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__FORCETOC__
The '''optimal patent val''' for a [[regular temperament]] is the unique [[patent val]] that [[support]]s the temperament with the lowest [[error]].
Given any collection of ''p''-limit commas, there is a finite list of ''p''-limit [[patent val]]s 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 [[TE error]]; this is the (TE) '''optimal 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.
 
Given any temperament, which is characterized by the [[comma]]s it [[tempering out|tempers out]], there is a finite list of [[patent val]]s that temper out all the commas of the temperament in the same [[subgroup]]. The list is not guaranteed to contain any members, but in most actual circumstances it will. If the list is not empty, then among these patent vals will be found the one which has the lowest [[TE error]]; this is the (TE) optimal patent val for the temperament. Note that other definitions of error lead to different results.
 
On this wiki, the optimal patent val for each temperament is given as the last patent val in the [[optimal ET sequence]], or stated explicitly in case it is not a member of the sequence.  


== Instructions ==
== Instructions ==
Line 57: Line 60:
7629394531250/7625597484987: [[3501edo|3501et]] 17.191
7629394531250/7625597484987: [[3501edo|3501et]] 17.191


===7-limit rank two===
=== 7-limit rank two ===
Name: ET w/ optimal patent val: Val name: 1000*badness
Name: ET w/ optimal patent val: Val name: 1000*badness


Line 68: Line 71:
[[Archytas clan|Mother]]: [[5edo|5et]] 2&3 24.152
[[Archytas clan|Mother]]: [[5edo|5et]] 2&3 24.152


[[Sharptone]]: [[5edo|5et]] 5&7d 24.848
[[Meantone family|Sharptone]]: [[5edo|5et]] 5&7d 24.848


[[Father family#Baba|Baba]]: [[5edo|5et]] 1&5 44.321
[[Father family#Baba|Baba]]: [[5edo|5et]] 1&5 44.321
Line 100: Line 103:
[[Meantone family|Dominant]]: [[12edo|12et]] 5&7 20.690
[[Meantone family|Dominant]]: [[12edo|12et]] 5&7 20.690


[[Jubilismic clan|Diminished]]: [[12edo|12et]] 4&12 22.401
[[Diminished family #Septimal diminished|Diminished]]: [[12edo|12et]] 4&12 22.401


[[Augmented family|August]]: [[12edo|12et]] 9&12 26.459
[[Augmented family|August]]: [[12edo|12et]] 9&12 26.459
Line 152: Line 155:
[[Meantone family|Squares]]: [[31edo|31et]] 31&45 45.993
[[Meantone family|Squares]]: [[31edo|31et]] 31&45 45.993


[[Immunity family#Immunity-7-limit|Immunity]]: [[34edo|34et]] 5&29 77.631
[[Immunity family#Septimal immunity|Immunity]]: [[34edo|34et]] 5&29 77.631


[[Meantone family|Injera]]: [[38edo|38et]] 12&26 31.130
[[Meantone family|Injera]]: [[38edo|38et]] 12&26 31.130
Line 194: Line 197:
[[Marvel temperaments|Wizard]]: [[72edo|72et]] 22&50 40.846
[[Marvel temperaments|Wizard]]: [[72edo|72et]] 22&50 40.846


[[Unicorn family#Alicorn|Alicorn]] [[77edo|77et]] 19&58 40.913
[[Unicorn family|Unicorn]] [[77edo|77et]] 19&58 40.913


[[Diaschismic family|Bidia]]: [[80edo|80et]] 12&56 56.474
[[Diaschismic family|Bidia]]: [[80edo|80et]] 12&56 56.474
Line 244: Line 247:
[[Semicomma family|Orwell]]: [[137edo|137et]] 9&22 20.375
[[Semicomma family|Orwell]]: [[137edo|137et]] 9&22 20.375


[[Breedsmic temperaments|Tertiaseptal]]: [[171edo|171et]] 31&109 12.995
[[Breedsmic temperaments#Tertiaseptal|Tertiaseptal]]: [[171edo|171et]] 31&109 12.995


[[Breedsmic temperaments#Septidiasemi|Septidiasemi]]: [[171edo|171et]] 10&151 44.115
[[Breedsmic temperaments#Septidiasemi|Septidiasemi]]: [[171edo|171et]] 10&151 44.115
Line 300: Line 303:
[[Schismatic family|Bischismic]]: [[378edo|378et]] 12&118 54.744
[[Schismatic family|Bischismic]]: [[378edo|378et]] 12&118 54.744


[[Nessafof]]: [[381edo|381et]] 15&69 45.478
[[Porwell temperaments|Nessafof]]: [[381edo|381et]] 15&69 45.478


[[Hemifamity temperaments#Septiquarter|Septiquarter]]: [[391edo|391et]] 5&94 53.760
[[Hemifamity temperaments#Septiquarter|Septiquarter]]: [[391edo|391et]] 5&94 53.760
Line 310: Line 313:
[[Hemimean clan#Sengagen|Sengagen]]: [[446edo|446et]] 49&50 57.978
[[Hemimean clan#Sengagen|Sengagen]]: [[446edo|446et]] 49&50 57.978


[[Chromat]]: [[456edo|456et]] 60&99 57.499
[[Landscape microtemperaments|Chromat]]: [[456edo|456et]] 60&99 57.499


[[Kleismic family|Countercata]]: [[473edo|473et]] 34&53 52.128
[[Kleismic family|Countercata]]: [[473edo|473et]] 34&53 52.128
Line 330: Line 333:
[[Breedsmic temperaments#Emmthird|Emmthird]] [[1255edo|1255et]] 58&113 16.736
[[Breedsmic temperaments#Emmthird|Emmthird]] [[1255edo|1255et]] 58&113 16.736


[[Landscape microtemperaments#Septichrome|septichrome]] [[1308edo|1308et]] 60&111 16.814
[[Landscape microtemperaments#Septichrome|Septichrome]] [[1308edo|1308et]] 60&111 16.814


[[Schismatic family|Sesquiquartififths]]: [[1498edo|1498et]] 41&89 11.244
[[Schismatic family|Sesquiquartififths]]: [[1498edo|1498et]] 41&89 11.244


[[Brahmagupta]]: [[1547edo|1547et]] 7&217 29.122
[[Ragismic microtemperaments|Brahmagupta]]: [[1547edo|1547et]] 7&217 29.122


[[Breedsmic temperaments#Maviloid|Maviloid]]: [[1614edo|1614et]] 76&99 57.632
[[Breedsmic temperaments#Maviloid|Maviloid]]: [[1614edo|1614et]] 76&99 57.632
Line 438: Line 441:
[[Meantone family#Godzilla-Semafour|Semafour]]: [[5edo|5et]] 5&14c 28.510
[[Meantone family#Godzilla-Semafour|Semafour]]: [[5edo|5et]] 5&14c 28.510


[[Meantone family#Maqamic|Maqamic]]: [[7edo|7et]] 7&10c 40.240
[[Meantone family#Neutrominant|Neutrominant]]: [[7edo|7et]] 7&10c 40.240


[[Meantone family#Dominant-Arnold|Arnold]]: [[7edo|7et]] 5&7 26.141
[[Meantone family#Dominant-Arnold|Arnold]]: [[7edo|7et]] 5&7 26.141
Line 470: Line 473:
[[Dicot family#Decimal|Decibel]]: [[10edo|10et]] 4&6 32.385
[[Dicot family#Decimal|Decibel]]: [[10edo|10et]] 4&6 32.385


[[Jubilismic clan|Diminished]]: [[12edo|12et]] 4&12 22.132
[[Diminished family #Septimal diminished|Diminished]]: [[12edo|12et]] 4&12 22.132


[[Diaschismic family#Pajara-Pajaric|Pajaric]]: [[12edo|12et]] 2&10 23.798
[[Diaschismic family#Pajara-Pajaric|Pajaric]]: [[12edo|12et]] 2&10 23.798
Line 490: Line 493:
[[Mint temperaments#Ripple|Ripple]]: [[12edo|12et]] 1ce&12 38.811
[[Mint temperaments#Ripple|Ripple]]: [[12edo|12et]] 1ce&12 38.811


[[Jubilismic clan#Diminished-Hemidim|Hemidim]]: [[12edo|12et]] 12&20b 54.965
[Diminished family #Hemidim|Hemidim]]: [[12edo|12et]] 12&20b 54.965


[[Mint temperaments#Smate|Smate]]: [[14edo|14et]] 14&17c 42.518
[[Mint temperaments#Smate|Smate]]: [[14edo|14et]] 14&17c 42.518
Line 578: Line 581:
[[Augmented family#Hemiaug|Hemiaug]]: [[24edo|24et]] 24&27e 38.232
[[Augmented family#Hemiaug|Hemiaug]]: [[24edo|24et]] 24&27e 38.232


[[Dimipent family#Hemidim|Hemidim]]: [[24edo|24et]] 4e&24 56.576
[[Diminished family #Hemidim|Hemidim]]: [[24edo|24et]] 4e&24 56.576


[[Dimipent family#Semidim|Semidim]]: [[24edo|24et]] 24&32c 30.597
[[Diminished family #Octonion|Octonion]]: [[24edo|24et]] 24&32c 30.597


[[Meantone family#Injera-11-limit|Injera]]: [[26edo|26et]] 12&26 23.124
[[Meantone family#Injera-11-limit|Injera]]: [[26edo|26et]] 12&26 23.124
Line 598: Line 601:
[[Sensipent family#Sensi-Sensa|Sensa]]: [[27edo|27et]] 19e&27 36.835
[[Sensipent family#Sensi-Sensa|Sensa]]: [[27edo|27et]] 19e&27 36.835


[[Jubilismic clan#Diminished-Demolished|Demolished]]: [[28edo|28et]] 12&28 26.574
[[Diminished family #Demolished|Demolished]]: [[28edo|28et]] 12&28 26.574


[[Porcupine family|Nautilus]]: [[29edo|29et]] 15&29 26.023
[[Porcupine family|Nautilus]]: [[29edo|29et]] 15&29 26.023
Line 650: Line 653:
[[Meantone family#Liese-Elisa|Elisa]]: [[36edo|36e]] 19e&36e 41.592
[[Meantone family#Liese-Elisa|Elisa]]: [[36edo|36e]] 19e&36e 41.592


[[Pythagorean family#Catler temperament-Catcall|Catcall]]: [[36edo|36et]] 12&24 34.478
[[Compton family#Catnip|Catnip]]: [[36edo|36et]] 12&24 34.478


[[Augmented family#Niner|Niner]]: [[36edo|36et]] 9&36 34.861
[[Augmented family#Niner|Niner]]: [[36edo|36et]] 9&36 34.861
Line 830: Line 833:
[[Marvel temperaments|Septimin]]: [[91edo|91et]] 9&32 31.309
[[Marvel temperaments|Septimin]]: [[91edo|91et]] 9&32 31.309


[[31_comma temperaments#Prajapati|Prajapati]]: [[93edo|93et]] 31&93 42.959
[[31st-octave temperaments #Prajapati|Prajapati]]: [[93edo|93et]] 31&93 42.959


[[Schismatic family|Cassandra]]: [[94edo|94et]] 41&53 27.396
[[Schismatic family|Cassandra]]: [[94edo|94et]] 41&53 27.396
Line 1,074: Line 1,077:


[[Marvel family #Potassium|Potassium]]: [[19edo|19et]] 2&9&10 46.3665
[[Marvel family #Potassium|Potassium]]: [[19edo|19et]] 2&9&10 46.3665
[[Jubilismic family #Festival|Festival]]: [[26edo|26et]] 2&10&26 68.8510


[[Mint family #Nickel|Nickel]]: [[28edo|28et]] 7&9&12 46.3463
[[Mint family #Nickel|Nickel]]: [[28edo|28et]] 7&9&12 46.3463
[[Jubilismic family #Festival|Festival]]: [[26edo|26et]] 2&10&26 68.8510


[[Starling family #Thrasher|Thrasher]]: [[34edo|34et]] 3&4&12 48.0188
[[Starling family #Thrasher|Thrasher]]: [[34edo|34et]] 3&4&12 48.0188
Line 1,139: Line 1,142:
[[Horwell family #Zelda|Zelda]]: [[118edo|118et]]: 9&22&87 64.1882
[[Horwell family #Zelda|Zelda]]: [[118edo|118et]]: 9&22&87 64.1882


[[Rastmic temperaments #Parahemif|Parahemif]]: 17&24&58 134.547
[[Rastmic temperaments #Parahemif|Parahemif]]: [[123edo|123et]] 17&24&58 134.547


[[Valinorismic temperaments #Varda|Varda]]: [[126edo|126et]] 12&22&46 72.8125
[[Valinorismic temperaments #Varda|Varda]]: [[126edo|126et]] 12&22&46 72.8125
Line 1,224: Line 1,227:
Name: ET w/ optimal patent val: Val name: 1000*badness
Name: ET w/ optimal patent val: Val name: 1000*badness


[[Jubilismic clan#Diminished-13-limit|Diminished]]: [[4edo|4et]] 4&8d 19.509
[[Diminished family #Septimal diminished|Diminished]]: [[4edo|4et]] 4&8d 19.509


[[Meantone family#Maqamic-13-limit|Maqamic]]: [[7edo|7et]] 7&10c 27.214
[[Meantone family#Neutrominant-13-limit|Neutrominant]]: [[7edo|7et]] 7&10c 27.214


[[Tetracot family#Modus|Modus]]: [[7edo|7et]] 7&27e 23.806
[[Tetracot family#Modus|Modus]]: [[7edo|7et]] 7&27e 23.806
Line 1,354: Line 1,357:
[[Archytas clan#Quasisuper-Quasisupra-13-limit|Quasisupra]]: [[22edo|22et]] 17c&22 30.219
[[Archytas clan#Quasisuper-Quasisupra-13-limit|Quasisupra]]: [[22edo|22et]] 17c&22 30.219


[[Pythagorean family#Catler temperament|Catcall]]: [[24edo|24et]] 12f&24 28.363
[[Compton family#Catnip|Catnip]]: [[24edo|24et]] 12f&24 28.363


[[Augmented family|Triforce]]: [[24edo|24et]] 9&15 20.248
[[Augmented family|Triforce]]: [[24edo|24et]] 9&15 20.248
Line 1,360: Line 1,363:
[[Augmented family#Hemiaug-13-limit|Hemiaug]]: [[24edo|24et]] 3de&24 30.159
[[Augmented family#Hemiaug-13-limit|Hemiaug]]: [[24edo|24et]] 3de&24 30.159


[[Dimipent family#Hemidim|Hemidim]]: [[24edo|24et]] 4ef&24 39.030
[[Diminished family #Hemidim|Hemidim]]: [[24edo|24et]] 4ef&24 39.030


[[Dimipent family#Semidim|Semidim]]: [[24edo|24et]] 24&32c 30.597
[[Diminished family #Octonion|Octonion]]: [[24edo|24et]] 24&32c 30.597


[[Meantone family#Mohamaq-13-limit|Mohamaq]]: [[24edo|24et]] 17c&24 28.738
[[Meantone family#Mohamaq-13-limit|Mohamaq]]: [[24edo|24et]] 17c&24 28.738
Line 1,430: Line 1,433:
[[Starling temperaments|Lupercalia]]: [[31edo|31et]] 15&31 21.328
[[Starling temperaments|Lupercalia]]: [[31edo|31et]] 15&31 21.328


[[Starling temperaments#Casablanca temperament-Marrakesh-Murakuc|Murakuc]]: [[31edo|31et]] 31&73f 41.394
[[Starling temperaments#Casablanca|Murakuc]]: [[31edo|31et]] 31&73f 41.394


[[Starling temperaments#Nusecond temperament-13-limit|Nusecond]]: [[31edo|31et]] 31&70f 23.323
[[Starling temperaments#Nusecond|Nusecond]]: [[31edo|31et]] 31&70f 23.323


[[Starling temperaments#Cypress-13-limit|Cypress]]: [[31edo|31et]] 11cdeef&31 37.849
[[Starling temperaments#Cypress-13-limit|Cypress]]: [[31edo|31et]] 11cdeef&31 37.849


[[Starling temperaments#x5-limit-Maneh|Maneh]]: [[31edo|31et]] 4ef&31 29.868
[[Starling temperaments#Maneh|Maneh]]: [[31edo|31et]] 4ef&31 29.868


[[31_comma temperaments#Prajapati|Prajapati]]: [[31edo|31et]] 31&93f 37.885
[[31st-octave temperaments #Prajapati|Prajapati]]: [[31edo|31et]] 31&93f 37.885


[[Würschmidt family#Würschmidt-13-limit|Würschmidt]]: [[31edo|31et]] 31&65d 23.593
[[Würschmidt family#Würschmidt-13-limit|Würschmidt]]: [[31edo|31et]] 31&65d 23.593
Line 1,590: Line 1,593:
[[Breedsmic temperaments#Gorgik|Gorgik]]: [[58edo|58et]] 21&37 32.205
[[Breedsmic temperaments#Gorgik|Gorgik]]: [[58edo|58et]] 21&37 32.205


[[31_comma temperaments#Gallium|Gallium]]: [[62edo|62et]] 31&62 25.484
[[31st-octave temperaments #Gallium|Gallium]]: [[62edo|62et]] 31&62 25.484


[[Starling temperaments#Valentine temperament-Semivalentine|Semivalentine]]: [[62edo|62et]] 16&30 32.749
[[Starling temperaments#Valentine temperament-Semivalentine|Semivalentine]]: [[62edo|62et]] 16&30 32.749
Line 1,630: Line 1,633:
[[Ragismic microtemperaments#Ennealimmal-Ennealiminal-13-limit|Ennealiminal]]: [[72edo|72et]]  27&72 30.325
[[Ragismic microtemperaments#Ennealimmal-Ennealiminal-13-limit|Ennealiminal]]: [[72edo|72et]]  27&72 30.325


[[Starling temperaments#Casablanca temperament-Marrakesh-13-limit|Marrakesh]]: [[73edo|73et]] 31&73 40.774
[[Starling temperaments#Casablanca|Marrakesh]]: [[73edo|73et]] 31&73 40.774


[[Meantone family#Septimal meantone-Unidecimal meantone aka Huygens-Grosstone|Grosstone]]: [[74edo|74et]] 12&31 25.899
[[Meantone family#Septimal meantone-Unidecimal meantone aka Huygens-Grosstone|Grosstone]]: [[74edo|74et]] 12&31 25.899
Line 1,642: Line 1,645:
[[Diaschismic family|Bidia]]: [[80edo|80et]] 12&68 41.137
[[Diaschismic family|Bidia]]: [[80edo|80et]] 12&68 41.137


[[Ragismic microtemperaments#Parakleismic-Paradigmic-Paradigmic-13-limit|Paradigmic]]: [[80edo|80et]] 19&80 35.781
[[Ragismic microtemperaments#Parakleismic|Paradigmic]]: [[80edo|80et]] 19&80 35.781


[[Orwellismic temperaments#Quartonic-13-limit|Quartonic]]: [[80edo|80et]] 53&80 23.875
[[Orwellismic temperaments#Quartonic-13-limit|Quartonic]]: [[80edo|80et]] 53&80 23.875
Line 1,666: Line 1,669:
[[Marvel temperaments#Septimin-13-limit|Septimin]]: [[91edo|91et]] 9&41 23.117
[[Marvel temperaments#Septimin-13-limit|Septimin]]: [[91edo|91et]] 9&41 23.117


[[31_comma temperaments#Prajapati|Kumhar]]: [[93edo|93et]] 31&93 48.582
[[31st-octave temperaments #Prajapati|Kumhar]]: [[93edo|93et]] 31&93 48.582


[[Marvel temperaments|Slender]]: [[94edo|94et]] 31&63 25.913
[[Marvel temperaments|Slender]]: [[94edo|94et]] 31&63 25.913


[[Schismatic family#Sanjaab-13-limit|Sanjaab]]: [[94edo|94et]] 29&94 33.849
[[Schismatic family#Sanjaab-13-limit|Sanjaab]]: [[94edo|94et]] 29&94 33.849
[[Hemifamity temperaments#Supers|Supers]]: [[94edo|94et]] 58&94 21.644


[[Marvel temperaments#Submajor-Interpental-13-limit|Interpental]]: [[96edo|96et]] 43&53 29.680
[[Marvel temperaments#Submajor-Interpental-13-limit|Interpental]]: [[96edo|96et]] 43&53 29.680
[[Hemifamity temperaments#Supers|Supers]]: [[94edo|94et]] 58&94 21.644


[[Meantone family#Mothra|Mosura]]: [[98edo|98et]] 31&67 36.857
[[Meantone family#Mothra|Mosura]]: [[98edo|98et]] 31&67 36.857
Line 1,716: Line 1,719:
[[Breedsmic temperaments|Harry]]: [[130edo|130et]] 58&72 13.046
[[Breedsmic temperaments|Harry]]: [[130edo|130et]] 58&72 13.046


[[11-limit_comma temperaments#Bosonic|Bosonic]]: [[130edo|130et]] 26&130 32.946
[[26th-octave temperaments#Bosonic|Bosonic]]: [[130edo|130et]] 26&130 32.946


[[Sensipent family#Bison-13-limit|Bison]]: [[130edo|130et]] 46&84 23.504
[[Sensipent family#Bison-13-limit|Bison]]: [[130edo|130et]] 46&84 23.504
Line 1,804: Line 1,807:
[[Porwell temperaments#Septisuperfourth|Septisuperfourth]]: [[282edo|282et]] 130&282 22.887
[[Porwell temperaments#Septisuperfourth|Septisuperfourth]]: [[282edo|282et]] 130&282 22.887


[[Sensamagic clan|Sensa]]: [[283edo|283et]] 22&65 31.366
[[Escapade family#Escaped|Escaped]]: [[283edo|283et]] 22&65 31.366


[[Schismatic family|Sextilififths]]: [[289edo|289et]] 29&130 25.276
[[Schismatic family#Sextilifourths|Sextilifourths]]: [[289edo|289et]] 29&130 25.276


[[Ragismic microtemperaments#Quincy|Quincy]]: [[289edo|289et]] 72&145 23.862
[[Ragismic microtemperaments#Quincy|Quincy]]: [[289edo|289et]] 72&145 23.862
Line 1,812: Line 1,815:
[[Würschmidt family#Hemiwürschmidt-11-limit-13-limit|Hemiwürschmidt]]: [[291edo|291et]] 31&130 23.074
[[Würschmidt family#Hemiwürschmidt-11-limit-13-limit|Hemiwürschmidt]]: [[291edo|291et]] 31&130 23.074


[[Porwell temperaments|Hemischis]]: [[313edo|313et]] 53&130 20.816
[[Schismatic family#Hemischis|Hemischis]]: [[313edo|313et]] 53&130 20.816


[[Werckismic temperaments#Octowerck|Octowerck]]: [[320edo|320et]] 72&248 27.632
[[Werckismic temperaments#Octowerck|Octowerck]]: [[320edo|320et]] 72&248 27.632


[[Pental family|Decal]]: [[320edo|320et]] 130&190 23.948
[[Quintile family#Decile|Decile]]: [[320edo|320et]] 130&190 23.948


[[Kleismic family#Novemkleismic|Novemkleismic]]: [[333edo|333et]] 72&261 39.072
[[Kleismic family#Novemkleismic|Novemkleismic]]: [[333edo|333et]] 72&261 39.072
Line 1,830: Line 1,833:
[[Ragismic microtemperaments|Semiennealimmal]]: [[441edo|441et]] 72&441 26.122
[[Ragismic microtemperaments|Semiennealimmal]]: [[441edo|441et]] 72&441 26.122


[[31_comma temperaments#Birds|Birds]]: [[465edo|465et]] 31&217 35.680
[[31st-octave temperaments #Birds|Birds]]: [[465edo|465et]] 31&217 35.680


[[Horwell temperaments#Emkay|Emkay]]: [[535edo|535et]] 87&137 17.853
[[Horwell temperaments#Emkay|Emkay]]: [[535edo|535et]] 87&137 17.853


[[11-limit_comma temperaments#Fermionic|Fermionic]]: [[546edo|546et]] 130&286 43.581
[[26th-octave temperaments#Fermionic|Fermionic]]: [[546edo|546et]] 130&286 43.581


[[Schismatic family#Pogo-13-limit|Pogo]]: [[578edo|578et]] 36&94 17.514
[[Schismatic family#Pogo-13-limit|Pogo]]: [[578edo|578et]] 36&94 17.514
Line 2,019: Line 2,022:
[[Breed family #Freya|Freya]]: [[2615edo|2615et]] 10&31&229 85.515
[[Breed family #Freya|Freya]]: [[2615edo|2615et]] 10&31&229 85.515


= See also =
== See also ==
* [[Associated temperament]]
* [[Associated temperament]]


{{todo
{{todo
| improve layout
| improve layout
| add introduction
| introduce lemma
| increase applicability
| increase applicability
| text = add structure by switching to tables
| text = add structure by switching to tables
Retrieved from "https://en.xen.wiki/w/Optimal_patent_val"