Optimal patent val

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2014-02-10 16:03:08 UTC.

The original revision id was 488578062.

The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

[[toc|flat]]

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".

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 < 600/N, from which it follows that N < 600/d. Likewise, if e is the absolute value of the error of q in the patent val tuning, then e < 600/N and so N < 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 < 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. 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 Keenan notation are given; this adjusts the nth prime mapping to its second-best value by appending the nth lower-case letter in alphabetical order. Thus, "12f" adjusts a patent val for 12 in the 13-limit or above, for instance <12 19 28 34 42 44|, to <12 19 28 34 42 45| (which is actually a better mapping, and hence more useful for this purpose.)

=5-limit rank two= 
Comma: Optimal patent val: 1000 * badness
16/15: [[8edo]] 14.884
648/625: [[12edo]] 47.231
27/25: [[14edo]] 32.801
25/24: [[17edo]] 13.028
250/243: [[22edo]] 30.778
135/128: [[23edo]] 39.556
128/125: [[39edo]] 22.315
3125/3072: [[60edo]] 39.163
2048/2025: [[80edo]] 19.915
81/80: [[81edo]] 7.381
20000/19683: [[109edo]] 48.518
393216/390625: [[164edo]] 40.603
2109375/2097152: [[296edo]] 40.807
15625/15552: [[458edo]] 13.234;
78732/78125: [[539edo]] 35.220
32805/32768: [[749edo]] 4.259
1600000/1594323: [[873edo]] 21.960
6115295232/6103515625: [[1400edo]] 31.181
1224440064/1220703125: [[1496edo]] 43.729
274877906944/274658203125: [[1559edo]] 20.576
7629394531250/7625597484987: [[3501edo]] 17.191

=7-limit rank two= 
Name: Optimal patent val: Val name: 1000*badness
[[Father family#Pater|Pater]]: [[3edo]] 3&11b 53.001
[[Dicot family#Flat|Flat]]: [[4edo]] 3&4 25.381
[[Trienstonic clan|Father]]: [[5edo]] 3d&5 21.312
[[Archytas clan|Mother]]: [[5edo]] 2&3 24.152
[[Meantone family|Sharptone]]: [[5edo]] 5&7d 24.848
[[Father family#Baba|Baba]]: [[5edo]] 1&5 44.321
[[Father family#Quint|Quint]]: [[5edo]] 5&15cd 48.312
[[Bug family#Mite|Mite]]: [[5edo]] 1cdd&5 54.770
[[Father family#Walid|Walid]]: [[6edo]] 2&6 48.978
[[Dicot family|Dicot]]: [[7edo]] 4&7 19.935
[[Dicot family#Jamesbond|Jamesbond]]: [[7edo]] 7&14c 41.714
[[Septisemi temperaments#Oxygen|Oxygen]]: [[8edo]] 7d&8 59.866
[[Bug family|Beep]]: [[9edo]] 4&5 18.638
[[Mint temperaments#Progression|Progression]]: [[9edo]] 9&17c 48.356
[[Augmented family#Deflated|Deflated]]: [[9edo]] 3&9 59.079
[[Septisemi temperaments#Fluorine|Fluorine]]: [[9edo]] 9&20bd 55.623
[[Dicot family|Sharp]]: [[10edo]] 3d&7d 28.942
[[Dicot family|Decimal]]: [[10edo]] 4&10 28.334
[[Septisemi temperaments#Sodium|Sodium]]: [[11edo]] 4&11 55.814
[[Meantone family|Dominant]]: [[12edo]] 5&7 20.690
[[Jubilismic clan|Diminished]]: [[12edo]] 4&12 22.401
[[Augmented family|August]]: [[12edo]] 9&12 26.459
[[Augmented family#Hexe|Hexe]]: [[12edo]] 6&12 57.730
[[Schismatic family#Schism|Schism]]: [[12edo]] 12&29de 56.648
[[Mint temperaments#Ripple|Ripple]]: [[12edo]] 12&23 59.735
[[Archytas clan|Blacksmith]]: [[15edo]] 5&10 25.640
[[Trienstonic clan|Opossum]]: [[15edo]] 7d&8d 40.650
[[Augmented family#Inflated|Inflated]]: [[15edo]] 15&48bc 54.729
[[Gamelismic clan|Gorgo]]: [[16edo]] 5&16 46.385
[[Pelogic family#Armodue|Armodue]]: [[16edo]] 7&9 49.038
[[Dicot family#Dichotic|Dichotic]]: [[17edo]] 3&7 37.565
[[Trienstonic clan|Octokaidecal]]: [[18edo]] 10&18 36.747
[[Trienstonic clan|Uncle]]: [[18edo]] 5&18 72.653
[[Marvel temperaments|Negri]]: [[19edo]] 1&9 26.483
[[Meantone family|Godzilla]]: [[19edo]] 5&19 26.747
[[Kleismic family|Keemun]]: [[19edo]] 4&15 27.408
[[Trienstonic clan#Wallaby|Wallaby]]: [[19edo|19ccdd]] 2d&5c 58.468
[[Diaschismic family|Pajara]]: [[22edo]] 2&10 20.033
[[Porcupine family#Hedgehog|Hedgehog]]: [[22edo]] 14c&22 43.983
[[Jubilismic clan|Lemba]]: [[26edo]] 10&16 62.208
[[Augmented family#Augene|Augene]]: [[27edo]] 3&12 24.816
[[Augmented family#Niner|Niner]]: [[27edo]] 9&18 67.157
[[Archytas clan|Beatles]]: [[27edo]] 10&27 45.872
[[Porcupine family|Nautilus]]: [[29edo]] 15&29 57.420
[[Meantone family|Mothra]]: [[31edo]] 5&26 37.146
[[Meantone family|Squares]]: [[31edo]] 31&45 45.993
[[Immunity family#Immunity-7-limit|Immunity]]: [[34edo]] 5&29 77.631
[[Meantone family|Injera]]: [[38edo]] 12&26 31.130
[[Augmented family|Triforce]]: [[39edo]] 6&9 54.988
[[Magic family|Magic]]: [[41edo]] 19&41 18.918
[[Gamelismic clan|Superkleismic]]: [[41edo]] 15&26 47.932
[[Keemic temperaments#Quasitemp|Quasitemp]]: [[41edo]] 4&37 60.269
[[Meantone family|Flattone]]: [[45edo]] 7&19 38.553
[[Starling temperaments|Sensi]]: [[46edo]] 19&27 25.622
[[Jubilismic clan|Doublewide]]: [[48edo]] 4&18 43.462
[[Archytas clan|Superpyth]]: [[49edo]] 5&17 32.318
[[Archytas clan|Passion]]: [[49edo]] 12&37 62.327
[[Porcupine family#Porky|Porky]]: [[51edo]] 22&51 54.389
[[Marvel temperaments#Submajor-7-limit|Submajor]]: [[53edo]] 10&33 60.533
[[Meantone family|Liese]]: [[55edo]] 19&55 46.706
[[Sycamore family#Sycamore|Sycamore]]: [[56edo]] 18&19 62.018
[[Diaschismic family|Diaschismic]]: [[58edo]] 12&34 37.914
[[Porcupine family#Porcupine|Porcupine]]: [[59edo]] 7&15 41.057
[[Starling temperaments#Kumonga|Kumonga]]: [[70edo]] 16&27 87.500
[[Gamelismic clan|Miracle]]: [[72edo]] 10&21 16.742
[[Marvel temperaments|Wizard]]: [[72edo]] 22&50 40.846
[[Unicorn family#Alicorn|Alicorn]] [[77edo]] 19&58 40.913
[[Diaschismic family|Bidia]]: [[80edo]] 12&56 56.474
[[Orwellismic temperaments#Quartonic|Quartonic]]: [[80edo]] 26&27 42.632
[[Meantone family|Meantone]]: [[81edo]] 12&19 13.707
[[Starling temperaments|Myna]]: [[89edo]] 4&27 27.044
[[Marvel temperaments|Septimin]]: [[91edo]] 9&32 54.502
[[Schismatic family|Garibaldi]]: [[94edo]] 12&29 21.644
[[Hemimean clan|Misty]]: [[99edo]] 12&87 36.802
[[Starling temperaments|Nusecond]]: [[101edo]] 31&101 50.389
[[Tetracot family|Octacot]]: [[109edo]] 27&41 33.845
[[Hemimean clan|Semisept]]: [[111edo]] 18&31 50.472
[[Hemifamity temperaments|Buzzard]]: [[111edo]] 5&48 47.963
[[Schismatic family#Guiron|Guiron]]: [[118edo]] 36&41 47.544
[[Gamelismic clan|Hemithirds]]: [[118edo]] 25&31 44.284
[[Kleismic family#Hemikleismic|Hemikleismic]]: [[121edo]] 15&38 52.054
[[Mirkwai clan#Pluto|Pluto]]: [[121edo]] 41&80 57.514
[[Marvel temperaments|Tritonic]]: [[122edo]] 2&29 47.578
[[Gravity family#Gravid|Gravid]]: [[123edo]] 58&123 47.283
[[Marvel temperaments|Slender]]: [[125edo]] 1&31 56.934
[[Marvel temperaments#Merman|Merman]]: [[125edo]] 2&41 55.078
[[Gamelismic clan|Rodan]]: [[128edo]] 5&41 37.112
[[Hemimean clan#Subpental|Subpental]]: [[130edo]] 19&111 54.303
[[Semicomma family|Orwell]]: [[137edo]] 9&22 20.375
[[Breedsmic temperaments|Tertiaseptal]]: [[171edo]] 31&109 12.995
[[Breedsmic temperaments#Septidiasemi|Septidiasemi]]: [[171edo]] 10&151 44.115
[[Schismatic family|Pontiac]]: [[171edo]] 53&118 14.133
[[Schismatic family|Tsaharuk]]: [[171edo]] 17&77 30.697
[[Ragismic microtemperaments|Mitonic]]: [[171edo]] 46&125 25.184
[[Mutt family|Mutt]]: [[171edo]] 3&84 28.406
[[Horwell temperaments#Fifthplus|Fifthplus]]: [[171edo]] 22&149 25.840
[[Landscape microtemperaments#Pnict|Pnict]]: [[171edo]] 15&141 45.660
[[Very high accuracy temperaments#Tokko|Tokko]]: [[171edo]] 5&166 44.417
[[Ragismic microtemperaments#Seniority|Seniority]]: [[171edo]] 26&145 44.877
[[Starling temperaments|Valentine]]: [[185edo]] 15&31 31.056
[[Sensipent family#Sensei|Sensei]]: [[187edo]] 19&84 59.218
[[Gamelismic clan|Unidec]]: [[190edo]] 26&46 38.393
[[Kleismic family|Catakleismic]]: [[197edo]] 19&53 21.501
[[Kleismic family|Quadritikleismic]]: [[212edo]] 4&68 39.231
[[Gamelismic clan#Hemiseven|Hemiseven]]: [[221edo]] 5&72 56.557
[[Ragismic microtemperaments|Octoid]]: [[224edo]] 72&152 42.670
[[Pythagorean family|Compton]]: [[228edo]] 12&60 35.686
[[Kleismic family|Tritikleismic]]: [[231edo]] 15&57 56.337
[[Mirkwai clan|Mirkat]]: [[255edo]] 72&183 59.376
[[Breedsmic temperaments|Decoid]]: [[270edo]] 10&120 33.902
[[Ragismic microtemperaments#Acrokleismic|Acrokleismic]] [[270edo]] 19&251 56.184
[[Porwell temperaments#Septisuperfourth|Septisuperfourth]]: [[282edo]] 22&86 59.241
[[Porwell temperaments|Hemischis]]: [[313edo]] 24&53 45.817
[[Würschmidt family|Hemiwürschmidt]]: [[328edo]] 6&31 20.307
[[Breedsmic temperaments|Hemififths]]: [[338edo]] 41&58 22.243
[[Ragismic microtemperaments|Amity]]: [[350edo]] 7&39 23.649
[[Schismatic family|Bischismic]]: [[378edo]] 12&118 54.744
[[Porwell temperaments|Nessafof]]: [[381edo]] 15&69 45.478
[[Hemifamity temperaments#Septiquarter|Septiquarter]]: [[391edo]] 5&94 53.760
[[Ragismic microtemperaments|Parakleismic]]: [[415edo]] 19&80 27.431
[[Ragismic microtemperaments|Gamera]]: [[422edo]] 26&73 37.648
[[Hemimean clan#Sengagen|Sengagen]]: [[446edo]] 49&50 57.978
[[Hemimage temperaments#Chromat|Chromat]]: [[456edo]] 60&99 57.499
[[Kleismic family|Countercata]]: [[473edo]] 34&53 52.128
[[Breedsmic temperaments|Harry]]: [[534edo]] 58&72 34.077
[[Ragismic microtemperaments|Ennealimmal]]: [[612edo]] 27&45 3.610
[[Breedsmic temperaments#Quinmite|Quinmite]]: [[701edo]] 4&95 37.322
[[Ragismic microtemperaments#Semidimfourth|Semidimfourth]]: [[875edo]] 91&99 55.245
[[Breedsmic temperaments|Quasiorwell]]: [[1111edo]] 31&177 35.832
[[Breedsmic temperaments#Amicable|Amicable]]: [[1131edo]] 99&212 45.473
[[Vulture family#Vulture|Vulture]]: [[1133edo]] 53&164 36.985
[[Breedsmic temperaments#Emmthird|Emmthird]] [[1255edo]] 58&113 16.736
[[Landscape microtemperaments#Septichrome|septichrome]] [[1308edo]] 60&111 16.814
[[Schismatic family|Sesquiquartififths]]: [[1498edo]] 41&89 11.244
[[Ragismic microtemperaments#Brahmagupta|Brahmagupta]]: [[1547edo]] 7&217 29.122
[[Breedsmic temperaments#Maviloid|Maviloid]]: [[1614edo]] 76&99 57.632
[[Breedsmic temperaments#Osiris|Osiris]]: [[1696edo]] 157&171 28.307
[[Schismatic family|Term]]: [[1722edo]] 12&159 19.950
[[Gammic family|Neptune]]: [[1778edo]] 35&68 23.427
[[Ragismic microtemperaments|Abigail]]: [[1798edo]] 46&132 37.000
[[Very high accuracy temperaments#Qak|Qak]]: [[1831edo]] 50&121 29.267
[[Ragismic microtemperaments|Enneadecal]]: [[2185edo]] 19&152 10.954
[[Breedsmic temperaments#Newt|Newt]]: [[2201edo]] 41&188 41.878
[[Breedsmic temperaments#Subneutral|Subneutral]]: [[2236edo]] 31&348 45.792
[[Ragismic microtemperaments#Orga|Orga]]: [[2482edo]] 26&244 40.236
[[Ragismic microtemperaments|Supermajor]]: [[6214edo]] 80&171 10.836
[[Ragismic microtemperaments#Semidimi|Semidimi]]: [[8419edo]] 171&863 15.075
[[Minortonic family#Domain|Domain]]: [[22038edo]] 171&1164 13.979

=7-limit rank three= 
Comma: Optimal patent val: 10^6 * badness
36/35: [[12edo]] 63.675
49/48: [[19edo]] 115.514
875/864: [[41edo]] 212.413
525/512: [[45edo]] 476.454
686/675: [[46edo]] 320.094
50/49: [[48edo]] 127.208
64/63: [[49edo]] 98.719
1029/1000: [[55edo]] 678.164
3125/3087: [[94edo]] 613.731
1728/1715: [[111edo]] 187.341
2430/2401: [[137edo]] 518.625
65625/65536: [[171edo]] 172.601
126/125: [[185edo]] 69.867
1029/1024: [[190edo]] 176.105
225/224: [[197edo]] 36.517
4000/3969: [[215edo]] 215.550
16875/16807: [[224edo]] 341.931
245/243: [[283edo]] 121.191
6144/6125: [[381edo]] 142.375
5120/5103: [[391edo]] 153.052
3136/3125: [[446edo]] 160.039
19683/19600: [[587edo]] 300.987
10976/10935: [[695edo]] 199.139
703125/702464: [[2185edo]] 149.828
2401/2400: [[2749edo]] 15.288
420175/419904: [[4306edo]] 86.449
4375/4374: [[8419edo]] 11.665
250047/250000: [[12555edo]] 21.301
78125000/78121827: [[101654edo]] 20.457

=11-limit rank two= 
Name: Optimal patent val: Val name: 1000*badness
[[Archytas clan#Fervor|Fervor]]: [[2edo]] 2&27e 52.054
[[Dicot family#Decimal|Decimated]]: [[4edo]] 4&10e 31.456
[[Starling temperaments#Myna%20temperament-Coleto|Coleto]]: [[4edo]] 4&27e 48.687
[[Meantone family#Godzilla-Semafour|Semafour]]: [[5edo]] 5&14c 28.510
[[Meantone family#Maqamic|Maqamic]]: [[7edo]] 7&10c 40.240
[[Meantone family#Dominant-Arnold|Arnold]]: [[7edo]] 5&7 26.141
[[Porcupine family#Hystrix|Hystrix]]: [[7edo]] 7&15d 44.944
[[Dicot family#Dicot|Dicot]]: [[7edo]] 4e&7 19.854
[[Dicot family#Jamesbond|Jamesbond]]: [[7edo]] 7&14c 23.524
[[Tetracot family#Modus|Modus]]: [[7edo]] 7&27e 35.149
[[Meantone family#Ptolemy|Ptolemy]]: [[7edo]] 7&38d 58.785
[[Marvel temperaments|Negric]]: [[9edo]] 1&9 30.617
[[Mint temperaments#Progression|Progression]]: [[9edo]] 8d&9 26.050
[[Pelogic family#Superpelog-11-limit|Superpelog]]: [[9edo]] 9&14c 28.535
[[Trienstonic clan#Octokaidecal|Octokaidecal]]: [[10edo]] 10&18e 30.235
[[Dicot family#Decimal|Decimal]]: [[10edo]] 10&14c 26.712
[[Dicot family#Sharp|Sharp]]: [[10edo]] 10&17d 22.366
[[Archytas clan#Beatles|Ringo]]: [[10edo]] 10&17c 32.863
[[Dicot family#Dichotic|Dichosis]]: [[10edo]] 3&10 41.361
[[Dicot family#Decimal|Decibel]]: [[10edo]] 4&6 32.385
[[Jubilismic clan|Diminished]]: [[12edo]] 4&12 22.132
[[Diaschismic family#Pajara-Pajaric|Pajaric]]: [[12edo]] 2&10 23.798
[[Meantone family#Dominant-11-limit|Dominant]]: [[12edo]] 5&12 24.180
[[Meantone family#Dominant-Domineering|Domineering]]: [[12edo]] 7&12 21.978
[[Meantone family#Injera-Lahoh|Lahoh]]: [[12edo]] 12&14ce 43.062
[[Jubilismic clan#Duodecim|Duodecim]]: [[12edo]] 12&24d 30.536
[[Schismatic family#Schism|Schism]]: [[12edo]] 12&41d 37.482
[[Meantone family#Injera-Injerous|Injerous]]: [[12edo]] 12e&14c 38.577
[[Augmented family#Hexe-11-limit|Hexe]]: [[12edo]] 6&12 38.412
[[Mint temperaments#Ripple|Ripple]]: [[12edo]] 1ce&12 38.811
[[Mint temperaments#Smate|Smate]]: [[14edo]] 14&17c 42.518
[[Trienstonic clan|Opossum]]: [[15edo]] 7d&8d 22.325
[[Trienstonic clan#Kangaroo|Kangaroo]]: [[15edo]] 2cde&15 43.195
[[Augmented family#x-Augene-11-limit|Augene]]: [[15edo]] 3&12 19.613
[[Archytas clan#Progress|Progress]]: [[15edo]] 2&13 31.036
[[Kleismic family#Keemun|Darjeeling]]: [[15edo]] 15&19e 27.648
[[Archytas clan#Blacksmith|Ferrier]]: [[15edo]] 5e&15 29.200
[[Augmented family#Inflated|Inflated]]: [[15edo]] 15&48bce 31.171
[[Pelogic family#Armodue|Armodue]]: [[16edo]] 7&9 27.211
[[Pelogic family#Bipelog-11-limit|Bipelog]]: [[16edo]] 2&16 35.694
[[Dicot family#Dichotic|Dichotic]]: [[17edo]] 7&10 30.680
[[Dicot family#Sidi|Sidi]]: [[17edo]] 14c&17 32.957
[[Meantone family#Dominant-Domination|Domination]]: [[17edo|17c]] 5e&12e 36.562
[[Marvel temperaments|Negri]]: [[19edo]] 9&10 26.190
[[Meantone family#Septimal%20meantone-Meanenneadecal|Meanenneadecal]]: [[19edo]] 12&19 21.182
[[Meantone family#Flattone-11-limit|Flattone]] [[19edo]] 7&19 33.839
[[Meantone family#Godzilla-11-limit|Godzilla]]: [[19edo]] 14c&19 28.947
[[Meantone family#Undevigintone|Undevigintone]]: [[19edo]] 19&38d 36.387
[[Meantone family#Septimal%20meantone-Meanundeci|Meanundeci]]: [[19edo|19e]] 12e&19e 31.539
[[Meantone family#Liese-Lisa|Lisa]]: [[19edo]] 2cde&19 54.829
[[Magic family#Magic-Horcrux|Horcrux]]: [[19edo]] 19&60e 39.282
[[Magic family#Spell-11-limit|Spell]]: [[19edo]] 6&19 59.791
[[Unicorn family#Rhinoceros|Rhinoceros]]: [[19edo]] 1ce&19 59.319
[[Marvel temperaments#Triton-11-limit|Triton]]: [[19edo]] 2&19 45.675
[[Kleismic family#Keemun-Qeema|Qeema]]: [[19edo]] 4e&19 40.056
[[Kleismic family#Cataleptic|Cataleptic]]: [[19edo]] 19&34d 44.335
[[Augmented family#Oodako-11-limit|Oodako]]: [[21edo]] 6&21 59.192
[[Diaschismic family#Pajara|Pajara]]: [[22edo]] 12&22 20.343
[[Diaschismic family#Pajara|Pajarous]]: [[22edo]] 10&22 28.349
[[Magic family#Magic-Telepathy|Telepathy]]: [[22edo]] 19e&22 27.109
[[Porcupine family#Hedgehog|Hedgehog]]: [[22edo]] 14c&22 23.095
[[Porcupine family#Ceratitid|Ceratitid]]: [[22edo]] 1ce&22 51.319
[[Jubilismic clan#Vigintiduo|Vigintiduo]]: [[22edo]] 22&66de 48.372
[[Magic family#Astrology-11-limit|Astrology]]: [[22edo]] 22&60de 39.151
[[Magic family#Divination|Divination]]: [[22edo]] 22&38d 35.864
[[Jubilismic clan#Doublewide-Fleetwood|Fleetwood]]: [[22edo]] 22&26e 35.202
[[Archytas clan#Quasisuper|Quasisupra]]: [[22edo]] 17c&22 32.203
[[Comic family#Comic-11-limit|Comic]]: [[22edo]] 2cde&22 45.052
[[Diaschismic family#Pajara-Hemipaj|Hemipaj]]: [[22edo]] 2&20 38.890
[[Meantone family#Mohamaq-11-limit|Mohamaq]]: [[24edo]] 17c&24 36.207
[[Meantone family#Godzilla-Baragon|Baragon]]: [[24edo]] 5&19 35.673
[[Meantone family#Godzilla-Varan|Varan]]: [[24edo]] 19e&24 39.647
[[Augmented family#Hemiaug|Hemiaug]]: [[24edo]] 24&27e 38.232
[[Dimipent family#Hemidim|Hemidim]]: [[24edo]] 4e&24 56.576
[[Dimipent family#Semidim|Semidim]]: [[24edo]] 24&32c 30.597
[[Meantone family#Injera-11-limit|Injera]]: [[26edo]] 12&26 23.124
[[Jubilismic clan#Lemba-11-limit|Lemba]]: [[26edo]] 10&16 41.563
[[Avicennmic temperaments#Secund|Secund]]: [[26edo]] 9&17 42.562
[[Jubilismic clan#Crepuscular-11-limit|Crepuscular]]: [[26edo]] 26&34d 40.758
[[Orwellismic temperaments#Quartonic-Quarto|Quarto]]: [[26edo]] 26&27e 41.786
[[Meantone family#Mothra-Cynder|Cynder]]: [[26edo]] 5e&26 55.706
[[Jubilismic clan#Doublewide-Cavalier|Cavalier]]: [[26edo]] 4e&26 52.899
[[Sensipent family#Sensi-Sensa|Sensa]]: [[27edo]] 19e&27 36.835
[[Jubilismic clan#Diminished-Demolished|Demolished]]: [[28edo]] 12&28 26.574
[[Porcupine family|Nautilus]]: [[29edo]] 15&29 26.023
[[Marvel temperaments|Negril]]: [[29edo]] 19&29 38.679
[[Marvel temperaments#Negroni|Negroni]]: [[29edo]] 10&29 35.296
[[Porcupine family#Coendou|Coendou]]: [[29edo]] 7&29 49.669
[[Slendro clan#Wilsec|Wilsec]]: [[29edo]] 9&20 41.886
[[Immunity family#Immunity-Impunity|Impunity]]: [[29edo]] 5e&29 55.243
[[mmunity family#Immunity-11-limit|Immunity]]: [[29edo]] 5&29 52.661
[[Meantone family|Mohajira]]: [[31edo]] 7&24 26.064
[[Meantone family|Squares]]: [[31edo]] 31&45e 21.636
[[Meantone family#Cuboctahedra|Cuboctahedra]]: [[31edo]] 31&45 56.826
[[Meantone family#Migration|Migration]]: [[31edo]] 31&100de 25.516
[[Marvel temperaments|Tritonic]]: [[31edo]] 2&29 23.659
[[Starling temperaments|Casablanca]]: [[31edo]] 31&42 67.291
[[Starling temperaments#Myna%20temperament-Myno|Myno]]: [[31edo]] 4&27 33.434
[[Starling temperaments#Cypress-11-limit|Cypress]]: [[31edo]] 20cde&31 42.719
[[Gamelismic clan#Miracle|Revelation]]: [[31edo]] 21&31 32.946
[[Orwellismic temperaments#Diesic-11-limit|Diesic]]: [[31edo]] 1ce&31 44.186
[[Mint temperaments#Slurpee|Slurpee]]: [[33edo]] 16&33 50.514
[[Kleismic family|Keemun]]: [[34edo]] 4&15 27.410
[[Tetracot family#Wollemia|Wollemia]]: [[34edo]] 27e&34 37.551
[[Diaschismic family#Anguirus-11-limit|Anguirus]]: [[34edo]] 10&24 49.253
[[Magic family#Muggles-11-limit|Muggles]]: [[35edo]] 16&19 48.038
[[Greenwoodmic temperaments#Greenwood|Greenwood]]: [[35edo]] 21&35 57.471
[[Meantone family#Liese-Liesel|Liesel]]: [[36edo]] 19&36 40.721
[[Meantone family#Liese-Elisa|Elisa]]: [[36edo|36e]] 19e&36e 41.592
[[Pythagorean family#Catler%20temperament-Catcall|Catcall]]: [[36edo]] 12&24 34.478
[[Augmented family#Niner|Niner]]: [[36edo]] 9&36 34.861
[[Archytas clan#Beatles|Beatles]]: [[37edo]] 27e&37 45.639
[[Augmented family|Triforce]]: [[39edo]] 6&9 20.248
[[Schismatic family|Cassandra]]: [[41edo]] 12&29 23.556
[[Gamelismic clan|Superkleismic]]: [[41edo]] 15&26 25.659
[[Gamelismic clan#Miracle-Hemimiracle|Hemimiracle]]: [[41edo]] 20&21 59.232
[[Tetracot family#Monkey|Monkey]]: [[41edo]] 7&34 38.836
[[Tetracot family#Bunya|Bunya]]: [[41edo]] 7d&41 31.332
[[Magic family#Hocus|Hocus]]: [[41edo]] 38d&41 38.519
[[Magic family#Witchcraft|Witchcraft]]: [[41edo]] 41&60e 30.706
[[Magic family#Trismegistus-11-limit|Trismegistus]]: [[41edo]] 16&41 45.623
[[Sensamagic clan#Salsa|Salsa]]: [[41edo]] 17&24 39.444
[[Gamelismic clan#Rodan|Varan]]: [[41edo]] 41&46e 44.937
[[Sensamagic clan#Bohpier|Bohpier]]: [[41edo]] 41&49 33.949
[[Tetracot family#Octacot|Octacot]]: [[41edo]] 27e&41 24.078
[[Keemic temperaments#Quasitemp|Quato]]: [[41edo]] 4e&41 41.170
[[Mirkwai clan#Pluto-Plutino|Plutino]]: [[41edo]] 2cde&41 57.966
[[Augmented family#Augene|Eugene]]: [[42edo]] 15&27 35.554
[[Marvel temperaments#Amavil|Amavil]]: [[43edo]] 9&43 42.649
[[Starling temperaments#Kumonga-11-limit|Kumonga]]: [[43edo]] 16&43 43.336
[[Meantone family#Flattone-11-limit|Flattone]]: [[45edo]] 7&19 33.839
[[Starling temperaments|Sensor]]: [[46edo]] 19&27 37.942
[[Starling temperaments|Sensus]]: [[46edo]] 46&73 29.486
[[Hemifamity temperaments|Leapday]]: [[46edo]] 29&46 38.624
[[Porwell temperaments|Twothirdtonic]]: [[46edo]] 9&37 40.768
[[Gamelismic clan#Rodan-Aerodino|Aerodino]]: [[46edo]] 5e&46 54.294
[[Amity family#Bamity|Bamity]]: [[46edo]] 14c&46 35.504
[[Ragismic microtemperaments#Amity-Accord-11-limit|Accord]]: [[46edo]] 7d&46 42.468
[[Jubilismic clan|Doublewide]]: [[48edo]] 4&18 32.058
[[Archytas clan|Superpyth]]: [[49edo]] 22&49 24.976
[[Archytas clan#Passion|Passion]]: [[49edo]] 12&37 40.809
[[Kleismic family#Catalan-11-limit|Catalan]]: [[49edo]] 15&49 36.894
[[Porcupine family#Porky|Porky]]: [[51edo]] 22&51 27.268
[[Semicomma family|Orwell]]: [[53edo]] 9&22 15.231
[[Hemifamity temperaments#Tricot|Tricot]]: [[53edo]] 53&70 56.134
[[Kleismic family#Cataclysmic|Cataclysmic]]: [[53edo]] 53&140d 39.954
[[Amity family#Hamity|Hamity]]: [[53edo]] 14c&53 42.947
[[Kleismic family#Kleiboh-11-limit|Kleiboh]]: [[53edo]] 49&53 52.805
[[Maja family#Maja-11-limit|Maja]]: [[53edo]] 45e&53 49.991
[[Schismatic family#Garibaldi-Helenus|Helenus]]: [[53edo]] 12&53 35.637
[[Schismatic family#Hemigari|Hemigari]]: [[53edo]] 29&53 50.681
[[Orwellismic temperaments#Quartonic-Quartz|Quartz]]: [[53edo]] 26&53 53.285
[[Sycamore family#Sycamore|Sycamore]]: [[56edo]] 18&19 55.940
[[Diaschismic family|Diaschismic]]: [[58edo]] 12&46 25.034
[[Breedsmic temperaments|Hemififths]]: [[58edo]] 41&58 23.498
[[Starling temperaments#Thuja-11-limit|Thuja]]: [[58edo]] 15&43 33.078
[[Unicorn family#Alicorn|Alicorn]]: [[58edo]] 19&58 39.156
[[Orwellismic temperaments#Secant-11-limit|Secant]]: [[58edo]] 26&58 46.373
[[Orwellismic temperaments#Infraorwell-11-limit|Infraorwell]]: [[58edo]] 9&49 40.721
[[Diaschismic family#Sruti|Sruti]]: [[58edo]] 24&58 41.459
[[Unicorn family#Qilin|Qilin]]: [[58edo]] 58&77 41.426
[[Porcupine family|Porcupine]]: [[59edo]] 7&15 21.562
[[Würschmidt family#Worschmidt|Worschmidt]]: [[65edo]] 31&65 33.436
[[Sensipent family#Hemisensi|Hemisensi]]: [[65edo]] 27e&65 48.714
[[Porcupine family#Ammonite|Ammonite]]: [[66edo]] 29&37 45.694
[[Kleismic family#Hemikleismic|Hemikleismic]]: [[68edo]] 15&38 38.023
[[Gamelismic clan|Miracle]]: [[72edo]] 10&31 10.684
[[Kleismic family|Catakleismic]]: [[72edo]] 19&53 21.849
[[Pythagorean family|Compton]]: [[72edo]] 12&72 22.235
[[Pythagorean family#Hours|Hours]]: [[72edo]] 24&48 36.248
[[Kleismic family#Bikleismic|Bikleismic]]: [[72edo]] 72&106 29.319
[[Ragismic microtemperaments#Ennealimmal-Ennealimnic|Ennealimnic]]: [[72edo]] 27e&72 20.697
[[Ragismic microtemperaments#Ennealimmal-Ennealiminal|Ennealiminal]]: [[72edo]] 27&45 31.123
[[Marvel temperaments#Marvolo|Marvolo]]: [[72edo]] 29&43 28.965
[[Kleismic family#Catalytic|Catalytic]]: [[72edo]] 53e&72 30.422
[[Marvel temperaments#Enneaportent|Enneaportent]]: [[72edo]] 9&54 30.426
[[Starling temperaments#Casablanca%20temperament-Marrakesh|Marrakesh]]: [[73edo]] 31&73 40.539
[[Starling temperaments|Valentine]]: [[77edo]] 15&31 16.687
[[Unicorn family#Alicorn|Camahueto]] [[77edo]] 19&77 65.940
[[Diaschismic family|Keen]]: [[78edo]] 22&56 45.270
[[Orwellismic temperaments#Sentinel-11-limit|Sentinel]]: [[79edo]] 14&17 39.595
[[Diaschismic family|Echidna]]: [[80edo]] 22&58 25.987
[[Ragismic microtemperaments#Parakleismic-Paradigmic|Paradigmic]]: [[80edo]] 19&80 41.720
[[Diaschismic family|Bidia]]: [[80edo]] 12&68 40.191
[[Orwellismic temperaments#Quartonic-11-limit|Quartonic]]: [[80edo]] 53&80 34.031
[[Meantone family|Meanpop]]: [[81edo]] 19&31 21.543
[[Semicomma family#Newspeak|Newspeak]]: [[81edo]] 31&84 31.438
[[Marvel temperaments#Merman-11-limit|Merman]]: [[84edo]] 2&41 36.383
[[Gamelismic clan|Rodan]]: [[87edo]] 5&41 23.093
[[Kleismic family#Clyde|Clyde]]: [[87edo]] 19&68 47.41686
[[Misty family#Misty|Misty]]: [[87edo]] 12&87 35.932
[[Hemimean clan#Emka-11-limit|Emka]]: [[87edo]] 37&50 54.744
[[Meantone family|Mothra]]: [[88edo]] 5&26 25.642
[[Starling temperaments|Myna]]: [[89edo]] 31&58 16.842
[[Marvel temperaments|Septimin]]: [[91edo]] 9&32 31.309
[[31 comma temperaments#Prajapati|Prajapati]]: [[93edo]] 31&93 42.959
[[Schismatic family|Garibaldi]]: [[94edo]] 41&53 27.396
[[Sensamagic clan#Magus|Magus]]: [[95edo]] 46&95 45.108
[[Marvel temperaments#Submajor-Interpental|Interpental]]: [[96edo]] 43&53 51.806
[[Ragismic microtemperaments|Hitchcock]]: [[99edo]] 7&39 35.187
[[Würschmidt family#Hemiw%FCrschmidt|Hemiwur]]: [[99edo]] 6&31 29.270
[[Porwell temperaments#Hendecatonic|Hendecatonic]]: [[99edo]] 22&55 46.088
[[Starling temperaments|Nusecond]]: [[101edo]] 31&101 25.621
[[Magic family|Magic]]: [[104edo]] 19&22 25.621
[[Meantone family|Meantone]]: [[105edo]] 12&31 17.027
[[Starling temperaments#Bisemidim-11-limit|Bisemidim]]: [[108edo]] 50&58 41.190
[[Hemifamity temperaments|Buzzard]]: [[111edo]] 53&58 34.484
[[Diaschismic family|Shrutar]]: [[114edo]] 22&46 26.489
[[Marvel temperaments#Submajor-11-limit|Submajor]]: [[116edo]] 10&53 50.582
[[Gamelismic clan|Hemithirds]]: [[118edo]] 31&87 19.003
[[Ragismic microtemperaments|Parakleismic]]: [[118edo]] 19&99 49.711
[[Keemic temperaments#Quasitemp|Quasitemp]]: [[119edo]] 4&37 43.209
[[Mirkwai clan#Pluto|Pluto]]: [[121edo]] 41&80 29.844
[[Marvel temperaments|Tritoni]]: [[122edo]] 31&91 45.456
[[Marvel temperaments|Slender]]: [[125edo]] 31&63 25.342
[[Diaschismic family#Srutal-11-limit|Srutal]]: [[126edo]] 46&80 35.315
[[Würschmidt family#W%FCrschmidt|Würschmidt]]: [[127edo]] 31&96 24.413
[[Meantone family#Mothra-Mosura|Mosura]]: [[129edo]] 31&129 31.334
[[Würschmidt family|Hemiwürschmidt]]: [[130edo]] 31&130 21.069
[[Schismatic family#Sesquiquartififths|Sesquart]]: [[130edo]] 41&89 29.306
[[11-limit comma temperaments#Bosonic|Bosonic]]: [[130edo]] 26&130 65.219
[[Semicomma family#Borwell|Borwell]]: [[137edo]] 31&106 38.377
[[Breedsmic temperaments#Tertiaseptal|Tertia]]: [[140edo]] 31&109 30.171
[[Hemifamity temperaments#Ketchup-11-limit|Ketchup]]: [[140edo]] 46&94 39.555
[[Hemifamity temperaments|Mystery]]: [[145edo]] 29&58 34.291
[[Diaschismic family|Echidnic]]: [[148edo]] 10&46 45.127
[[Sensipent family|Heinz]]: [[149edo]] 46&103 42.412
[[Gamelismic clan#Hemiseven|Hemiseven]]: [[149edo]] 5&72 28.467
[[Mirkwai clan|Grendel]]: [[152edo]] 31&121 19.845
[[Mirkwai clan|Kwai]]: [[152edo]] 41&111 26.219
[[Hemifamity temperaments#Supers|Supers]]: [[152edo]] 58&94 28.240
[[Ragismic microtemperaments#Amity-11-limit|Amity]]: [[152edo]] 53&152 31.506
[[Porwell temperaments#Whoops|Whoops]]: [[152edo]] 15&137 43.743
[[Unicorn family#Alicorn|Monocerus]]: [[154edo]] 58&154 52.757
[[Schismatic family|Guiron]]: [[159edo]] 41&77 26.648
[[Marvel temperaments|Wizard]]: [[166edo]] 22&50 18.539
[[Ragismic microtemperaments#Parakleismic-Parkleismic|Parkleismic]]: [[179edo]] 80&179 55.844
[[Gamelismic clan|Unidec]]: [[190edo]] 26&46 15.479
[[Semicomma family#Triwell-11-limit|Triwell]]: [[190edo]] 31&97 29.807
[[Breedsmic temperaments#Semihemi|Semihemi]]: [[198edo]] 58&140 42.487
[[Breedsmic temperaments|Harry]]: [[202edo]] 58&72 15.867
[[Breedsmic temperaments|Tertiaseptal]]: [[202edo]] 31&171 35.576
[[Kleismic family#Metakleismic|Metakleismic]]: [[208edo]] 87&121 48.570
[[Marvel temperaments#Marvo|Marvo]]: [[209edo]] 72&137 26.882
[[Schismatic family#Kleischismic|Kleischismic]]: [[212edo]] 24&94 36.749
[[Hemimean clan#Arch|Arch]]: [[217edo]] 43&87 36.541
[[Ragismic microtemperaments|Octoid]]: [[224edo]] 72&152 14.097
[[Schismatic family#Quanharuk|Quanharuk]]: [[224edo]] 41&142 31.549
[[Kleismic family|Countercata]]: [[227edo]] 34&53 39.770
[[Kleismic family|Tritikleismic]]: [[231edo]] 15&57 19.333
[[Hemimean clan#Subpental|Subpental]]: [[241edo]] 19&111 45.352
[[Ragismic microtemperaments#Ennealimmal|Ennealimnic]]: [[243edo]] 72&171 20.347
[[Schismatic family|Bischismic]]: [[248edo]] 12&118 28.160
[[31 comma temperaments#Birds|Birds]]: [[248edo]] 31&217 39.921
[[Quince clan#Essence|Essence]]: [[248edo]] 58&190 46.447
[[Mirkwai clan|Mirkat]]: [[255edo]] 72&183 22.126
[[Kleismic family|Sqrtphi]]: [[265edo]] 49&72 25.515
[[Breedsmic temperaments|Quasiorwell]]: [[270edo]] 31&208 17.540
[[Ragismic microtemperaments#Acrokleismic-Counteracro|Counteracro]]: [[270edo]] 270&1061e 42.572
[[Marvel temperaments|Marvo]]: [[281edo]] 72&281 31.685
[[Porwell temperaments#Septisuperfourth|Septisuperfourth]]: [[282edo]] 22&86 24.619
[[Sensamagic clan|Sensa]]: [[283edo]] 22&65 35.844
[[Kleismic family|Quadritikleismic]]: [[284edo]] 4&68 23.406
[[Ragismic microtemperaments#Quincy|Quincy]]: [[289edo]] 72&217 30.875
[[Hemimage temperaments#Commatic|Commatic]]: [[294edo]] 58&118 30.461
[[Breedsmic temperaments#Neominor|Neominor]]: [[305edo]] 72&161 27.958
[[Breedsmic temperaments#Unthirds|Unthirds]]: [[311edo]] 72&167 22.926
[[Porwell temperaments|Hemischis]]: [[313edo]] 53&130 36.289
[[Ragismic microtemperaments#Semiparakleismic|Semiparakleismic]]: [[316edo]] 80&118 34.208
[[Werckismic temperaments#Octowerck|Octowerck]]: [[320edo]] 72&176 30.159
[[Breedsmic temperaments#Hemitert|Hemitert]]: [[342edo]] 31&280 15.633
[[Ragismic microtemperaments|Hemiamity]]: [[350edo]] 46&106 31.307
[[Hemimage temperaments#Degrees|Degrees]]: [[360edo]] 80&140 46.770
[[Stearnsmic temperaments|Stearnscape]]: [[354edo]] 72&282 32.096
[[Ragismic microtemperaments#Neusec-13-limit|Neusec]]: [[388edo]] 190&388 59.127
[[Hemifamity temperaments#Alphaquarter|Alphaquarter]]: [[391edo]] 87&152 29.638
[[Kleismic family#Novemkleismic|Novemkleismic]]: [[405edo]] 72&261 51.730
[[Mirkwai clan#Subsemifourth|Subsemifourth]]: [[407edo]] 49&103 34.276
[[Ragismic microtemperaments|Semiennealimmal]]: [[441edo]] 72&441 34.196
[[Horwell temperaments#Emkay|Emkay]]: [[535edo]] 87&137 35.586
[[Schismatic family#Pogo|Pogo]]: [[578edo]] 36&94 31.857
[[Ragismic microtemperaments#Quatracot-11-limit|Quatracot]]: [[638edo]] 190&224 41.043
[[Ragismic microtemperaments#Gamera-Hemigamera|Hemigamera]]: [[646edo]] 26&198 40.955
[[Ragismic microtemperaments#Brahmagupta|Brahmagupta]]: [[665edo]] 7&217 52.190
[[Mirkwai clan#Eris|Eris]]: [[703edo]] 31&193 27.621
[[Ragismic microtemperaments|Abigail]]: [[764edo]] 46&132 12.860
[[Landscape microtemperaments#Sextile|Sextile]]: [[1092edo]] 12&270 29.677
[[Ragismic microtemperaments#Orga-11-limit|Orga]]: [[1106edo]] 26&244 16.188
[[Schismatic family#Octant-11-limit|Octant]]: [[1168edo]] 24&224 44.778
[[Breedsmic temperaments|Decoid]]: [[1210edo]] 130&270 18.735
[[Ragismic microtemperaments|Deca]]: [[1270edo]] 80&190 24.329
[[Ragismic microtemperaments#Ennealimmal-Trinealimmal|Trinealimmal]]: [[1323edo]] 27&243 29.812
[[Ragismic microtemperaments#Quasithird-11-limit|Quasithird]]: [[1448edo]] 164&224 21.125
[[Schismatic family#Sesquiquartififths-Bisesqui|Bisesqui]]: [[1498edo]] 130&212 16.968
[[Vishnuzmic family#Vishnu|Vishnu]]: [[1502edo]] 118&152 14.180
[[Ragismic microtemperaments|Hemiennealimmal]]: [[1566edo]] 72&198 6.283
[[Ragismic microtemperaments#Acrokleismic-11-limit|Acrokleismic]]: [[1639edo]] 19&251 36.878
[[Ragismic microtemperaments#Ennealimmal-Quadraennealimmal|Quadraennealimmal]]: [[1737edo]] 342&1053 21.320
[[Breedsmic temperaments#Newt|Newt]]: [[1972edo]] 41&188 19.461
[[Ragismic microtemperaments#Supermajor-Semisupermajor|Semisupermajor]]: [[2554edo]] 80&342 12.773

=11-limit rank three= 
Name: Optimal patent val: Val name: 10^5 * badness
[[Archytas family|Vulcan]]: [[15edo]] 2&3&10 57.7113
[[Marvel family|Potassium]]: [[19edo]] 2&9&10 46.3665
[[Mint family|Nickel]]: [[28edo]] 7&9&12 46.3463
[[Jubilismic family|Festival]]: [[26edo]] 2&10&26 68.8510
[[Starling family|Thrasher]]: [[34edo]] 3&4&12 48.0188
[[Semaphore family|Selenium]]: [[34edo]] 4&5&10 66.5377
[[Didymus rank three family|Calliope]]: [[45edo]] 7&12&19 52.9778
[[Jubilismic family|Jubilee]]: [[48edo]] 4&12&22 55.9842
[[Archytas family|Ares]]: [[49edo]] 3&7&12 46.8874
[[Porcupine rank three family|Sonic]]: [[51edo]] 7&15&51 52.3158
[[Nuwell family|Big Brother]]: [[53edo]] 9&22&70 50.6556
[[Orwellismic family#Orwellian|Orwellian]]: [[53edo]] 4&5&17 71.513
[[Marvel family|Prodigy]]: [[72edo]] 2&10&29 33.4745
[[Mirwomo family|Mirwomo]]: [[72edo]] 7&10&24 64.0943
[[Gamelismic family#Gamel|Gamel]]: [[72edo]] 5e&31&72 85.266
[[Starling family#Oxpecker|Oxpecker]]: [[77edo]] 8d&15&31 69.945
[[Starling family#x7-limit%20starling-11-limit|Starling]]: [[77edo]] 4&15&27 67.680
[[Diaschismic family#Srutal-13-limit|Srutal]]: [[80edo]] 46&80 25.286
[[Didymus rank three family|Erato]]: [[81edo]] 12&19&31 55.7521
[[Sensamagic family#Sensawer|Sensawer]]: [[87edo]] 41&46&73 79.632
[[Didymus rank three family|Euterpe]]: [[88edo]] 5&12&26 53.5809
[[Starling family|Thrush]]: [[89edo]] 3&12&31 35.2591
[[Starling family|Aplonis]]: [[89edo]] 19&31&58 64.7511
[[Valinorismic temperaments#Mandos|Mandos]]: [[89edo]] 7&24&58 75.1090
[[Marvel family#Malcolm|Malcolm]]: [[94edo]] 19e&41&53 124.957
[[Sensamagic family#Shrusus|Shrusus]]: [[95edo]] 22&46&95 87.6795
[[Porwell family|Zeus]]: [[99edo]] 6&7&9 39.9882
[[Marvel family|Apollo]]: [[104edo]] 12&19&22 52.9766
[[Keemic family#Supermagic|Supermagic]]: [[104edo]] 4&7&15 64.0789
[[Keemic family#Supernatural|Supernatural]]: [[104edo]] 19&22&82e 88.8164
[[Sensamagic family#Octarod|Octarod]]: [[104edo]] 19&22&49 58.0664
[[Orwellismic family|Guanyin]]: [[111edo]] 9&22&58 41.1252
[[Valinorismic temperaments#Manwe|Manwe]]: [[111edo]] 15&31&80 67.9150
[[Sensamagic family#Bisector|Bisector ]]: [[114edo]] 14c&22&46 108.9026
[[Horwell family#Zelda|Zelda]]: [[118edo]] 9&22&87 64.1882
[[Valinorismic temperaments#Varda|Varda]]: [[126edo]] 12&22&46 72.8125
[[Marvel family|Minerva]]: [[127edo]] 1&9&12 38.1064
[[Didymus rank three family|Clio]]: [[129edo]] 7&12&24 73.7590
[[Hemifamity family|Pele]]: [[145edo]] 5&12&29 64.8199
[[Hemifamity family|Laka]]: [[152edo]] 41&53&58 82.5317
[[Marvel family|Marvel]]: [[166edo]] 9&10&22 25.5033
[[Marvel family#Fantastic|Fantastic]]: [[166edo]] 12&22&50 74.3439
[[Gamelismic family|Portent]]: [[190edo]] 5&10&26 23.4092
[[Breed family|Jove]]: [[202edo]] 10&31&58 24.1055
[[Tolermic family|Tolerant]]: [[208edo]] 5&41&80 103.923
[[Hemimean family#Belobog|Belobog]]: [[248edo]] 12&31&87 60.9402
[[Marvel family|Spectacle]]: [[281edo]] 10&31&281 49.8669
[[Porwell family|Jupiter]]: [[282edo]] 9&22&108 56.2368
[[Sensamagic family#Sensamagic-Unidecimal%20sensamagic|Sensamagic]]: [[283edo]] 5&17&19 72.231
[[Breed family|Agni]]: [[284edo]] 4&6&27 49.3790
[[Kleismic rank three family#Enlil|Enlil]]: [[284edo]] 4&15&38 79.8062
[[Trimyna family#Trimyna-11-limit|Trimyna]]: [[294edo]] 2&29&58 81.4047
[[Hemimean family#Triglav|Triglav]]: [[316edo]] 31&80&87 81.896
[[Werckismic temperaments|Varuna]]: [[320edo]] 12&26&46 41.8714
[[Werckismic temperaments|History]]: [[491edo]] 15&29&43 60.3636
[[Swetismic temperaments|Hades]]: [[578edo]] 22&50&58 36.1398
[[Cataharry family|Albus]]: [[640edo]] 19&53&58 62.1100
[[Mirkwai family|Indra]]: [[703edo]] 10&31&152 26.6020
[[Lehmerismic temperaments#Hanuman|Hanuman]]: [[998edo]] 15&57&152 49.965
[[Kalismic temperaments|Loki]]: [[1092edo]] 12&22&86 49.2550
[[Lehmerismic temperaments|Ganesha]]: [[1502edo]] 31&87&152 39.0462
[[Breed family|Freya]]: [[1566edo]] 10&31&167 16.9702
[[Lehmerismic temperaments|Tyr]]: [[1566edo]] 15&57&183 25.8374
[[Breed family|Baldur]]: [[1696edo]] 4&58&72 16.6115
[[Lehmerismic temperaments|Skadi]]: [[2014edo]] 31&97&121 34.8944
[[Ragisma family|Thor]]: [[2554edo]] 26&46&152 8.8834
[[Breed family|Ennealimmic]]: [[2619edo]] 27&45&171 27.4685
[[Kalismic temperaments|Odin]]: [[7464edo]] 12&42&72 11.6151

=13-limit rank two= 
Name: Optimal patent val: Val name: 1000*badness
[[Jubilismic clan#Diminished-13-limit|Diminished]]: [[4edo]] 4&8d 19.509
[[Meantone family#Maqamic-13-limit|Maqamic]]: [[7edo]] 7&10c 27.214
[[Tetracot family#Modus|Modus]]: [[7edo]] 7&27e 23.806
[[Meantone family#Dominant-Arnold|Arnold]]: [[7edo]] 5&7 23.300
[[Meantone family#Dominant-Dominatrix|Dominatrix]]: [[7edo]] 7&12f 18.289
[[Dicot family#Jamesbond|Jamesbond]]: [[7edo]] 7&14c 23.003
[[Dicot family#Jamesbond|Septimal]]: [[7edo]] 7&14cf 22.569
[[Meantone family#Ptolemy-13-limit|Ptolemy]]: [[7edo]] 7&38df 34.316
[[Mint temperaments|Progression]]: [[9edo]] 8d&9 18.158
[[Marvel temperaments|Negric]]: [[9edo]] 1&9 20.205
[[Bug family#Beep|Pentoid]]: [[9edo]] 5&9 21.159
[[Archytas clan#Beatles|Ringo]]: [[10edo]] 10&17c 22.619
[[Diaschismic family#Pajara-Pajaric-13-limit|Pajaric]]: [[10edo]] 10&12f 20.461
[[Diaschismic family#Pajara-Pajaro|Pajaro]]: [[10edo]] 10&22f 27.355
[[Augmented family#August|Augustus]]: [[12edo]] 9&12 22.236
[[Augmented family#Hexe-13-limit|Hexe]]: [[12edo]] 6f&12f 35.946
[[Mint temperaments#Ripple|Ripple]]: [[12edo|12f]] 1ce&12f 31.639
[[Mint temperaments#Smate|Smate]]: [[14edo]] 14&17c 36.836
[[Trienstonic clan|Opossum]]: [[15edo]] 7d&8d 19.389
[[Trienstonic clan#Kangaroo|Kangaroo]]: [[15edo]] 2cde&15 32.653
[[Archytas clan#Blacksmith|Blacksmith]]: [[15edo]] 5&10 20.498
[[Archytas clan#Progress|Progress]]: [[15edo]] 2&15 26.214
[[Porcupine family#Porcupine|Porcupine]]: [[15edo]] 7&15 21.276
[[Porcupine family#Nautilus|Belauensis]]: [[15edo]] 14c&15 29.816
[[Kleismic family#Keemun-13-limit-Kumbaya|Kumbaya]]: [[15edo]] 4&15 31.633
[[Kleismic family#Keemun-Darjeeling-13-limit%20Darjeeling|Darjeeling]]: [[15edo]] 15&19e 21.445
[[Augmented family#Augene-11-limit-13-limit|Augene]]: [[15edo]] 3&15 20.785
[[Augmented family#Augene-11-limit-Ogene|Ogene]]: [[15edo]] 12&15 22.890
[[Pelogic family#Armodue-13-limit%20Armodue|Armodue]]: [[16edo]] 7&9 19.351
[[Meantone family#Dominant-Domination-13-limit|Domination]]: [[17edo|17c]] 5e&12e 27.435
[[Archytas clan#Progress|Progressive]]: [[17edo|17c]] 2f&15f 32.721
[[Marvel temperaments|Negri]]: [[19edo]] 9&10 17.833
[[Starling temperaments|Sensis]]: [[19edo]] 8d&19 20.017
[[Meantone family|Meanenneadecal]]: [[19edo]] 12f&19 21.182
[[Meantone family#Septimal%20meantone-Meanpop-Meanplop|Meanplop]]: [[19edo]] 12e&19 27.666
[[Meantone family#Godzilla-13-limit|Godzilla]]: [[19edo]] 14cf&19 22.503
[[Meantone family#Undevigintone-13-limit|Undevigintone]]: [[19edo]] 19&38df 22.933
[[Meantone family#Liese-Lisa|Lisa]]: [[19edo]] 2cde&19 36.144
[[Kleismic family#Keemun-13-limit|Keemun]]: [[19edo]] 4&19 29.749
[[Kleismic family#Keemun-Qeema-13-limit|Qeema]]: [[19edo]] 4ef&19 29.419
[[Kleismic family#Cataleptic-13-limit|Cataleptic]]: [[19edo]] 19&34d 27.343
[[Unicorn family#Rhinoceros|Rhinoceros]]: [[19edo]] 1ce&19 39.343
[[Magic family#Spell-13-limit|Spell]]: [[19edo]] 6&19 45.591
[[Magic family#Spell-Cantrip|Cantrip]]: [[19edo]] 6f&19 41.603
[[Magic family#Muggles-13-limit|Muggles]]: [[19edo]] 16&19 30.386
[[Augmented family|August]]: [[21edo]] 9&21 18.448
[[Augmented family#Oodako-13-limit|Oodako]]: [[21edo]] 6&21 42.323
[[Magic family#Magic-Telepathy-13-limit%20telepathy|Telepathy]]: [[22edo]] 19e&22 25.522
[[Magic family#Magic-13-limit-Sorcery|Sorcery]]: [[22edo]] 19&22 25.829
[[Magic family#Divination-13-limit|Divination]]: [[22edo]] 22f&60e 34.551
[[Semicomma family#Blair|Blair]]: [[22edo]] 9&22 23.086
[[Porcupine family#Hedgehog|Hedgehog]]: [[22edo]] 14cf&22
[[Diaschismic family#Pajara-13-limit|Pajarous]]: [[22edo]] 10&22 25.176
[[Diaschismic family#Pajara-13-limit|Pajara]]: [[22edo]] 12&22 27.642
[[Porcupine family#Porcupine|Porkpie]]: [[22edo]] 7&22 26.043
[[Porcupine family#Ceratitid|Ceratitid]]: [[22edo]] 1ce&22 44.739
[[Porcupine family#Hedgehog|Urchin]]: [[22edo]] 14c&22f 25.233
[[Jubilismic clan#Doublewide-Fleetwood-13-limit|Fleetwood]]: [[22edo]] 22&84bdf 31.835
[[Archytas clan#Superpyth|Suprapyth]]: [[22edo]] 17&22 36.336
[[Comic family#Comic-13-limit|Comic]]: [[22edo]] 2cde&22 41.470
[[Magic family#Astrology-13-limit|Astrology]]: [[22edo]] 6&16 34.376
[[Pythagorean family#Catler%20temperament|Catcall]]: [[24edo]] 12f&24 28.363
[[Augmented family|Triforce]]: [[24edo]] 9&15 20.248
[[Augmented family#Hemiaug-13-limit|Hemiaug]]: [[24edo]] 3de&24 30.159
[[Dimipent family#Hemidim|Hemidim]]: [[24edo]] 4ef&24 39.030
[[Dimipent family#Semidim|Semidim]]: [[24edo]] 24&32c 30.597
[[Meantone family#Mohamaq-13-limit|Mohamaq]]: [[24edo]] 17c&24 28.738
[[Meantone family#Godzilla-Varan-13-limit|Varan]]: [[24edo]] 19e&24 25.676
[[Meantone family#Injera-13-limit|Injera]]: [[26edo]] 26&104bcf 21.565
[[Meantone family#Flattone-13-limit|Flattone]]: [[26edo]] 7&19 22.260
[[Jubilismic clan#Lemba-13-limit|Lemba]]: [[26edo]] 10&16 25.477
[[Jubilismic clan#Crepuscular-13-limit|Crepuscular]]: [[26edo]] 26&34d 24.368
[[Orwellismic temperaments#Quartonic-Quarto-13-limit|Quarto]]: [[26edo]] 26&27e 27.692
[[Meantone family#Mothra-Cynder-13-limit|Cynder]]: [[26edo]] 5e&26 34.124
[[Avicennmic temperaments#Secund|Secundly]]: [[26edo]] 9&17 26.212
[[Jubilismic clan#Doublewide-Cavalier-13-limit|Cavalier]]: [[26edo]] 4ef&26 35.040
[[Sensipent family#Sensi-Sensa|Sensa]]: [[27edo]] 19e&27 23.258
[[Tetracot family#Ponens|Ponens]]: [[27edo]] 7&27 39.043
[[Archytas clan#Fervor|Fervor]]: [[27edo]] 2f&27e 39.705
[[Tetracot family#Octacot|Octocat]]: [[27edo|27e]] 14cf&27e 27.601
[[Starling temperaments#Myna%20temperament-Minah|Minah]]: [[27edo|27e]] 4ef&27e 27.568
[[Avicennmic temperaments|Roman]]: [[29edo]] 3&23 30.043
[[Porcupine family#Porky|Porky]]: [[29edo]] 22&29 26.543
[[Porcupine family#Coendou|Coendou]]: [[29edo]] 7&29 30.233
[[Porcupine family|Nautilus]]: [[29edo]] 15&29 22.285
[[Marvel temperaments|Negril]]: [[29edo]] 19&29 24.383
[[Marvel temperaments#Negroni-13-limit|Negroni]]: [[29edo]] 10&29 21.559
[[Slendro clan#Wilsec|Wilsec]]: [[29edo]] 9&20 25.192
[[Trienstonic clan#Quindecic|Quindecic]]: [[30edo]] 15&30 28.944
[[Immunity family#Immunity-Impunity-13-limit|Impunity]]: [[29edo]] 5e&29 33.196
[[Immunity family#Immunity-13-limit|Immunity]]: [[29edo]] 5&29 37.078
[[Meantone family|Meantone]]: [[31edo]] 12f&31 18.048
[[Meantone family|Squares]]: [[31edo]] 17c&31 25.514
[[Meantone family#Squares-Agora|Agora]]: [[31edo]] 31&76e 24.522
[[Meantone family#Mohajira-13-limit|Mohajira]]: [[31edo]] 7&24 23.388
[[Semicomma family|Winston]]: [[31edo]] 9&31 19.931
[[Gamelismic clan#Miracle-Revelation-13-limit|Revelation]]: [[31edo]] 21&31 29.452
[[Marvel temperaments#Tritonic|Tritonic]]: [[31edo]] 29&31 22.993
[[Starling temperaments|Lupercalia]]: [[31edo]] 15&31 21.328
[[Starling temperaments#Casablanca%20temperament-Marrakesh-Murakuc|Murakuc]]: [[31edo]] 31&73f 41.394
[[Starling temperaments#Nusecond%20temperament-13-limit|Nusecond]]: [[31edo]] 31&70f 23.323
[[Starling temperaments#Cypress-13-limit|Cypress]]: [[31edo]] 11cdeef&31 37.849
[[Starling temperaments#x5-limit-Maneh|Maneh]]: [[31edo]] 4ef&31 29.868
[[31 comma temperaments#Prajapati|Prajapati]]: [[31edo]] 31&93f 37.885
[[Würschmidt family#W%C3%BCrschmidt-13-limit|Würschmidt]]: [[31edo]] 31&65d 23.593
[[Würschmidt family#W%C3%BCrschmidt-Worseschmidt|Worseschmidt]]: [[31edo]] 3def&31 34.382
[[Würschmidt family#Hemiw%C3%BCrschmidt-11-limit-Hemithir|Hemithir]]: [[31edo]] 31&68e 31.199
[[Würschmidt family#Hemiw%C3%BCrschmidt-Hemiwur-Hemiwar|Hemiwar]]: [[31edo]] 6f&31 44.886
[[Orwellismic temperaments#Sentinel-13-limit|Sentinel]]: [[31edo]] 14&17 37.408
[[Orwellismic temperaments#Diesic-13-limit|Diesic]]: [[31edo]] 1ce&31 38.116
[[Hemimean clan#Semisept-11-limit-Semishly|Semishly]]: [[31edo]] 31&49f 28.408
[[Mint temperaments#Slurpee|Slurpee]]: [[33edo]] 16&33 33.102
[[Kleismic family#Keemun-13-limit-Kema|Kema]]: [[34edo]] 15&19 22.749
[[Tetracot family#Wollemia|Wollemia]]: [[34edo]] 27e&34 31.219
[[Diaschismic family#Anguirus-13-limit|Anguirus]]: [[34edo]] 10&24 30.829
[[Avicennmic temperaments#Secund|Secund]]: [[35edo]] 9&35 49.684
[[Greenwoodmic temperaments#Greenwood|Greenwood]]: [[35edo]] 21&35 54.009
[[Meantone family#Liese-13-limit|Liesel]]: [[36edo]] 19&36 27.304
[[Augmented family#Niner-13-limit|Niner]]: [[36edo]] 9&36 24.143
[[Archytas clan#Beatles|Beatles]]: [[37edo]] 27e&37 30.161
[[Meantone family#Injera-Enjera|Enjera]]: [[38edo]] 12f&26f 26.542
[[Magic family#Astrology-Horoscope|Horoscope]]: [[38edo]] 16&38 35.284
[[Gamelismic clan|Miraculous]]: [[41edo]] 10&31 18.669
[[Gamelismic clan|Superkleismic]]: [[41edo]] 15&26 21.478
[[Gamelismic clan#Rodan-Varan-13-limit|Varan]]: [[41edo]] 5e&41 32.284
[[Gamelismic clan#Miracle-Hemimiracle|Hemimiracle]]: [[41edo]] 20&21 43.151
[[Schismatic family|Cassandra]]: [[41edo]] 29&41 20.749
[[Tetracot family|Octacot]]: [[41edo]] 27e&41 23.276
[[Tetracot family#Octacot|Octopod]]: [[41edo]] 14cf&41 28.326
[[Tetracot family#Monkey|Monkey]]: [[41edo]] 7&34 28.410
[[Tetracot family#Bunya|Bunya]]: [[41edo]] 7d&41 24.886
[[Magic family|Magic]]: [[41edo]] 19&41 21.509
[[Magic family#Hocus-13-limit|Hocus]]: [[41edo]] 41&79d 30.280
[[Magic family#Witchcraft-13-limit|Witchcraft]]: [[41edo]] 41&60e 23.547
[[Magic family#Trismegistus-13-limit|Trismegistus]]: [[41edo]] 16&41 33.081
[[Sensamagic clan#Bohpier|Bohpier]]: [[41edo]] 41&90ef 24.864
[[Sensamagic clan#Salsa|Salsa]]: [[41edo]] 17&24 30.793
[[Mirkwai clan#Pluto-Plutino-13-limit|Plutino]]: [[41edo]] 2cde&41 40.182
[[Keemic temperaments#Quasitemp-Quato-13-limit|Quato]]: [[41edo]] 4ef&41 30.081
[[Octagar temperaments#Slendi|Slendi]]: [[41edo]] 41&124ef 43.644
[[Meantone family#Jerome|Jerome]]: [[43edo]] 26&43 29.285
[[Marvel temperaments#Amavil|Amavil]]: [[43edo]] 9&43 25.791
[[Meantone family#Septimal%20meantone-Unidecimal%20meantone%20aka%20Huygens-Meridetone|Meridetone]]: [[43edo]] 43&117df 26.421
[[Starling temperaments#Kumonga-13-limit|Kumonga]]: [[43edo]] 16&43 28.920
[[Jubilismic clan#Vigin|Vigin]]: [[44edo]] 22&44 29.849
[[Starling temperaments|Sensor]]: [[46edo]] 19&27 25.474
[[Starling temperaments|Sensus]]: [[46edo]] 46&73 20.789
[[Starling temperaments|Dwynwen]]: [[46edo]] 15&46 23.461
[[Hemifamity temperaments|Leapday]]: [[46edo]] 29&46 24.732
[[Porwell temperaments|Twothirdtonic]]: [[46edo]] 9&37 25.941
[[Amity family#Bamity|Bamity]]: [[46edo]] 14cf&46 30.885
[[Sensamagic clan#Magus|Magus]]: [[46edo]] 3de&46 43.024
[[Gamelismic clan#Rodan|Aerodactyl]]: [[46edo]] 5&46 33.986
[[Gamelismic clan#Rodan-Aerodino-13-limit|Aerodino]]: [[46edo]] 5e&46 35.836
[[Archytas clan|Superpyth]]: [[49edo]] 22&49 24.673
[[Kleismic family#Cataclysmic|Cataclysmic]]: [[53edo]] 53&140d 22.554
[[Kleismic family#Hemikleismic|Hemikleismic]]: [[53edo]] 15&53 26.005
[[Semicomma family#Orwell-13-limit|Orwell]]: [[53edo]] 22&31 19.718
[[Semicomma family#Doublethink|Doublethink]]: [[53edo]] 9&44 27.120
[[Hemifamity temperaments#Tricot|Tricot]]: [[53edo]] 53&70 32.102
[[Amity family#Hamity|Hamity]]: [[53edo]] 14cf&53 29.753
[[Kleismic family#Kleiboh-13-limit|Kleiboh]]: [[53edo]] 4ef&53 31.074
[[Maja family#Maja-13-limit|Maja]]: [[53edo]] 45ef&53 27.532
[[Schismatic family#Garibaldi-Helenus-13-limit%20Helenus|Helenus]]: [[53edo]] 53&118d 26.284
[[Schismatic family#Hemigari-13-limit|Hemigari]]: [[53edo]] 29&53 27.464
[[Orwellismic temperaments#Quartonic-Quartz-13-limit|Quartz]]: [[53edo]] 26&53 28.818
[[Sycamore family#Sycamore|Sycamore]]: [[56edo]] 18&19 34.295
[[Diaschismic family|Diaschismic]]: [[58edo]] 46&58 18.926
[[Starling temperaments|Myna]]: [[58edo]] 31&58 17.125
[[Breedsmic temperaments|Hemififths]]: [[58edo]] 41&58 19.090
[[Orwellismic temperaments#Infraorwell-13-limit|Infraorwell]]: [[58edo]] 9&58 23.683
[[Starling temperaments#Thuja-13-limit|Thuja]]: [[58edo]] 15&43 22.838
[[Unicorn family#Alicorn|Alicorn]]: [[58edo]] 19&58 23.667
[[Starling temperaments#Bisemidim-13-limit|Bisemidim]]: [[58edo]] 50&58 23.877
[[Diaschismic family#Sruti|Sruti]]: [[58edo]] 24&58 23.791
[[Unicorn family#Qilin|Qilin]]: [[58edo]] 58&77 22.842
[[31 comma temperaments#Gallium|Gallium]]: [[62edo]] 31&62 25.484
[[Starling temperaments#Valentine%20temperament-Semivalentine|Semivalentine]]: [[62edo]] 16&30 32.749
[[Meantone family#Septimal%20meantone-Unidecimal%20meantone%20aka%20Huygens-Hemimeantone|Hemimeantone]]: [[62edo]] 43&62 31.433
[[Porcupine family|Ammonite]]: [[66edo]] 29&37 27.168
[[Würschmidt family#Hemiw%C3%BCrschmidt-Hemiwur-13-limit|Hemiwur]]: [[68edo]] 6&31 28.432
[[Gamelismic clan|Manna]]: [[72edo]] 41&72 17.012
[[Gamelismic clan|Hendec]]: [[72edo]] 26&46 17.707
[[Kleismic family|Catakleismic]]: [[72edo]] 19&53 16.883
[[Marvel temperaments|Lizard]]: [[72edo]] 22&50 21.781
[[Breedsmic temperaments#Neominor|Neominor]]: [[72edo]] 72&161f 26.942
[[Pythagorean family#Compton%20temperament|Compton]]: [[72edo]] 72&228f 21.852
[[Pythagorean family#Compton%20temperament|Comptone]]: [[72edo]] 12&72 25.144
[[Pythagorean family#Hours|Hours]]: [[72edo]] 24&72 26.931
[[Kleismic family#Bikleismic|Bikleismic]]: [[72edo]] 72&106 21.814
[[Marvel temperaments#Marvolo|Marvolo]]: [[72edo]] 29&43 21.470
[[Gamelismic clan#Miracle-Semimiracle|Semimiracle]]: [[72edo]] 10&62 24.622
[[Kleismic family#Catalytic-13-limit|Catalytic]]: [[72edo]] 19e&72 22.337
[[Marvel temperaments#Enneaportent-13-limit|Enneaportent]]: [[72edo]] 9&54 22.322
[[Ragismic microtemperaments#Ennealimmal-Ennealimmic-Ennealim|Ennealim]]: [[72edo]] 27e&72 20.697
[[Starling temperaments#Casablanca%20temperament-Marrakesh-13-limit|Marrakesh]]: [[73edo]] 31&73 40.774
[[Meantone family#Septimal%20meantone-Unidecimal%20meantone%20aka%20Huygens-Grosstone|Grosstone]]: [[74edo]] 12&31 25.899
[[Starling temperaments|Valentino]]: [[77edo]] 31&46 20.665
[[Unicorn family#Alicorn|Camahueto]] [[77edo]] 19&77 36.155
[[Diaschismic family|Echidna]]: [[80edo]] 22&58 23.679
[[Diaschismic family|Bidia]]: [[80edo]] 12&68 41.137
[[Ragismic microtemperaments#Parakleismic-Paradigmic-Paradigmic-13-limit|Paradigmic]]: [[80edo]] 19&80 35.781
[[Orwellismic temperaments#Quartonic-13-limit|Quartonic]]: [[80edo]] 53&80 23.875
[[Meantone family|Meanpop]]: [[81edo]] 19&31 20.883
[[Magic family#Soothsaying|Soothsaying]]: [[82edo]] 22&60 55.443
[[Orwellismic temperaments#Secant-13-limit|Secant]]: [[84edo]] 26&58 46.373
[[Gamelismic clan|Rodan]]: [[87edo]] 41&46 18.448
[[Kleismic family#Clyde|Clyde]]: [[87edo]] 19&68 26.842
[[Misty family#Misty|Misty]]: [[87edo]] 12f&87 27.820
[[Hemimean clan#Emka-13-limit|Emka]]: [[87edo]] 37&50 29.741
[[Meantone family#Mothra|Mothra]]: [[88edo]] 5&26 23.954
[[Marvel temperaments#Septimin-13-limit|Septimin]]: [[91edo]] 9&41 23.117
[[31 comma temperaments#Prajapati|Kumhar]]: [[93edo]] 31&93 48.582
[[Marvel temperaments|Slender]]: [[94edo]] 31&63 25.913
[[Marvel temperaments#Submajor-Interpental-13-limit|Interpental]]: [[96edo]] 43&53 29.680
[[Hemifamity temperaments#Supers|Supers]]: [[94edo]] 58&94 21.644
[[Meantone family#Mothra|Mosura]]: [[98edo]] 31&67 36.857
[[Ragismic microtemperaments#Amity-Hitchcock-13-limit|Hitchcock]]: [[99edo]] 7&39 22.448
[[Diaschismic family|Echidnic]]: [[102edo]] 10&46 28.874
[[Gamelismic clan|Benediction]]: [[103edo]] 31&72 15.715
[[Magic family#Magic-13-limit-Necromancy|Necromancy]]: [[104edo]] 22&41 25.275
[[Hemifamity temperaments|Buzzard]]: [[111edo]] 53&58 18.842
[[Mirkwai clan#Kwai-13-limit|Kwai]]: [[111edo]] 41&111 24.555
[[Diaschismic family|Shrutar]]: [[114edo]] 46&68 28.057
[[Marvel temperaments#Submajor-13-limit|Submajor]]: [[116edo]] 10&53 27.689
[[Schismatic family|Guiron]]: [[118edo]] 41&77 28.444
[[Gamelismic clan#Hemithirds-13-limit|Hemithirds]]: [[118edo]] 31&56 21.738
[[Schismatic family#Kleischismic|Kleischismic]]: [[118edo]] 24&94 37.640
[[Mirkwai clan|Grendel]]: [[121edo]] 31&121 24.839
[[Mirkwai clan#Pluto|Pluto]]: [[121edo]] 41&80 25.717
[[Breedsmic temperaments|Harry]]: [[130edo]] 58&72 13.046
[[11-limit comma temperaments#Bosonic|Bosonic]]: [[130edo]] 26&130 32.946
[[Kleismic family|Countercata]]: [[140edo]] 34&53 20.156
[[Hemimage temperaments#Degrees|Degrees]]: [[140edo]] 80&140 32.718
[[Hemifamity temperaments#Ketchup-13-limit|Ketchup]]: [[140edo]] 46&94 24.824
[[Pythagorean family#Omicronbeta%20temperament|Omicronbeta]]: [[144edo]] 72&144 29.956
[[Sensipent family|Heinz]]: [[149edo]] 46&103 25.779
[[Ragismic microtemperaments#Octoid-Octopus|Octopus]]: [[152edo]] 72&152 21.679
[[Unicorn family#Alicorn|Monocerus]]: [[154edo]] 58&154 28.795
[[Kleismic family|Tritikleismic]]: [[159edo]] 15&72 15.652
[[Marvel temperaments|Gizzard]]: [[166edo]] 72&166 20.252
[[Breedsmic temperaments#Tertiaseptal|Tertiaseptal]]: [[171edo]] 31&171 36.876
[[Ragismic microtemperaments#Parakleismic-Parkleismic-13-limit|Parkleismic]]: [[179edo]] 80&179 36.559
[[Mirkwai clan|Mirkat]]: [[183edo]] 72&111 18.632
[[Gamelismic clan|Ekadash]]: [[190edo]] 72&118 20.381
[[Kleismic family|Sqrtphi]]: [[193edo]] 72&121 20.040
[[Misty family#Hemimist|Hemimist]]: [[198edo]] 87&111 22.923
[[Breedsmic temperaments#Semihemi|Semihemi]]: [[198edo]] 21.188
[[Ragismic microtemperaments#Amity-13-limit|Amity]]: [[205edo]] 53&205 28.008
[[Hemifamity temperaments|Quanic]]: [[205edo]] 94&111 32.481
[[Kleismic family|Metakleismic]]: [[208edo]] 87&121 24.371
[[Kleismic family|Quadritikleismic]]: [[212edo]] 68&72 18.731
[[Hemimean clan#Arch|Arch]]: [[217edo]] 43&87 19.504
[[Ragismic microtemperaments|Octoid]]: [[224edo]] 72&224 15.274
[[Hemifamity temperaments|Mystery]]: [[232edo]] 29&58 18.591
[[Hemimean clan#Subpental|Subpental]]: [[241edo]] 19&111 23.940
[[Ragismic microtemperaments#Ennealimmal|Ennealimnic]]: [[243edo]] 72&171 20.250
[[Quince clan#Essence|Essence]]: [[248edo]] 58&190 26.107
[[Mirkwai clan#Subsemifourth|Subsemifourth]]: [[255edo]] 103&255 28.387
[[Ragismic microtemperaments|Hemiennealimmal]]: [[270edo]] 72&198 12.505
[[Ragismic microtemperaments#Acrokleismic-13-limit|Acrokleismic]]: [[270edo]] 19&251 26.818
[[Ragismic microtemperaments#Acrokleismic-Counteracro-13-limit|Counteracro]]: [[270edo]] 270&1331c 26.028
[[Sensamagic clan|Sensa]]: [[283edo]] 22&65 31.366
[[Schismatic family|Sextilififths]]: [[289edo]] 29&130 25.276
[[Ragismic microtemperaments#Quincy|Quincy]]: [[289edo]] 72&145 23.862
[[Würschmidt family#Hemiw%C3%BCrschmidt-11-limit-13-limit|Hemiwürschmidt]]: [[291edo]] 31&130 23.074
[[Porwell temperaments|Hemischis]]: [[313edo]] 53&130 20.816
[[Werckismic temperaments#Octowerck|Octowerck]]: [[320edo]] 72&248 27.632
[[Kleismic family#Novemkleismic|Novemkleismic]]: [[333edo]] 72&261 39.072
[[Schismatic family|Bischismic]]: [[378edo]] 12&118 28.722
[[Ragismic microtemperaments#Neusec|Neusec]]: [[388edo]] 190&198 30.941
[[Ragismic microtemperaments#Gamera-Hemigamera-13-limit|Hemigamera]]: [[422edo]] 26&198 20.416
[[Ragismic microtemperaments|Semiennealimmal]]: [[441edo]] 72&441 26.122
[[31 comma temperaments#Birds|Birds]]: [[465edo]] 31&217 35.680
[[Horwell temperaments#Emkay|Emkay]]: [[535edo]] 87&137 17.853
[[11-limit comma temperaments#Fermionic|Fermionic]]: [[546edo]] 130&286 43.581
[[Schismatic family#Pogo-13-limit|Pogo]]: [[578edo]] 36&94 17.514
[[Ragismic microtemperaments#Quatracot-13-limit|Quatracot]]: [[638edo]] 190&224 22.643
[[Breedsmic temperaments#Unthirds|Unthirds]]: [[694edo]] 72&311 20.888
[[Schismatic family#Octant-13-limit|Octant]]: [[696edo]] 24&224 30.425
[[Ragismic microtemperaments#Quasithird-13-limit|Quasithird]]: [[836edo]] 164&224 29.501
[[Breedsmic temperaments#Newt|Newt]]: [[851edo]] 41&229 13.830
[[Breedsmic temperaments|Decoid]]: [[940edo]] 130&270 13.475
[[Ragismic microtemperaments#Ennealimmal|Semihemiennealimmal]] [[954edo]] 126&144 13.104
[[Vishnuzmic family#Vishnu-Acyuta|Acyuta]]: [[962edo]] 270&692 15.805
[[Ragismic microtemperaments|Deca]]: [[1000edo]] 80&190 16.810
[[Breedsmic temperaments|Quasiorwell]]: [[1111edo]] 31&239 17.921
[[Ragismic microtemperaments|Abigail]]: [[1258edo]] 46&178 8.856
[[Vishnuzmic family#Vishnu-Ananta|Ananta]]: [[1468edo]] 118&152 23.678

=13-limit rank three= 
Name: Optimal patent val: Val name: 10^5 * badness
[[Starling family|Mockingbird]]: [[15edo]] 3&4&15 85.942
[[Starling family|Catbird]]: [[19edo]] 4&12f&19 90.475
[[Marvel family|Potassium]]: [[19edo]] 9&10&11 73.346
[[Mint family|Nickel]]: [[28edo]] 7&9&21 64.705
[[Semaphore family#Negric|Negric]]: [[29edo]] 1&9&10 80.756
[[Starling family|Nightingale]]: [[31edo]] 3&15&28 83.714
[[Starling family|Thrasher]]: [[34edo]] 12&15&19 87.636
[[Semaphore family|Selenium]]: [[34edo]] 5&9&10 78.368
[[Sengic family|Krypton]]: [[36edo]] 9&10&36 72.673
[[Gamelismic family|Foreboding]]: [[41edo]] 5&10&26 87.267
[[Marvel family#Prodigy|Prodigy]]: [[41edo]] 10&29&31 73.639
[[Starling family#Thrush-Veery|Veery]]: [[46edo]] 12&15&46 99.122
[[Marvel family|Athene]]: [[53edo]] 12f&22&53 81.781
[[Starling family|Thrush]]: [[58edo]] 31&46&58 67.663
[[Starling family|Bluebird]]: [[58edo]] 12&15&31 91.548
[[Starling family|Aplonis]]: [[58edo]] 19&31&58 82.078
[[Breed family|Jofur]]: [[58edo]] 10&31&58 74.932
[[Marvel family|Deecee]]: [[72edo]] 9&22&41 92.048
[[Marvel family#Prodigy|Prodigious]]: [[72edo]] 2&29&41 89.974
[[Valinorismic temperaments#Varda|Varda]]: [[80edo]] 22&46&58 97.041
[[Sensamagic family#Sensawer-13-limit|Sensawer]]: [[87edo]] 41&46&73 92.807
[[Marvel family|Tripod]]: [[91edo]] 9&10&31 74.546
[[Marvel family|Isis]]: [[94edo]] 10&22&31 86.583
[[Marvel family#Malcolm|Malcolm]]: [[94edo]] 19e&41&53 107.452
[[Marvel family|Marvel]]: [[103edo]] 19&22&31 68.977
[[Marvel family#Prodigy|Prodigal]]: [[103edo]] 31&72&84 88.910
[[Marvel family#Mirage|Mirage]]: [[103edo]] 10&31&62 73.850
[[Marvel family#Apollo|Apollo]]: [[104edo]] 22&29&41 103.106
[[Swetismic temperaments#Hades-Cerberus|Cerberus]]: [[130edo]] 22&50&58 76.512
[[Gamelismic family|Ominous]]: [[149edo]] 5&26&46 75.055
[[Gamelismic family|Portending]]: [[159edo]] 15&26&46 62.715
[[Gamelismic family|Momentous]]: [[164edo]] 10&31&46 83.202
[[Marvel family|Hecate]]: [[166edo]] 19&41&53 72.113
[[Marvel family|Marvell]]: [[166edo]] 9&31&63 86.160
[[Valinorismic temperaments#Ulmo|Ulmo]]: [[179edo]] 7&39&80 93.162
[[Mirkwai family#Indra-Vibhu|Vibhu]]: [[183edo]] 31&72&111 82.598
[[Gamelismic family|Portentous]]: [[190edo]] 15&31&56 66.119
[[Mirkwai family#Indra-Vish|Vish]]: [[193edo]] 41&72&121 92.976
[[Swetismic temperaments#Minos-13-limit|Minos]]: [[193edo]] 9&54&58 72.381
[[Hemifamity family#Namaka|Namaka]]: [[198edo]] 29&53&58 78.124
[[Hemifamity family|Laka]]: [[205edo]] 41&53&58 82.186
[[The Archipelago#Rank%20three%20temperaments|Kujuku]] [[208edo]] 24&29&58 105.976
[[Tolermic family|Tolerant]]: [[208edo]] 41&46&80 102.099
[[Breed family|Agni]]: [[212edo]] 6&31&72 92.251
[[Mirkwai family#Indra-Yajna|Yajna]]: [[224edo]] 31&72&121 69.986
[[Hemifamity family|Pele]]: [[232edo]] 29&41&46 70.328
[[Trimyna family#Trimyna-13-limit|Trimyna]]: [[232edo]] 29&31&56 81.405
[[Breed family|Jovial]]: [[243edo]] 41&58&72 62.380
[[The Archipelago|Borneo]]: [[270edo]] 15&72&111 54.937
[[Werckismic temperaments|History]]: [[289edo]] 15&29&43 53.955
[[Kleismic rank three family#Enlil|Enlil]]: [[299edo]] 15&19&53 68.005
[[Cataharry family|Madagascar]]: [[313edo]] 19&53&58 56.006
[[Hemifamity family#Akea|Akea]]: [[321edo]] 7&34&46 82.191
[[Breed family|Jovis]]: [[363edo]] 31&58&72 54.221
[[Lehmerismic temperaments#Hanuman|Hanuman]]: [[535edo]] 15&72&137 65.278
[[Swetismic temperaments#Hades|Hades]]: [[578edo]] 36&58&72 53.531
[[Breed family|Vili]]: [[643edo]] 37&93&103 73.821
[[Mirkwai family#Indra-Shibi|Shibi]]: [[703edo]] 41&72&111 72.094
[[Breed family|Greenland]]: [[940edo]] 58&72&198 44.343
[[The Archipelago|Baffin]]: [[940edo]] 34&43&53 60.443
[[Breed family|Ennealimmic]]: [[981edo]] 27&72&171 75.488
[[Breed family|Zisa]]: [[1241edo]] 21&31&109 82.974
[[Ragisma family|Thunor]]: [[1258edo]] 26&46&178 34.135
[[Breed family|Frigg]]: [[1344edo]] 6&58&103 93.387
[[Ragisma family|Donar]]: [[1448edo]] 46&80&144 32.154
[[Ragisma family|Rym]]: [[1870edo]] 46&106&118 54.933
[[Breed family|Freya]]: [[2615edo]] 10&31&229 85.515

Original HTML content:

<html><head><title>Optimal patent val</title></head><body><!-- ws:start:WikiTextTocRule:14:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><a href="#x5-limit rank two">5-limit rank two</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#x7-limit rank two">7-limit rank two</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#x7-limit rank three">7-limit rank three</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#x11-limit rank two">11-limit rank two</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | <a href="#x11-limit rank three">11-limit rank three</a><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --> | <a href="#x13-limit rank two">13-limit rank two</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#x13-limit rank three">13-limit rank three</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: -->
<!-- ws:end:WikiTextTocRule:22 --><br />
Given any collection of p-limit commas, there is a finite list of p-limit <a class="wiki_link" href="/Patent%20val">patent vals</a> 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 <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures">TE error</a>; this is the <em>optimal (TE) patent val</em> 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.<br />
<br />
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 <a class="wiki_link_ext" href="http://www.huygens-fokker.org/scala/" rel="nofollow">Scala</a> using the Quantize command: either type in &quot;Quantize/consistent N&quot; on the bottom, or use the pull-down menu under &quot;Modify&quot;, check the box saying &quot;Consistent&quot; and type N (without a decimal point) into &quot;Resolution&quot;.<br />
<br />
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 <a class="wiki_link" href="/POTE%20tuning">POTE tuning</a> 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.<br />
<br />
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&amp;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 Keenan notation are given; this adjusts the nth prime mapping to its second-best value by appending the nth lower-case letter in alphabetical order. Thus, &quot;12f&quot; adjusts a patent val for 12 in the 13-limit or above, for instance &lt;12 19 28 34 42 44|, to &lt;12 19 28 34 42 45| (which is actually a better mapping, and hence more useful for this purpose.)<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x5-limit rank two"></a><!-- ws:end:WikiTextHeadingRule:0 -->5-limit rank two</h1>
 Comma: Optimal patent val: 1000 * badness<br />
16/15: <a class="wiki_link" href="/8edo">8edo</a> 14.884<br />
648/625: <a class="wiki_link" href="/12edo">12edo</a> 47.231<br />
27/25: <a class="wiki_link" href="/14edo">14edo</a> 32.801<br />
25/24: <a class="wiki_link" href="/17edo">17edo</a> 13.028<br />
250/243: <a class="wiki_link" href="/22edo">22edo</a> 30.778<br />
135/128: <a class="wiki_link" href="/23edo">23edo</a> 39.556<br />
128/125: <a class="wiki_link" href="/39edo">39edo</a> 22.315<br />
3125/3072: <a class="wiki_link" href="/60edo">60edo</a> 39.163<br />
2048/2025: <a class="wiki_link" href="/80edo">80edo</a> 19.915<br />
81/80: <a class="wiki_link" href="/81edo">81edo</a> 7.381<br />
20000/19683: <a class="wiki_link" href="/109edo">109edo</a> 48.518<br />
393216/390625: <a class="wiki_link" href="/164edo">164edo</a> 40.603<br />
2109375/2097152: <a class="wiki_link" href="/296edo">296edo</a> 40.807<br />
15625/15552: <a class="wiki_link" href="/458edo">458edo</a> 13.234;<br />
78732/78125: <a class="wiki_link" href="/539edo">539edo</a> 35.220<br />
32805/32768: <a class="wiki_link" href="/749edo">749edo</a> 4.259<br />
1600000/1594323: <a class="wiki_link" href="/873edo">873edo</a> 21.960<br />
6115295232/6103515625: <a class="wiki_link" href="/1400edo">1400edo</a> 31.181<br />
1224440064/1220703125: <a class="wiki_link" href="/1496edo">1496edo</a> 43.729<br />
274877906944/274658203125: <a class="wiki_link" href="/1559edo">1559edo</a> 20.576<br />
7629394531250/7625597484987: <a class="wiki_link" href="/3501edo">3501edo</a> 17.191<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="x7-limit rank two"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit rank two</h1>
 Name: Optimal patent val: Val name: 1000*badness<br />
<a class="wiki_link" href="/Father%20family#Pater">Pater</a>: <a class="wiki_link" href="/3edo">3edo</a> 3&amp;11b 53.001<br />
<a class="wiki_link" href="/Dicot%20family#Flat">Flat</a>: <a class="wiki_link" href="/4edo">4edo</a> 3&amp;4 25.381<br />
<a class="wiki_link" href="/Trienstonic%20clan">Father</a>: <a class="wiki_link" href="/5edo">5edo</a> 3d&amp;5 21.312<br />
<a class="wiki_link" href="/Archytas%20clan">Mother</a>: <a class="wiki_link" href="/5edo">5edo</a> 2&amp;3 24.152<br />
<a class="wiki_link" href="/Meantone%20family">Sharptone</a>: <a class="wiki_link" href="/5edo">5edo</a> 5&amp;7d 24.848<br />
<a class="wiki_link" href="/Father%20family#Baba">Baba</a>: <a class="wiki_link" href="/5edo">5edo</a> 1&amp;5 44.321<br />
<a class="wiki_link" href="/Father%20family#Quint">Quint</a>: <a class="wiki_link" href="/5edo">5edo</a> 5&amp;15cd 48.312<br />
<a class="wiki_link" href="/Bug%20family#Mite">Mite</a>: <a class="wiki_link" href="/5edo">5edo</a> 1cdd&amp;5 54.770<br />
<a class="wiki_link" href="/Father%20family#Walid">Walid</a>: <a class="wiki_link" href="/6edo">6edo</a> 2&amp;6 48.978<br />
<a class="wiki_link" href="/Dicot%20family">Dicot</a>: <a class="wiki_link" href="/7edo">7edo</a> 4&amp;7 19.935<br />
<a class="wiki_link" href="/Dicot%20family#Jamesbond">Jamesbond</a>: <a class="wiki_link" href="/7edo">7edo</a> 7&amp;14c 41.714<br />
<a class="wiki_link" href="/Septisemi%20temperaments#Oxygen">Oxygen</a>: <a class="wiki_link" href="/8edo">8edo</a> 7d&amp;8 59.866<br />
<a class="wiki_link" href="/Bug%20family">Beep</a>: <a class="wiki_link" href="/9edo">9edo</a> 4&amp;5 18.638<br />
<a class="wiki_link" href="/Mint%20temperaments#Progression">Progression</a>: <a class="wiki_link" href="/9edo">9edo</a> 9&amp;17c 48.356<br />
<a class="wiki_link" href="/Augmented%20family#Deflated">Deflated</a>: <a class="wiki_link" href="/9edo">9edo</a> 3&amp;9 59.079<br />
<a class="wiki_link" href="/Septisemi%20temperaments#Fluorine">Fluorine</a>: <a class="wiki_link" href="/9edo">9edo</a> 9&amp;20bd 55.623<br />
<a class="wiki_link" href="/Dicot%20family">Sharp</a>: <a class="wiki_link" href="/10edo">10edo</a> 3d&amp;7d 28.942<br />
<a class="wiki_link" href="/Dicot%20family">Decimal</a>: <a class="wiki_link" href="/10edo">10edo</a> 4&amp;10 28.334<br />
<a class="wiki_link" href="/Septisemi%20temperaments#Sodium">Sodium</a>: <a class="wiki_link" href="/11edo">11edo</a> 4&amp;11 55.814<br />
<a class="wiki_link" href="/Meantone%20family">Dominant</a>: <a class="wiki_link" href="/12edo">12edo</a> 5&amp;7 20.690<br />
<a class="wiki_link" href="/Jubilismic%20clan">Diminished</a>: <a class="wiki_link" href="/12edo">12edo</a> 4&amp;12 22.401<br />
<a class="wiki_link" href="/Augmented%20family">August</a>: <a class="wiki_link" href="/12edo">12edo</a> 9&amp;12 26.459<br />
<a class="wiki_link" href="/Augmented%20family#Hexe">Hexe</a>: <a class="wiki_link" href="/12edo">12edo</a> 6&amp;12 57.730<br />
<a class="wiki_link" href="/Schismatic%20family#Schism">Schism</a>: <a class="wiki_link" href="/12edo">12edo</a> 12&amp;29de 56.648<br />
<a class="wiki_link" href="/Mint%20temperaments#Ripple">Ripple</a>: <a class="wiki_link" href="/12edo">12edo</a> 12&amp;23 59.735<br />
<a class="wiki_link" href="/Archytas%20clan">Blacksmith</a>: <a class="wiki_link" href="/15edo">15edo</a> 5&amp;10 25.640<br />
<a class="wiki_link" href="/Trienstonic%20clan">Opossum</a>: <a class="wiki_link" href="/15edo">15edo</a> 7d&amp;8d 40.650<br />
<a class="wiki_link" href="/Augmented%20family#Inflated">Inflated</a>: <a class="wiki_link" href="/15edo">15edo</a> 15&amp;48bc 54.729<br />
<a class="wiki_link" href="/Gamelismic%20clan">Gorgo</a>: <a class="wiki_link" href="/16edo">16edo</a> 5&amp;16 46.385<br />
<a class="wiki_link" href="/Pelogic%20family#Armodue">Armodue</a>: <a class="wiki_link" href="/16edo">16edo</a> 7&amp;9 49.038<br />
<a class="wiki_link" href="/Dicot%20family#Dichotic">Dichotic</a>: <a class="wiki_link" href="/17edo">17edo</a> 3&amp;7 37.565<br />
<a class="wiki_link" href="/Trienstonic%20clan">Octokaidecal</a>: <a class="wiki_link" href="/18edo">18edo</a> 10&amp;18 36.747<br />
<a class="wiki_link" href="/Trienstonic%20clan">Uncle</a>: <a class="wiki_link" href="/18edo">18edo</a> 5&amp;18 72.653<br />
<a class="wiki_link" href="/Marvel%20temperaments">Negri</a>: <a class="wiki_link" href="/19edo">19edo</a> 1&amp;9 26.483<br />
<a class="wiki_link" href="/Meantone%20family">Godzilla</a>: <a class="wiki_link" href="/19edo">19edo</a> 5&amp;19 26.747<br />
<a class="wiki_link" href="/Kleismic%20family">Keemun</a>: <a class="wiki_link" href="/19edo">19edo</a> 4&amp;15 27.408<br />
<a class="wiki_link" href="/Trienstonic%20clan#Wallaby">Wallaby</a>: <a class="wiki_link" href="/19edo">19ccdd</a> 2d&amp;5c 58.468<br />
<a class="wiki_link" href="/Diaschismic%20family">Pajara</a>: <a class="wiki_link" href="/22edo">22edo</a> 2&amp;10 20.033<br />
<a class="wiki_link" href="/Porcupine%20family#Hedgehog">Hedgehog</a>: <a class="wiki_link" href="/22edo">22edo</a> 14c&amp;22 43.983<br />
<a class="wiki_link" href="/Jubilismic%20clan">Lemba</a>: <a class="wiki_link" href="/26edo">26edo</a> 10&amp;16 62.208<br />
<a class="wiki_link" href="/Augmented%20family#Augene">Augene</a>: <a class="wiki_link" href="/27edo">27edo</a> 3&amp;12 24.816<br />
<a class="wiki_link" href="/Augmented%20family#Niner">Niner</a>: <a class="wiki_link" href="/27edo">27edo</a> 9&amp;18 67.157<br />
<a class="wiki_link" href="/Archytas%20clan">Beatles</a>: <a class="wiki_link" href="/27edo">27edo</a> 10&amp;27 45.872<br />
<a class="wiki_link" href="/Porcupine%20family">Nautilus</a>: <a class="wiki_link" href="/29edo">29edo</a> 15&amp;29 57.420<br />
<a class="wiki_link" href="/Meantone%20family">Mothra</a>: <a class="wiki_link" href="/31edo">31edo</a> 5&amp;26 37.146<br />
<a class="wiki_link" href="/Meantone%20family">Squares</a>: <a class="wiki_link" href="/31edo">31edo</a> 31&amp;45 45.993<br />
<a class="wiki_link" href="/Immunity%20family#Immunity-7-limit">Immunity</a>: <a class="wiki_link" href="/34edo">34edo</a> 5&amp;29 77.631<br />
<a class="wiki_link" href="/Meantone%20family">Injera</a>: <a class="wiki_link" href="/38edo">38edo</a> 12&amp;26 31.130<br />
<a class="wiki_link" href="/Augmented%20family">Triforce</a>: <a class="wiki_link" href="/39edo">39edo</a> 6&amp;9 54.988<br />
<a class="wiki_link" href="/Magic%20family">Magic</a>: <a class="wiki_link" href="/41edo">41edo</a> 19&amp;41 18.918<br />
<a class="wiki_link" href="/Gamelismic%20clan">Superkleismic</a>: <a class="wiki_link" href="/41edo">41edo</a> 15&amp;26 47.932<br />
<a class="wiki_link" href="/Keemic%20temperaments#Quasitemp">Quasitemp</a>: <a class="wiki_link" href="/41edo">41edo</a> 4&amp;37 60.269<br />
<a class="wiki_link" href="/Meantone%20family">Flattone</a>: <a class="wiki_link" href="/45edo">45edo</a> 7&amp;19 38.553<br />
<a class="wiki_link" href="/Starling%20temperaments">Sensi</a>: <a class="wiki_link" href="/46edo">46edo</a> 19&amp;27 25.622<br />
<a class="wiki_link" href="/Jubilismic%20clan">Doublewide</a>: <a class="wiki_link" href="/48edo">48edo</a> 4&amp;18 43.462<br />
<a class="wiki_link" href="/Archytas%20clan">Superpyth</a>: <a class="wiki_link" href="/49edo">49edo</a> 5&amp;17 32.318<br />
<a class="wiki_link" href="/Archytas%20clan">Passion</a>: <a class="wiki_link" href="/49edo">49edo</a> 12&amp;37 62.327<br />
<a class="wiki_link" href="/Porcupine%20family#Porky">Porky</a>: <a class="wiki_link" href="/51edo">51edo</a> 22&amp;51 54.389<br />
<a class="wiki_link" href="/Marvel%20temperaments#Submajor-7-limit">Submajor</a>: <a class="wiki_link" href="/53edo">53edo</a> 10&amp;33 60.533<br />
<a class="wiki_link" href="/Meantone%20family">Liese</a>: <a class="wiki_link" href="/55edo">55edo</a> 19&amp;55 46.706<br />
<a class="wiki_link" href="/Sycamore%20family#Sycamore">Sycamore</a>: <a class="wiki_link" href="/56edo">56edo</a> 18&amp;19 62.018<br />
<a class="wiki_link" href="/Diaschismic%20family">Diaschismic</a>: <a class="wiki_link" href="/58edo">58edo</a> 12&amp;34 37.914<br />
<a class="wiki_link" href="/Porcupine%20family#Porcupine">Porcupine</a>: <a class="wiki_link" href="/59edo">59edo</a> 7&amp;15 41.057<br />
<a class="wiki_link" href="/Starling%20temperaments#Kumonga">Kumonga</a>: <a class="wiki_link" href="/70edo">70edo</a> 16&amp;27 87.500<br />
<a class="wiki_link" href="/Gamelismic%20clan">Miracle</a>: <a class="wiki_link" href="/72edo">72edo</a> 10&amp;21 16.742<br />
<a class="wiki_link" href="/Marvel%20temperaments">Wizard</a>: <a class="wiki_link" href="/72edo">72edo</a> 22&amp;50 40.846<br />
<a class="wiki_link" href="/Unicorn%20family#Alicorn">Alicorn</a> <a class="wiki_link" href="/77edo">77edo</a> 19&amp;58 40.913<br />
<a class="wiki_link" href="/Diaschismic%20family">Bidia</a>: <a class="wiki_link" href="/80edo">80edo</a> 12&amp;56 56.474<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Quartonic">Quartonic</a>: <a class="wiki_link" href="/80edo">80edo</a> 26&amp;27 42.632<br />
<a class="wiki_link" href="/Meantone%20family">Meantone</a>: <a class="wiki_link" href="/81edo">81edo</a> 12&amp;19 13.707<br />
<a class="wiki_link" href="/Starling%20temperaments">Myna</a>: <a class="wiki_link" href="/89edo">89edo</a> 4&amp;27 27.044<br />
<a class="wiki_link" href="/Marvel%20temperaments">Septimin</a>: <a class="wiki_link" href="/91edo">91edo</a> 9&amp;32 54.502<br />
<a class="wiki_link" href="/Schismatic%20family">Garibaldi</a>: <a class="wiki_link" href="/94edo">94edo</a> 12&amp;29 21.644<br />
<a class="wiki_link" href="/Hemimean%20clan">Misty</a>: <a class="wiki_link" href="/99edo">99edo</a> 12&amp;87 36.802<br />
<a class="wiki_link" href="/Starling%20temperaments">Nusecond</a>: <a class="wiki_link" href="/101edo">101edo</a> 31&amp;101 50.389<br />
<a class="wiki_link" href="/Tetracot%20family">Octacot</a>: <a class="wiki_link" href="/109edo">109edo</a> 27&amp;41 33.845<br />
<a class="wiki_link" href="/Hemimean%20clan">Semisept</a>: <a class="wiki_link" href="/111edo">111edo</a> 18&amp;31 50.472<br />
<a class="wiki_link" href="/Hemifamity%20temperaments">Buzzard</a>: <a class="wiki_link" href="/111edo">111edo</a> 5&amp;48 47.963<br />
<a class="wiki_link" href="/Schismatic%20family#Guiron">Guiron</a>: <a class="wiki_link" href="/118edo">118edo</a> 36&amp;41 47.544<br />
<a class="wiki_link" href="/Gamelismic%20clan">Hemithirds</a>: <a class="wiki_link" href="/118edo">118edo</a> 25&amp;31 44.284<br />
<a class="wiki_link" href="/Kleismic%20family#Hemikleismic">Hemikleismic</a>: <a class="wiki_link" href="/121edo">121edo</a> 15&amp;38 52.054<br />
<a class="wiki_link" href="/Mirkwai%20clan#Pluto">Pluto</a>: <a class="wiki_link" href="/121edo">121edo</a> 41&amp;80 57.514<br />
<a class="wiki_link" href="/Marvel%20temperaments">Tritonic</a>: <a class="wiki_link" href="/122edo">122edo</a> 2&amp;29 47.578<br />
<a class="wiki_link" href="/Gravity%20family#Gravid">Gravid</a>: <a class="wiki_link" href="/123edo">123edo</a> 58&amp;123 47.283<br />
<a class="wiki_link" href="/Marvel%20temperaments">Slender</a>: <a class="wiki_link" href="/125edo">125edo</a> 1&amp;31 56.934<br />
<a class="wiki_link" href="/Marvel%20temperaments#Merman">Merman</a>: <a class="wiki_link" href="/125edo">125edo</a> 2&amp;41 55.078<br />
<a class="wiki_link" href="/Gamelismic%20clan">Rodan</a>: <a class="wiki_link" href="/128edo">128edo</a> 5&amp;41 37.112<br />
<a class="wiki_link" href="/Hemimean%20clan#Subpental">Subpental</a>: <a class="wiki_link" href="/130edo">130edo</a> 19&amp;111 54.303<br />
<a class="wiki_link" href="/Semicomma%20family">Orwell</a>: <a class="wiki_link" href="/137edo">137edo</a> 9&amp;22 20.375<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Tertiaseptal</a>: <a class="wiki_link" href="/171edo">171edo</a> 31&amp;109 12.995<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Septidiasemi">Septidiasemi</a>: <a class="wiki_link" href="/171edo">171edo</a> 10&amp;151 44.115<br />
<a class="wiki_link" href="/Schismatic%20family">Pontiac</a>: <a class="wiki_link" href="/171edo">171edo</a> 53&amp;118 14.133<br />
<a class="wiki_link" href="/Schismatic%20family">Tsaharuk</a>: <a class="wiki_link" href="/171edo">171edo</a> 17&amp;77 30.697<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Mitonic</a>: <a class="wiki_link" href="/171edo">171edo</a> 46&amp;125 25.184<br />
<a class="wiki_link" href="/Mutt%20family">Mutt</a>: <a class="wiki_link" href="/171edo">171edo</a> 3&amp;84 28.406<br />
<a class="wiki_link" href="/Horwell%20temperaments#Fifthplus">Fifthplus</a>: <a class="wiki_link" href="/171edo">171edo</a> 22&amp;149 25.840<br />
<a class="wiki_link" href="/Landscape%20microtemperaments#Pnict">Pnict</a>: <a class="wiki_link" href="/171edo">171edo</a> 15&amp;141 45.660<br />
<a class="wiki_link" href="/Very%20high%20accuracy%20temperaments#Tokko">Tokko</a>: <a class="wiki_link" href="/171edo">171edo</a> 5&amp;166 44.417<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Seniority">Seniority</a>: <a class="wiki_link" href="/171edo">171edo</a> 26&amp;145 44.877<br />
<a class="wiki_link" href="/Starling%20temperaments">Valentine</a>: <a class="wiki_link" href="/185edo">185edo</a> 15&amp;31 31.056<br />
<a class="wiki_link" href="/Sensipent%20family#Sensei">Sensei</a>: <a class="wiki_link" href="/187edo">187edo</a> 19&amp;84 59.218<br />
<a class="wiki_link" href="/Gamelismic%20clan">Unidec</a>: <a class="wiki_link" href="/190edo">190edo</a> 26&amp;46 38.393<br />
<a class="wiki_link" href="/Kleismic%20family">Catakleismic</a>: <a class="wiki_link" href="/197edo">197edo</a> 19&amp;53 21.501<br />
<a class="wiki_link" href="/Kleismic%20family">Quadritikleismic</a>: <a class="wiki_link" href="/212edo">212edo</a> 4&amp;68 39.231<br />
<a class="wiki_link" href="/Gamelismic%20clan#Hemiseven">Hemiseven</a>: <a class="wiki_link" href="/221edo">221edo</a> 5&amp;72 56.557<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Octoid</a>: <a class="wiki_link" href="/224edo">224edo</a> 72&amp;152 42.670<br />
<a class="wiki_link" href="/Pythagorean%20family">Compton</a>: <a class="wiki_link" href="/228edo">228edo</a> 12&amp;60 35.686<br />
<a class="wiki_link" href="/Kleismic%20family">Tritikleismic</a>: <a class="wiki_link" href="/231edo">231edo</a> 15&amp;57 56.337<br />
<a class="wiki_link" href="/Mirkwai%20clan">Mirkat</a>: <a class="wiki_link" href="/255edo">255edo</a> 72&amp;183 59.376<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Decoid</a>: <a class="wiki_link" href="/270edo">270edo</a> 10&amp;120 33.902<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Acrokleismic">Acrokleismic</a> <a class="wiki_link" href="/270edo">270edo</a> 19&amp;251 56.184<br />
<a class="wiki_link" href="/Porwell%20temperaments#Septisuperfourth">Septisuperfourth</a>: <a class="wiki_link" href="/282edo">282edo</a> 22&amp;86 59.241<br />
<a class="wiki_link" href="/Porwell%20temperaments">Hemischis</a>: <a class="wiki_link" href="/313edo">313edo</a> 24&amp;53 45.817<br />
<a class="wiki_link" href="/W%C3%BCrschmidt%20family">Hemiwürschmidt</a>: <a class="wiki_link" href="/328edo">328edo</a> 6&amp;31 20.307<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a>: <a class="wiki_link" href="/338edo">338edo</a> 41&amp;58 22.243<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Amity</a>: <a class="wiki_link" href="/350edo">350edo</a> 7&amp;39 23.649<br />
<a class="wiki_link" href="/Schismatic%20family">Bischismic</a>: <a class="wiki_link" href="/378edo">378edo</a> 12&amp;118 54.744<br />
<a class="wiki_link" href="/Porwell%20temperaments">Nessafof</a>: <a class="wiki_link" href="/381edo">381edo</a> 15&amp;69 45.478<br />
<a class="wiki_link" href="/Hemifamity%20temperaments#Septiquarter">Septiquarter</a>: <a class="wiki_link" href="/391edo">391edo</a> 5&amp;94 53.760<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Parakleismic</a>: <a class="wiki_link" href="/415edo">415edo</a> 19&amp;80 27.431<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Gamera</a>: <a class="wiki_link" href="/422edo">422edo</a> 26&amp;73 37.648<br />
<a class="wiki_link" href="/Hemimean%20clan#Sengagen">Sengagen</a>: <a class="wiki_link" href="/446edo">446edo</a> 49&amp;50 57.978<br />
<a class="wiki_link" href="/Hemimage%20temperaments#Chromat">Chromat</a>: <a class="wiki_link" href="/456edo">456edo</a> 60&amp;99 57.499<br />
<a class="wiki_link" href="/Kleismic%20family">Countercata</a>: <a class="wiki_link" href="/473edo">473edo</a> 34&amp;53 52.128<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Harry</a>: <a class="wiki_link" href="/534edo">534edo</a> 58&amp;72 34.077<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Ennealimmal</a>: <a class="wiki_link" href="/612edo">612edo</a> 27&amp;45 3.610<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Quinmite">Quinmite</a>: <a class="wiki_link" href="/701edo">701edo</a> 4&amp;95 37.322<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Semidimfourth">Semidimfourth</a>: <a class="wiki_link" href="/875edo">875edo</a> 91&amp;99 55.245<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Quasiorwell</a>: <a class="wiki_link" href="/1111edo">1111edo</a> 31&amp;177 35.832<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Amicable">Amicable</a>: <a class="wiki_link" href="/1131edo">1131edo</a> 99&amp;212 45.473<br />
<a class="wiki_link" href="/Vulture%20family#Vulture">Vulture</a>: <a class="wiki_link" href="/1133edo">1133edo</a> 53&amp;164 36.985<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Emmthird">Emmthird</a> <a class="wiki_link" href="/1255edo">1255edo</a> 58&amp;113 16.736<br />
<a class="wiki_link" href="/Landscape%20microtemperaments#Septichrome">septichrome</a> <a class="wiki_link" href="/1308edo">1308edo</a> 60&amp;111 16.814<br />
<a class="wiki_link" href="/Schismatic%20family">Sesquiquartififths</a>: <a class="wiki_link" href="/1498edo">1498edo</a> 41&amp;89 11.244<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Brahmagupta">Brahmagupta</a>: <a class="wiki_link" href="/1547edo">1547edo</a> 7&amp;217 29.122<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Maviloid">Maviloid</a>: <a class="wiki_link" href="/1614edo">1614edo</a> 76&amp;99 57.632<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Osiris">Osiris</a>: <a class="wiki_link" href="/1696edo">1696edo</a> 157&amp;171 28.307<br />
<a class="wiki_link" href="/Schismatic%20family">Term</a>: <a class="wiki_link" href="/1722edo">1722edo</a> 12&amp;159 19.950<br />
<a class="wiki_link" href="/Gammic%20family">Neptune</a>: <a class="wiki_link" href="/1778edo">1778edo</a> 35&amp;68 23.427<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Abigail</a>: <a class="wiki_link" href="/1798edo">1798edo</a> 46&amp;132 37.000<br />
<a class="wiki_link" href="/Very%20high%20accuracy%20temperaments#Qak">Qak</a>: <a class="wiki_link" href="/1831edo">1831edo</a> 50&amp;121 29.267<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Enneadecal</a>: <a class="wiki_link" href="/2185edo">2185edo</a> 19&amp;152 10.954<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Newt">Newt</a>: <a class="wiki_link" href="/2201edo">2201edo</a> 41&amp;188 41.878<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Subneutral">Subneutral</a>: <a class="wiki_link" href="/2236edo">2236edo</a> 31&amp;348 45.792<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Orga">Orga</a>: <a class="wiki_link" href="/2482edo">2482edo</a> 26&amp;244 40.236<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Supermajor</a>: <a class="wiki_link" href="/6214edo">6214edo</a> 80&amp;171 10.836<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Semidimi">Semidimi</a>: <a class="wiki_link" href="/8419edo">8419edo</a> 171&amp;863 15.075<br />
<a class="wiki_link" href="/Minortonic%20family#Domain">Domain</a>: <a class="wiki_link" href="/22038edo">22038edo</a> 171&amp;1164 13.979<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="x7-limit rank three"></a><!-- ws:end:WikiTextHeadingRule:4 -->7-limit rank three</h1>
 Comma: Optimal patent val: 10^6 * badness<br />
36/35: <a class="wiki_link" href="/12edo">12edo</a> 63.675<br />
49/48: <a class="wiki_link" href="/19edo">19edo</a> 115.514<br />
875/864: <a class="wiki_link" href="/41edo">41edo</a> 212.413<br />
525/512: <a class="wiki_link" href="/45edo">45edo</a> 476.454<br />
686/675: <a class="wiki_link" href="/46edo">46edo</a> 320.094<br />
50/49: <a class="wiki_link" href="/48edo">48edo</a> 127.208<br />
64/63: <a class="wiki_link" href="/49edo">49edo</a> 98.719<br />
1029/1000: <a class="wiki_link" href="/55edo">55edo</a> 678.164<br />
3125/3087: <a class="wiki_link" href="/94edo">94edo</a> 613.731<br />
1728/1715: <a class="wiki_link" href="/111edo">111edo</a> 187.341<br />
2430/2401: <a class="wiki_link" href="/137edo">137edo</a> 518.625<br />
65625/65536: <a class="wiki_link" href="/171edo">171edo</a> 172.601<br />
126/125: <a class="wiki_link" href="/185edo">185edo</a> 69.867<br />
1029/1024: <a class="wiki_link" href="/190edo">190edo</a> 176.105<br />
225/224: <a class="wiki_link" href="/197edo">197edo</a> 36.517<br />
4000/3969: <a class="wiki_link" href="/215edo">215edo</a> 215.550<br />
16875/16807: <a class="wiki_link" href="/224edo">224edo</a> 341.931<br />
245/243: <a class="wiki_link" href="/283edo">283edo</a> 121.191<br />
6144/6125: <a class="wiki_link" href="/381edo">381edo</a> 142.375<br />
5120/5103: <a class="wiki_link" href="/391edo">391edo</a> 153.052<br />
3136/3125: <a class="wiki_link" href="/446edo">446edo</a> 160.039<br />
19683/19600: <a class="wiki_link" href="/587edo">587edo</a> 300.987<br />
10976/10935: <a class="wiki_link" href="/695edo">695edo</a> 199.139<br />
703125/702464: <a class="wiki_link" href="/2185edo">2185edo</a> 149.828<br />
2401/2400: <a class="wiki_link" href="/2749edo">2749edo</a> 15.288<br />
420175/419904: <a class="wiki_link" href="/4306edo">4306edo</a> 86.449<br />
4375/4374: <a class="wiki_link" href="/8419edo">8419edo</a> 11.665<br />
250047/250000: <a class="wiki_link" href="/12555edo">12555edo</a> 21.301<br />
78125000/78121827: <a class="wiki_link" href="/101654edo">101654edo</a> 20.457<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="x11-limit rank two"></a><!-- ws:end:WikiTextHeadingRule:6 -->11-limit rank two</h1>
 Name: Optimal patent val: Val name: 1000*badness<br />
<a class="wiki_link" href="/Archytas%20clan#Fervor">Fervor</a>: <a class="wiki_link" href="/2edo">2edo</a> 2&amp;27e 52.054<br />
<a class="wiki_link" href="/Dicot%20family#Decimal">Decimated</a>: <a class="wiki_link" href="/4edo">4edo</a> 4&amp;10e 31.456<br />
<a class="wiki_link" href="/Starling%20temperaments#Myna%20temperament-Coleto">Coleto</a>: <a class="wiki_link" href="/4edo">4edo</a> 4&amp;27e 48.687<br />
<a class="wiki_link" href="/Meantone%20family#Godzilla-Semafour">Semafour</a>: <a class="wiki_link" href="/5edo">5edo</a> 5&amp;14c 28.510<br />
<a class="wiki_link" href="/Meantone%20family#Maqamic">Maqamic</a>: <a class="wiki_link" href="/7edo">7edo</a> 7&amp;10c 40.240<br />
<a class="wiki_link" href="/Meantone%20family#Dominant-Arnold">Arnold</a>: <a class="wiki_link" href="/7edo">7edo</a> 5&amp;7 26.141<br />
<a class="wiki_link" href="/Porcupine%20family#Hystrix">Hystrix</a>: <a class="wiki_link" href="/7edo">7edo</a> 7&amp;15d 44.944<br />
<a class="wiki_link" href="/Dicot%20family#Dicot">Dicot</a>: <a class="wiki_link" href="/7edo">7edo</a> 4e&amp;7 19.854<br />
<a class="wiki_link" href="/Dicot%20family#Jamesbond">Jamesbond</a>: <a class="wiki_link" href="/7edo">7edo</a> 7&amp;14c 23.524<br />
<a class="wiki_link" href="/Tetracot%20family#Modus">Modus</a>: <a class="wiki_link" href="/7edo">7edo</a> 7&amp;27e 35.149<br />
<a class="wiki_link" href="/Meantone%20family#Ptolemy">Ptolemy</a>: <a class="wiki_link" href="/7edo">7edo</a> 7&amp;38d 58.785<br />
<a class="wiki_link" href="/Marvel%20temperaments">Negric</a>: <a class="wiki_link" href="/9edo">9edo</a> 1&amp;9 30.617<br />
<a class="wiki_link" href="/Mint%20temperaments#Progression">Progression</a>: <a class="wiki_link" href="/9edo">9edo</a> 8d&amp;9 26.050<br />
<a class="wiki_link" href="/Pelogic%20family#Superpelog-11-limit">Superpelog</a>: <a class="wiki_link" href="/9edo">9edo</a> 9&amp;14c 28.535<br />
<a class="wiki_link" href="/Trienstonic%20clan#Octokaidecal">Octokaidecal</a>: <a class="wiki_link" href="/10edo">10edo</a> 10&amp;18e 30.235<br />
<a class="wiki_link" href="/Dicot%20family#Decimal">Decimal</a>: <a class="wiki_link" href="/10edo">10edo</a> 10&amp;14c 26.712<br />
<a class="wiki_link" href="/Dicot%20family#Sharp">Sharp</a>: <a class="wiki_link" href="/10edo">10edo</a> 10&amp;17d 22.366<br />
<a class="wiki_link" href="/Archytas%20clan#Beatles">Ringo</a>: <a class="wiki_link" href="/10edo">10edo</a> 10&amp;17c 32.863<br />
<a class="wiki_link" href="/Dicot%20family#Dichotic">Dichosis</a>: <a class="wiki_link" href="/10edo">10edo</a> 3&amp;10 41.361<br />
<a class="wiki_link" href="/Dicot%20family#Decimal">Decibel</a>: <a class="wiki_link" href="/10edo">10edo</a> 4&amp;6 32.385<br />
<a class="wiki_link" href="/Jubilismic%20clan">Diminished</a>: <a class="wiki_link" href="/12edo">12edo</a> 4&amp;12 22.132<br />
<a class="wiki_link" href="/Diaschismic%20family#Pajara-Pajaric">Pajaric</a>: <a class="wiki_link" href="/12edo">12edo</a> 2&amp;10 23.798<br />
<a class="wiki_link" href="/Meantone%20family#Dominant-11-limit">Dominant</a>: <a class="wiki_link" href="/12edo">12edo</a> 5&amp;12 24.180<br />
<a class="wiki_link" href="/Meantone%20family#Dominant-Domineering">Domineering</a>: <a class="wiki_link" href="/12edo">12edo</a> 7&amp;12 21.978<br />
<a class="wiki_link" href="/Meantone%20family#Injera-Lahoh">Lahoh</a>: <a class="wiki_link" href="/12edo">12edo</a> 12&amp;14ce 43.062<br />
<a class="wiki_link" href="/Jubilismic%20clan#Duodecim">Duodecim</a>: <a class="wiki_link" href="/12edo">12edo</a> 12&amp;24d 30.536<br />
<a class="wiki_link" href="/Schismatic%20family#Schism">Schism</a>: <a class="wiki_link" href="/12edo">12edo</a> 12&amp;41d 37.482<br />
<a class="wiki_link" href="/Meantone%20family#Injera-Injerous">Injerous</a>: <a class="wiki_link" href="/12edo">12edo</a> 12e&amp;14c 38.577<br />
<a class="wiki_link" href="/Augmented%20family#Hexe-11-limit">Hexe</a>: <a class="wiki_link" href="/12edo">12edo</a> 6&amp;12 38.412<br />
<a class="wiki_link" href="/Mint%20temperaments#Ripple">Ripple</a>: <a class="wiki_link" href="/12edo">12edo</a> 1ce&amp;12 38.811<br />
<a class="wiki_link" href="/Mint%20temperaments#Smate">Smate</a>: <a class="wiki_link" href="/14edo">14edo</a> 14&amp;17c 42.518<br />
<a class="wiki_link" href="/Trienstonic%20clan">Opossum</a>: <a class="wiki_link" href="/15edo">15edo</a> 7d&amp;8d 22.325<br />
<a class="wiki_link" href="/Trienstonic%20clan#Kangaroo">Kangaroo</a>: <a class="wiki_link" href="/15edo">15edo</a> 2cde&amp;15 43.195<br />
<a class="wiki_link" href="/Augmented%20family#x-Augene-11-limit">Augene</a>: <a class="wiki_link" href="/15edo">15edo</a> 3&amp;12 19.613<br />
<a class="wiki_link" href="/Archytas%20clan#Progress">Progress</a>: <a class="wiki_link" href="/15edo">15edo</a> 2&amp;13 31.036<br />
<a class="wiki_link" href="/Kleismic%20family#Keemun">Darjeeling</a>: <a class="wiki_link" href="/15edo">15edo</a> 15&amp;19e 27.648<br />
<a class="wiki_link" href="/Archytas%20clan#Blacksmith">Ferrier</a>: <a class="wiki_link" href="/15edo">15edo</a> 5e&amp;15 29.200<br />
<a class="wiki_link" href="/Augmented%20family#Inflated">Inflated</a>: <a class="wiki_link" href="/15edo">15edo</a> 15&amp;48bce 31.171<br />
<a class="wiki_link" href="/Pelogic%20family#Armodue">Armodue</a>: <a class="wiki_link" href="/16edo">16edo</a> 7&amp;9 27.211<br />
<a class="wiki_link" href="/Pelogic%20family#Bipelog-11-limit">Bipelog</a>: <a class="wiki_link" href="/16edo">16edo</a> 2&amp;16 35.694<br />
<a class="wiki_link" href="/Dicot%20family#Dichotic">Dichotic</a>: <a class="wiki_link" href="/17edo">17edo</a> 7&amp;10 30.680<br />
<a class="wiki_link" href="/Dicot%20family#Sidi">Sidi</a>: <a class="wiki_link" href="/17edo">17edo</a> 14c&amp;17 32.957<br />
<a class="wiki_link" href="/Meantone%20family#Dominant-Domination">Domination</a>: <a class="wiki_link" href="/17edo">17c</a> 5e&amp;12e 36.562<br />
<a class="wiki_link" href="/Marvel%20temperaments">Negri</a>: <a class="wiki_link" href="/19edo">19edo</a> 9&amp;10 26.190<br />
<a class="wiki_link" href="/Meantone%20family#Septimal%20meantone-Meanenneadecal">Meanenneadecal</a>: <a class="wiki_link" href="/19edo">19edo</a> 12&amp;19 21.182<br />
<a class="wiki_link" href="/Meantone%20family#Flattone-11-limit">Flattone</a> <a class="wiki_link" href="/19edo">19edo</a> 7&amp;19 33.839<br />
<a class="wiki_link" href="/Meantone%20family#Godzilla-11-limit">Godzilla</a>: <a class="wiki_link" href="/19edo">19edo</a> 14c&amp;19 28.947<br />
<a class="wiki_link" href="/Meantone%20family#Undevigintone">Undevigintone</a>: <a class="wiki_link" href="/19edo">19edo</a> 19&amp;38d 36.387<br />
<a class="wiki_link" href="/Meantone%20family#Septimal%20meantone-Meanundeci">Meanundeci</a>: <a class="wiki_link" href="/19edo">19e</a> 12e&amp;19e 31.539<br />
<a class="wiki_link" href="/Meantone%20family#Liese-Lisa">Lisa</a>: <a class="wiki_link" href="/19edo">19edo</a> 2cde&amp;19 54.829<br />
<a class="wiki_link" href="/Magic%20family#Magic-Horcrux">Horcrux</a>: <a class="wiki_link" href="/19edo">19edo</a> 19&amp;60e 39.282<br />
<a class="wiki_link" href="/Magic%20family#Spell-11-limit">Spell</a>: <a class="wiki_link" href="/19edo">19edo</a> 6&amp;19 59.791<br />
<a class="wiki_link" href="/Unicorn%20family#Rhinoceros">Rhinoceros</a>: <a class="wiki_link" href="/19edo">19edo</a> 1ce&amp;19 59.319<br />
<a class="wiki_link" href="/Marvel%20temperaments#Triton-11-limit">Triton</a>: <a class="wiki_link" href="/19edo">19edo</a> 2&amp;19 45.675<br />
<a class="wiki_link" href="/Kleismic%20family#Keemun-Qeema">Qeema</a>: <a class="wiki_link" href="/19edo">19edo</a> 4e&amp;19 40.056<br />
<a class="wiki_link" href="/Kleismic%20family#Cataleptic">Cataleptic</a>: <a class="wiki_link" href="/19edo">19edo</a> 19&amp;34d 44.335<br />
<a class="wiki_link" href="/Augmented%20family#Oodako-11-limit">Oodako</a>: <a class="wiki_link" href="/21edo">21edo</a> 6&amp;21 59.192<br />
<a class="wiki_link" href="/Diaschismic%20family#Pajara">Pajara</a>: <a class="wiki_link" href="/22edo">22edo</a> 12&amp;22 20.343<br />
<a class="wiki_link" href="/Diaschismic%20family#Pajara">Pajarous</a>: <a class="wiki_link" href="/22edo">22edo</a> 10&amp;22 28.349<br />
<a class="wiki_link" href="/Magic%20family#Magic-Telepathy">Telepathy</a>: <a class="wiki_link" href="/22edo">22edo</a> 19e&amp;22 27.109<br />
<a class="wiki_link" href="/Porcupine%20family#Hedgehog">Hedgehog</a>: <a class="wiki_link" href="/22edo">22edo</a> 14c&amp;22 23.095<br />
<a class="wiki_link" href="/Porcupine%20family#Ceratitid">Ceratitid</a>: <a class="wiki_link" href="/22edo">22edo</a> 1ce&amp;22 51.319<br />
<a class="wiki_link" href="/Jubilismic%20clan#Vigintiduo">Vigintiduo</a>: <a class="wiki_link" href="/22edo">22edo</a> 22&amp;66de 48.372<br />
<a class="wiki_link" href="/Magic%20family#Astrology-11-limit">Astrology</a>: <a class="wiki_link" href="/22edo">22edo</a> 22&amp;60de 39.151<br />
<a class="wiki_link" href="/Magic%20family#Divination">Divination</a>: <a class="wiki_link" href="/22edo">22edo</a> 22&amp;38d 35.864<br />
<a class="wiki_link" href="/Jubilismic%20clan#Doublewide-Fleetwood">Fleetwood</a>: <a class="wiki_link" href="/22edo">22edo</a> 22&amp;26e 35.202<br />
<a class="wiki_link" href="/Archytas%20clan#Quasisuper">Quasisupra</a>: <a class="wiki_link" href="/22edo">22edo</a> 17c&amp;22 32.203<br />
<a class="wiki_link" href="/Comic%20family#Comic-11-limit">Comic</a>: <a class="wiki_link" href="/22edo">22edo</a> 2cde&amp;22 45.052<br />
<a class="wiki_link" href="/Diaschismic%20family#Pajara-Hemipaj">Hemipaj</a>: <a class="wiki_link" href="/22edo">22edo</a> 2&amp;20 38.890<br />
<a class="wiki_link" href="/Meantone%20family#Mohamaq-11-limit">Mohamaq</a>: <a class="wiki_link" href="/24edo">24edo</a> 17c&amp;24 36.207<br />
<a class="wiki_link" href="/Meantone%20family#Godzilla-Baragon">Baragon</a>: <a class="wiki_link" href="/24edo">24edo</a> 5&amp;19 35.673<br />
<a class="wiki_link" href="/Meantone%20family#Godzilla-Varan">Varan</a>: <a class="wiki_link" href="/24edo">24edo</a> 19e&amp;24 39.647<br />
<a class="wiki_link" href="/Augmented%20family#Hemiaug">Hemiaug</a>: <a class="wiki_link" href="/24edo">24edo</a> 24&amp;27e 38.232<br />
<a class="wiki_link" href="/Dimipent%20family#Hemidim">Hemidim</a>: <a class="wiki_link" href="/24edo">24edo</a> 4e&amp;24 56.576<br />
<a class="wiki_link" href="/Dimipent%20family#Semidim">Semidim</a>: <a class="wiki_link" href="/24edo">24edo</a> 24&amp;32c 30.597<br />
<a class="wiki_link" href="/Meantone%20family#Injera-11-limit">Injera</a>: <a class="wiki_link" href="/26edo">26edo</a> 12&amp;26 23.124<br />
<a class="wiki_link" href="/Jubilismic%20clan#Lemba-11-limit">Lemba</a>: <a class="wiki_link" href="/26edo">26edo</a> 10&amp;16 41.563<br />
<a class="wiki_link" href="/Avicennmic%20temperaments#Secund">Secund</a>: <a class="wiki_link" href="/26edo">26edo</a> 9&amp;17 42.562<br />
<a class="wiki_link" href="/Jubilismic%20clan#Crepuscular-11-limit">Crepuscular</a>: <a class="wiki_link" href="/26edo">26edo</a> 26&amp;34d 40.758<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Quartonic-Quarto">Quarto</a>: <a class="wiki_link" href="/26edo">26edo</a> 26&amp;27e 41.786<br />
<a class="wiki_link" href="/Meantone%20family#Mothra-Cynder">Cynder</a>: <a class="wiki_link" href="/26edo">26edo</a> 5e&amp;26 55.706<br />
<a class="wiki_link" href="/Jubilismic%20clan#Doublewide-Cavalier">Cavalier</a>: <a class="wiki_link" href="/26edo">26edo</a> 4e&amp;26 52.899<br />
<a class="wiki_link" href="/Sensipent%20family#Sensi-Sensa">Sensa</a>: <a class="wiki_link" href="/27edo">27edo</a> 19e&amp;27 36.835<br />
<a class="wiki_link" href="/Jubilismic%20clan#Diminished-Demolished">Demolished</a>: <a class="wiki_link" href="/28edo">28edo</a> 12&amp;28 26.574<br />
<a class="wiki_link" href="/Porcupine%20family">Nautilus</a>: <a class="wiki_link" href="/29edo">29edo</a> 15&amp;29 26.023<br />
<a class="wiki_link" href="/Marvel%20temperaments">Negril</a>: <a class="wiki_link" href="/29edo">29edo</a> 19&amp;29 38.679<br />
<a class="wiki_link" href="/Marvel%20temperaments#Negroni">Negroni</a>: <a class="wiki_link" href="/29edo">29edo</a> 10&amp;29 35.296<br />
<a class="wiki_link" href="/Porcupine%20family#Coendou">Coendou</a>: <a class="wiki_link" href="/29edo">29edo</a> 7&amp;29 49.669<br />
<a class="wiki_link" href="/Slendro%20clan#Wilsec">Wilsec</a>: <a class="wiki_link" href="/29edo">29edo</a> 9&amp;20 41.886<br />
<a class="wiki_link" href="/Immunity%20family#Immunity-Impunity">Impunity</a>: <a class="wiki_link" href="/29edo">29edo</a> 5e&amp;29 55.243<br />
<a class="wiki_link" href="/mmunity%20family#Immunity-11-limit">Immunity</a>: <a class="wiki_link" href="/29edo">29edo</a> 5&amp;29 52.661<br />
<a class="wiki_link" href="/Meantone%20family">Mohajira</a>: <a class="wiki_link" href="/31edo">31edo</a> 7&amp;24 26.064<br />
<a class="wiki_link" href="/Meantone%20family">Squares</a>: <a class="wiki_link" href="/31edo">31edo</a> 31&amp;45e 21.636<br />
<a class="wiki_link" href="/Meantone%20family#Cuboctahedra">Cuboctahedra</a>: <a class="wiki_link" href="/31edo">31edo</a> 31&amp;45 56.826<br />
<a class="wiki_link" href="/Meantone%20family#Migration">Migration</a>: <a class="wiki_link" href="/31edo">31edo</a> 31&amp;100de 25.516<br />
<a class="wiki_link" href="/Marvel%20temperaments">Tritonic</a>: <a class="wiki_link" href="/31edo">31edo</a> 2&amp;29 23.659<br />
<a class="wiki_link" href="/Starling%20temperaments">Casablanca</a>: <a class="wiki_link" href="/31edo">31edo</a> 31&amp;42 67.291<br />
<a class="wiki_link" href="/Starling%20temperaments#Myna%20temperament-Myno">Myno</a>: <a class="wiki_link" href="/31edo">31edo</a> 4&amp;27 33.434<br />
<a class="wiki_link" href="/Starling%20temperaments#Cypress-11-limit">Cypress</a>: <a class="wiki_link" href="/31edo">31edo</a> 20cde&amp;31 42.719<br />
<a class="wiki_link" href="/Gamelismic%20clan#Miracle">Revelation</a>: <a class="wiki_link" href="/31edo">31edo</a> 21&amp;31 32.946<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Diesic-11-limit">Diesic</a>: <a class="wiki_link" href="/31edo">31edo</a> 1ce&amp;31 44.186<br />
<a class="wiki_link" href="/Mint%20temperaments#Slurpee">Slurpee</a>: <a class="wiki_link" href="/33edo">33edo</a> 16&amp;33 50.514<br />
<a class="wiki_link" href="/Kleismic%20family">Keemun</a>: <a class="wiki_link" href="/34edo">34edo</a> 4&amp;15 27.410<br />
<a class="wiki_link" href="/Tetracot%20family#Wollemia">Wollemia</a>: <a class="wiki_link" href="/34edo">34edo</a> 27e&amp;34 37.551<br />
<a class="wiki_link" href="/Diaschismic%20family#Anguirus-11-limit">Anguirus</a>: <a class="wiki_link" href="/34edo">34edo</a> 10&amp;24 49.253<br />
<a class="wiki_link" href="/Magic%20family#Muggles-11-limit">Muggles</a>: <a class="wiki_link" href="/35edo">35edo</a> 16&amp;19 48.038<br />
<a class="wiki_link" href="/Greenwoodmic%20temperaments#Greenwood">Greenwood</a>: <a class="wiki_link" href="/35edo">35edo</a> 21&amp;35 57.471<br />
<a class="wiki_link" href="/Meantone%20family#Liese-Liesel">Liesel</a>: <a class="wiki_link" href="/36edo">36edo</a> 19&amp;36 40.721<br />
<a class="wiki_link" href="/Meantone%20family#Liese-Elisa">Elisa</a>: <a class="wiki_link" href="/36edo">36e</a> 19e&amp;36e 41.592<br />
<a class="wiki_link" href="/Pythagorean%20family#Catler%20temperament-Catcall">Catcall</a>: <a class="wiki_link" href="/36edo">36edo</a> 12&amp;24 34.478<br />
<a class="wiki_link" href="/Augmented%20family#Niner">Niner</a>: <a class="wiki_link" href="/36edo">36edo</a> 9&amp;36 34.861<br />
<a class="wiki_link" href="/Archytas%20clan#Beatles">Beatles</a>: <a class="wiki_link" href="/37edo">37edo</a> 27e&amp;37 45.639<br />
<a class="wiki_link" href="/Augmented%20family">Triforce</a>: <a class="wiki_link" href="/39edo">39edo</a> 6&amp;9 20.248<br />
<a class="wiki_link" href="/Schismatic%20family">Cassandra</a>: <a class="wiki_link" href="/41edo">41edo</a> 12&amp;29 23.556<br />
<a class="wiki_link" href="/Gamelismic%20clan">Superkleismic</a>: <a class="wiki_link" href="/41edo">41edo</a> 15&amp;26 25.659<br />
<a class="wiki_link" href="/Gamelismic%20clan#Miracle-Hemimiracle">Hemimiracle</a>: <a class="wiki_link" href="/41edo">41edo</a> 20&amp;21 59.232<br />
<a class="wiki_link" href="/Tetracot%20family#Monkey">Monkey</a>: <a class="wiki_link" href="/41edo">41edo</a> 7&amp;34 38.836<br />
<a class="wiki_link" href="/Tetracot%20family#Bunya">Bunya</a>: <a class="wiki_link" href="/41edo">41edo</a> 7d&amp;41 31.332<br />
<a class="wiki_link" href="/Magic%20family#Hocus">Hocus</a>: <a class="wiki_link" href="/41edo">41edo</a> 38d&amp;41 38.519<br />
<a class="wiki_link" href="/Magic%20family#Witchcraft">Witchcraft</a>: <a class="wiki_link" href="/41edo">41edo</a> 41&amp;60e 30.706<br />
<a class="wiki_link" href="/Magic%20family#Trismegistus-11-limit">Trismegistus</a>: <a class="wiki_link" href="/41edo">41edo</a> 16&amp;41 45.623<br />
<a class="wiki_link" href="/Sensamagic%20clan#Salsa">Salsa</a>: <a class="wiki_link" href="/41edo">41edo</a> 17&amp;24 39.444<br />
<a class="wiki_link" href="/Gamelismic%20clan#Rodan">Varan</a>: <a class="wiki_link" href="/41edo">41edo</a> 41&amp;46e 44.937<br />
<a class="wiki_link" href="/Sensamagic%20clan#Bohpier">Bohpier</a>: <a class="wiki_link" href="/41edo">41edo</a> 41&amp;49 33.949<br />
<a class="wiki_link" href="/Tetracot%20family#Octacot">Octacot</a>: <a class="wiki_link" href="/41edo">41edo</a> 27e&amp;41 24.078<br />
<a class="wiki_link" href="/Keemic%20temperaments#Quasitemp">Quato</a>: <a class="wiki_link" href="/41edo">41edo</a> 4e&amp;41 41.170<br />
<a class="wiki_link" href="/Mirkwai%20clan#Pluto-Plutino">Plutino</a>: <a class="wiki_link" href="/41edo">41edo</a> 2cde&amp;41 57.966<br />
<a class="wiki_link" href="/Augmented%20family#Augene">Eugene</a>: <a class="wiki_link" href="/42edo">42edo</a> 15&amp;27 35.554<br />
<a class="wiki_link" href="/Marvel%20temperaments#Amavil">Amavil</a>: <a class="wiki_link" href="/43edo">43edo</a> 9&amp;43 42.649<br />
<a class="wiki_link" href="/Starling%20temperaments#Kumonga-11-limit">Kumonga</a>: <a class="wiki_link" href="/43edo">43edo</a> 16&amp;43 43.336<br />
<a class="wiki_link" href="/Meantone%20family#Flattone-11-limit">Flattone</a>: <a class="wiki_link" href="/45edo">45edo</a> 7&amp;19 33.839<br />
<a class="wiki_link" href="/Starling%20temperaments">Sensor</a>: <a class="wiki_link" href="/46edo">46edo</a> 19&amp;27 37.942<br />
<a class="wiki_link" href="/Starling%20temperaments">Sensus</a>: <a class="wiki_link" href="/46edo">46edo</a> 46&amp;73 29.486<br />
<a class="wiki_link" href="/Hemifamity%20temperaments">Leapday</a>: <a class="wiki_link" href="/46edo">46edo</a> 29&amp;46 38.624<br />
<a class="wiki_link" href="/Porwell%20temperaments">Twothirdtonic</a>: <a class="wiki_link" href="/46edo">46edo</a> 9&amp;37 40.768<br />
<a class="wiki_link" href="/Gamelismic%20clan#Rodan-Aerodino">Aerodino</a>: <a class="wiki_link" href="/46edo">46edo</a> 5e&amp;46 54.294<br />
<a class="wiki_link" href="/Amity%20family#Bamity">Bamity</a>: <a class="wiki_link" href="/46edo">46edo</a> 14c&amp;46 35.504<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Amity-Accord-11-limit">Accord</a>: <a class="wiki_link" href="/46edo">46edo</a> 7d&amp;46 42.468<br />
<a class="wiki_link" href="/Jubilismic%20clan">Doublewide</a>: <a class="wiki_link" href="/48edo">48edo</a> 4&amp;18 32.058<br />
<a class="wiki_link" href="/Archytas%20clan">Superpyth</a>: <a class="wiki_link" href="/49edo">49edo</a> 22&amp;49 24.976<br />
<a class="wiki_link" href="/Archytas%20clan#Passion">Passion</a>: <a class="wiki_link" href="/49edo">49edo</a> 12&amp;37 40.809<br />
<a class="wiki_link" href="/Kleismic%20family#Catalan-11-limit">Catalan</a>: <a class="wiki_link" href="/49edo">49edo</a> 15&amp;49 36.894<br />
<a class="wiki_link" href="/Porcupine%20family#Porky">Porky</a>: <a class="wiki_link" href="/51edo">51edo</a> 22&amp;51 27.268<br />
<a class="wiki_link" href="/Semicomma%20family">Orwell</a>: <a class="wiki_link" href="/53edo">53edo</a> 9&amp;22 15.231<br />
<a class="wiki_link" href="/Hemifamity%20temperaments#Tricot">Tricot</a>: <a class="wiki_link" href="/53edo">53edo</a> 53&amp;70 56.134<br />
<a class="wiki_link" href="/Kleismic%20family#Cataclysmic">Cataclysmic</a>: <a class="wiki_link" href="/53edo">53edo</a> 53&amp;140d 39.954<br />
<a class="wiki_link" href="/Amity%20family#Hamity">Hamity</a>: <a class="wiki_link" href="/53edo">53edo</a> 14c&amp;53 42.947<br />
<a class="wiki_link" href="/Kleismic%20family#Kleiboh-11-limit">Kleiboh</a>: <a class="wiki_link" href="/53edo">53edo</a> 49&amp;53 52.805<br />
<a class="wiki_link" href="/Maja%20family#Maja-11-limit">Maja</a>: <a class="wiki_link" href="/53edo">53edo</a> 45e&amp;53 49.991<br />
<a class="wiki_link" href="/Schismatic%20family#Garibaldi-Helenus">Helenus</a>: <a class="wiki_link" href="/53edo">53edo</a> 12&amp;53 35.637<br />
<a class="wiki_link" href="/Schismatic%20family#Hemigari">Hemigari</a>: <a class="wiki_link" href="/53edo">53edo</a> 29&amp;53 50.681<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Quartonic-Quartz">Quartz</a>: <a class="wiki_link" href="/53edo">53edo</a> 26&amp;53 53.285<br />
<a class="wiki_link" href="/Sycamore%20family#Sycamore">Sycamore</a>: <a class="wiki_link" href="/56edo">56edo</a> 18&amp;19 55.940<br />
<a class="wiki_link" href="/Diaschismic%20family">Diaschismic</a>: <a class="wiki_link" href="/58edo">58edo</a> 12&amp;46 25.034<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a>: <a class="wiki_link" href="/58edo">58edo</a> 41&amp;58 23.498<br />
<a class="wiki_link" href="/Starling%20temperaments#Thuja-11-limit">Thuja</a>: <a class="wiki_link" href="/58edo">58edo</a> 15&amp;43 33.078<br />
<a class="wiki_link" href="/Unicorn%20family#Alicorn">Alicorn</a>: <a class="wiki_link" href="/58edo">58edo</a> 19&amp;58 39.156<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Secant-11-limit">Secant</a>: <a class="wiki_link" href="/58edo">58edo</a> 26&amp;58 46.373<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Infraorwell-11-limit">Infraorwell</a>: <a class="wiki_link" href="/58edo">58edo</a> 9&amp;49 40.721<br />
<a class="wiki_link" href="/Diaschismic%20family#Sruti">Sruti</a>: <a class="wiki_link" href="/58edo">58edo</a> 24&amp;58 41.459<br />
<a class="wiki_link" href="/Unicorn%20family#Qilin">Qilin</a>: <a class="wiki_link" href="/58edo">58edo</a> 58&amp;77 41.426<br />
<a class="wiki_link" href="/Porcupine%20family">Porcupine</a>: <a class="wiki_link" href="/59edo">59edo</a> 7&amp;15 21.562<br />
<a class="wiki_link" href="/W%C3%BCrschmidt%20family#Worschmidt">Worschmidt</a>: <a class="wiki_link" href="/65edo">65edo</a> 31&amp;65 33.436<br />
<a class="wiki_link" href="/Sensipent%20family#Hemisensi">Hemisensi</a>: <a class="wiki_link" href="/65edo">65edo</a> 27e&amp;65 48.714<br />
<a class="wiki_link" href="/Porcupine%20family#Ammonite">Ammonite</a>: <a class="wiki_link" href="/66edo">66edo</a> 29&amp;37 45.694<br />
<a class="wiki_link" href="/Kleismic%20family#Hemikleismic">Hemikleismic</a>: <a class="wiki_link" href="/68edo">68edo</a> 15&amp;38 38.023<br />
<a class="wiki_link" href="/Gamelismic%20clan">Miracle</a>: <a class="wiki_link" href="/72edo">72edo</a> 10&amp;31 10.684<br />
<a class="wiki_link" href="/Kleismic%20family">Catakleismic</a>: <a class="wiki_link" href="/72edo">72edo</a> 19&amp;53 21.849<br />
<a class="wiki_link" href="/Pythagorean%20family">Compton</a>: <a class="wiki_link" href="/72edo">72edo</a> 12&amp;72 22.235<br />
<a class="wiki_link" href="/Pythagorean%20family#Hours">Hours</a>: <a class="wiki_link" href="/72edo">72edo</a> 24&amp;48 36.248<br />
<a class="wiki_link" href="/Kleismic%20family#Bikleismic">Bikleismic</a>: <a class="wiki_link" href="/72edo">72edo</a> 72&amp;106 29.319<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal-Ennealimnic">Ennealimnic</a>: <a class="wiki_link" href="/72edo">72edo</a> 27e&amp;72 20.697<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal-Ennealiminal">Ennealiminal</a>: <a class="wiki_link" href="/72edo">72edo</a> 27&amp;45 31.123<br />
<a class="wiki_link" href="/Marvel%20temperaments#Marvolo">Marvolo</a>: <a class="wiki_link" href="/72edo">72edo</a> 29&amp;43 28.965<br />
<a class="wiki_link" href="/Kleismic%20family#Catalytic">Catalytic</a>: <a class="wiki_link" href="/72edo">72edo</a> 53e&amp;72 30.422<br />
<a class="wiki_link" href="/Marvel%20temperaments#Enneaportent">Enneaportent</a>: <a class="wiki_link" href="/72edo">72edo</a> 9&amp;54 30.426<br />
<a class="wiki_link" href="/Starling%20temperaments#Casablanca%20temperament-Marrakesh">Marrakesh</a>: <a class="wiki_link" href="/73edo">73edo</a> 31&amp;73 40.539<br />
<a class="wiki_link" href="/Starling%20temperaments">Valentine</a>: <a class="wiki_link" href="/77edo">77edo</a> 15&amp;31 16.687<br />
<a class="wiki_link" href="/Unicorn%20family#Alicorn">Camahueto</a> <a class="wiki_link" href="/77edo">77edo</a> 19&amp;77 65.940<br />
<a class="wiki_link" href="/Diaschismic%20family">Keen</a>: <a class="wiki_link" href="/78edo">78edo</a> 22&amp;56 45.270<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Sentinel-11-limit">Sentinel</a>: <a class="wiki_link" href="/79edo">79edo</a> 14&amp;17 39.595<br />
<a class="wiki_link" href="/Diaschismic%20family">Echidna</a>: <a class="wiki_link" href="/80edo">80edo</a> 22&amp;58 25.987<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Parakleismic-Paradigmic">Paradigmic</a>: <a class="wiki_link" href="/80edo">80edo</a> 19&amp;80 41.720<br />
<a class="wiki_link" href="/Diaschismic%20family">Bidia</a>: <a class="wiki_link" href="/80edo">80edo</a> 12&amp;68 40.191<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Quartonic-11-limit">Quartonic</a>: <a class="wiki_link" href="/80edo">80edo</a> 53&amp;80 34.031<br />
<a class="wiki_link" href="/Meantone%20family">Meanpop</a>: <a class="wiki_link" href="/81edo">81edo</a> 19&amp;31 21.543<br />
<a class="wiki_link" href="/Semicomma%20family#Newspeak">Newspeak</a>: <a class="wiki_link" href="/81edo">81edo</a> 31&amp;84 31.438<br />
<a class="wiki_link" href="/Marvel%20temperaments#Merman-11-limit">Merman</a>: <a class="wiki_link" href="/84edo">84edo</a> 2&amp;41 36.383<br />
<a class="wiki_link" href="/Gamelismic%20clan">Rodan</a>: <a class="wiki_link" href="/87edo">87edo</a> 5&amp;41 23.093<br />
<a class="wiki_link" href="/Kleismic%20family#Clyde">Clyde</a>: <a class="wiki_link" href="/87edo">87edo</a> 19&amp;68 47.41686<br />
<a class="wiki_link" href="/Misty%20family#Misty">Misty</a>: <a class="wiki_link" href="/87edo">87edo</a> 12&amp;87 35.932<br />
<a class="wiki_link" href="/Hemimean%20clan#Emka-11-limit">Emka</a>: <a class="wiki_link" href="/87edo">87edo</a> 37&amp;50 54.744<br />
<a class="wiki_link" href="/Meantone%20family">Mothra</a>: <a class="wiki_link" href="/88edo">88edo</a> 5&amp;26 25.642<br />
<a class="wiki_link" href="/Starling%20temperaments">Myna</a>: <a class="wiki_link" href="/89edo">89edo</a> 31&amp;58 16.842<br />
<a class="wiki_link" href="/Marvel%20temperaments">Septimin</a>: <a class="wiki_link" href="/91edo">91edo</a> 9&amp;32 31.309<br />
<a class="wiki_link" href="/31%20comma%20temperaments#Prajapati">Prajapati</a>: <a class="wiki_link" href="/93edo">93edo</a> 31&amp;93 42.959<br />
<a class="wiki_link" href="/Schismatic%20family">Garibaldi</a>: <a class="wiki_link" href="/94edo">94edo</a> 41&amp;53 27.396<br />
<a class="wiki_link" href="/Sensamagic%20clan#Magus">Magus</a>: <a class="wiki_link" href="/95edo">95edo</a> 46&amp;95 45.108<br />
<a class="wiki_link" href="/Marvel%20temperaments#Submajor-Interpental">Interpental</a>: <a class="wiki_link" href="/96edo">96edo</a> 43&amp;53 51.806<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Hitchcock</a>: <a class="wiki_link" href="/99edo">99edo</a> 7&amp;39 35.187<br />
<a class="wiki_link" href="/W%C3%BCrschmidt%20family#Hemiw%FCrschmidt">Hemiwur</a>: <a class="wiki_link" href="/99edo">99edo</a> 6&amp;31 29.270<br />
<a class="wiki_link" href="/Porwell%20temperaments#Hendecatonic">Hendecatonic</a>: <a class="wiki_link" href="/99edo">99edo</a> 22&amp;55 46.088<br />
<a class="wiki_link" href="/Starling%20temperaments">Nusecond</a>: <a class="wiki_link" href="/101edo">101edo</a> 31&amp;101 25.621<br />
<a class="wiki_link" href="/Magic%20family">Magic</a>: <a class="wiki_link" href="/104edo">104edo</a> 19&amp;22 25.621<br />
<a class="wiki_link" href="/Meantone%20family">Meantone</a>: <a class="wiki_link" href="/105edo">105edo</a> 12&amp;31 17.027<br />
<a class="wiki_link" href="/Starling%20temperaments#Bisemidim-11-limit">Bisemidim</a>: <a class="wiki_link" href="/108edo">108edo</a> 50&amp;58 41.190<br />
<a class="wiki_link" href="/Hemifamity%20temperaments">Buzzard</a>: <a class="wiki_link" href="/111edo">111edo</a> 53&amp;58 34.484<br />
<a class="wiki_link" href="/Diaschismic%20family">Shrutar</a>: <a class="wiki_link" href="/114edo">114edo</a> 22&amp;46 26.489<br />
<a class="wiki_link" href="/Marvel%20temperaments#Submajor-11-limit">Submajor</a>: <a class="wiki_link" href="/116edo">116edo</a> 10&amp;53 50.582<br />
<a class="wiki_link" href="/Gamelismic%20clan">Hemithirds</a>: <a class="wiki_link" href="/118edo">118edo</a> 31&amp;87 19.003<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Parakleismic</a>: <a class="wiki_link" href="/118edo">118edo</a> 19&amp;99 49.711<br />
<a class="wiki_link" href="/Keemic%20temperaments#Quasitemp">Quasitemp</a>: <a class="wiki_link" href="/119edo">119edo</a> 4&amp;37 43.209<br />
<a class="wiki_link" href="/Mirkwai%20clan#Pluto">Pluto</a>: <a class="wiki_link" href="/121edo">121edo</a> 41&amp;80 29.844<br />
<a class="wiki_link" href="/Marvel%20temperaments">Tritoni</a>: <a class="wiki_link" href="/122edo">122edo</a> 31&amp;91 45.456<br />
<a class="wiki_link" href="/Marvel%20temperaments">Slender</a>: <a class="wiki_link" href="/125edo">125edo</a> 31&amp;63 25.342<br />
<a class="wiki_link" href="/Diaschismic%20family#Srutal-11-limit">Srutal</a>: <a class="wiki_link" href="/126edo">126edo</a> 46&amp;80 35.315<br />
<a class="wiki_link" href="/W%C3%BCrschmidt%20family#W%FCrschmidt">Würschmidt</a>: <a class="wiki_link" href="/127edo">127edo</a> 31&amp;96 24.413<br />
<a class="wiki_link" href="/Meantone%20family#Mothra-Mosura">Mosura</a>: <a class="wiki_link" href="/129edo">129edo</a> 31&amp;129 31.334<br />
<a class="wiki_link" href="/W%C3%BCrschmidt%20family">Hemiwürschmidt</a>: <a class="wiki_link" href="/130edo">130edo</a> 31&amp;130 21.069<br />
<a class="wiki_link" href="/Schismatic%20family#Sesquiquartififths">Sesquart</a>: <a class="wiki_link" href="/130edo">130edo</a> 41&amp;89 29.306<br />
<a class="wiki_link" href="/11-limit%20comma%20temperaments#Bosonic">Bosonic</a>: <a class="wiki_link" href="/130edo">130edo</a> 26&amp;130 65.219<br />
<a class="wiki_link" href="/Semicomma%20family#Borwell">Borwell</a>: <a class="wiki_link" href="/137edo">137edo</a> 31&amp;106 38.377<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Tertiaseptal">Tertia</a>: <a class="wiki_link" href="/140edo">140edo</a> 31&amp;109 30.171<br />
<a class="wiki_link" href="/Hemifamity%20temperaments#Ketchup-11-limit">Ketchup</a>: <a class="wiki_link" href="/140edo">140edo</a> 46&amp;94 39.555<br />
<a class="wiki_link" href="/Hemifamity%20temperaments">Mystery</a>: <a class="wiki_link" href="/145edo">145edo</a> 29&amp;58 34.291<br />
<a class="wiki_link" href="/Diaschismic%20family">Echidnic</a>: <a class="wiki_link" href="/148edo">148edo</a> 10&amp;46 45.127<br />
<a class="wiki_link" href="/Sensipent%20family">Heinz</a>: <a class="wiki_link" href="/149edo">149edo</a> 46&amp;103 42.412<br />
<a class="wiki_link" href="/Gamelismic%20clan#Hemiseven">Hemiseven</a>: <a class="wiki_link" href="/149edo">149edo</a> 5&amp;72 28.467<br />
<a class="wiki_link" href="/Mirkwai%20clan">Grendel</a>: <a class="wiki_link" href="/152edo">152edo</a> 31&amp;121 19.845<br />
<a class="wiki_link" href="/Mirkwai%20clan">Kwai</a>: <a class="wiki_link" href="/152edo">152edo</a> 41&amp;111 26.219<br />
<a class="wiki_link" href="/Hemifamity%20temperaments#Supers">Supers</a>: <a class="wiki_link" href="/152edo">152edo</a> 58&amp;94 28.240<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Amity-11-limit">Amity</a>: <a class="wiki_link" href="/152edo">152edo</a> 53&amp;152 31.506<br />
<a class="wiki_link" href="/Porwell%20temperaments#Whoops">Whoops</a>: <a class="wiki_link" href="/152edo">152edo</a> 15&amp;137 43.743<br />
<a class="wiki_link" href="/Unicorn%20family#Alicorn">Monocerus</a>: <a class="wiki_link" href="/154edo">154edo</a> 58&amp;154 52.757<br />
<a class="wiki_link" href="/Schismatic%20family">Guiron</a>: <a class="wiki_link" href="/159edo">159edo</a> 41&amp;77 26.648<br />
<a class="wiki_link" href="/Marvel%20temperaments">Wizard</a>: <a class="wiki_link" href="/166edo">166edo</a> 22&amp;50 18.539<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Parakleismic-Parkleismic">Parkleismic</a>: <a class="wiki_link" href="/179edo">179edo</a> 80&amp;179 55.844<br />
<a class="wiki_link" href="/Gamelismic%20clan">Unidec</a>: <a class="wiki_link" href="/190edo">190edo</a> 26&amp;46 15.479<br />
<a class="wiki_link" href="/Semicomma%20family#Triwell-11-limit">Triwell</a>: <a class="wiki_link" href="/190edo">190edo</a> 31&amp;97 29.807<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Semihemi">Semihemi</a>: <a class="wiki_link" href="/198edo">198edo</a> 58&amp;140 42.487<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Harry</a>: <a class="wiki_link" href="/202edo">202edo</a> 58&amp;72 15.867<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Tertiaseptal</a>: <a class="wiki_link" href="/202edo">202edo</a> 31&amp;171 35.576<br />
<a class="wiki_link" href="/Kleismic%20family#Metakleismic">Metakleismic</a>: <a class="wiki_link" href="/208edo">208edo</a> 87&amp;121 48.570<br />
<a class="wiki_link" href="/Marvel%20temperaments#Marvo">Marvo</a>: <a class="wiki_link" href="/209edo">209edo</a> 72&amp;137 26.882<br />
<a class="wiki_link" href="/Schismatic%20family#Kleischismic">Kleischismic</a>: <a class="wiki_link" href="/212edo">212edo</a> 24&amp;94 36.749<br />
<a class="wiki_link" href="/Hemimean%20clan#Arch">Arch</a>: <a class="wiki_link" href="/217edo">217edo</a> 43&amp;87 36.541<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Octoid</a>: <a class="wiki_link" href="/224edo">224edo</a> 72&amp;152 14.097<br />
<a class="wiki_link" href="/Schismatic%20family#Quanharuk">Quanharuk</a>: <a class="wiki_link" href="/224edo">224edo</a> 41&amp;142 31.549<br />
<a class="wiki_link" href="/Kleismic%20family">Countercata</a>: <a class="wiki_link" href="/227edo">227edo</a> 34&amp;53 39.770<br />
<a class="wiki_link" href="/Kleismic%20family">Tritikleismic</a>: <a class="wiki_link" href="/231edo">231edo</a> 15&amp;57 19.333<br />
<a class="wiki_link" href="/Hemimean%20clan#Subpental">Subpental</a>: <a class="wiki_link" href="/241edo">241edo</a> 19&amp;111 45.352<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal">Ennealimnic</a>: <a class="wiki_link" href="/243edo">243edo</a> 72&amp;171 20.347<br />
<a class="wiki_link" href="/Schismatic%20family">Bischismic</a>: <a class="wiki_link" href="/248edo">248edo</a> 12&amp;118 28.160<br />
<a class="wiki_link" href="/31%20comma%20temperaments#Birds">Birds</a>: <a class="wiki_link" href="/248edo">248edo</a> 31&amp;217 39.921<br />
<a class="wiki_link" href="/Quince%20clan#Essence">Essence</a>: <a class="wiki_link" href="/248edo">248edo</a> 58&amp;190 46.447<br />
<a class="wiki_link" href="/Mirkwai%20clan">Mirkat</a>: <a class="wiki_link" href="/255edo">255edo</a> 72&amp;183 22.126<br />
<a class="wiki_link" href="/Kleismic%20family">Sqrtphi</a>: <a class="wiki_link" href="/265edo">265edo</a> 49&amp;72 25.515<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Quasiorwell</a>: <a class="wiki_link" href="/270edo">270edo</a> 31&amp;208 17.540<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Acrokleismic-Counteracro">Counteracro</a>: <a class="wiki_link" href="/270edo">270edo</a> 270&amp;1061e 42.572<br />
<a class="wiki_link" href="/Marvel%20temperaments">Marvo</a>: <a class="wiki_link" href="/281edo">281edo</a> 72&amp;281 31.685<br />
<a class="wiki_link" href="/Porwell%20temperaments#Septisuperfourth">Septisuperfourth</a>: <a class="wiki_link" href="/282edo">282edo</a> 22&amp;86 24.619<br />
<a class="wiki_link" href="/Sensamagic%20clan">Sensa</a>: <a class="wiki_link" href="/283edo">283edo</a> 22&amp;65 35.844<br />
<a class="wiki_link" href="/Kleismic%20family">Quadritikleismic</a>: <a class="wiki_link" href="/284edo">284edo</a> 4&amp;68 23.406<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Quincy">Quincy</a>: <a class="wiki_link" href="/289edo">289edo</a> 72&amp;217 30.875<br />
<a class="wiki_link" href="/Hemimage%20temperaments#Commatic">Commatic</a>: <a class="wiki_link" href="/294edo">294edo</a> 58&amp;118 30.461<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Neominor">Neominor</a>: <a class="wiki_link" href="/305edo">305edo</a> 72&amp;161 27.958<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Unthirds">Unthirds</a>: <a class="wiki_link" href="/311edo">311edo</a> 72&amp;167 22.926<br />
<a class="wiki_link" href="/Porwell%20temperaments">Hemischis</a>: <a class="wiki_link" href="/313edo">313edo</a> 53&amp;130 36.289<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Semiparakleismic">Semiparakleismic</a>: <a class="wiki_link" href="/316edo">316edo</a> 80&amp;118 34.208<br />
<a class="wiki_link" href="/Werckismic%20temperaments#Octowerck">Octowerck</a>: <a class="wiki_link" href="/320edo">320edo</a> 72&amp;176 30.159<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Hemitert">Hemitert</a>: <a class="wiki_link" href="/342edo">342edo</a> 31&amp;280 15.633<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Hemiamity</a>: <a class="wiki_link" href="/350edo">350edo</a> 46&amp;106 31.307<br />
<a class="wiki_link" href="/Hemimage%20temperaments#Degrees">Degrees</a>: <a class="wiki_link" href="/360edo">360edo</a> 80&amp;140 46.770<br />
<a class="wiki_link" href="/Stearnsmic%20temperaments">Stearnscape</a>: <a class="wiki_link" href="/354edo">354edo</a> 72&amp;282 32.096<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Neusec-13-limit">Neusec</a>: <a class="wiki_link" href="/388edo">388edo</a> 190&amp;388 59.127<br />
<a class="wiki_link" href="/Hemifamity%20temperaments#Alphaquarter">Alphaquarter</a>: <a class="wiki_link" href="/391edo">391edo</a> 87&amp;152 29.638<br />
<a class="wiki_link" href="/Kleismic%20family#Novemkleismic">Novemkleismic</a>: <a class="wiki_link" href="/405edo">405edo</a> 72&amp;261 51.730<br />
<a class="wiki_link" href="/Mirkwai%20clan#Subsemifourth">Subsemifourth</a>: <a class="wiki_link" href="/407edo">407edo</a> 49&amp;103 34.276<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Semiennealimmal</a>: <a class="wiki_link" href="/441edo">441edo</a> 72&amp;441 34.196<br />
<a class="wiki_link" href="/Horwell%20temperaments#Emkay">Emkay</a>: <a class="wiki_link" href="/535edo">535edo</a> 87&amp;137 35.586<br />
<a class="wiki_link" href="/Schismatic%20family#Pogo">Pogo</a>: <a class="wiki_link" href="/578edo">578edo</a> 36&amp;94 31.857<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Quatracot-11-limit">Quatracot</a>: <a class="wiki_link" href="/638edo">638edo</a> 190&amp;224 41.043<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Gamera-Hemigamera">Hemigamera</a>: <a class="wiki_link" href="/646edo">646edo</a> 26&amp;198 40.955<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Brahmagupta">Brahmagupta</a>: <a class="wiki_link" href="/665edo">665edo</a> 7&amp;217 52.190<br />
<a class="wiki_link" href="/Mirkwai%20clan#Eris">Eris</a>: <a class="wiki_link" href="/703edo">703edo</a> 31&amp;193 27.621<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Abigail</a>: <a class="wiki_link" href="/764edo">764edo</a> 46&amp;132 12.860<br />
<a class="wiki_link" href="/Landscape%20microtemperaments#Sextile">Sextile</a>: <a class="wiki_link" href="/1092edo">1092edo</a> 12&amp;270 29.677<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Orga-11-limit">Orga</a>: <a class="wiki_link" href="/1106edo">1106edo</a> 26&amp;244 16.188<br />
<a class="wiki_link" href="/Schismatic%20family#Octant-11-limit">Octant</a>: <a class="wiki_link" href="/1168edo">1168edo</a> 24&amp;224 44.778<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Decoid</a>: <a class="wiki_link" href="/1210edo">1210edo</a> 130&amp;270 18.735<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Deca</a>: <a class="wiki_link" href="/1270edo">1270edo</a> 80&amp;190 24.329<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal-Trinealimmal">Trinealimmal</a>: <a class="wiki_link" href="/1323edo">1323edo</a> 27&amp;243 29.812<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Quasithird-11-limit">Quasithird</a>: <a class="wiki_link" href="/1448edo">1448edo</a> 164&amp;224 21.125<br />
<a class="wiki_link" href="/Schismatic%20family#Sesquiquartififths-Bisesqui">Bisesqui</a>: <a class="wiki_link" href="/1498edo">1498edo</a> 130&amp;212 16.968<br />
<a class="wiki_link" href="/Vishnuzmic%20family#Vishnu">Vishnu</a>: <a class="wiki_link" href="/1502edo">1502edo</a> 118&amp;152 14.180<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Hemiennealimmal</a>: <a class="wiki_link" href="/1566edo">1566edo</a> 72&amp;198 6.283<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Acrokleismic-11-limit">Acrokleismic</a>: <a class="wiki_link" href="/1639edo">1639edo</a> 19&amp;251 36.878<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal-Quadraennealimmal">Quadraennealimmal</a>: <a class="wiki_link" href="/1737edo">1737edo</a> 342&amp;1053 21.320<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Newt">Newt</a>: <a class="wiki_link" href="/1972edo">1972edo</a> 41&amp;188 19.461<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Supermajor-Semisupermajor">Semisupermajor</a>: <a class="wiki_link" href="/2554edo">2554edo</a> 80&amp;342 12.773<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="x11-limit rank three"></a><!-- ws:end:WikiTextHeadingRule:8 -->11-limit rank three</h1>
 Name: Optimal patent val: Val name: 10^5 * badness<br />
<a class="wiki_link" href="/Archytas%20family">Vulcan</a>: <a class="wiki_link" href="/15edo">15edo</a> 2&amp;3&amp;10 57.7113<br />
<a class="wiki_link" href="/Marvel%20family">Potassium</a>: <a class="wiki_link" href="/19edo">19edo</a> 2&amp;9&amp;10 46.3665<br />
<a class="wiki_link" href="/Mint%20family">Nickel</a>: <a class="wiki_link" href="/28edo">28edo</a> 7&amp;9&amp;12 46.3463<br />
<a class="wiki_link" href="/Jubilismic%20family">Festival</a>: <a class="wiki_link" href="/26edo">26edo</a> 2&amp;10&amp;26 68.8510<br />
<a class="wiki_link" href="/Starling%20family">Thrasher</a>: <a class="wiki_link" href="/34edo">34edo</a> 3&amp;4&amp;12 48.0188<br />
<a class="wiki_link" href="/Semaphore%20family">Selenium</a>: <a class="wiki_link" href="/34edo">34edo</a> 4&amp;5&amp;10 66.5377<br />
<a class="wiki_link" href="/Didymus%20rank%20three%20family">Calliope</a>: <a class="wiki_link" href="/45edo">45edo</a> 7&amp;12&amp;19 52.9778<br />
<a class="wiki_link" href="/Jubilismic%20family">Jubilee</a>: <a class="wiki_link" href="/48edo">48edo</a> 4&amp;12&amp;22 55.9842<br />
<a class="wiki_link" href="/Archytas%20family">Ares</a>: <a class="wiki_link" href="/49edo">49edo</a> 3&amp;7&amp;12 46.8874<br />
<a class="wiki_link" href="/Porcupine%20rank%20three%20family">Sonic</a>: <a class="wiki_link" href="/51edo">51edo</a> 7&amp;15&amp;51 52.3158<br />
<a class="wiki_link" href="/Nuwell%20family">Big Brother</a>: <a class="wiki_link" href="/53edo">53edo</a> 9&amp;22&amp;70 50.6556<br />
<a class="wiki_link" href="/Orwellismic%20family#Orwellian">Orwellian</a>: <a class="wiki_link" href="/53edo">53edo</a> 4&amp;5&amp;17 71.513<br />
<a class="wiki_link" href="/Marvel%20family">Prodigy</a>: <a class="wiki_link" href="/72edo">72edo</a> 2&amp;10&amp;29 33.4745<br />
<a class="wiki_link" href="/Mirwomo%20family">Mirwomo</a>: <a class="wiki_link" href="/72edo">72edo</a> 7&amp;10&amp;24 64.0943<br />
<a class="wiki_link" href="/Gamelismic%20family#Gamel">Gamel</a>: <a class="wiki_link" href="/72edo">72edo</a> 5e&amp;31&amp;72 85.266<br />
<a class="wiki_link" href="/Starling%20family#Oxpecker">Oxpecker</a>: <a class="wiki_link" href="/77edo">77edo</a> 8d&amp;15&amp;31 69.945<br />
<a class="wiki_link" href="/Starling%20family#x7-limit%20starling-11-limit">Starling</a>: <a class="wiki_link" href="/77edo">77edo</a> 4&amp;15&amp;27 67.680<br />
<a class="wiki_link" href="/Diaschismic%20family#Srutal-13-limit">Srutal</a>: <a class="wiki_link" href="/80edo">80edo</a> 46&amp;80 25.286<br />
<a class="wiki_link" href="/Didymus%20rank%20three%20family">Erato</a>: <a class="wiki_link" href="/81edo">81edo</a> 12&amp;19&amp;31 55.7521<br />
<a class="wiki_link" href="/Sensamagic%20family#Sensawer">Sensawer</a>: <a class="wiki_link" href="/87edo">87edo</a> 41&amp;46&amp;73 79.632<br />
<a class="wiki_link" href="/Didymus%20rank%20three%20family">Euterpe</a>: <a class="wiki_link" href="/88edo">88edo</a> 5&amp;12&amp;26 53.5809<br />
<a class="wiki_link" href="/Starling%20family">Thrush</a>: <a class="wiki_link" href="/89edo">89edo</a> 3&amp;12&amp;31 35.2591<br />
<a class="wiki_link" href="/Starling%20family">Aplonis</a>: <a class="wiki_link" href="/89edo">89edo</a> 19&amp;31&amp;58 64.7511<br />
<a class="wiki_link" href="/Valinorismic%20temperaments#Mandos">Mandos</a>: <a class="wiki_link" href="/89edo">89edo</a> 7&amp;24&amp;58 75.1090<br />
<a class="wiki_link" href="/Marvel%20family#Malcolm">Malcolm</a>: <a class="wiki_link" href="/94edo">94edo</a> 19e&amp;41&amp;53 124.957<br />
<a class="wiki_link" href="/Sensamagic%20family#Shrusus">Shrusus</a>: <a class="wiki_link" href="/95edo">95edo</a> 22&amp;46&amp;95 87.6795<br />
<a class="wiki_link" href="/Porwell%20family">Zeus</a>: <a class="wiki_link" href="/99edo">99edo</a> 6&amp;7&amp;9 39.9882<br />
<a class="wiki_link" href="/Marvel%20family">Apollo</a>: <a class="wiki_link" href="/104edo">104edo</a> 12&amp;19&amp;22 52.9766<br />
<a class="wiki_link" href="/Keemic%20family#Supermagic">Supermagic</a>: <a class="wiki_link" href="/104edo">104edo</a> 4&amp;7&amp;15 64.0789<br />
<a class="wiki_link" href="/Keemic%20family#Supernatural">Supernatural</a>: <a class="wiki_link" href="/104edo">104edo</a> 19&amp;22&amp;82e 88.8164<br />
<a class="wiki_link" href="/Sensamagic%20family#Octarod">Octarod</a>: <a class="wiki_link" href="/104edo">104edo</a> 19&amp;22&amp;49 58.0664<br />
<a class="wiki_link" href="/Orwellismic%20family">Guanyin</a>: <a class="wiki_link" href="/111edo">111edo</a> 9&amp;22&amp;58 41.1252<br />
<a class="wiki_link" href="/Valinorismic%20temperaments#Manwe">Manwe</a>: <a class="wiki_link" href="/111edo">111edo</a> 15&amp;31&amp;80 67.9150<br />
<a class="wiki_link" href="/Sensamagic%20family#Bisector">Bisector </a>: <a class="wiki_link" href="/114edo">114edo</a> 14c&amp;22&amp;46 108.9026<br />
<a class="wiki_link" href="/Horwell%20family#Zelda">Zelda</a>: <a class="wiki_link" href="/118edo">118edo</a> 9&amp;22&amp;87 64.1882<br />
<a class="wiki_link" href="/Valinorismic%20temperaments#Varda">Varda</a>: <a class="wiki_link" href="/126edo">126edo</a> 12&amp;22&amp;46 72.8125<br />
<a class="wiki_link" href="/Marvel%20family">Minerva</a>: <a class="wiki_link" href="/127edo">127edo</a> 1&amp;9&amp;12 38.1064<br />
<a class="wiki_link" href="/Didymus%20rank%20three%20family">Clio</a>: <a class="wiki_link" href="/129edo">129edo</a> 7&amp;12&amp;24 73.7590<br />
<a class="wiki_link" href="/Hemifamity%20family">Pele</a>: <a class="wiki_link" href="/145edo">145edo</a> 5&amp;12&amp;29 64.8199<br />
<a class="wiki_link" href="/Hemifamity%20family">Laka</a>: <a class="wiki_link" href="/152edo">152edo</a> 41&amp;53&amp;58 82.5317<br />
<a class="wiki_link" href="/Marvel%20family">Marvel</a>: <a class="wiki_link" href="/166edo">166edo</a> 9&amp;10&amp;22 25.5033<br />
<a class="wiki_link" href="/Marvel%20family#Fantastic">Fantastic</a>: <a class="wiki_link" href="/166edo">166edo</a> 12&amp;22&amp;50 74.3439<br />
<a class="wiki_link" href="/Gamelismic%20family">Portent</a>: <a class="wiki_link" href="/190edo">190edo</a> 5&amp;10&amp;26 23.4092<br />
<a class="wiki_link" href="/Breed%20family">Jove</a>: <a class="wiki_link" href="/202edo">202edo</a> 10&amp;31&amp;58 24.1055<br />
<a class="wiki_link" href="/Tolermic%20family">Tolerant</a>: <a class="wiki_link" href="/208edo">208edo</a> 5&amp;41&amp;80 103.923<br />
<a class="wiki_link" href="/Hemimean%20family#Belobog">Belobog</a>: <a class="wiki_link" href="/248edo">248edo</a> 12&amp;31&amp;87 60.9402<br />
<a class="wiki_link" href="/Marvel%20family">Spectacle</a>: <a class="wiki_link" href="/281edo">281edo</a> 10&amp;31&amp;281 49.8669<br />
<a class="wiki_link" href="/Porwell%20family">Jupiter</a>: <a class="wiki_link" href="/282edo">282edo</a> 9&amp;22&amp;108 56.2368<br />
<a class="wiki_link" href="/Sensamagic%20family#Sensamagic-Unidecimal%20sensamagic">Sensamagic</a>: <a class="wiki_link" href="/283edo">283edo</a> 5&amp;17&amp;19 72.231<br />
<a class="wiki_link" href="/Breed%20family">Agni</a>: <a class="wiki_link" href="/284edo">284edo</a> 4&amp;6&amp;27 49.3790<br />
<a class="wiki_link" href="/Kleismic%20rank%20three%20family#Enlil">Enlil</a>: <a class="wiki_link" href="/284edo">284edo</a> 4&amp;15&amp;38 79.8062<br />
<a class="wiki_link" href="/Trimyna%20family#Trimyna-11-limit">Trimyna</a>: <a class="wiki_link" href="/294edo">294edo</a> 2&amp;29&amp;58 81.4047<br />
<a class="wiki_link" href="/Hemimean%20family#Triglav">Triglav</a>: <a class="wiki_link" href="/316edo">316edo</a> 31&amp;80&amp;87 81.896<br />
<a class="wiki_link" href="/Werckismic%20temperaments">Varuna</a>: <a class="wiki_link" href="/320edo">320edo</a> 12&amp;26&amp;46 41.8714<br />
<a class="wiki_link" href="/Werckismic%20temperaments">History</a>: <a class="wiki_link" href="/491edo">491edo</a> 15&amp;29&amp;43 60.3636<br />
<a class="wiki_link" href="/Swetismic%20temperaments">Hades</a>: <a class="wiki_link" href="/578edo">578edo</a> 22&amp;50&amp;58 36.1398<br />
<a class="wiki_link" href="/Cataharry%20family">Albus</a>: <a class="wiki_link" href="/640edo">640edo</a> 19&amp;53&amp;58 62.1100<br />
<a class="wiki_link" href="/Mirkwai%20family">Indra</a>: <a class="wiki_link" href="/703edo">703edo</a> 10&amp;31&amp;152 26.6020<br />
<a class="wiki_link" href="/Lehmerismic%20temperaments#Hanuman">Hanuman</a>: <a class="wiki_link" href="/998edo">998edo</a> 15&amp;57&amp;152 49.965<br />
<a class="wiki_link" href="/Kalismic%20temperaments">Loki</a>: <a class="wiki_link" href="/1092edo">1092edo</a> 12&amp;22&amp;86 49.2550<br />
<a class="wiki_link" href="/Lehmerismic%20temperaments">Ganesha</a>: <a class="wiki_link" href="/1502edo">1502edo</a> 31&amp;87&amp;152 39.0462<br />
<a class="wiki_link" href="/Breed%20family">Freya</a>: <a class="wiki_link" href="/1566edo">1566edo</a> 10&amp;31&amp;167 16.9702<br />
<a class="wiki_link" href="/Lehmerismic%20temperaments">Tyr</a>: <a class="wiki_link" href="/1566edo">1566edo</a> 15&amp;57&amp;183 25.8374<br />
<a class="wiki_link" href="/Breed%20family">Baldur</a>: <a class="wiki_link" href="/1696edo">1696edo</a> 4&amp;58&amp;72 16.6115<br />
<a class="wiki_link" href="/Lehmerismic%20temperaments">Skadi</a>: <a class="wiki_link" href="/2014edo">2014edo</a> 31&amp;97&amp;121 34.8944<br />
<a class="wiki_link" href="/Ragisma%20family">Thor</a>: <a class="wiki_link" href="/2554edo">2554edo</a> 26&amp;46&amp;152 8.8834<br />
<a class="wiki_link" href="/Breed%20family">Ennealimmic</a>: <a class="wiki_link" href="/2619edo">2619edo</a> 27&amp;45&amp;171 27.4685<br />
<a class="wiki_link" href="/Kalismic%20temperaments">Odin</a>: <a class="wiki_link" href="/7464edo">7464edo</a> 12&amp;42&amp;72 11.6151<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="x13-limit rank two"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit rank two</h1>
 Name: Optimal patent val: Val name: 1000*badness<br />
<a class="wiki_link" href="/Jubilismic%20clan#Diminished-13-limit">Diminished</a>: <a class="wiki_link" href="/4edo">4edo</a> 4&amp;8d 19.509<br />
<a class="wiki_link" href="/Meantone%20family#Maqamic-13-limit">Maqamic</a>: <a class="wiki_link" href="/7edo">7edo</a> 7&amp;10c 27.214<br />
<a class="wiki_link" href="/Tetracot%20family#Modus">Modus</a>: <a class="wiki_link" href="/7edo">7edo</a> 7&amp;27e 23.806<br />
<a class="wiki_link" href="/Meantone%20family#Dominant-Arnold">Arnold</a>: <a class="wiki_link" href="/7edo">7edo</a> 5&amp;7 23.300<br />
<a class="wiki_link" href="/Meantone%20family#Dominant-Dominatrix">Dominatrix</a>: <a class="wiki_link" href="/7edo">7edo</a> 7&amp;12f 18.289<br />
<a class="wiki_link" href="/Dicot%20family#Jamesbond">Jamesbond</a>: <a class="wiki_link" href="/7edo">7edo</a> 7&amp;14c 23.003<br />
<a class="wiki_link" href="/Dicot%20family#Jamesbond">Septimal</a>: <a class="wiki_link" href="/7edo">7edo</a> 7&amp;14cf 22.569<br />
<a class="wiki_link" href="/Meantone%20family#Ptolemy-13-limit">Ptolemy</a>: <a class="wiki_link" href="/7edo">7edo</a> 7&amp;38df 34.316<br />
<a class="wiki_link" href="/Mint%20temperaments">Progression</a>: <a class="wiki_link" href="/9edo">9edo</a> 8d&amp;9 18.158<br />
<a class="wiki_link" href="/Marvel%20temperaments">Negric</a>: <a class="wiki_link" href="/9edo">9edo</a> 1&amp;9 20.205<br />
<a class="wiki_link" href="/Bug%20family#Beep">Pentoid</a>: <a class="wiki_link" href="/9edo">9edo</a> 5&amp;9 21.159<br />
<a class="wiki_link" href="/Archytas%20clan#Beatles">Ringo</a>: <a class="wiki_link" href="/10edo">10edo</a> 10&amp;17c 22.619<br />
<a class="wiki_link" href="/Diaschismic%20family#Pajara-Pajaric-13-limit">Pajaric</a>: <a class="wiki_link" href="/10edo">10edo</a> 10&amp;12f 20.461<br />
<a class="wiki_link" href="/Diaschismic%20family#Pajara-Pajaro">Pajaro</a>: <a class="wiki_link" href="/10edo">10edo</a> 10&amp;22f 27.355<br />
<a class="wiki_link" href="/Augmented%20family#August">Augustus</a>: <a class="wiki_link" href="/12edo">12edo</a> 9&amp;12 22.236<br />
<a class="wiki_link" href="/Augmented%20family#Hexe-13-limit">Hexe</a>: <a class="wiki_link" href="/12edo">12edo</a> 6f&amp;12f 35.946<br />
<a class="wiki_link" href="/Mint%20temperaments#Ripple">Ripple</a>: <a class="wiki_link" href="/12edo">12f</a> 1ce&amp;12f 31.639<br />
<a class="wiki_link" href="/Mint%20temperaments#Smate">Smate</a>: <a class="wiki_link" href="/14edo">14edo</a> 14&amp;17c 36.836<br />
<a class="wiki_link" href="/Trienstonic%20clan">Opossum</a>: <a class="wiki_link" href="/15edo">15edo</a> 7d&amp;8d 19.389<br />
<a class="wiki_link" href="/Trienstonic%20clan#Kangaroo">Kangaroo</a>: <a class="wiki_link" href="/15edo">15edo</a> 2cde&amp;15 32.653<br />
<a class="wiki_link" href="/Archytas%20clan#Blacksmith">Blacksmith</a>: <a class="wiki_link" href="/15edo">15edo</a> 5&amp;10 20.498<br />
<a class="wiki_link" href="/Archytas%20clan#Progress">Progress</a>: <a class="wiki_link" href="/15edo">15edo</a> 2&amp;15 26.214<br />
<a class="wiki_link" href="/Porcupine%20family#Porcupine">Porcupine</a>: <a class="wiki_link" href="/15edo">15edo</a> 7&amp;15 21.276<br />
<a class="wiki_link" href="/Porcupine%20family#Nautilus">Belauensis</a>: <a class="wiki_link" href="/15edo">15edo</a> 14c&amp;15 29.816<br />
<a class="wiki_link" href="/Kleismic%20family#Keemun-13-limit-Kumbaya">Kumbaya</a>: <a class="wiki_link" href="/15edo">15edo</a> 4&amp;15 31.633<br />
<a class="wiki_link" href="/Kleismic%20family#Keemun-Darjeeling-13-limit%20Darjeeling">Darjeeling</a>: <a class="wiki_link" href="/15edo">15edo</a> 15&amp;19e 21.445<br />
<a class="wiki_link" href="/Augmented%20family#Augene-11-limit-13-limit">Augene</a>: <a class="wiki_link" href="/15edo">15edo</a> 3&amp;15 20.785<br />
<a class="wiki_link" href="/Augmented%20family#Augene-11-limit-Ogene">Ogene</a>: <a class="wiki_link" href="/15edo">15edo</a> 12&amp;15 22.890<br />
<a class="wiki_link" href="/Pelogic%20family#Armodue-13-limit%20Armodue">Armodue</a>: <a class="wiki_link" href="/16edo">16edo</a> 7&amp;9 19.351<br />
<a class="wiki_link" href="/Meantone%20family#Dominant-Domination-13-limit">Domination</a>: <a class="wiki_link" href="/17edo">17c</a> 5e&amp;12e 27.435<br />
<a class="wiki_link" href="/Archytas%20clan#Progress">Progressive</a>: <a class="wiki_link" href="/17edo">17c</a> 2f&amp;15f 32.721<br />
<a class="wiki_link" href="/Marvel%20temperaments">Negri</a>: <a class="wiki_link" href="/19edo">19edo</a> 9&amp;10 17.833<br />
<a class="wiki_link" href="/Starling%20temperaments">Sensis</a>: <a class="wiki_link" href="/19edo">19edo</a> 8d&amp;19 20.017<br />
<a class="wiki_link" href="/Meantone%20family">Meanenneadecal</a>: <a class="wiki_link" href="/19edo">19edo</a> 12f&amp;19 21.182<br />
<a class="wiki_link" href="/Meantone%20family#Septimal%20meantone-Meanpop-Meanplop">Meanplop</a>: <a class="wiki_link" href="/19edo">19edo</a> 12e&amp;19 27.666<br />
<a class="wiki_link" href="/Meantone%20family#Godzilla-13-limit">Godzilla</a>: <a class="wiki_link" href="/19edo">19edo</a> 14cf&amp;19 22.503<br />
<a class="wiki_link" href="/Meantone%20family#Undevigintone-13-limit">Undevigintone</a>: <a class="wiki_link" href="/19edo">19edo</a> 19&amp;38df 22.933<br />
<a class="wiki_link" href="/Meantone%20family#Liese-Lisa">Lisa</a>: <a class="wiki_link" href="/19edo">19edo</a> 2cde&amp;19 36.144<br />
<a class="wiki_link" href="/Kleismic%20family#Keemun-13-limit">Keemun</a>: <a class="wiki_link" href="/19edo">19edo</a> 4&amp;19 29.749<br />
<a class="wiki_link" href="/Kleismic%20family#Keemun-Qeema-13-limit">Qeema</a>: <a class="wiki_link" href="/19edo">19edo</a> 4ef&amp;19 29.419<br />
<a class="wiki_link" href="/Kleismic%20family#Cataleptic-13-limit">Cataleptic</a>: <a class="wiki_link" href="/19edo">19edo</a> 19&amp;34d 27.343<br />
<a class="wiki_link" href="/Unicorn%20family#Rhinoceros">Rhinoceros</a>: <a class="wiki_link" href="/19edo">19edo</a> 1ce&amp;19 39.343<br />
<a class="wiki_link" href="/Magic%20family#Spell-13-limit">Spell</a>: <a class="wiki_link" href="/19edo">19edo</a> 6&amp;19 45.591<br />
<a class="wiki_link" href="/Magic%20family#Spell-Cantrip">Cantrip</a>: <a class="wiki_link" href="/19edo">19edo</a> 6f&amp;19 41.603<br />
<a class="wiki_link" href="/Magic%20family#Muggles-13-limit">Muggles</a>: <a class="wiki_link" href="/19edo">19edo</a> 16&amp;19 30.386<br />
<a class="wiki_link" href="/Augmented%20family">August</a>: <a class="wiki_link" href="/21edo">21edo</a> 9&amp;21 18.448<br />
<a class="wiki_link" href="/Augmented%20family#Oodako-13-limit">Oodako</a>: <a class="wiki_link" href="/21edo">21edo</a> 6&amp;21 42.323<br />
<a class="wiki_link" href="/Magic%20family#Magic-Telepathy-13-limit%20telepathy">Telepathy</a>: <a class="wiki_link" href="/22edo">22edo</a> 19e&amp;22 25.522<br />
<a class="wiki_link" href="/Magic%20family#Magic-13-limit-Sorcery">Sorcery</a>: <a class="wiki_link" href="/22edo">22edo</a> 19&amp;22 25.829<br />
<a class="wiki_link" href="/Magic%20family#Divination-13-limit">Divination</a>: <a class="wiki_link" href="/22edo">22edo</a> 22f&amp;60e 34.551<br />
<a class="wiki_link" href="/Semicomma%20family#Blair">Blair</a>: <a class="wiki_link" href="/22edo">22edo</a> 9&amp;22 23.086<br />
<a class="wiki_link" href="/Porcupine%20family#Hedgehog">Hedgehog</a>: <a class="wiki_link" href="/22edo">22edo</a> 14cf&amp;22<br />
<a class="wiki_link" href="/Diaschismic%20family#Pajara-13-limit">Pajarous</a>: <a class="wiki_link" href="/22edo">22edo</a> 10&amp;22 25.176<br />
<a class="wiki_link" href="/Diaschismic%20family#Pajara-13-limit">Pajara</a>: <a class="wiki_link" href="/22edo">22edo</a> 12&amp;22 27.642<br />
<a class="wiki_link" href="/Porcupine%20family#Porcupine">Porkpie</a>: <a class="wiki_link" href="/22edo">22edo</a> 7&amp;22 26.043<br />
<a class="wiki_link" href="/Porcupine%20family#Ceratitid">Ceratitid</a>: <a class="wiki_link" href="/22edo">22edo</a> 1ce&amp;22 44.739<br />
<a class="wiki_link" href="/Porcupine%20family#Hedgehog">Urchin</a>: <a class="wiki_link" href="/22edo">22edo</a> 14c&amp;22f 25.233<br />
<a class="wiki_link" href="/Jubilismic%20clan#Doublewide-Fleetwood-13-limit">Fleetwood</a>: <a class="wiki_link" href="/22edo">22edo</a> 22&amp;84bdf 31.835<br />
<a class="wiki_link" href="/Archytas%20clan#Superpyth">Suprapyth</a>: <a class="wiki_link" href="/22edo">22edo</a> 17&amp;22 36.336<br />
<a class="wiki_link" href="/Comic%20family#Comic-13-limit">Comic</a>: <a class="wiki_link" href="/22edo">22edo</a> 2cde&amp;22 41.470<br />
<a class="wiki_link" href="/Magic%20family#Astrology-13-limit">Astrology</a>: <a class="wiki_link" href="/22edo">22edo</a> 6&amp;16 34.376<br />
<a class="wiki_link" href="/Pythagorean%20family#Catler%20temperament">Catcall</a>: <a class="wiki_link" href="/24edo">24edo</a> 12f&amp;24 28.363<br />
<a class="wiki_link" href="/Augmented%20family">Triforce</a>: <a class="wiki_link" href="/24edo">24edo</a> 9&amp;15 20.248<br />
<a class="wiki_link" href="/Augmented%20family#Hemiaug-13-limit">Hemiaug</a>: <a class="wiki_link" href="/24edo">24edo</a> 3de&amp;24 30.159<br />
<a class="wiki_link" href="/Dimipent%20family#Hemidim">Hemidim</a>: <a class="wiki_link" href="/24edo">24edo</a> 4ef&amp;24 39.030<br />
<a class="wiki_link" href="/Dimipent%20family#Semidim">Semidim</a>: <a class="wiki_link" href="/24edo">24edo</a> 24&amp;32c 30.597<br />
<a class="wiki_link" href="/Meantone%20family#Mohamaq-13-limit">Mohamaq</a>: <a class="wiki_link" href="/24edo">24edo</a> 17c&amp;24 28.738<br />
<a class="wiki_link" href="/Meantone%20family#Godzilla-Varan-13-limit">Varan</a>: <a class="wiki_link" href="/24edo">24edo</a> 19e&amp;24 25.676<br />
<a class="wiki_link" href="/Meantone%20family#Injera-13-limit">Injera</a>: <a class="wiki_link" href="/26edo">26edo</a> 26&amp;104bcf 21.565<br />
<a class="wiki_link" href="/Meantone%20family#Flattone-13-limit">Flattone</a>: <a class="wiki_link" href="/26edo">26edo</a> 7&amp;19 22.260<br />
<a class="wiki_link" href="/Jubilismic%20clan#Lemba-13-limit">Lemba</a>: <a class="wiki_link" href="/26edo">26edo</a> 10&amp;16 25.477<br />
<a class="wiki_link" href="/Jubilismic%20clan#Crepuscular-13-limit">Crepuscular</a>: <a class="wiki_link" href="/26edo">26edo</a> 26&amp;34d 24.368<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Quartonic-Quarto-13-limit">Quarto</a>: <a class="wiki_link" href="/26edo">26edo</a> 26&amp;27e 27.692<br />
<a class="wiki_link" href="/Meantone%20family#Mothra-Cynder-13-limit">Cynder</a>: <a class="wiki_link" href="/26edo">26edo</a> 5e&amp;26 34.124<br />
<a class="wiki_link" href="/Avicennmic%20temperaments#Secund">Secundly</a>: <a class="wiki_link" href="/26edo">26edo</a> 9&amp;17 26.212<br />
<a class="wiki_link" href="/Jubilismic%20clan#Doublewide-Cavalier-13-limit">Cavalier</a>: <a class="wiki_link" href="/26edo">26edo</a> 4ef&amp;26 35.040<br />
<a class="wiki_link" href="/Sensipent%20family#Sensi-Sensa">Sensa</a>: <a class="wiki_link" href="/27edo">27edo</a> 19e&amp;27 23.258<br />
<a class="wiki_link" href="/Tetracot%20family#Ponens">Ponens</a>: <a class="wiki_link" href="/27edo">27edo</a> 7&amp;27 39.043<br />
<a class="wiki_link" href="/Archytas%20clan#Fervor">Fervor</a>: <a class="wiki_link" href="/27edo">27edo</a> 2f&amp;27e 39.705<br />
<a class="wiki_link" href="/Tetracot%20family#Octacot">Octocat</a>: <a class="wiki_link" href="/27edo">27e</a> 14cf&amp;27e 27.601<br />
<a class="wiki_link" href="/Starling%20temperaments#Myna%20temperament-Minah">Minah</a>: <a class="wiki_link" href="/27edo">27e</a> 4ef&amp;27e 27.568<br />
<a class="wiki_link" href="/Avicennmic%20temperaments">Roman</a>: <a class="wiki_link" href="/29edo">29edo</a> 3&amp;23 30.043<br />
<a class="wiki_link" href="/Porcupine%20family#Porky">Porky</a>: <a class="wiki_link" href="/29edo">29edo</a> 22&amp;29 26.543<br />
<a class="wiki_link" href="/Porcupine%20family#Coendou">Coendou</a>: <a class="wiki_link" href="/29edo">29edo</a> 7&amp;29 30.233<br />
<a class="wiki_link" href="/Porcupine%20family">Nautilus</a>: <a class="wiki_link" href="/29edo">29edo</a> 15&amp;29 22.285<br />
<a class="wiki_link" href="/Marvel%20temperaments">Negril</a>: <a class="wiki_link" href="/29edo">29edo</a> 19&amp;29 24.383<br />
<a class="wiki_link" href="/Marvel%20temperaments#Negroni-13-limit">Negroni</a>: <a class="wiki_link" href="/29edo">29edo</a> 10&amp;29 21.559<br />
<a class="wiki_link" href="/Slendro%20clan#Wilsec">Wilsec</a>: <a class="wiki_link" href="/29edo">29edo</a> 9&amp;20 25.192<br />
<a class="wiki_link" href="/Trienstonic%20clan#Quindecic">Quindecic</a>: <a class="wiki_link" href="/30edo">30edo</a> 15&amp;30 28.944<br />
<a class="wiki_link" href="/Immunity%20family#Immunity-Impunity-13-limit">Impunity</a>: <a class="wiki_link" href="/29edo">29edo</a> 5e&amp;29 33.196<br />
<a class="wiki_link" href="/Immunity%20family#Immunity-13-limit">Immunity</a>: <a class="wiki_link" href="/29edo">29edo</a> 5&amp;29 37.078<br />
<a class="wiki_link" href="/Meantone%20family">Meantone</a>: <a class="wiki_link" href="/31edo">31edo</a> 12f&amp;31 18.048<br />
<a class="wiki_link" href="/Meantone%20family">Squares</a>: <a class="wiki_link" href="/31edo">31edo</a> 17c&amp;31 25.514<br />
<a class="wiki_link" href="/Meantone%20family#Squares-Agora">Agora</a>: <a class="wiki_link" href="/31edo">31edo</a> 31&amp;76e 24.522<br />
<a class="wiki_link" href="/Meantone%20family#Mohajira-13-limit">Mohajira</a>: <a class="wiki_link" href="/31edo">31edo</a> 7&amp;24 23.388<br />
<a class="wiki_link" href="/Semicomma%20family">Winston</a>: <a class="wiki_link" href="/31edo">31edo</a> 9&amp;31 19.931<br />
<a class="wiki_link" href="/Gamelismic%20clan#Miracle-Revelation-13-limit">Revelation</a>: <a class="wiki_link" href="/31edo">31edo</a> 21&amp;31 29.452<br />
<a class="wiki_link" href="/Marvel%20temperaments#Tritonic">Tritonic</a>: <a class="wiki_link" href="/31edo">31edo</a> 29&amp;31 22.993<br />
<a class="wiki_link" href="/Starling%20temperaments">Lupercalia</a>: <a class="wiki_link" href="/31edo">31edo</a> 15&amp;31 21.328<br />
<a class="wiki_link" href="/Starling%20temperaments#Casablanca%20temperament-Marrakesh-Murakuc">Murakuc</a>: <a class="wiki_link" href="/31edo">31edo</a> 31&amp;73f 41.394<br />
<a class="wiki_link" href="/Starling%20temperaments#Nusecond%20temperament-13-limit">Nusecond</a>: <a class="wiki_link" href="/31edo">31edo</a> 31&amp;70f 23.323<br />
<a class="wiki_link" href="/Starling%20temperaments#Cypress-13-limit">Cypress</a>: <a class="wiki_link" href="/31edo">31edo</a> 11cdeef&amp;31 37.849<br />
<a class="wiki_link" href="/Starling%20temperaments#x5-limit-Maneh">Maneh</a>: <a class="wiki_link" href="/31edo">31edo</a> 4ef&amp;31 29.868<br />
<a class="wiki_link" href="/31%20comma%20temperaments#Prajapati">Prajapati</a>: <a class="wiki_link" href="/31edo">31edo</a> 31&amp;93f 37.885<br />
<a class="wiki_link" href="/W%C3%BCrschmidt%20family#W%C3%BCrschmidt-13-limit">Würschmidt</a>: <a class="wiki_link" href="/31edo">31edo</a> 31&amp;65d 23.593<br />
<a class="wiki_link" href="/W%C3%BCrschmidt%20family#W%C3%BCrschmidt-Worseschmidt">Worseschmidt</a>: <a class="wiki_link" href="/31edo">31edo</a> 3def&amp;31 34.382<br />
<a class="wiki_link" href="/W%C3%BCrschmidt%20family#Hemiw%C3%BCrschmidt-11-limit-Hemithir">Hemithir</a>: <a class="wiki_link" href="/31edo">31edo</a> 31&amp;68e 31.199<br />
<a class="wiki_link" href="/W%C3%BCrschmidt%20family#Hemiw%C3%BCrschmidt-Hemiwur-Hemiwar">Hemiwar</a>: <a class="wiki_link" href="/31edo">31edo</a> 6f&amp;31 44.886<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Sentinel-13-limit">Sentinel</a>: <a class="wiki_link" href="/31edo">31edo</a> 14&amp;17 37.408<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Diesic-13-limit">Diesic</a>: <a class="wiki_link" href="/31edo">31edo</a> 1ce&amp;31 38.116<br />
<a class="wiki_link" href="/Hemimean%20clan#Semisept-11-limit-Semishly">Semishly</a>: <a class="wiki_link" href="/31edo">31edo</a> 31&amp;49f 28.408<br />
<a class="wiki_link" href="/Mint%20temperaments#Slurpee">Slurpee</a>: <a class="wiki_link" href="/33edo">33edo</a> 16&amp;33 33.102<br />
<a class="wiki_link" href="/Kleismic%20family#Keemun-13-limit-Kema">Kema</a>: <a class="wiki_link" href="/34edo">34edo</a> 15&amp;19 22.749<br />
<a class="wiki_link" href="/Tetracot%20family#Wollemia">Wollemia</a>: <a class="wiki_link" href="/34edo">34edo</a> 27e&amp;34 31.219<br />
<a class="wiki_link" href="/Diaschismic%20family#Anguirus-13-limit">Anguirus</a>: <a class="wiki_link" href="/34edo">34edo</a> 10&amp;24 30.829<br />
<a class="wiki_link" href="/Avicennmic%20temperaments#Secund">Secund</a>: <a class="wiki_link" href="/35edo">35edo</a> 9&amp;35 49.684<br />
<a class="wiki_link" href="/Greenwoodmic%20temperaments#Greenwood">Greenwood</a>: <a class="wiki_link" href="/35edo">35edo</a> 21&amp;35 54.009<br />
<a class="wiki_link" href="/Meantone%20family#Liese-13-limit">Liesel</a>: <a class="wiki_link" href="/36edo">36edo</a> 19&amp;36 27.304<br />
<a class="wiki_link" href="/Augmented%20family#Niner-13-limit">Niner</a>: <a class="wiki_link" href="/36edo">36edo</a> 9&amp;36 24.143<br />
<a class="wiki_link" href="/Archytas%20clan#Beatles">Beatles</a>: <a class="wiki_link" href="/37edo">37edo</a> 27e&amp;37 30.161<br />
<a class="wiki_link" href="/Meantone%20family#Injera-Enjera">Enjera</a>: <a class="wiki_link" href="/38edo">38edo</a> 12f&amp;26f 26.542<br />
<a class="wiki_link" href="/Magic%20family#Astrology-Horoscope">Horoscope</a>: <a class="wiki_link" href="/38edo">38edo</a> 16&amp;38 35.284<br />
<a class="wiki_link" href="/Gamelismic%20clan">Miraculous</a>: <a class="wiki_link" href="/41edo">41edo</a> 10&amp;31 18.669<br />
<a class="wiki_link" href="/Gamelismic%20clan">Superkleismic</a>: <a class="wiki_link" href="/41edo">41edo</a> 15&amp;26 21.478<br />
<a class="wiki_link" href="/Gamelismic%20clan#Rodan-Varan-13-limit">Varan</a>: <a class="wiki_link" href="/41edo">41edo</a> 5e&amp;41 32.284<br />
<a class="wiki_link" href="/Gamelismic%20clan#Miracle-Hemimiracle">Hemimiracle</a>: <a class="wiki_link" href="/41edo">41edo</a> 20&amp;21 43.151<br />
<a class="wiki_link" href="/Schismatic%20family">Cassandra</a>: <a class="wiki_link" href="/41edo">41edo</a> 29&amp;41 20.749<br />
<a class="wiki_link" href="/Tetracot%20family">Octacot</a>: <a class="wiki_link" href="/41edo">41edo</a> 27e&amp;41 23.276<br />
<a class="wiki_link" href="/Tetracot%20family#Octacot">Octopod</a>: <a class="wiki_link" href="/41edo">41edo</a> 14cf&amp;41 28.326<br />
<a class="wiki_link" href="/Tetracot%20family#Monkey">Monkey</a>: <a class="wiki_link" href="/41edo">41edo</a> 7&amp;34 28.410<br />
<a class="wiki_link" href="/Tetracot%20family#Bunya">Bunya</a>: <a class="wiki_link" href="/41edo">41edo</a> 7d&amp;41 24.886<br />
<a class="wiki_link" href="/Magic%20family">Magic</a>: <a class="wiki_link" href="/41edo">41edo</a> 19&amp;41 21.509<br />
<a class="wiki_link" href="/Magic%20family#Hocus-13-limit">Hocus</a>: <a class="wiki_link" href="/41edo">41edo</a> 41&amp;79d 30.280<br />
<a class="wiki_link" href="/Magic%20family#Witchcraft-13-limit">Witchcraft</a>: <a class="wiki_link" href="/41edo">41edo</a> 41&amp;60e 23.547<br />
<a class="wiki_link" href="/Magic%20family#Trismegistus-13-limit">Trismegistus</a>: <a class="wiki_link" href="/41edo">41edo</a> 16&amp;41 33.081<br />
<a class="wiki_link" href="/Sensamagic%20clan#Bohpier">Bohpier</a>: <a class="wiki_link" href="/41edo">41edo</a> 41&amp;90ef 24.864<br />
<a class="wiki_link" href="/Sensamagic%20clan#Salsa">Salsa</a>: <a class="wiki_link" href="/41edo">41edo</a> 17&amp;24 30.793<br />
<a class="wiki_link" href="/Mirkwai%20clan#Pluto-Plutino-13-limit">Plutino</a>: <a class="wiki_link" href="/41edo">41edo</a> 2cde&amp;41 40.182<br />
<a class="wiki_link" href="/Keemic%20temperaments#Quasitemp-Quato-13-limit">Quato</a>: <a class="wiki_link" href="/41edo">41edo</a> 4ef&amp;41 30.081<br />
<a class="wiki_link" href="/Octagar%20temperaments#Slendi">Slendi</a>: <a class="wiki_link" href="/41edo">41edo</a> 41&amp;124ef 43.644<br />
<a class="wiki_link" href="/Meantone%20family#Jerome">Jerome</a>: <a class="wiki_link" href="/43edo">43edo</a> 26&amp;43 29.285<br />
<a class="wiki_link" href="/Marvel%20temperaments#Amavil">Amavil</a>: <a class="wiki_link" href="/43edo">43edo</a> 9&amp;43 25.791<br />
<a class="wiki_link" href="/Meantone%20family#Septimal%20meantone-Unidecimal%20meantone%20aka%20Huygens-Meridetone">Meridetone</a>: <a class="wiki_link" href="/43edo">43edo</a> 43&amp;117df 26.421<br />
<a class="wiki_link" href="/Starling%20temperaments#Kumonga-13-limit">Kumonga</a>: <a class="wiki_link" href="/43edo">43edo</a> 16&amp;43 28.920<br />
<a class="wiki_link" href="/Jubilismic%20clan#Vigin">Vigin</a>: <a class="wiki_link" href="/44edo">44edo</a> 22&amp;44 29.849<br />
<a class="wiki_link" href="/Starling%20temperaments">Sensor</a>: <a class="wiki_link" href="/46edo">46edo</a> 19&amp;27 25.474<br />
<a class="wiki_link" href="/Starling%20temperaments">Sensus</a>: <a class="wiki_link" href="/46edo">46edo</a> 46&amp;73 20.789<br />
<a class="wiki_link" href="/Starling%20temperaments">Dwynwen</a>: <a class="wiki_link" href="/46edo">46edo</a> 15&amp;46 23.461<br />
<a class="wiki_link" href="/Hemifamity%20temperaments">Leapday</a>: <a class="wiki_link" href="/46edo">46edo</a> 29&amp;46 24.732<br />
<a class="wiki_link" href="/Porwell%20temperaments">Twothirdtonic</a>: <a class="wiki_link" href="/46edo">46edo</a> 9&amp;37 25.941<br />
<a class="wiki_link" href="/Amity%20family#Bamity">Bamity</a>: <a class="wiki_link" href="/46edo">46edo</a> 14cf&amp;46 30.885<br />
<a class="wiki_link" href="/Sensamagic%20clan#Magus">Magus</a>: <a class="wiki_link" href="/46edo">46edo</a> 3de&amp;46 43.024<br />
<a class="wiki_link" href="/Gamelismic%20clan#Rodan">Aerodactyl</a>: <a class="wiki_link" href="/46edo">46edo</a> 5&amp;46 33.986<br />
<a class="wiki_link" href="/Gamelismic%20clan#Rodan-Aerodino-13-limit">Aerodino</a>: <a class="wiki_link" href="/46edo">46edo</a> 5e&amp;46 35.836<br />
<a class="wiki_link" href="/Archytas%20clan">Superpyth</a>: <a class="wiki_link" href="/49edo">49edo</a> 22&amp;49 24.673<br />
<a class="wiki_link" href="/Kleismic%20family#Cataclysmic">Cataclysmic</a>: <a class="wiki_link" href="/53edo">53edo</a> 53&amp;140d 22.554<br />
<a class="wiki_link" href="/Kleismic%20family#Hemikleismic">Hemikleismic</a>: <a class="wiki_link" href="/53edo">53edo</a> 15&amp;53 26.005<br />
<a class="wiki_link" href="/Semicomma%20family#Orwell-13-limit">Orwell</a>: <a class="wiki_link" href="/53edo">53edo</a> 22&amp;31 19.718<br />
<a class="wiki_link" href="/Semicomma%20family#Doublethink">Doublethink</a>: <a class="wiki_link" href="/53edo">53edo</a> 9&amp;44 27.120<br />
<a class="wiki_link" href="/Hemifamity%20temperaments#Tricot">Tricot</a>: <a class="wiki_link" href="/53edo">53edo</a> 53&amp;70 32.102<br />
<a class="wiki_link" href="/Amity%20family#Hamity">Hamity</a>: <a class="wiki_link" href="/53edo">53edo</a> 14cf&amp;53 29.753<br />
<a class="wiki_link" href="/Kleismic%20family#Kleiboh-13-limit">Kleiboh</a>: <a class="wiki_link" href="/53edo">53edo</a> 4ef&amp;53 31.074<br />
<a class="wiki_link" href="/Maja%20family#Maja-13-limit">Maja</a>: <a class="wiki_link" href="/53edo">53edo</a> 45ef&amp;53 27.532<br />
<a class="wiki_link" href="/Schismatic%20family#Garibaldi-Helenus-13-limit%20Helenus">Helenus</a>: <a class="wiki_link" href="/53edo">53edo</a> 53&amp;118d 26.284<br />
<a class="wiki_link" href="/Schismatic%20family#Hemigari-13-limit">Hemigari</a>: <a class="wiki_link" href="/53edo">53edo</a> 29&amp;53 27.464<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Quartonic-Quartz-13-limit">Quartz</a>: <a class="wiki_link" href="/53edo">53edo</a> 26&amp;53 28.818<br />
<a class="wiki_link" href="/Sycamore%20family#Sycamore">Sycamore</a>: <a class="wiki_link" href="/56edo">56edo</a> 18&amp;19 34.295<br />
<a class="wiki_link" href="/Diaschismic%20family">Diaschismic</a>: <a class="wiki_link" href="/58edo">58edo</a> 46&amp;58 18.926<br />
<a class="wiki_link" href="/Starling%20temperaments">Myna</a>: <a class="wiki_link" href="/58edo">58edo</a> 31&amp;58 17.125<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a>: <a class="wiki_link" href="/58edo">58edo</a> 41&amp;58 19.090<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Infraorwell-13-limit">Infraorwell</a>: <a class="wiki_link" href="/58edo">58edo</a> 9&amp;58 23.683<br />
<a class="wiki_link" href="/Starling%20temperaments#Thuja-13-limit">Thuja</a>: <a class="wiki_link" href="/58edo">58edo</a> 15&amp;43 22.838<br />
<a class="wiki_link" href="/Unicorn%20family#Alicorn">Alicorn</a>: <a class="wiki_link" href="/58edo">58edo</a> 19&amp;58 23.667<br />
<a class="wiki_link" href="/Starling%20temperaments#Bisemidim-13-limit">Bisemidim</a>: <a class="wiki_link" href="/58edo">58edo</a> 50&amp;58 23.877<br />
<a class="wiki_link" href="/Diaschismic%20family#Sruti">Sruti</a>: <a class="wiki_link" href="/58edo">58edo</a> 24&amp;58 23.791<br />
<a class="wiki_link" href="/Unicorn%20family#Qilin">Qilin</a>: <a class="wiki_link" href="/58edo">58edo</a> 58&amp;77 22.842<br />
<a class="wiki_link" href="/31%20comma%20temperaments#Gallium">Gallium</a>: <a class="wiki_link" href="/62edo">62edo</a> 31&amp;62 25.484<br />
<a class="wiki_link" href="/Starling%20temperaments#Valentine%20temperament-Semivalentine">Semivalentine</a>: <a class="wiki_link" href="/62edo">62edo</a> 16&amp;30 32.749<br />
<a class="wiki_link" href="/Meantone%20family#Septimal%20meantone-Unidecimal%20meantone%20aka%20Huygens-Hemimeantone">Hemimeantone</a>: <a class="wiki_link" href="/62edo">62edo</a> 43&amp;62 31.433<br />
<a class="wiki_link" href="/Porcupine%20family">Ammonite</a>: <a class="wiki_link" href="/66edo">66edo</a> 29&amp;37 27.168<br />
<a class="wiki_link" href="/W%C3%BCrschmidt%20family#Hemiw%C3%BCrschmidt-Hemiwur-13-limit">Hemiwur</a>: <a class="wiki_link" href="/68edo">68edo</a> 6&amp;31 28.432<br />
<a class="wiki_link" href="/Gamelismic%20clan">Manna</a>: <a class="wiki_link" href="/72edo">72edo</a> 41&amp;72 17.012<br />
<a class="wiki_link" href="/Gamelismic%20clan">Hendec</a>: <a class="wiki_link" href="/72edo">72edo</a> 26&amp;46 17.707<br />
<a class="wiki_link" href="/Kleismic%20family">Catakleismic</a>: <a class="wiki_link" href="/72edo">72edo</a> 19&amp;53 16.883<br />
<a class="wiki_link" href="/Marvel%20temperaments">Lizard</a>: <a class="wiki_link" href="/72edo">72edo</a> 22&amp;50 21.781<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Neominor">Neominor</a>: <a class="wiki_link" href="/72edo">72edo</a> 72&amp;161f 26.942<br />
<a class="wiki_link" href="/Pythagorean%20family#Compton%20temperament">Compton</a>: <a class="wiki_link" href="/72edo">72edo</a> 72&amp;228f 21.852<br />
<a class="wiki_link" href="/Pythagorean%20family#Compton%20temperament">Comptone</a>: <a class="wiki_link" href="/72edo">72edo</a> 12&amp;72 25.144<br />
<a class="wiki_link" href="/Pythagorean%20family#Hours">Hours</a>: <a class="wiki_link" href="/72edo">72edo</a> 24&amp;72 26.931<br />
<a class="wiki_link" href="/Kleismic%20family#Bikleismic">Bikleismic</a>: <a class="wiki_link" href="/72edo">72edo</a> 72&amp;106 21.814<br />
<a class="wiki_link" href="/Marvel%20temperaments#Marvolo">Marvolo</a>: <a class="wiki_link" href="/72edo">72edo</a> 29&amp;43 21.470<br />
<a class="wiki_link" href="/Gamelismic%20clan#Miracle-Semimiracle">Semimiracle</a>: <a class="wiki_link" href="/72edo">72edo</a> 10&amp;62 24.622<br />
<a class="wiki_link" href="/Kleismic%20family#Catalytic-13-limit">Catalytic</a>: <a class="wiki_link" href="/72edo">72edo</a> 19e&amp;72 22.337<br />
<a class="wiki_link" href="/Marvel%20temperaments#Enneaportent-13-limit">Enneaportent</a>: <a class="wiki_link" href="/72edo">72edo</a> 9&amp;54 22.322<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal-Ennealimmic-Ennealim">Ennealim</a>: <a class="wiki_link" href="/72edo">72edo</a> 27e&amp;72 20.697<br />
<a class="wiki_link" href="/Starling%20temperaments#Casablanca%20temperament-Marrakesh-13-limit">Marrakesh</a>: <a class="wiki_link" href="/73edo">73edo</a> 31&amp;73 40.774<br />
<a class="wiki_link" href="/Meantone%20family#Septimal%20meantone-Unidecimal%20meantone%20aka%20Huygens-Grosstone">Grosstone</a>: <a class="wiki_link" href="/74edo">74edo</a> 12&amp;31 25.899<br />
<a class="wiki_link" href="/Starling%20temperaments">Valentino</a>: <a class="wiki_link" href="/77edo">77edo</a> 31&amp;46 20.665<br />
<a class="wiki_link" href="/Unicorn%20family#Alicorn">Camahueto</a> <a class="wiki_link" href="/77edo">77edo</a> 19&amp;77 36.155<br />
<a class="wiki_link" href="/Diaschismic%20family">Echidna</a>: <a class="wiki_link" href="/80edo">80edo</a> 22&amp;58 23.679<br />
<a class="wiki_link" href="/Diaschismic%20family">Bidia</a>: <a class="wiki_link" href="/80edo">80edo</a> 12&amp;68 41.137<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Parakleismic-Paradigmic-Paradigmic-13-limit">Paradigmic</a>: <a class="wiki_link" href="/80edo">80edo</a> 19&amp;80 35.781<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Quartonic-13-limit">Quartonic</a>: <a class="wiki_link" href="/80edo">80edo</a> 53&amp;80 23.875<br />
<a class="wiki_link" href="/Meantone%20family">Meanpop</a>: <a class="wiki_link" href="/81edo">81edo</a> 19&amp;31 20.883<br />
<a class="wiki_link" href="/Magic%20family#Soothsaying">Soothsaying</a>: <a class="wiki_link" href="/82edo">82edo</a> 22&amp;60 55.443<br />
<a class="wiki_link" href="/Orwellismic%20temperaments#Secant-13-limit">Secant</a>: <a class="wiki_link" href="/84edo">84edo</a> 26&amp;58 46.373<br />
<a class="wiki_link" href="/Gamelismic%20clan">Rodan</a>: <a class="wiki_link" href="/87edo">87edo</a> 41&amp;46 18.448<br />
<a class="wiki_link" href="/Kleismic%20family#Clyde">Clyde</a>: <a class="wiki_link" href="/87edo">87edo</a> 19&amp;68 26.842<br />
<a class="wiki_link" href="/Misty%20family#Misty">Misty</a>: <a class="wiki_link" href="/87edo">87edo</a> 12f&amp;87 27.820<br />
<a class="wiki_link" href="/Hemimean%20clan#Emka-13-limit">Emka</a>: <a class="wiki_link" href="/87edo">87edo</a> 37&amp;50 29.741<br />
<a class="wiki_link" href="/Meantone%20family#Mothra">Mothra</a>: <a class="wiki_link" href="/88edo">88edo</a> 5&amp;26 23.954<br />
<a class="wiki_link" href="/Marvel%20temperaments#Septimin-13-limit">Septimin</a>: <a class="wiki_link" href="/91edo">91edo</a> 9&amp;41 23.117<br />
<a class="wiki_link" href="/31%20comma%20temperaments#Prajapati">Kumhar</a>: <a class="wiki_link" href="/93edo">93edo</a> 31&amp;93 48.582<br />
<a class="wiki_link" href="/Marvel%20temperaments">Slender</a>: <a class="wiki_link" href="/94edo">94edo</a> 31&amp;63 25.913<br />
<a class="wiki_link" href="/Marvel%20temperaments#Submajor-Interpental-13-limit">Interpental</a>: <a class="wiki_link" href="/96edo">96edo</a> 43&amp;53 29.680<br />
<a class="wiki_link" href="/Hemifamity%20temperaments#Supers">Supers</a>: <a class="wiki_link" href="/94edo">94edo</a> 58&amp;94 21.644<br />
<a class="wiki_link" href="/Meantone%20family#Mothra">Mosura</a>: <a class="wiki_link" href="/98edo">98edo</a> 31&amp;67 36.857<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Amity-Hitchcock-13-limit">Hitchcock</a>: <a class="wiki_link" href="/99edo">99edo</a> 7&amp;39 22.448<br />
<a class="wiki_link" href="/Diaschismic%20family">Echidnic</a>: <a class="wiki_link" href="/102edo">102edo</a> 10&amp;46 28.874<br />
<a class="wiki_link" href="/Gamelismic%20clan">Benediction</a>: <a class="wiki_link" href="/103edo">103edo</a> 31&amp;72 15.715<br />
<a class="wiki_link" href="/Magic%20family#Magic-13-limit-Necromancy">Necromancy</a>: <a class="wiki_link" href="/104edo">104edo</a> 22&amp;41 25.275<br />
<a class="wiki_link" href="/Hemifamity%20temperaments">Buzzard</a>: <a class="wiki_link" href="/111edo">111edo</a> 53&amp;58 18.842<br />
<a class="wiki_link" href="/Mirkwai%20clan#Kwai-13-limit">Kwai</a>: <a class="wiki_link" href="/111edo">111edo</a> 41&amp;111 24.555<br />
<a class="wiki_link" href="/Diaschismic%20family">Shrutar</a>: <a class="wiki_link" href="/114edo">114edo</a> 46&amp;68 28.057<br />
<a class="wiki_link" href="/Marvel%20temperaments#Submajor-13-limit">Submajor</a>: <a class="wiki_link" href="/116edo">116edo</a> 10&amp;53 27.689<br />
<a class="wiki_link" href="/Schismatic%20family">Guiron</a>: <a class="wiki_link" href="/118edo">118edo</a> 41&amp;77 28.444<br />
<a class="wiki_link" href="/Gamelismic%20clan#Hemithirds-13-limit">Hemithirds</a>: <a class="wiki_link" href="/118edo">118edo</a> 31&amp;56 21.738<br />
<a class="wiki_link" href="/Schismatic%20family#Kleischismic">Kleischismic</a>: <a class="wiki_link" href="/118edo">118edo</a> 24&amp;94 37.640<br />
<a class="wiki_link" href="/Mirkwai%20clan">Grendel</a>: <a class="wiki_link" href="/121edo">121edo</a> 31&amp;121 24.839<br />
<a class="wiki_link" href="/Mirkwai%20clan#Pluto">Pluto</a>: <a class="wiki_link" href="/121edo">121edo</a> 41&amp;80 25.717<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Harry</a>: <a class="wiki_link" href="/130edo">130edo</a> 58&amp;72 13.046<br />
<a class="wiki_link" href="/11-limit%20comma%20temperaments#Bosonic">Bosonic</a>: <a class="wiki_link" href="/130edo">130edo</a> 26&amp;130 32.946<br />
<a class="wiki_link" href="/Kleismic%20family">Countercata</a>: <a class="wiki_link" href="/140edo">140edo</a> 34&amp;53 20.156<br />
<a class="wiki_link" href="/Hemimage%20temperaments#Degrees">Degrees</a>: <a class="wiki_link" href="/140edo">140edo</a> 80&amp;140 32.718<br />
<a class="wiki_link" href="/Hemifamity%20temperaments#Ketchup-13-limit">Ketchup</a>: <a class="wiki_link" href="/140edo">140edo</a> 46&amp;94 24.824<br />
<a class="wiki_link" href="/Pythagorean%20family#Omicronbeta%20temperament">Omicronbeta</a>: <a class="wiki_link" href="/144edo">144edo</a> 72&amp;144 29.956<br />
<a class="wiki_link" href="/Sensipent%20family">Heinz</a>: <a class="wiki_link" href="/149edo">149edo</a> 46&amp;103 25.779<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Octoid-Octopus">Octopus</a>: <a class="wiki_link" href="/152edo">152edo</a> 72&amp;152 21.679<br />
<a class="wiki_link" href="/Unicorn%20family#Alicorn">Monocerus</a>: <a class="wiki_link" href="/154edo">154edo</a> 58&amp;154 28.795<br />
<a class="wiki_link" href="/Kleismic%20family">Tritikleismic</a>: <a class="wiki_link" href="/159edo">159edo</a> 15&amp;72 15.652<br />
<a class="wiki_link" href="/Marvel%20temperaments">Gizzard</a>: <a class="wiki_link" href="/166edo">166edo</a> 72&amp;166 20.252<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Tertiaseptal">Tertiaseptal</a>: <a class="wiki_link" href="/171edo">171edo</a> 31&amp;171 36.876<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Parakleismic-Parkleismic-13-limit">Parkleismic</a>: <a class="wiki_link" href="/179edo">179edo</a> 80&amp;179 36.559<br />
<a class="wiki_link" href="/Mirkwai%20clan">Mirkat</a>: <a class="wiki_link" href="/183edo">183edo</a> 72&amp;111 18.632<br />
<a class="wiki_link" href="/Gamelismic%20clan">Ekadash</a>: <a class="wiki_link" href="/190edo">190edo</a> 72&amp;118 20.381<br />
<a class="wiki_link" href="/Kleismic%20family">Sqrtphi</a>: <a class="wiki_link" href="/193edo">193edo</a> 72&amp;121 20.040<br />
<a class="wiki_link" href="/Misty%20family#Hemimist">Hemimist</a>: <a class="wiki_link" href="/198edo">198edo</a> 87&amp;111 22.923<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Semihemi">Semihemi</a>: <a class="wiki_link" href="/198edo">198edo</a> 21.188<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Amity-13-limit">Amity</a>: <a class="wiki_link" href="/205edo">205edo</a> 53&amp;205 28.008<br />
<a class="wiki_link" href="/Hemifamity%20temperaments">Quanic</a>: <a class="wiki_link" href="/205edo">205edo</a> 94&amp;111 32.481<br />
<a class="wiki_link" href="/Kleismic%20family">Metakleismic</a>: <a class="wiki_link" href="/208edo">208edo</a> 87&amp;121 24.371<br />
<a class="wiki_link" href="/Kleismic%20family">Quadritikleismic</a>: <a class="wiki_link" href="/212edo">212edo</a> 68&amp;72 18.731<br />
<a class="wiki_link" href="/Hemimean%20clan#Arch">Arch</a>: <a class="wiki_link" href="/217edo">217edo</a> 43&amp;87 19.504<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Octoid</a>: <a class="wiki_link" href="/224edo">224edo</a> 72&amp;224 15.274<br />
<a class="wiki_link" href="/Hemifamity%20temperaments">Mystery</a>: <a class="wiki_link" href="/232edo">232edo</a> 29&amp;58 18.591<br />
<a class="wiki_link" href="/Hemimean%20clan#Subpental">Subpental</a>: <a class="wiki_link" href="/241edo">241edo</a> 19&amp;111 23.940<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal">Ennealimnic</a>: <a class="wiki_link" href="/243edo">243edo</a> 72&amp;171 20.250<br />
<a class="wiki_link" href="/Quince%20clan#Essence">Essence</a>: <a class="wiki_link" href="/248edo">248edo</a> 58&amp;190 26.107<br />
<a class="wiki_link" href="/Mirkwai%20clan#Subsemifourth">Subsemifourth</a>: <a class="wiki_link" href="/255edo">255edo</a> 103&amp;255 28.387<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Hemiennealimmal</a>: <a class="wiki_link" href="/270edo">270edo</a> 72&amp;198 12.505<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Acrokleismic-13-limit">Acrokleismic</a>: <a class="wiki_link" href="/270edo">270edo</a> 19&amp;251 26.818<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Acrokleismic-Counteracro-13-limit">Counteracro</a>: <a class="wiki_link" href="/270edo">270edo</a> 270&amp;1331c 26.028<br />
<a class="wiki_link" href="/Sensamagic%20clan">Sensa</a>: <a class="wiki_link" href="/283edo">283edo</a> 22&amp;65 31.366<br />
<a class="wiki_link" href="/Schismatic%20family">Sextilififths</a>: <a class="wiki_link" href="/289edo">289edo</a> 29&amp;130 25.276<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Quincy">Quincy</a>: <a class="wiki_link" href="/289edo">289edo</a> 72&amp;145 23.862<br />
<a class="wiki_link" href="/W%C3%BCrschmidt%20family#Hemiw%C3%BCrschmidt-11-limit-13-limit">Hemiwürschmidt</a>: <a class="wiki_link" href="/291edo">291edo</a> 31&amp;130 23.074<br />
<a class="wiki_link" href="/Porwell%20temperaments">Hemischis</a>: <a class="wiki_link" href="/313edo">313edo</a> 53&amp;130 20.816<br />
<a class="wiki_link" href="/Werckismic%20temperaments#Octowerck">Octowerck</a>: <a class="wiki_link" href="/320edo">320edo</a> 72&amp;248 27.632<br />
<a class="wiki_link" href="/Kleismic%20family#Novemkleismic">Novemkleismic</a>: <a class="wiki_link" href="/333edo">333edo</a> 72&amp;261 39.072<br />
<a class="wiki_link" href="/Schismatic%20family">Bischismic</a>: <a class="wiki_link" href="/378edo">378edo</a> 12&amp;118 28.722<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Neusec">Neusec</a>: <a class="wiki_link" href="/388edo">388edo</a> 190&amp;198 30.941<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Gamera-Hemigamera-13-limit">Hemigamera</a>: <a class="wiki_link" href="/422edo">422edo</a> 26&amp;198 20.416<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Semiennealimmal</a>: <a class="wiki_link" href="/441edo">441edo</a> 72&amp;441 26.122<br />
<a class="wiki_link" href="/31%20comma%20temperaments#Birds">Birds</a>: <a class="wiki_link" href="/465edo">465edo</a> 31&amp;217 35.680<br />
<a class="wiki_link" href="/Horwell%20temperaments#Emkay">Emkay</a>: <a class="wiki_link" href="/535edo">535edo</a> 87&amp;137 17.853<br />
<a class="wiki_link" href="/11-limit%20comma%20temperaments#Fermionic">Fermionic</a>: <a class="wiki_link" href="/546edo">546edo</a> 130&amp;286 43.581<br />
<a class="wiki_link" href="/Schismatic%20family#Pogo-13-limit">Pogo</a>: <a class="wiki_link" href="/578edo">578edo</a> 36&amp;94 17.514<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Quatracot-13-limit">Quatracot</a>: <a class="wiki_link" href="/638edo">638edo</a> 190&amp;224 22.643<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Unthirds">Unthirds</a>: <a class="wiki_link" href="/694edo">694edo</a> 72&amp;311 20.888<br />
<a class="wiki_link" href="/Schismatic%20family#Octant-13-limit">Octant</a>: <a class="wiki_link" href="/696edo">696edo</a> 24&amp;224 30.425<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Quasithird-13-limit">Quasithird</a>: <a class="wiki_link" href="/836edo">836edo</a> 164&amp;224 29.501<br />
<a class="wiki_link" href="/Breedsmic%20temperaments#Newt">Newt</a>: <a class="wiki_link" href="/851edo">851edo</a> 41&amp;229 13.830<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Decoid</a>: <a class="wiki_link" href="/940edo">940edo</a> 130&amp;270 13.475<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal">Semihemiennealimmal</a> <a class="wiki_link" href="/954edo">954edo</a> 126&amp;144 13.104<br />
<a class="wiki_link" href="/Vishnuzmic%20family#Vishnu-Acyuta">Acyuta</a>: <a class="wiki_link" href="/962edo">962edo</a> 270&amp;692 15.805<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Deca</a>: <a class="wiki_link" href="/1000edo">1000edo</a> 80&amp;190 16.810<br />
<a class="wiki_link" href="/Breedsmic%20temperaments">Quasiorwell</a>: <a class="wiki_link" href="/1111edo">1111edo</a> 31&amp;239 17.921<br />
<a class="wiki_link" href="/Ragismic%20microtemperaments">Abigail</a>: <a class="wiki_link" href="/1258edo">1258edo</a> 46&amp;178 8.856<br />
<a class="wiki_link" href="/Vishnuzmic%20family#Vishnu-Ananta">Ananta</a>: <a class="wiki_link" href="/1468edo">1468edo</a> 118&amp;152 23.678<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="x13-limit rank three"></a><!-- ws:end:WikiTextHeadingRule:12 -->13-limit rank three</h1>
 Name: Optimal patent val: Val name: 10^5 * badness<br />
<a class="wiki_link" href="/Starling%20family">Mockingbird</a>: <a class="wiki_link" href="/15edo">15edo</a> 3&amp;4&amp;15 85.942<br />
<a class="wiki_link" href="/Starling%20family">Catbird</a>: <a class="wiki_link" href="/19edo">19edo</a> 4&amp;12f&amp;19 90.475<br />
<a class="wiki_link" href="/Marvel%20family">Potassium</a>: <a class="wiki_link" href="/19edo">19edo</a> 9&amp;10&amp;11 73.346<br />
<a class="wiki_link" href="/Mint%20family">Nickel</a>: <a class="wiki_link" href="/28edo">28edo</a> 7&amp;9&amp;21 64.705<br />
<a class="wiki_link" href="/Semaphore%20family#Negric">Negric</a>: <a class="wiki_link" href="/29edo">29edo</a> 1&amp;9&amp;10 80.756<br />
<a class="wiki_link" href="/Starling%20family">Nightingale</a>: <a class="wiki_link" href="/31edo">31edo</a> 3&amp;15&amp;28 83.714<br />
<a class="wiki_link" href="/Starling%20family">Thrasher</a>: <a class="wiki_link" href="/34edo">34edo</a> 12&amp;15&amp;19 87.636<br />
<a class="wiki_link" href="/Semaphore%20family">Selenium</a>: <a class="wiki_link" href="/34edo">34edo</a> 5&amp;9&amp;10 78.368<br />
<a class="wiki_link" href="/Sengic%20family">Krypton</a>: <a class="wiki_link" href="/36edo">36edo</a> 9&amp;10&amp;36 72.673<br />
<a class="wiki_link" href="/Gamelismic%20family">Foreboding</a>: <a class="wiki_link" href="/41edo">41edo</a> 5&amp;10&amp;26 87.267<br />
<a class="wiki_link" href="/Marvel%20family#Prodigy">Prodigy</a>: <a class="wiki_link" href="/41edo">41edo</a> 10&amp;29&amp;31 73.639<br />
<a class="wiki_link" href="/Starling%20family#Thrush-Veery">Veery</a>: <a class="wiki_link" href="/46edo">46edo</a> 12&amp;15&amp;46 99.122<br />
<a class="wiki_link" href="/Marvel%20family">Athene</a>: <a class="wiki_link" href="/53edo">53edo</a> 12f&amp;22&amp;53 81.781<br />
<a class="wiki_link" href="/Starling%20family">Thrush</a>: <a class="wiki_link" href="/58edo">58edo</a> 31&amp;46&amp;58 67.663<br />
<a class="wiki_link" href="/Starling%20family">Bluebird</a>: <a class="wiki_link" href="/58edo">58edo</a> 12&amp;15&amp;31 91.548<br />
<a class="wiki_link" href="/Starling%20family">Aplonis</a>: <a class="wiki_link" href="/58edo">58edo</a> 19&amp;31&amp;58 82.078<br />
<a class="wiki_link" href="/Breed%20family">Jofur</a>: <a class="wiki_link" href="/58edo">58edo</a> 10&amp;31&amp;58 74.932<br />
<a class="wiki_link" href="/Marvel%20family">Deecee</a>: <a class="wiki_link" href="/72edo">72edo</a> 9&amp;22&amp;41 92.048<br />
<a class="wiki_link" href="/Marvel%20family#Prodigy">Prodigious</a>: <a class="wiki_link" href="/72edo">72edo</a> 2&amp;29&amp;41 89.974<br />
<a class="wiki_link" href="/Valinorismic%20temperaments#Varda">Varda</a>: <a class="wiki_link" href="/80edo">80edo</a> 22&amp;46&amp;58 97.041<br />
<a class="wiki_link" href="/Sensamagic%20family#Sensawer-13-limit">Sensawer</a>: <a class="wiki_link" href="/87edo">87edo</a> 41&amp;46&amp;73 92.807<br />
<a class="wiki_link" href="/Marvel%20family">Tripod</a>: <a class="wiki_link" href="/91edo">91edo</a> 9&amp;10&amp;31 74.546<br />
<a class="wiki_link" href="/Marvel%20family">Isis</a>: <a class="wiki_link" href="/94edo">94edo</a> 10&amp;22&amp;31 86.583<br />
<a class="wiki_link" href="/Marvel%20family#Malcolm">Malcolm</a>: <a class="wiki_link" href="/94edo">94edo</a> 19e&amp;41&amp;53 107.452<br />
<a class="wiki_link" href="/Marvel%20family">Marvel</a>: <a class="wiki_link" href="/103edo">103edo</a> 19&amp;22&amp;31 68.977<br />
<a class="wiki_link" href="/Marvel%20family#Prodigy">Prodigal</a>: <a class="wiki_link" href="/103edo">103edo</a> 31&amp;72&amp;84 88.910<br />
<a class="wiki_link" href="/Marvel%20family#Mirage">Mirage</a>: <a class="wiki_link" href="/103edo">103edo</a> 10&amp;31&amp;62 73.850<br />
<a class="wiki_link" href="/Marvel%20family#Apollo">Apollo</a>: <a class="wiki_link" href="/104edo">104edo</a> 22&amp;29&amp;41 103.106<br />
<a class="wiki_link" href="/Swetismic%20temperaments#Hades-Cerberus">Cerberus</a>: <a class="wiki_link" href="/130edo">130edo</a> 22&amp;50&amp;58 76.512<br />
<a class="wiki_link" href="/Gamelismic%20family">Ominous</a>: <a class="wiki_link" href="/149edo">149edo</a> 5&amp;26&amp;46 75.055<br />
<a class="wiki_link" href="/Gamelismic%20family">Portending</a>: <a class="wiki_link" href="/159edo">159edo</a> 15&amp;26&amp;46 62.715<br />
<a class="wiki_link" href="/Gamelismic%20family">Momentous</a>: <a class="wiki_link" href="/164edo">164edo</a> 10&amp;31&amp;46 83.202<br />
<a class="wiki_link" href="/Marvel%20family">Hecate</a>: <a class="wiki_link" href="/166edo">166edo</a> 19&amp;41&amp;53 72.113<br />
<a class="wiki_link" href="/Marvel%20family">Marvell</a>: <a class="wiki_link" href="/166edo">166edo</a> 9&amp;31&amp;63 86.160<br />
<a class="wiki_link" href="/Valinorismic%20temperaments#Ulmo">Ulmo</a>: <a class="wiki_link" href="/179edo">179edo</a> 7&amp;39&amp;80 93.162<br />
<a class="wiki_link" href="/Mirkwai%20family#Indra-Vibhu">Vibhu</a>: <a class="wiki_link" href="/183edo">183edo</a> 31&amp;72&amp;111 82.598<br />
<a class="wiki_link" href="/Gamelismic%20family">Portentous</a>: <a class="wiki_link" href="/190edo">190edo</a> 15&amp;31&amp;56 66.119<br />
<a class="wiki_link" href="/Mirkwai%20family#Indra-Vish">Vish</a>: <a class="wiki_link" href="/193edo">193edo</a> 41&amp;72&amp;121 92.976<br />
<a class="wiki_link" href="/Swetismic%20temperaments#Minos-13-limit">Minos</a>: <a class="wiki_link" href="/193edo">193edo</a> 9&amp;54&amp;58 72.381<br />
<a class="wiki_link" href="/Hemifamity%20family#Namaka">Namaka</a>: <a class="wiki_link" href="/198edo">198edo</a> 29&amp;53&amp;58 78.124<br />
<a class="wiki_link" href="/Hemifamity%20family">Laka</a>: <a class="wiki_link" href="/205edo">205edo</a> 41&amp;53&amp;58 82.186<br />
<a class="wiki_link" href="/The%20Archipelago#Rank%20three%20temperaments">Kujuku</a> <a class="wiki_link" href="/208edo">208edo</a> 24&amp;29&amp;58 105.976<br />
<a class="wiki_link" href="/Tolermic%20family">Tolerant</a>: <a class="wiki_link" href="/208edo">208edo</a> 41&amp;46&amp;80 102.099<br />
<a class="wiki_link" href="/Breed%20family">Agni</a>: <a class="wiki_link" href="/212edo">212edo</a> 6&amp;31&amp;72 92.251<br />
<a class="wiki_link" href="/Mirkwai%20family#Indra-Yajna">Yajna</a>: <a class="wiki_link" href="/224edo">224edo</a> 31&amp;72&amp;121 69.986<br />
<a class="wiki_link" href="/Hemifamity%20family">Pele</a>: <a class="wiki_link" href="/232edo">232edo</a> 29&amp;41&amp;46 70.328<br />
<a class="wiki_link" href="/Trimyna%20family#Trimyna-13-limit">Trimyna</a>: <a class="wiki_link" href="/232edo">232edo</a> 29&amp;31&amp;56 81.405<br />
<a class="wiki_link" href="/Breed%20family">Jovial</a>: <a class="wiki_link" href="/243edo">243edo</a> 41&amp;58&amp;72 62.380<br />
<a class="wiki_link" href="/The%20Archipelago">Borneo</a>: <a class="wiki_link" href="/270edo">270edo</a> 15&amp;72&amp;111 54.937<br />
<a class="wiki_link" href="/Werckismic%20temperaments">History</a>: <a class="wiki_link" href="/289edo">289edo</a> 15&amp;29&amp;43 53.955<br />
<a class="wiki_link" href="/Kleismic%20rank%20three%20family#Enlil">Enlil</a>: <a class="wiki_link" href="/299edo">299edo</a> 15&amp;19&amp;53 68.005<br />
<a class="wiki_link" href="/Cataharry%20family">Madagascar</a>: <a class="wiki_link" href="/313edo">313edo</a> 19&amp;53&amp;58 56.006<br />
<a class="wiki_link" href="/Hemifamity%20family#Akea">Akea</a>: <a class="wiki_link" href="/321edo">321edo</a> 7&amp;34&amp;46 82.191<br />
<a class="wiki_link" href="/Breed%20family">Jovis</a>: <a class="wiki_link" href="/363edo">363edo</a> 31&amp;58&amp;72 54.221<br />
<a class="wiki_link" href="/Lehmerismic%20temperaments#Hanuman">Hanuman</a>: <a class="wiki_link" href="/535edo">535edo</a> 15&amp;72&amp;137 65.278<br />
<a class="wiki_link" href="/Swetismic%20temperaments#Hades">Hades</a>: <a class="wiki_link" href="/578edo">578edo</a> 36&amp;58&amp;72 53.531<br />
<a class="wiki_link" href="/Breed%20family">Vili</a>: <a class="wiki_link" href="/643edo">643edo</a> 37&amp;93&amp;103 73.821<br />
<a class="wiki_link" href="/Mirkwai%20family#Indra-Shibi">Shibi</a>: <a class="wiki_link" href="/703edo">703edo</a> 41&amp;72&amp;111 72.094<br />
<a class="wiki_link" href="/Breed%20family">Greenland</a>: <a class="wiki_link" href="/940edo">940edo</a> 58&amp;72&amp;198 44.343<br />
<a class="wiki_link" href="/The%20Archipelago">Baffin</a>: <a class="wiki_link" href="/940edo">940edo</a> 34&amp;43&amp;53 60.443<br />
<a class="wiki_link" href="/Breed%20family">Ennealimmic</a>: <a class="wiki_link" href="/981edo">981edo</a> 27&amp;72&amp;171 75.488<br />
<a class="wiki_link" href="/Breed%20family">Zisa</a>: <a class="wiki_link" href="/1241edo">1241edo</a> 21&amp;31&amp;109 82.974<br />
<a class="wiki_link" href="/Ragisma%20family">Thunor</a>: <a class="wiki_link" href="/1258edo">1258edo</a> 26&amp;46&amp;178 34.135<br />
<a class="wiki_link" href="/Breed%20family">Frigg</a>: <a class="wiki_link" href="/1344edo">1344edo</a> 6&amp;58&amp;103 93.387<br />
<a class="wiki_link" href="/Ragisma%20family">Donar</a>: <a class="wiki_link" href="/1448edo">1448edo</a> 46&amp;80&amp;144 32.154<br />
<a class="wiki_link" href="/Ragisma%20family">Rym</a>: <a class="wiki_link" href="/1870edo">1870edo</a> 46&amp;106&amp;118 54.933<br />
<a class="wiki_link" href="/Breed%20family">Freya</a>: <a class="wiki_link" href="/2615edo">2615edo</a> 10&amp;31&amp;229 85.515</body></html>