wiki_link" href="/Diaschismic%20family#Echidnic">echidnic</a><br />
</td>
<td>91/90, 169/168, 385/384, 441/440<br />
</td>
</tr>
<tr>
<td>105/104<br />
</td>
<td><a class="wiki_link" href="/91edo">91edo</a><br />
</td>
<td><a class="wiki_link" href="/Marvel%20temperaments#Septimin">septimin</a><br />
</td>
<td>105/104, 144/143, 196/195, 245/242<br />
</td>
</tr>
<tr>
<td>275/273<br />
</td>
<td><a class="wiki_link" href="/94edo">94edo</a><br />
</td>
<td><a class="wiki_link" href="/Schismatic%20family#Garibaldi">garibaldi</a><br />
</td>
<td>225/224, 275/273, 325/324, 385/384<br />
</td>
</tr>
<tr>
<td>275/273<br />
</td>
<td><a class="wiki_link" href="/94edo">94edo</a><br />
</td>
<td><a class="wiki_link" href="/Hemifamity%20temperaments#Supers">supers</a><br />
</td>
<td>352/351, 540/539, 729/728, 1575/1573<br />
</td>
</tr>
<tr>
<td>144/143<br />
</td>
<td><a class="wiki_link" href="/84edo">84edo</a><br />
</td>
<td><a class="wiki_link" href="/Marvel%20temperaments#Merman">merman</a><br />
</td>
<td>144/143, 225/224, 364/363, 441/440<br />
</td>
</tr>
<tr>
<td>144/143<br />
</td>
<td><a class="wiki_link" href="/84edo">84edo</a><br />
</td>
<td><a class="wiki_link" href="/Orwellismic%20temperaments">secant</a><br />
</td>
<td>144/143, 351/350, 364/363, 441/440<br />
</td>
</tr>
<tr>
<td>169/168<br />
</td>
<td><a class="wiki_link" href="/152edo">152edo</a><br />
</td>
<td><a class="wiki_link" href="/Ragismic%20microtemperaments#Octoid-Octopus">octopus</a><br />
</td>
<td>169/168, 325/324, 364/363, 540/539<br />
</td>
</tr>
</table>
</body></html>