@@ Line 1: / Line 1: @@
+THIS LIST IS SORTABLE, so you can sort by name or by pergen, and look up a specific temperament. Rules for choosing comma sets: prime limit strictly ascends, no torsion allowed, primes excluded because of downward inheritances are not allowed in other commas, and [[Odd limit|double-odd-limit]] is minimized. See: [[Color notation/Temperament Names|Color Notation/Temperament names]].
+* Color name column: alternatives or objections are '''bolded'''
+* Pergen column: all double-splits are false doubles unless otherwise noted.
+* Commas column: ratios are grouped by prime limit with actual commas (","), and sorted within prime-limit by [[Odd limit|double odd limit]].
+* Co = Complexity = corresponds roughly to the odd limit of the commas
+* Err = Error = corresponds roughly to the cents discrepancy from JI
+* Bad = Badness = a combination of complexity and error
-ya, za, ila and tha (1 comma)
+== 1 comma ==
+=== ya, za, ila and tha ===
 {| class="wikitable sortable"
 |-
@@ Line 16: / Line 23: @@
 ! bd
 |-
-|2.3.5
+| 2.3.5
-|[[Father]]
+| [[Father]]
-|Gubi
+| Gubi
-|(P8, P5)
+| (P8, P5)
-|16/15
+| 16/15
-|111.7
+| 111.7
-|[1 2 2] [0 -1 1]
+| [1 2 2] [0 -1 1]
-|1.37
+| 1.37
-|14.13
+| 14.13
-|1.59
+| 1.59
 |-
-|2.3.5
+| 2.3.5
-|[[Dicot]]
+| [[Dicot]]
-|Yoyo
+| Yoyo
-|(P8, P5/2)||25/24||70.672
+| (P8, P5/2)
-|[1 1 2] [0 2 1]||1.599||7.658||0.975
+| 25/24
+| 70.672
+| [1 1 2] [0 2 1]
+| 1.599
+| 7.658
+| 0.975
 |-
-|2.3.5
+| 2.3.5
-|[[Bug]]
+| [[Bug]]
-|Gugu
+| Gugu
-|(P8, P4/2)
+| (P8, P4/2)
-|27/25
+| 27/25
-|133.2
+| 133.2
-|[1 2 3] [0 -2 -3]
+| [1 2 3] [0 -2 -3]
-|1.63
+| 1.63
-|14.18
+| 14.18
-|1.63
+| 1.63
 |-
-|2.3.5
+| 2.3.5
-|[[Meantone]]
+| [[Meantone]]
-|Gu
+| Gu
-|(P8, P5)||81/80||21.506
+| (P8, P5)
-|[1 2 4] [0 -1 -4]||2.194||1.699||0.457
+| 81/80
+| 21.506
+| [1 2 4] [0 -1 -4]
+| 2.194
+| 1.699
+| 0.457
 |-
-|2.3.5
+| 2.3.5
-|[[Augmented]]
+| [[Augmented]]
-|Trigu
+| Trigu
-|(P8/3, P5)
+| (P8/3, P5)
-|[7 0 -3]
+| [7 0 -3]
-|41.1
+| 41.1
-|[3 5 7] [0 -1 0]
+| [3 5 7] [0 -1 0]
-|2.42
+| 2.42
-|2.94
+| 2.94
-|0.61
+| 0.61
 |-
 |2.3.5
@@ Line 75: / Line 92: @@
 |2.3.5
 |[[Blackwood]]
-|5-edo + ya
+|Sawa + ya
 |(P8/5, ^1)
 |[8 -5 0]
@@ Line 133: / Line 150: @@
 |-
 |2.3.5
-|[[Helmholtz]]
+|[[Helmholtz (temperament)|Helmholtz]]
 |Layo
 |(P8, P5)||[-15 8 1]||1.954
@@ Line 141: / Line 158: @@
 |[[Sensi]]
 |Sepgu
-|(P8, WP12/7)||[2 9 -7]||13.399
+|(P8, cP12/7)||[2 9 -7]||13.399
 |[1 6 8] [0 -7 -9]||5.635||0.412||0.778
 |-
@@ Line 153: / Line 170: @@
 |[[Würschmidt]]
 |Saquadbigu
-|(P8, WP12/8)||[17 1 -8]||11.445
+|(P8, cP12/8)||[17 1 -8]||11.445
 |[1 7 3] [0 -8 -1]||6.439||0.308||0.873
 |-
 |2.3.5
 |[[Compton]]
-|12-edo + ya
+|Lalawa + ya
 |(P8/12, ^1)
 |[-19 12 0]
@@ Line 189: / Line 206: @@
 |[[Luna]]
 |Sasa-quintrigu
-|(P8, W<sup>5</sup>P5/15)
+|(P8, c<sup>5</sup>P5/15)
 |[38 -2 -15]
 |1.38
@@ Line 213: / Line 230: @@
 |-
 |2.3.7||(blackwood)
-|5-edo + za
+|Sawa + za
 |(P8/5, ^1)
 |[8 -5 0]||90.225||[5 8 14] [0 0 1]||2.76||5.666||0.927
@@ Line 269: / Line 286: @@
 |[-9 11 -3]||15.027||[1 3 8] [0 -3 -11]||6.04||0.431||0.833
 |-
-|2.3.7||(catler, compton)||12-edo + za
+|2.3.7||(catler, compton)||Lalawa + za
 |(P8/12, ^1)
 |[-19 12 0]||23.46||[12 19 34] [0 0 -1]||6.588||0.617||0.923
@@ Line 289: / Line 306: @@
 | 33/32||53.273||[1 1 4] [0 1 -1]||1.741||5.304||0.758
 |-
-|2.3.11||neuter||Lulu
+|2.3.11||neutral||Lulu
 |(P8, P5/2)
 | 243/242||7.139||[1 3 7] [0 -2 -5]||2.745||0.451||0.404
 |-
-|2.3.11||(blacksmith, ferrier)||5-edo + ila
+|2.3.11||(blacksmith, ferrier)||Sawa + ila
 |(P8/5, ^1)
 |[8 -5 0]||90.225||[5 8 17] [0 0 1]||2.76||5.666||0.927
@@ Line 349: / Line 366: @@
 |[-18 7 2]||16.321||[1 0 9] [0 2 -7]||6.241||0.453||0.861
 |-
-|2.3.11||(compton, catler, duodecim)||12-edo + ila
+|2.3.11||(compton, catler, duodecim)||Lalawa + ila
 |(P8/12, ^1)
 |[-19 12 0]||23.46||[12 19 42] [0 0 -1]||6.588||0.617||0.923
@@ Line 365: / Line 382: @@
 | 169/162||73.235||[2 3 7] [0 1 2]||2.554||4.968||0.831
 |-
-|2.3.13||(blackwood)||5-edo + tha
+|2.3.13||(blackwood)||Sawa + tha
 |(P8/5, ^1)
 |[8 -5 0]||90.225||[5 8 18] [0 0 1]||2.76||5.666||0.927
 |-
-|2.3.13||hemif (maqamic, mohamaq, dicot)||Thuthu
+|2.3.13||hemif (neutrominant, mohamaq, dicot)||Thuthu
 |(P8, P5/2)
 | [9 -1 -2]||16.99||[1 3 3] [0 -2 1]||3.117||0.945||0.502
@@ Line 410: / Line 427: @@
 |[9 6 -5]||9.092||[1 6 9] [0 -5 -6]||6.414||0.246||0.863
 |-
-|2.3.13||(compton, catcall, catler)
+|2.3.13||(compton, catnip, catler)
-|12-edo + tha
+|Lalawa + tha
 |(P8/12, ^1)
 |[-19 12 0]||23.46||[12 19 45] [0 0 -1]||6.588||0.617||0.923
@@ Line 421: / Line 438: @@
 |}
+== 2 commas ==
-yaza (2 commas)
+=== yaza ===
 {| class="wikitable sortable"
 |-
+!S
 ! | Name
 ! | [[Color notation/Temperament Names|Color Name]]
@@ Line 435: / Line 452: @@
 ! | Err
 ! | Bad
-! style="font-size:0px;" | Wedgie
+! style="font-size:0px;" | cedgie
 |-
+|2.3.5.7
 | | Ternary
 |3-edo & Yo + za
@@ Line 447: / Line 465: @@
 | style="font-size:0px;" | &lt;&lt;0 0 3 0 5 7]]
 |-
+|2.3.5.7
 | | Dicot
 |Yoyo & Ruyo
@@ Line 457: / Line 476: @@
 | style="font-size:0px;" | &lt;&lt;2 1 3 -3 -1 4]]
 |-
+|2.3.5.7
 | | Mother
 |Gubi & Zogu
@@ Line 467: / Line 487: @@
 | style="font-size:0px;" | &lt;&lt;1 -1 -2 -4 -6 -2]]
 |-
+|2.3.5.7
 | | Brutus
 |Yo & Zogugu
@@ Line 477: / Line 498: @@
 | style="font-size:0px;" | &lt;&lt;1 2 4 1 4 4]]
 |-
+|2.3.5.7
 | | Geryon
 |Yoyo & Rubi
@@ Line 487: / Line 509: @@
 | style="font-size:0px;" | &lt;&lt;2 1 0 -3 -6 -3]]
 |-
+|2.3.5.7
 | | Antaeus
 |2-edo & Zoyo
@@ Line 497: / Line 520: @@
 | style="font-size:0px;" | &lt;&lt;0 2 -2 3 -3 -10]]
 |-
+|2.3.5.7
 | | Beep
 |Gugu & Zogu
@@ Line 507: / Line 531: @@
 | style="font-size:0px;" | &lt;&lt;2 3 1 0 -4 -6]]
 |-
+|2.3.5.7
 | | Father
 |Gubi & Zo
@@ Line 517: / Line 542: @@
 | style="font-size:0px;" | &lt;&lt;1 -1 3 -4 2 10]]
 |-
+|2.3.5.7
 | | Flat
 |Yoyo & Zogu
@@ Line 527: / Line 553: @@
 | style="font-size:0px;" | &lt;&lt;2 1 -1 -3 -7 -5]]
 |-
+|2.3.5.7
 | | Quad
 |2-edo & Yoyo + za
-'''(4-edo + za?)'''
 |(P8/4, ^1)
 | | 9/8, 25/24 (27/25)
@@ Line 538: / Line 564: @@
 | style="font-size:0px;" | &lt;&lt;0 0 4 0 6 9]]
 |-
+|2.3.5.7
 | | Phlegyas
 |Yo & Zoyo
@@ Line 548: / Line 575: @@
 | style="font-size:0px;" | &lt;&lt;1 2 -2 1 -6 -10]]
 |-
+|2.3.5.7
 | | Malacoda
 |Yoyobi & Ruyo
@@ Line 558: / Line 586: @@
 | style="font-size:0px;" | &lt;&lt;2 -1 1 -6 -4 5]]
 |-
+|2.3.5.7
 | | Sharptone
 |Gu & Zogu
@@ Line 568: / Line 597: @@
 | style="font-size:0px;" | &lt;&lt;1 4 3 4 2 -4]]
 |-
+|2.3.5.7
 | | Ugolino
 |Gugu & Ruyo
@@ Line 578: / Line 608: @@
 | style="font-size:0px;" | &lt;&lt;2 3 5 0 2 3]]
 |-
+|2.3.5.7
 | | Charon
 |Yo & Biruyo
@@ Line 588: / Line 619: @@
 | style="font-size:0px;" | &lt;&lt;2 4 4 2 1 -2]]
 |-
+|2.3.5.7
 | | Nessus
 |Yo & Zozo
@@ Line 598: / Line 630: @@
 | style="font-size:0px;" | &lt;&lt;2 4 1 2 -4 -9]]
 |-
+|2.3.5.7
 | | Penta
 |Trigubi & Zogugu
@@ Line 608: / Line 641: @@
 | style="font-size:0px;" | &lt;&lt;3 2 4 -4 -2 4]]
 |-
+|2.3.5.7
 | | Medusa
 |Layobi & Ruyo
@@ Line 618: / Line 652: @@
 | style="font-size:0px;" | &lt;&lt;1 -3 -2 -7 -6 4]]
 |-
+|2.3.5.7
 | | Plutus
 |Gu & Ruyo
@@ Line 629: / Line 664: @@
 | style="font-size:0px;" | &lt;&lt;1 4 5 4 5 0]]
 |-
+|2.3.5.7
 | | Sodium
 |Gugubi & Zogu
@@ Line 639: / Line 675: @@
 | style="font-size:0px;" | &lt;&lt;2 5 3 3 -1 -7]]
 |-
+|2.3.5.7
 | | Mite
 |Gugu & Zogugu
@@ Line 649: / Line 686: @@
 | style="font-size:0px;" | &lt;&lt;2 3 6 0 4 6]]
 |-
+|2.3.5.7
 | | Baba
 |Gubi & Zozo
@@ Line 659: / Line 697: @@
 | style="font-size:0px;" | &lt;&lt;2 -2 1 -8 -4 8]]
 |-
+|2.3.5.7
 | | Quint
-|5-edo & Gubi + za
+|Sawa & Gubi + za
 |(P8/5, ^1)
 | | 256/243, 16/15 (27/25)
@@ Line 669: / Line 708: @@
 | style="font-size:0px;" | &lt;&lt;0 0 5 0 8 12]]
 |-
+|2.3.5.7
 | | Sharp
 |Yoyo & Zo
@@ Line 679: / Line 719: @@
 | style="font-size:0px;" | &lt;&lt;2 1 6 -3 4 11]]
 |-
+|2.3.5.7
 | | Walid
 |Gubi & Biruyo
@@ Line 691: / Line 732: @@
 | style="font-size:0px;" | &lt;&lt;2 -2 -2 -8 -9 1]]
 |-
+|2.3.5.7
 | | Pelogic
 |Layobi & Zogu
@@ Line 701: / Line 743: @@
 | style="font-size:0px;" | &lt;&lt;1 -3 -4 -7 -9 -1]]
 |-
+|2.3.5.7
 | | Oxygen
 |Triyo & Zogu
@@ Line 711: / Line 754: @@
 | style="font-size:0px;" | &lt;&lt;3 5 2 1 -5 -9]]
 |-
+|2.3.5.7
 | | Wallaby
 |Layobi & Zo
@@ Line 721: / Line 765: @@
 | style="font-size:0px;" | &lt;&lt;1 -3 3 -7 2 15]]
 |-
+|2.3.5.7
 | | Dominant
 |Gu & Rugu
@@ Line 731: / Line 776: @@
 | style="font-size:0px;" | &lt;&lt;1 4 -2 4 -6 -16]]
 |-
+|2.3.5.7
 | | Pater
 |Gubi & Zotrigu
@@ Line 741: / Line 787: @@
 | style="font-size:0px;" | &lt;&lt;1 -1 -5 -4 -11 -9]]
 |-
+|2.3.5.7
 | | Diminished
 |Quadgu & Rugu
@@ Line 751: / Line 798: @@
 | style="font-size:0px;" | &lt;&lt;4 4 4 -3 -5 -2]]
 |-
+|2.3.5.7
 | | Decimal
 |Yoyo & Zozo
@@ Line 762: / Line 810: @@
 | style="font-size:0px;" | &lt;&lt;4 2 2 -6 -8 -1]]
 |-
+|2.3.5.7
 | | Blacksmith
-|5-edo (& Zo) + ya
+|Sawa (& Zo) + ya
 |(P8/5, ^1)
 | | 256/243, 28/27 (49/48)
@@ Line 772: / Line 821: @@
 | style="font-size:0px;" | &lt;&lt;0 5 0 8 0 -14]]
 |-
+|2.3.5.7
 | | Hystrix
 |Triyo & Rugu
@@ Line 782: / Line 832: @@
 | style="font-size:0px;" | &lt;&lt;3 5 1 1 -7 -12]]
 |-
+|2.3.5.7
 | | Dichotic
 |Yoyo & Ru
@@ Line 792: / Line 843: @@
 | style="font-size:0px;" | &lt;&lt;2 1 -4 -3 -12 -12]]
 |-
+|2.3.5.7
 | | Octokaidecal
 |Sayoyo & Zo
@@ Line 804: / Line 856: @@
 | style="font-size:0px;" | &lt;&lt;2 6 6 5 4 -3]]
 |-
+|2.3.5.7
 | | Fluorine
 |Lagubi & Zogu
@@ Line 814: / Line 867: @@
 | style="font-size:0px;" | &lt;&lt;1 6 5 7 5 -5]]
 |-
+|2.3.5.7
 | | August
 |Trigu & Rugu
@@ Line 824: / Line 878: @@
 | style="font-size:0px;" | &lt;&lt;3 0 6 -7 1 14]]
 |-
+|2.3.5.7
 | | Deflated
 |Trigu & Zogu
@@ Line 834: / Line 889: @@
 | style="font-size:0px;" | &lt;&lt;3 0 -3 -7 -13 -7]]
 |-
+|2.3.5.7
 | | Jamesbond
-|7-edo (& Gu) + za
+|Lawa (& Gu) + za
 |(P8/7, ^1)
 | | 2187/2048, '''(25/24)''' 81/80
@@ Line 845: / Line 901: @@
 | style="font-size:0px;" | &lt;&lt;0 0 7 0 11 16]]
 |-
+|2.3.5.7
 | | Armodue
 |Layobi & Rugu
@@ Line 855: / Line 912: @@
 | style="font-size:0px;" | &lt;&lt;1 -3 5 -7 5 20]]
 |-
+|2.3.5.7
 | | Opossum
 |Triyo & Zo
@@ Line 865: / Line 923: @@
 | style="font-size:0px;" | &lt;&lt;3 5 9 1 6 7]]
 |-
+|2.3.5.7
 | | Pajara
 |Sagugu & Ru
@@ Line 877: / Line 936: @@
 | style="font-size:0px;" | &lt;&lt;2 -4 -4 -11 -12 2]]
 |-
+|2.3.5.7
 | | Progression
 |Quingubi & Rugu
@@ Line 888: / Line 948: @@
 | style="font-size:0px;" | &lt;&lt;5 3 7 -7 -3 8]]
 |-
+|2.3.5.7
 | | Sidi
 |Yoyo & Zozoyo
 |(P8, P11/4)
 vM3, \m7
-| | 25/24, 245/243 (405/392) '''([-3 9 0 -4]) not best ext. of Squares'''
+| | 25/24, 245/243 (405/392)
+'''([-3 9 0 -4]) not best ya ext.'''
 | | 1 3 3 6<br>0 -4 -2 -9
 | style="text-align:right;" | 2.074
@@ Line 899: / Line 961: @@
 | style="font-size:0px;" | &lt;&lt;4 2 9 -6 3 15]]
 |-
+|2.3.5.7
 | | Godzilla
 |(Gu &) Zozo
@@ Line 910: / Line 973: @@
 | style="font-size:0px;" | &lt;&lt;2 8 1 8 -4 -20]]
 |-
+|2.3.5.7
 | | Meantone
 |Gu (& Zotrigu)
@@ Line 921: / Line 985: @@
 | style="font-size:0px;" | &lt;&lt;1 4 10 4 13 12]]
 |-
+|2.3.5.7
 | | Injera
 |Gu & Biruyo
@@ Line 933: / Line 998: @@
 | style="font-size:0px;" | &lt;&lt;2 8 8 8 7 -4]]
 |-
+|2.3.5.7
 | | Inflated
 |Trigu & Zo
@@ Line 944: / Line 1,010: @@
 | style="font-size:0px;" | &lt;&lt;3 0 9 -7 6 21]]
 |-
+|2.3.5.7
 | | Negri
 |Laquadyo & Ruyoyo
@@ Line 955: / Line 1,022: @@
 | style="font-size:0px;" | &lt;&lt;4 -3 2 -14 -8 13]]
 |-
+|2.3.5.7
 | | Keemun
 |Tribiyo & Zotrigu
@@ Line 966: / Line 1,034: @@
 | style="font-size:0px;" | &lt;&lt;6 5 3 -6 -12 -7]]
 |-
+|2.3.5.7
 | | Superpelog
 |Layobi & Zozo
@@ Line 977: / Line 1,046: @@
 | style="font-size:0px;" | &lt;&lt;2 -6 1 -14 -4 19]]
 |-
+|2.3.5.7
 | | Augene
 |Trigu & Ru
@@ Line 988: / Line 1,058: @@
 | style="font-size:0px;" | &lt;&lt;3 0 -6 -7 -18 -14]]
 |-
+|2.3.5.7
 | | Ripple
 |Quingu & Rugu
@@ Line 998: / Line 1,069: @@
 | style="font-size:0px;" | &lt;&lt;5 8 2 1 -11 -18]]
 |-
+|2.3.5.7
 | | Triforce
 |Trigu & Zozo
@@ Line 1,009: / Line 1,081: @@
 | style="font-size:0px;" | &lt;&lt;6 0 3 -14 -12 7]]
 |-
+|2.3.5.7
 | | Schism
 |Layo & Ru
@@ Line 1,020: / Line 1,093: @@
 | style="font-size:0px;" | &lt;&lt;1 -8 -2 -15 -6 18]]
 |-
+|2.3.5.7
 | | Hexe
 |Trigu & Biruyo
@@ Line 1,032: / Line 1,106: @@
 | style="font-size:0px;" | &lt;&lt;6 0 0 -14 -17 0]]
 |-
+|2.3.5.7
 | | Hedgehog
 |Triyo & Biruyo
@@ Line 1,044: / Line 1,119: @@
 | style="font-size:0px;" | &lt;&lt;6 10 10 2 -1 -5]]
 |-
+|2.3.5.7
 | | Porcupine
 |Triyo (& Ru)
@@ Line 1,055: / Line 1,131: @@
 | style="font-size:0px;" | &lt;&lt;3 5 -6 1 -18 -28]]
 |-
+|2.3.5.7
 | | Superpyth
 |Sayo (& Ru)
@@ Line 1,066: / Line 1,143: @@
 | style="font-size:0px;" | &lt;&lt;1 9 -2 12 -6 -30]]
 |-
+|2.3.5.7
 | | Doublewide
 |Quadbiyo & Zotriyo
-|(P8/2, Wm7/8)
+|(P8/2, cm7/8)
 | |[-9 -6 8], '''(50/49)''' 875/864 = zy<sup>3</sup>
 '''Biruyo creates torsion'''
@@ Line 1,077: / Line 1,155: @@
 | style="font-size:0px;" | &lt;&lt;8 6 6 -9 -13 -3]]
 |-
+|2.3.5.7
 | | Magic
 |Laquinyo & Ruyoyo
@@ Line 1,087: / Line 1,166: @@
 | style="font-size:0px;" | &lt;&lt;5 1 12 -10 5 25]]
 |-
+|2.3.5.7
 | | Nautilus
 |Triyo & Zozo
@@ Line 1,097: / Line 1,177: @@
 | style="font-size:0px;" | &lt;&lt;6 10 3 2 -12 -21]]
 |-
+|2.3.5.7
 | | Flattone
 |Gu & Lazoyoyo
@@ Line 1,107: / Line 1,188: @@
 | style="font-size:0px;" | &lt;&lt;1 4 -9 4 -17 -32]]
 |-
+|2.3.5.7
 | | Catler
-|12-edo (& Gu) + za
+|Lalawa (& Gu) + za
 |(P8/12, ^1)
 | |[-19 12], 81/80 (128/125)
@@ Line 1,117: / Line 1,199: @@
 | style="font-size:0px;" | &lt;&lt;0 0 12 0 19 28]]
 |-
+|2.3.5.7
 | | Sensi
 |Sepgu & Zotrigu
-|(P8, WWP5/7)
+|(P8, ccP5/7)
 | |[2 9 -7], 126/125 (245/243)
 | | 1 6 8 11<br>0 -7 -9 -13
@@ Line 1,127: / Line 1,210: @@
 | style="font-size:0px;" | &lt;&lt;7 9 13 -2 1 5]]
 |-
+|2.3.5.7
 | | Beatles
 |Sasa-Gugu & Ru
@@ Line 1,137: / Line 1,221: @@
 | style="font-size:0px;" | &lt;&lt;2 -9 -4 -19 -12 16]]
 |-
+|2.3.5.7
 | | Liese
 |(Gu &) Latriru
@@ Line 1,148: / Line 1,233: @@
 | style="font-size:0px;" | &lt;&lt;3 12 11 12 9 -8]]
 |-
+|2.3.5.7
 | | Muggles
 |Laquinyo & Zotrigu
@@ Line 1,158: / Line 1,244: @@
 | style="font-size:0px;" | &lt;&lt;5 1 -7 -10 -25 -19]]
 |-
+|2.3.5.7
 | | Triton
 |Latriyo & Ruyoyo
@@ Line 1,168: / Line 1,255: @@
 | style="font-size:0px;" | &lt;&lt;3 -7 -8 -18 -21 1]]
 |-
+|2.3.5.7
 | | Porky
 |Triyo & Ruyoyo
@@ Line 1,179: / Line 1,267: @@
 | style="font-size:0px;" | &lt;&lt;3 5 16 1 17 23]]
 |-
+|2.3.5.7
 | | Mothra
 |Gu & Latrizo
@@ Line 1,190: / Line 1,279: @@
 | style="font-size:0px;" | &lt;&lt;3 12 -1 12 -10 -36]]
 |-
+|2.3.5.7
 | | Orwell
 |Lasepyo & Ruyoyo
@@ Line 1,201: / Line 1,291: @@
 | style="font-size:0px;" | &lt;&lt;7 -3 8 -21 -7 27]]
 |-
+|2.3.5.7
 | | Myna
 |Quinbigu & Zotrigu
-|(P8, WWP5/10)
+|(P8, ccP5/10)
 | |[9 9 -10], 126/125
 (1728/1715 = r<sup>3</sup>g)
@@ Line 1,212: / Line 1,303: @@
 | style="font-size:0px;" | &lt;&lt;10 9 7 -9 -17 -9]]
 |-
+|2.3.5.7
 | | Garibaldi
 |Layo & Ruyoyo
@@ Line 1,223: / Line 1,315: @@
 | style="font-size:0px;" | &lt;&lt;1 -8 -14 -15 -25 -10]]
 |-
+|2.3.5.7
 | | Miracle
 |Lala-tribiyo & Ruyoyo
@@ Line 1,235: / Line 1,328: @@
 | style="font-size:0px;" | &lt;&lt;6 -7 -2 -25 -20 15]]
 |-
+|2.3.5.7
 | | Squares
 |(Gu &) Laquadru
@@ Line 1,246: / Line 1,340: @@
 | style="font-size:0px;" | &lt;&lt;4 16 9 16 3 -24]]
 |-
+|2.3.5.7
 | | Valentine
 |Satritrigu & Zotrigu
@@ Line 1,258: / Line 1,353: @@
 | style="font-size:0px;" | &lt;&lt;9 5 -3 -13 -30 -21]]
 |-
+|2.3.5.7
 | | Diaschismic
 |Sagugu & Zotrigu
@@ Line 1,269: / Line 1,365: @@
 | style="font-size:0px;" | &lt;&lt;2 -4 -16 -11 -31 -26]]
 |-
+|2.3.5.7
 | | Mohajira
 |Gu & Sarurutrigu
@@ Line 1,280: / Line 1,377: @@
 | style="font-size:0px;" | &lt;&lt;2 8 -11 8 -23 -48]]
 |-
+|2.3.5.7
 | | Nusecond
 |Legu & Zotrigu
@@ Line 1,291: / Line 1,389: @@
 | style="font-size:0px;" | &lt;&lt;11 13 17 -5 -4 3]]
 |-
+|2.3.5.7
 | | Octacot
 |Saquadyo & Zozoyo
@@ Line 1,302: / Line 1,401: @@
 | style="font-size:0px;" | &lt;&lt;8 18 11 10 -5 -25]]
 |-
+|2.3.5.7
 | | Würschmidt
 |Saquadbigu & Ruyoyo
-|(P8, WWP5/8)
+|(P8, ccP5/8)
 | |[17 1 -8], 225/224
 (8748/8575 = r<sup>3</sup>gg)
@@ Line 1,313: / Line 1,413: @@
 | style="font-size:0px;" | &lt;&lt;8 1 18 -17 6 39]]
 |-
+|2.3.5.7
 | | Superkleismic
 |Tritriyo & Zotriyo
-|(P8, WWP4/9)
+|(P8, ccP4/9)
 | |[-5 -10 9], 875/864 (1029/1024)
 | | 1 4 5 2<br>0 -9 -10 3
@@ Line 1,323: / Line 1,424: @@
 | style="font-size:0px;" | &lt;&lt;9 10 -3 -5 -30 -35]]
 |-
+|2.3.5.7
 | | Catakleismic
 |Tribiyo & Ruyoyo
@@ Line 1,334: / Line 1,436: @@
 | style="font-size:0px;" | &lt;&lt;6 5 22 -6 18 37]]
 |-
-| | Alicorn
+|2.3.5.7
+| | Unicorn
 |Laquadbigu & Zotrigu
 |(P8, P4/8)
@@ Line 1,345: / Line 1,448: @@
 | style="font-size:0px;" | &lt;&lt;8 13 23 2 14 17]]
 |-
+|2.3.5.7
 | | Rodan
 |Sasa-triyo & Saruyo
@@ Line 1,358: / Line 1,462: @@
 | style="font-size:0px;" | &lt;&lt;3 17 -1 20 -10 -50]]
 |-
+|2.3.5.7
 | | Shrutar
 |Sagugu & Zozoyo
@@ Line 1,369: / Line 1,474: @@
 | style="font-size:0px;" | &lt;&lt;4 -8 14 -22 11 55]]
 |-
+|2.3.5.7
 | | Tritonic
 |Lala-quinyo & Ruyoyo
-|(P8, WWP4/5)
+|(P8, ccP4/5)
 | |[-29 11 5], 225/224
 (50421/50000 = z<sup>5</sup>g<sup>5</sup>)
@@ Line 1,380: / Line 1,486: @@
 | style="font-size:0px;" | &lt;&lt;5 -11 -12 -29 -33 3]]
 |-
+|2.3.5.7
 | | Quartonic
 |Saleyo & Zoquadyo
@@ Line 1,391: / Line 1,498: @@
 | style="font-size:0px;" | &lt;&lt;11 18 5 3 -23 -39]]
 |-
+|2.3.5.7
 | | Clyde
 |Tribiyo & Zozoyo
-|(P8, W<sup>4</sup>P4/12)
+|(P8, c<sup>4</sup>P4/12)
 | |[-6 -5 6], 245/243
 (3136/3125 = zzg<sup>5</sup>)
@@ Line 1,402: / Line 1,510: @@
 | style="font-size:0px;" | &lt;&lt;12 10 25 -12 6 30]]
 |-
+|2.3.5.7
 | | Septimin
 |Lala-leyo & Ruyoyo
-|(P8, WWP4/11)
+|(P8, ccP4/11)
 | |[-35 6 11], 225/224
 (84035/82944 = z<sup>5</sup>y)
@@ Line 1,413: / Line 1,522: @@
 | style="font-size:0px;" | &lt;&lt;11 -6 10 -35 -15 40]]
 |-
+|2.3.5.7
 | | Echidna
 |Sagugu & Triru-agu
@@ Line 1,424: / Line 1,534: @@
 | style="font-size:0px;" | &lt;&lt;6 -12 10 -33 -1 57]]
 |-
+|2.3.5.7
 | | Compton
-|12-edo & Ruyoyo
+|Lalawa & Ruyoyo
 |(P8/12, ^1)
 | |[-19 12], 225/224
@@ Line 1,435: / Line 1,546: @@
 | style="font-size:0px;" | &lt;&lt;0 12 24 19 38 22]]
 |-
+|2.3.5.7
 | | Bidia
 |(Sagugu &) Trisa-quadru
@@ Line 1,446: / Line 1,558: @@
 | style="font-size:0px;" | &lt;&lt;4 -8 -20 -22 -43 -24]]
 |-
+|2.3.5.7
 | | Wizard
 |Lala-quadtriyo & Ruyoyo
-|(P8, WM9/12)
+|(P8, cM9/12)
 | |[-31 2 12], 225/224
 (118098/117649 = Lr<sup>6</sup>)
@@ Line 1,457: / Line 1,570: @@
 | style="font-size:0px;" | &lt;&lt;12 -2 20 -31 -2 52]]
 |-
+|2.3.5.7
 | | Buzzard
 |Sasa-quadyo & Saruyo
@@ Line 1,468: / Line 1,582: @@
 | style="font-size:0px;" | &lt;&lt;4 21 -3 24 -16 -66]]
 |-
+|2.3.5.7
 | | Semisept
 |Sasa-segu & Saru-atribigu
-|(P8, W<sup>6</sup>P5/17)
+|(P8, c<sup>6</sup>P5/17)
 | |[30 6 -17], '''(1728/1715 = r<sup>3</sup>g)'''
 '''(3136/3125 = zzg<sup>5</sup>)''' [12 3 -6 -1]
@@ Line 1,479: / Line 1,594: @@
 | style="font-size:0px;" | &lt;&lt;17 6 15 -30 -24 18]]
 |-
+|2.3.5.7
 | | Hemiwürschmidt
 |Saquadbigu & Zozoquingu
-|(P8, WWP5/16)
+|(P8, ccP5/16)
 | |[17 1 -8], '''(2401/2400 = z<sup>4</sup>gg)'''
 /3125 '''(torsion)'''
@@ Line 1,490: / Line 1,606: @@
 | style="font-size:0px;" | &lt;&lt;16 2 5 -34 -37 6]]
 |-
+|2.3.5.7
 | | Hemikleismic
 |Tribiyo & Rurutriyo
@@ Line 1,501: / Line 1,618: @@
 | style="font-size:0px;" | &lt;&lt;12 10 -9 -12 -48 -49]]
 |-
+|2.3.5.7
 | | Sensei
 |Sepgu & Ruyoyo
-|(P8, WWP5/7)
+|(P8, ccP5/7)
 | | 78732/78125, 225/224
 | | 1 6 8 23<br>0 -7 -9 -32
@@ Line 1,511: / Line 1,629: @@
 | style="font-size:0px;" | &lt;&lt;7 9 32 -2 31 49]]
 |-
+|2.3.5.7
 | | Hemififths
 |Trisa-Yoyo & Saruyo
@@ Line 1,522: / Line 1,641: @@
 | style="font-size:0px;" | &lt;&lt;2 25 13 35 15 -40]]
 |-
+|2.3.5.7
 | | Pluto
 |Trisa-sepyo & Sazoyoyo
-|(P8, W<sup>3</sup>P4/7)
+|(P8, c<sup>3</sup>P4/7)
-| |[25 -26 7], '''([5 -4 3 -2] [5 -7 -1 3])''' [10 -11 2 1] '''(torsion)'''
+| |[25 -26 7], '''([5 -4 3 -2] [5 -7 -1 3])'''
+[10 -11 2 1] '''(torsion)'''
 | | 1 5 15 15<br>0 -7 -26 -25
 | style="text-align:right;" | 7.022
@@ Line 1,532: / Line 1,653: @@
 | style="font-size:0px;" | &lt;&lt;7 26 25 25 20 -15]]
 |-
+|2.3.5.7
 | | Amity
 |Saquinyo & Zoquadyo
@@ Line 1,543: / Line 1,665: @@
 | style="font-size:0px;" | &lt;&lt;5 13 -17 9 -41 -76]]
 |-
+|2.3.5.7
 | | Merman
 |Trila-sepyo & Ruyoyo
-|(P8, W<sup>3</sup>P4/7)
+|(P8, c<sup>3</sup>P4/7)
-| |[-40 15 7], 225/224 (2500000/2470629 = r<sup>7</sup>y<sup>7</sup>)
+| |[-40 15 7], 225/224
+(2500000/2470629 = r<sup>7</sup>y<sup>7</sup>)
 | | 1 5 -5 -5<br>0 -7 15 16
 | style="text-align:right;" | 7.243
@@ Line 1,553: / Line 1,677: @@
 | style="font-size:0px;" | &lt;&lt;7 -15 -16 -40 -45 5]]
 |-
+|2.3.5.7
 | | Parakleismic
 |Thegu & Zoquadyo
-|(P8, W<sup>3</sup>P4/13)
+|(P8, c<sup>3</sup>P4/13)
 | |[8 14 -13], '''(3136/3125 = zzg<sup>5</sup>)'''
 /4374 '''(torsion)'''
@@ Line 1,564: / Line 1,689: @@
 | style="font-size:0px;" | &lt;&lt;13 14 35 -8 19 42]]
 |-
+|2.3.5.7
 | | Slender
 |Trila-theyo & Ruyoyo
 |(P8, P4/13)
-| |[-46 10 13], 225/224 (589824/588245 = sr<sup>6</sup>g)
+| |[-46 10 13], 225/224
+(589824/588245 = sr<sup>6</sup>g)
 | | 1 2 2 3<br>0 -13 10 -6
 | style="text-align:right;" | 7.359
@@ Line 1,574: / Line 1,701: @@
 | style="font-size:0px;" | &lt;&lt;13 -10 6 -46 -27 42]]
 |-
+|2.3.5.7
 | | Hemithirds
 |Sasa-quintrigu & Zozoquingu
-|(P8, WWP4/15)
+|(P8, ccP4/15)
-| |[38 -2 -15], '''(1029/1024 = Lz<sup>3</sup> 3136/3125 = zzg<sup>5</sup>)''' [-15 1 -5 1] '''(torsion)'''
+| |[38 -2 -15], '''(1029/1024 = Lz<sup>3</sup>'''
+'''3136/3125 = zzg<sup>5</sup>)''' [-15 1 -5 1] '''(torsion)'''
 | | 1 4 2 2<br>0 -15 2 5
 | style="text-align:right;" | 7.385
@@ Line 1,584: / Line 1,713: @@
 | style="font-size:0px;" | &lt;&lt;15 -2 -5 -38 -50 -6]]
 |-
+|2.3.5.7
 | | Unidec
 |Laquadtrigu & Zoquadyo
-|(P8/2, Wm7/12)
+|(P8/2, cm7/12)
-| |[-7 22 -12], '''(1029/1024= Lz<sup>3</sup>)''' 4375/4374 '''(torsion)'''
+| |[-7 22 -12], '''(1029/1024= Lz<sup>3</sup>)'''
+/4374 '''(torsion)'''
 | | 2 5 8 5<br>0 -6 -11 2
 | style="text-align:right;" | 7.662
@@ Line 1,594: / Line 1,725: @@
 | style="font-size:0px;" | &lt;&lt;12 22 -4 7 -40 -71]]
 |-
+|2.3.5.7
 | | Ennealimmal
 |Satritribiyo & Zoquadyo
 |(P8/9, P5/2)
-| |[1 -27 18], '''(2401/2400 = z<sup>4</sup>gg)''' 4375/4374 '''(torsion)'''
+| |[1 -27 18], '''(2401/2400 = z<sup>4</sup>gg)'''
+/4374 '''(torsion)'''
 | | 9 1 1 12<br>0 2 3 2
 | style="text-align:right;" | 7.714
@@ Line 1,604: / Line 1,737: @@
 | style="font-size:0px;" | &lt;&lt;18 27 18 1 -22 -34]]
 |-
+|2.3.5.7
 | | Guiron
 |Layo & Latrizo
@@ Line 1,616: / Line 1,750: @@
 | style="font-size:0px;" | &lt;&lt;3 -24 -1 -45 -10 65]]
 |-
+|2.3.5.7
 | | Misty
 |Sasa-trigu & Saruyo
@@ Line 1,627: / Line 1,762: @@
 | style="font-size:0px;" | &lt;&lt;3 -12 -30 -26 -56 -36]]
 |-
+|2.3.5.7
 | | Hendecatonic
 |Trisa-legu & Sazoquadgu
@@ Line 1,638: / Line 1,774: @@
 | style="font-size:0px;" | &lt;&lt;11 -11 22 -43 4 82]]
 |-
+|2.3.5.7
 | | Harry
 |Lala-tribigu & Labirugu
@@ Line 1,650: / Line 1,787: @@
 | style="font-size:0px;" | &lt;&lt;12 34 20 26 -2 -49]]
 |-
+|2.3.5.7
 | | Hemiseven
 |Trila-tribigu & Lazogugu
-|(P8, WWP4/6)
+|(P8, ccP4/6)
-| |[-32 29 -6], ('''1029/1024''' '''19683/19600''') [-14 10 -2 -1]
+| |[-32 29 -6], ('''1029/1024'''
+'''19683/19600''') [-14 10 -2 -1]
 | | 1 4 14 2<br>0 -6 -29 2
 | style="text-align:right;" | 8.570
@@ Line 1,660: / Line 1,799: @@
 | style="font-size:0px;" | &lt;&lt;6 29 -2 32 -20 -86]]
 |-
+|2.3.5.7
 | | Tritikleismic
 |Tribiyo & Latrizo
@@ Line 1,671: / Line 1,811: @@
 | style="font-size:0px;" | &lt;&lt;18 15 -6 -18 -60 -56]]
 |-
+|2.3.5.7
 | | Quadritikleismic
 |Tribiyo & Bizozogu
@@ Line 1,682: / Line 1,823: @@
 | style="font-size:0px;" | &lt;&lt;24 20 16 -24 -42 -19]]
 |-
+|2.3.5.7
 | | Hemischis
 |Layo & Sarurutrigu
@@ Line 1,693: / Line 1,835: @@
 | style="font-size:0px;" | &lt;&lt;2 -16 25 -30 34 103]]
 |-
+|2.3.5.7
 | | Subpental
 |Sepgu & Zozoquingu
-|(P8, W<sup>4</sup>P4/14)
+|(P8, c<sup>4</sup>P4/14)
 | |[2 9 -7], 3136/3125
 (19683/19600 = Lrrgg)
@@ Line 1,704: / Line 1,847: @@
 | style="font-size:0px;" | &lt;&lt;14 18 45 -4 32 54]]
 |-
+|2.3.5.7
 | | Countercata
 |Tribiyo & Saruyo
@@ Line 1,714: / Line 1,858: @@
 | style="font-size:0px;" | &lt;&lt;6 5 -31 -6 -66 -86]]
 |-
+|2.3.5.7
 | | Grendel
-|Trisa-twenty-thegu & Sazoquinbigu
+|Trisa-twethegu & Sazoquinbigu
-|(P8, W<sup>7</sup>P4/23)
+|(P8, c<sup>7</sup>P4/23)
 | |[55 -1 -23], '''(6144/6125 = srrg<sup>3</sup>'''
 '''16875/16807 = r<sup>5</sup>y<sup>4</sup>)''' [22 -1 -10 1]
@@ Line 1,725: / Line 1,870: @@
 | style="font-size:0px;" | &lt;&lt;23 -1 13 -55 -44 33]]
 |-
+|2.3.5.7
 | | Kwai
 |Quinsayo & Saruyo
 |(P8, P5)
-| |[50 -33 1], 5120/5103
+| | [50 -33 1], 5120/5103
 (16875/16807)
 | | 1 0 -50 -40<br>0 1 33 27
@@ Line 1,736: / Line 1,882: @@
 | style="font-size:0px;" | &lt;&lt;1 33 27 50 40 -30]]
 |-
-| | Hemischismic
+|2.3.5.7
+| | Bischismic
 |Layo & Zozoquingu
 |(P8/2, P5)
@@ Line 1,747: / Line 1,894: @@
 | style="font-size:0px;" | &lt;&lt;2 -16 -40 -30 -69 -48]]
 |-
+|2.3.5.7
 | | Sesquiquartififths
 |Layo & Bizozogu
@@ Line 1,758: / Line 1,906: @@
 | style="font-size:0px;" | &lt;&lt;4 -32 -15 -60 -35 55 ]]
 |-
+|2.3.5.7
 | | Octoid
 |Saquadtribiyo & Zoquadyo
@@ Line 1,768: / Line 1,917: @@
 | style="font-size:0px;" | &lt;&lt;24 32 40 -5 -4 3]]
 |-
+|2.3.5.7
 | | Tertiaseptal
 |Quadla-lebiyo & Lazoquinyo
@@ Line 1,779: / Line 1,929: @@
 | style="font-size:0px;" | &lt;&lt;22 -5 3 -59 -57 21]]
 |-
+|2.3.5.7
 | | Mirkat
 |Trila-tritribigu & Lazoquadbiru
-|(P8/3, WWM6/18)
+|(P8/3, ccM6/18)
-| |[-20 39 -18], '''(16875/16807 = r<sup>5</sup>y<sup>4</sup> 19683/19600)''' [-8 15 -8 1]
+| |[-20 39 -18], '''(16875/16807 = r<sup>5</sup>y<sup>4</sup>'''
+'''19683/19600)''' [-8 15 -8 1]
 | | 3 2 1 2<br>0 6 13 14
 | style="text-align:right;" | 10.652
@@ Line 1,789: / Line 1,941: @@
 | style="font-size:0px;" | &lt;&lt;18 39 42 20 16 -12]]
 |-
+|2.3.5.7
 | | Pontiac
 |Layo & Zoquadyo
@@ Line 1,800: / Line 1,953: @@
 | style="font-size:0px;" | &lt;&lt;1 -8 39 -15 59 113]]
 |-
+|2.3.5.7
 | | Nessafof
 |Saseptrigu & Zotritrigu
@@ Line 1,811: / Line 1,965: @@
 | style="font-size:0px;" | &lt;&lt;21 15 -12 -25 -78 -70]]
 |-
+|2.3.5.7
 | | Chromat
 |Saquinyo & Satrizo-agu
@@ Line 1,822: / Line 1,977: @@
 | style="font-size:0px;" | &lt;&lt;15 39 48 27 34 2]]
 |-
+|2.3.5.7
 | | Septiquarter
 |Quadsa-sepyo & Saruyo
@@ Line 1,833: / Line 1,989: @@
 | style="font-size:0px;" | &lt;&lt;7 38 -4 44 -26 -116]]
 |-
+|2.3.5.7
 | | Sengagen
-|Sasa-twenty-negu & Saruquadtrigu
+|Sasa-twenegu & Saruquadtrigu
 |(P8, P5/29)
 | | [42 16 -29], '''(3136/3125 = zzg<sup>5</sup>'''
@@ Line 1,844: / Line 2,001: @@
 | style="font-size:0px;" | &lt;&lt;29 16 40 -42 -18 48]]
 |-
+|2.3.5.7
 | | Enneadecal
 |Neyo & Zoquadyo
@@ Line 1,855: / Line 2,013: @@
 | style="font-size:0px;" | &lt;&lt;19 19 57 -14 37 79]]
 |-
+|2.3.5.7
 | | Septisuperfourth
 |Sasa-tritrigu & Sarurutrigu
@@ Line 1,866: / Line 2,025: @@
 | style="font-size:0px;" | &lt;&lt;18 -14 30 -64 -3 109]]
 |-
+|2.3.5.7
 | | Quinmite
 |Sasebigu & Zotritrigu
-|(P8, W<sup>8</sup>P5/34)
+|(P8, c<sup>8</sup>P5/34)
 | | [33 29 -34], '''(2401/2400)'''
 1959552/1953125 = zg<sup>9</sup>
@@ Line 1,877: / Line 2,037: @@
 | style="font-size:0px;" | &lt;&lt;34 29 23 -33 -59 -28]]
 |-
+|2.3.5.7
 | | Gamera
-|Sasa-twenty-theyo & Zoquadyo
+|Sasa-twetheyo & Zoquadyo
-|(P8, W<sup>4</sup>P4/23)
+|(P8, c<sup>4</sup>P4/23)
 | | [10 -40 23], 4375/4374
 (589824/588245 = sr<sup>6</sup>g)
@@ Line 1,888: / Line 2,049: @@
 | style="font-size:0px;" | &lt;&lt;23 40 1 10 -63 -110]]
 |-
+|2.3.5.7
 | | Amicable
 |Saquinyo & Bizozogu
@@ Line 1,898: / Line 2,060: @@
 | style="font-size:0px;" | &lt;&lt;20 52 31 36 -7 -74]]
 |-
+|2.3.5.7
 | | Semidimfourth
-|Lathirty-wegu & Zoquadyo
+|Lathiwegu & Zoquadyo
-|(P8, W<sup>11</sup>P5/31)
+|(P8, c<sup>11</sup>P5/31)
-| | [7 41 -31], 4375/4374 (235298/234375)
+| | [7 41 -31], 4375/4374
+(235298/234375)
 | | 1 21 28 36<br>0 -31 -41 -53
 | style="text-align:right;" | 13.269
@@ Line 1,908: / Line 2,072: @@
 | style="font-size:0px;" | &lt;&lt;31 41 53 -7 -3 8]]
 |-
+|2.3.5.7
 | | Term
 |Layo & Trizogugu
@@ Line 1,918: / Line 2,083: @@
 | style="font-size:0px;" | &lt;&lt;3 -24 -54 -45 -94 -58]]
 |-
+|2.3.5.7
 | | Mitonic
 |Trila-segu & Zoquadyo
-|(P8, WWP5/17)
+|(P8, ccP5/17)
 | | [-16 35 -17], 4375/4374
 (2100875/2097152)
@@ Line 1,929: / Line 2,095: @@
 | style="font-size:0px;" | &lt;&lt;17 35 -21 16 -81 -147]]
 |-
+|2.3.5.7
 | | Fifthplus
-|Quinla-twenty-theyo & Lazoquinyo
+|Quinla-twetheyo & Lazoquinyo
-|(P8, W<sup>9</sup>P4/23)
+|(P8, c<sup>9</sup>P4/23)
-| | [-74 13 23], 65625/65536 (420175/419904)
+| | [-74 13 23], 65625/65536
+(420175/419904)
 | | 1 11 -3 20<br>0 -23 13 -42
 | style="text-align:right;" | 14.679
@@ Line 1,939: / Line 2,107: @@
 | style="font-size:0px;" | &lt;&lt;23 -13 42 -74 2 134]]
 |-
+|2.3.5.7
 | | Emmthird
 |Tribila-sepbigu & Lala-rutrigu
-|(P8, W<sup>4</sup>P5/14)
+|(P8, c<sup>4</sup>P5/14)
 | | [-61, 59, -14], '''(2401/2400)'''
 14348907/14336000
@@ Line 1,950: / Line 2,119: @@
 | style="font-size:0px;" | &lt;&lt;14 59 33 61 13 -89]]
 |-
+|2.3.5.7
 | | Decoid
 |Quadsa-quinbigu & Sasa-birugugu
 |(P8/10, P4/2) true double
-| | [47 -15 -10], '''(2400/2401 = z<sup>4</sup>gg)''' 67108864/66976875
+| | [47 -15 -10], '''(2400/2401 = z<sup>4</sup>gg)'''
+67108864/66976875
 | | 10 0 47 36<br>0 2 -3 -1
 | style="text-align:right;" | 14.948
@@ Line 1,960: / Line 2,131: @@
 | style="font-size:0px;" | &lt;&lt;20 -30 -10 -94 -72 61]]
 |-
+|2.3.5.7
 | | Neptune
 |Laquinquadyo & Laruruleyo
-|(P8, W<sup>19</sup>P4/40)
+|(P8, c<sup>19</sup>P4/40)
-| | [-29 -11 20], '''(2401/2400)''' 48828125/48771072
+| | [-29 -11 20], '''(2401/2400)'''
+48828125/48771072
 | | 1 21 13 13<br>0 -40 -22 -21
 | style="text-align:right;" | 15.001
@@ Line 1,970: / Line 2,143: @@
 | style="font-size:0px;" | &lt;&lt;40 22 21 -58 -79 -13]]
 |-
+|2.3.5.7
 | | Mutt
 |Trila-septriyo & Lazoquinyo
-|(P8/3, WWP4/7)
+|(P8/3, ccP4/7)
-| | [-44 -3 21], 65625/65536 (250047/250000 = z<sup>3</sup>g<sup>6</sup>)
+| | [-44 -3 21], 65625/65536
+(250047/250000 = z<sup>3</sup>g<sup>6</sup>)
 | | 3 5 7 8<br>0 -7 -1 12
 | style="text-align:right;" | 15.075
@@ Line 1,980: / Line 2,155: @@
 | style="font-size:0px;" | &lt;&lt;21 3 -36 -44 -116 -92]]
 |-
+|2.3.5.7
 | | Tsaharuk
 |Layo & Quinzo-ayoyo
@@ Line 1,990: / Line 2,166: @@
 | style="font-size:0px;" | &lt;&lt;5 -40 24 -75 24 168]]
 |-
+|2.3.5.7
 | | Septichrome
 |Quinla-quintrigu & Lala-rutrigu
 |(P8/3, P5/5)
-| | [-46 51 -15], '''(250047/250000 = z<sup>3</sup>g<sup>6</sup>''' '''2460375/2458624 = Lr<sup>4</sup>y<sup>3</sup>)''' [-14 15 -3 -1]
+| | [-46 51 -15], '''(250047/250000 = z<sup>3</sup>g<sup>6</sup>'''
+'''2460375/2458624 = Lr<sup>4</sup>y<sup>3</sup>)''' [-14 15 -3 -1]
 | | 3 3 1 0<br>0 5 17 24
 | style="text-align:right;" | 16.640
@@ Line 2,000: / Line 2,178: @@
 | style="font-size:0px;" | &lt;&lt;15 51 72 46 72 24]]
 |-
+|2.3.5.7
 | | Quasiorwell
 |TrIbisa-nebigu & Sazoquinbigu
-|(P8, W<sup>8</sup>P5/38)
+|(P8, c<sup>8</sup>P5/38)
 | | [93 -3 -38], '''(2401/2400 = z<sup>4</sup>gg)'''
 [22 -1 -10 1]
@@ Line 2,011: / Line 2,190: @@
 | style="font-size:0px;" | &lt;&lt;38 -3 8 -93 -94 27]]
 |-
+|2.3.5.7
 | | Vishnu
 |Sasepbigu & Zoquadyo
 |(P8/2, P4/7)
-| | [23 6 -14], 4375/4374 (29360128/29296875 = Lr<sup>4</sup>y<sup>3</sup>)
+| | [23 6 -14], 4375/4374
+(29360128/29296875 = Lr<sup>4</sup>y<sup>3</sup>)
 | | 2 4 5 10<br>0 -7 -3 -37
 | style="text-align:right;" | 16.789
@@ Line 2,021: / Line 2,202: @@
 | style="font-size:0px;" | &lt;&lt;14 6 74 -23 78 155]]
 |-
+|2.3.5.7
 | | Newt
 |Quadbisa-gugu & Sasaru
@@ Line 2,032: / Line 2,214: @@
 | style="font-size:0px;" | &lt;&lt;2 -57 -28 -95 -50 95]]
 |-
+|2.3.5.7
 | | Supermajor
-|Sa-thirty-seyo & Zoquadyo
+|Sathiseyo & Zoquadyo
-|(P8, W<sup>13</sup>P4/37)
+|(P8, c<sup>13</sup>P4/37)
 | | [-13 -46 37], 4375/4374
 (52734375/52706752 = Lr<sup>7</sup>y<sup>9</sup>)
@@ Line 2,043: / Line 2,226: @@
 | style="font-size:0px;" | &lt;&lt;37 46 75 -13 15 45]]
 |-
+|2.3.5.7
 | | Qak
-|Quadla-forty-weyo & Lala-ruquadquadyo
+|Quadla-foweyo & Lala-ruquadquadyo
-|(P8, W<sup>15</sup>P5/41)
+|(P8, c<sup>15</sup>P5/41)
 | | [-73 -14 41], ([-6 -8 2 5]
 (703125/702464 = Lr<sup>3</sup>y<sup>7</sup>) [-28 -4 16 -1]
@@ Line 2,054: / Line 2,238: @@
 | style="font-size:0px;" | &lt;&lt;41 14 60 -73 -20 100]]
 |-
+|2.3.5.7
 | | Vulture
 |Sasa-quadyo & Zoquadyo
@@ Line 2,065: / Line 2,250: @@
 | style="font-size:0px;" | &lt;&lt;4 21 -56 24 -100 -189]]
 |-
+|2.3.5.7
 | | Septidiasemi
 |Tritrila-thebiyo & Lalazo-atribiyo
-|(P8, WWP5/26)
+|(P8, ccP5/26)
 | | [-119 37 26], '''(2401/2400 = z<sup>4</sup>gg)'''
 2152828125/2147483648
@@ Line 2,076: / Line 2,262: @@
 | style="font-size:0px;" | &lt;&lt;26 -37 -12 -119 -92 76]]
 |-
+|2.3.5.7
 | | Acrokleismic
 |Quadquadbigu & Zoquadyo
-|(P8, W<sup>8</sup>P4/32)
+|(P8, c<sup>8</sup>P4/32)
 | | [22 33 -32], 4375/4374
 (2202927104/2197265625 = sz<sup>5</sup>g<sup>12</sup>)
@@ Line 2,087: / Line 2,274: @@
 | style="font-size:0px;" | &lt;&lt;32 33 92 -22 56 121]]
 |-
+|2.3.5.7
 | | Pnict
 |Lathetriyo & Ruquintriyo
-|(P8/3, WWP5/13)
+|(P8/3, ccP5/13)
-| | [-43 -30 39], '''(250047/250000 = z<sup>3</sup>g<sup>6</sup>''' [-21 0 3 5]) [-13 -12 15 -1]
+| | [-43 -30 39], '''(250047/250000 = z<sup>3</sup>g<sup>6</sup>'''
+[-21 0 3 5]) [-13 -12 15 -1]
 | | 3 10 11 6<br>0 -13 -10 6
 | style="text-align:right;" | 19.517
@@ Line 2,097: / Line 2,286: @@
 | style="font-size:0px;" | &lt;&lt;39 30 -18 -43 -138 -126]]
 |-
+|2.3.5.7
 | | Maviloid
 |Thegu & Bizozogu
-|(P8, W<sup>22</sup>P5/52)
+|(P8, c<sup>22</sup>P5/52)
 | | [8 14 -13], 2401/2400
 | | 1 31 34 26<br>0 -52 -56 -41
@@ Line 2,107: / Line 2,297: @@
 | style="font-size:0px;" | &lt;&lt;52 56 41 -32 -81 -62]]
 |-
+|2.3.5.7
 | | Tokko
 |Quadbila-thegu & Lala-rutrigu
-|(P8, WWP5/13)
+|(P8, ccP5/13)
 | | [-76 67 -13], '''([-6 -8 2 5]'''
 '''[-20 7 -1 4])''' [-14 15 -3 -1]
@@ Line 2,118: / Line 2,309: @@
 | style="font-size:0px;" | &lt;&lt;13 67 -6 76 -46 -202]]
 |}
 {| class="wikitable sortable"
 |-
+!S
 ! | Name
 ! | Commas
@@ Line 2,131: / Line 2,321: @@
 ! | Error
 ! | Badness
-! style="font-size:0px;" | Wedgie
+! style="font-size:0px;" | cedgie
 |-
+|2.3.5.7
 | |1-edo (& Yobi) + za
+or za nowa (2.7 JI)
 | | 4/3, 5/4
 |(P8, M2)
@@ Line 2,143: / Line 2,335: @@
 | style="font-size:0px;" | &lt;&lt;0 0 1 0 2 2]]
 |-
+|2.3.5.7
 | |1-edo (& Rubi) + ya
+or ya nowa (2.5 JI)
 | | 4/3, 8/7 (7/6)
 |(P8, M3)
@@ Line 2,153: / Line 2,347: @@
 | style="font-size:0px;" | &lt;&lt;0 1 0 2 0 -3]]
 |-
+|2.3.5.7
 | |1-edo & Zoguquad
 | | 4/3, 7/5
@@ Line 2,163: / Line 2,358: @@
 | style="font-size:0px;" | &lt;&lt;0 1 1 2 2 0]]
 |-
+|2.3.5.7
 | |Gutri & Zobi
 | | 6/5, 7/6
@@ Line 2,173: / Line 2,369: @@
 | style="font-size:0px;" | &lt;&lt;1 1 1 -1 -1 0]]
 |-
+|2.3.5.7
 | |Yobi & Zobi
 | | 5/4, 7/6
@@ Line 2,183: / Line 2,380: @@
 | style="font-size:0px;" | &lt;&lt;1 0 1 -2 -1 2]]
 |-
+|2.3.5.7
 | | Yobi & Rubi
 | | 5/4, 8/7
@@ Line 2,193: / Line 2,391: @@
 | style="font-size:0px;" | &lt;&lt;1 0 0 -2 -3 0]]
 |-
+|2.3.5.7
 | |Gutri & Rutri
 | | 6/5, 9/7
@@ Line 2,203: / Line 2,402: @@
 | style="font-size:0px;" | &lt;&lt;1 1 2 -1 0 2]]
 |-
+|2.3.5.7
 | |Gutri & Rubi
 | | 6/5, 8/7
@@ Line 2,213: / Line 2,413: @@
 | style="font-size:0px;" | &lt;&lt;1 1 0 -1 -3 -3]]
 |-
+|2.3.5.7
 | |2-edo & Gutri + za
 | | 9/8, 6/5
@@ Line 2,223: / Line 2,424: @@
 | style="font-size:0px;" | &lt;&lt;0 0 2 0 3 5]]
 |-
+|2.3.5.7
 | |Yo & Zobi
 | | 10/9, 7/6
@@ Line 2,233: / Line 2,435: @@
 | style="font-size:0px;" | &lt;&lt;1 2 1 1 -1 -3]]
 |-
+|2.3.5.7
 | | Yobi & Zotri
 | | 5/4, 21/16 (21/20)
@@ Line 2,243: / Line 2,446: @@
 | style="font-size:0px;" | &lt;&lt;1 0 -1 -2 -4 -2]]
 |-
+|2.3.5.7
 | |Gutri & Zotri
 | | 6/5, 21/16
@@ Line 2,253: / Line 2,457: @@
 | style="font-size:0px;" | &lt;&lt;1 1 -1 -1 -4 -5]]
 |-
+|2.3.5.7
 | |2-edo (& Rubi) + ya
 | | 9/8, 8/7
@@ Line 2,263: / Line 2,468: @@
 | style="font-size:0px;" | &lt;&lt;0 2 0 3 0 -6]]
 |-
+|2.3.5.7
 | |2-edo & Ruyo
 | | 9/8,15/14
@@ Line 2,273: / Line 2,479: @@
 | style="font-size:0px;" | &lt;&lt;0 2 2 3 3 -1]]
 |-
+|2.3.5.7
 | |Gubi (& Rubi)
 | | 16/15, 8/7 (15/14)
@@ Line 2,283: / Line 2,490: @@
 | style="font-size:0px;" | &lt;&lt;1 -1 0 -4 -3 3]]
 |-
+|2.3.5.7
 | |Yo (& Rubi)
 | | 10/9, 8/7
@@ Line 2,293: / Line 2,501: @@
 | style="font-size:0px;" | &lt;&lt;1 2 0 1 -3 -6]]
 |-
+|2.3.5.7
 | |Gubi & Zobi
 | | 16/15, 7/6
@@ Line 2,303: / Line 2,512: @@
 | style="font-size:0px;" | &lt;&lt;1 -1 1 -4 -1 5]]
 |-
+|2.3.5.7
 | |Yo & Ruyo
 | | 10/9, 15/14
@@ Line 2,313: / Line 2,523: @@
 | style="font-size:0px;" | &lt;&lt;1 2 3 1 2 1]]
 |-
+|2.3.5.7
 | |Yoyoquad & Zobi
 | | 25/18, 7/6 (25/21)
@@ Line 2,323: / Line 2,534: @@
 | style="font-size:0px;" | &lt;&lt;2 2 2 -1 -2 -1]]
 |-
+|2.3.5.7
 | |Yoyo & Zobi
 | | 25/24, 7/6 (28/25)
@@ Line 2,333: / Line 2,545: @@
 | style="font-size:0px;" | &lt;&lt;2 1 2 -3 -2 2]]
 |-
+|2.3.5.7
 | |Guquad & Rutri
 | | 27/20, 9/7 (21/20)
@@ Line 2,344: / Line 2,557: @@
 |}
+=== yala ===
+to do: remove za from the list
-yazala (3 commas)
 {| class="wikitable sortable"
@@ Line 2,387: / Line 2,599: @@
 |-
 | |
 |2-edo & Yoyo & Ruyo + ela
-'''(4-edo & Ruyo + ela?)'''
 | | 9/8, 25/24, 15/14
 |(P8/4, ^1)
@@ Line 2,496: / Line 2,707: @@
 |-
 | |
-|5-edo & Gubi & Zogu + ela
+|Sawa & Gubi & Zogu + ela
 | | 256/243, 16/15, 21/20 (28/27)
 |(P8/5, ^1)
@@ Line 2,667: / Line 2,878: @@
 |-
 | |
-|5-edo (& Zo & Loru) + ya
+|Sawa (& Zo & Loru) + ya
 | | 256/243, 28/27, 22/21 (33/32)
 |(P8/5, ^1)
@@ Line 2,694: / Line 2,905: @@
 |-
 | | Ferrum
-|5-edo & Zo & Luzoyo
+|Sawa & Zo & Luzoyo
 | | 256/243, 28/27 (49/48), 35/33
 |(P8/5, ^1)
@@ Line 2,749: / Line 2,960: @@
 |-
 | | Jamesbond
-|7-edo (& Gu & Lo) + za
+|Lawa (& Gu & Lo) + za
 | | [-11 7], (25/24) 81/80, 33/32 (45/44)
 |(P8/7,^1)
@@ Line 2,831: / Line 3,042: @@
 |-
 | | Blacksmith
-|5-edo & Zo & Loyo
+|Sawa & Zo & Loyo
 | | 256/243, 28/27 (49/48 64/63), 55/54
 |(P8/5, ^1)
@@ Line 2,886: / Line 3,097: @@
 |-
 | | Ferrier
-|5-edo & Zo & Lozogugu
+|Sawa & Zo & Lozogugu
 | | 256/243, 28/27 (49/48 64/63), 77/75
 |(P8/5, ^1)
@@ Line 2,949: / Line 3,160: @@
 |-
 | | Duodecim
-|12-edo (& Gu & Rugu) + ela
+|Lalawa (& Gu & Rugu) + ela
 | | [-19 12], 81/80, 36/35 (50/49 64/63)
 |(P8/12, ^1)
@@ Line 3,077: / Line 3,288: @@
 |Sepgu & Zotrigu & Luzogu
 | | [2 9 -7], 126/125 (245/243), 56/55 [100/99]
-|(P8, WW5/7)
+|(P8, cc5/7)
 | | 1 6 8 11 6<br>0 -7 -9 -13 -4
 | | 2.98
@@ Line 3,131: / Line 3,342: @@
 |Quadbiyo & Zotriyo & Luyoyo
 | | [-9 -6 8], '''(50/49)''' '''875/864''', 100/99 (99/98 385/384)
-|(P8/2, Wm7/8)
+|(P8/2, cm7/8)
 | | 2 1 3 4 8<br>0 4 3 3 -2
 | | 3.407
@@ Line 3,248: / Line 3,459: @@
 |Quinbigu & Zotrigu & Lorugugu
 | | [9 9 -10], 126/125, 176/175 (243/242)
-|(P8, WWP5/10)
+|(P8, ccP5/10)
 | | 1 9 9 8 22<br>0 -10 -9 -7 -25
 | | 4.127
@@ Line 3,257: / Line 3,468: @@
 |Tritriyo & Zotriyo & Luyoyo
 | | [-5 -10 9], 875/864, 100/99 (245/242 385/384)
-|(P8, WWP4/9)
+|(P8, ccP4/9)
 | | 1 4 5 2 4<br>0 -9 -10 3 -2
 | | 4.137
@@ Line 3,266: / Line 3,477: @@
 |Saquadbigu & Ruyoyo & Loruru
 | | [17 1 -8], 225/224, 99/98 (176/175 243/242)
-|(P8, WWP5/8)
+|(P8, ccP5/8)
 | | 1 7 3 15 17<br>0 -8 -1 -18 -20
 | | 4.344
@@ Line 3,293: / Line 3,504: @@
 |Sepgu & Zotrigu & Lorugugu
 | | [2 9 -7], 126/125, 176/175
-|(P8, WWP5/7)
+|(P8, ccP5/7)
 | | 1 6 8 11 23<br>0 -7 -9 -13 -31
 | | 4.503
@@ Line 3,320: / Line 3,531: @@
 |Lala-quinyo & Ruyoyo & Luzozogu
 | | [-29 11 5], 225/224, '''(121/120)''' 441/440
-|(P8, WWP4/5)
+|(P8, ccP4/5)
 | | 1 4 -3 -3 2<br>0 -5 11 12 3
 | | 4.596
@@ Line 3,347: / Line 3,558: @@
 |Lala-leyo & Ruyoyo & Lozoyo
 | | [-35 6 11], 225/224, '''(245/242)''' 385/384
-|(P8, WWP4/11)
+|(P8, ccP4/11)
 | | 1 4 1 5 5<br>0 -11 6 -10 -7
 | | 5.089
@@ Line 3,365: / Line 3,576: @@
 |Saquadtrigu & Zotrigu & Lorugugu
 | | [20 5 -12], 126/125, 176/175 (1344/1331)
-|(P8, W<sup>5</sup>P5/12)
+|(P8, c<sup>5</sup>P5/12)
 | | 1 8 5 -2 4<br>0 -12 -5 9 -1
 | | 5.622
@@ Line 3,374: / Line 3,585: @@
 |Saquadbigu & Zozoquingu & Lorugugu
 | | [17 1 -8], '''(2401/2400)''' 3136/3125, '''(121/120)''' 176/175 (1375/1372)
-|(P8, WWP5/16)
+|(P8, ccP5/16)
 | | 1 15 4 7 11<br>0 -16 -2 -5 -9
 | | 5.723
@@ Line 3,857: / Line 4,068: @@
 | | 31.857
 |}
 {| class="wikitable sortable"
@@ Line 3,871: / Line 4,081: @@
 |-
 |1-edo & Yobi & Rubi + ela
-or ela nowa
+or ela nowa (2.11 JI)
 | | 4/3, 5/4, 8/7 (7/6)
 |(P8, P4)
@@ Line 3,881: / Line 4,091: @@
 |-
 |1-edo & Yobi & Loquad + za
-or za nowa
+or za nowa (2.7 JI)
 | | 4/3, 5/4, 11/8 (11/10)
 |(P8, M2)
@@ Line 4,120: / Line 4,330: @@
 |}
+=== zala ===
-commas
+To do: remove ya from the list
-yazala
-(The original version of this page is here: [[Catalog of eleven-limit rank two temperaments]].)
-Below is a '''complete''' listing of all 193 11-limit rank-two temperaments with TE complexity less than 16 and TE badness less than 1/30, obtained by the method discussed [[The_wedgie|here]]. The TE error is multiplied by 1200 so that it can be thought of as cents, and the badness is multiplied by 1000. Some "Junk" temperaments of very Low complexity are listed below the main list, which is ordered by increasing complexity.
-=Temperament list=
-THIS LIST IS SORTABLE, so you can sort by name or by pergen, and look up a specific temperament. Rules for choosing comma sets: prime limit strictly ascends, no torsion allowed, primes excluded because of downward inheritances are not allowed in other commas, and [[Odd limit|double-odd-limit]] is minimized. See: [[Color notation/Temperament Names|Color Notation/Temperament names]].
-* Color name column: alternatives or objections are '''bolded'''
-* Pergen column: all double-splits are false doubles unless otherwise noted.
-* Commas column: ratios are grouped by prime limit with actual commas (","), and sorted within prime-limit by [[Odd limit|double odd limit]].
-* Co = Complexity = corresponds roughly to the odd limit of the commas
-* Err = Error = corresponds roughly to the cents discrepancy from JI
-* Bad = Badness = a combination of complexity and error
 {| class="wikitable sortable"
 |-
@@ Line 4,177: / Line 4,371: @@
 |-
 | |
 |2-edo & Yoyo & Ruyo + ela
-'''(4-edo & Ruyo + ela?)'''
 | | 9/8, 25/24, 15/14
 |(P8/4, ^1)
@@ Line 4,286: / Line 4,479: @@
 |-
 | |
-|5-edo & Gubi & Zogu + ela
+|Sawa & Gubi & Zogu + ela
 | | 256/243, 16/15, 21/20 (28/27)
 |(P8/5, ^1)
@@ Line 4,457: / Line 4,650: @@
 |-
 | |
-|5-edo (& Zo & Loru) + ya
+|Sawa (& Zo & Loru) + ya
 | | 256/243, 28/27, 22/21 (33/32)
 |(P8/5, ^1)
@@ Line 4,484: / Line 4,677: @@
 |-
 | | Ferrum
-|5-edo & Zo & Luzoyo
+|Sawa & Zo & Luzoyo
 | | 256/243, 28/27 (49/48), 35/33
 |(P8/5, ^1)
@@ Line 4,539: / Line 4,732: @@
 |-
 | | Jamesbond
-|7-edo (& Gu & Lo) + za
+|Lawa (& Gu & Lo) + za
 | | [-11 7], (25/24) 81/80, 33/32 (45/44)
 |(P8/7,^1)
@@ Line 4,621: / Line 4,814: @@
 |-
 | | Blacksmith
-|5-edo & Zo & Loyo
+|Sawa & Zo & Loyo
 | | 256/243, 28/27 (49/48 64/63), 55/54
 |(P8/5, ^1)
@@ Line 4,676: / Line 4,869: @@
 |-
 | | Ferrier
-|5-edo & Zo & Lozogugu
+|Sawa & Zo & Lozogugu
 | | 256/243, 28/27 (49/48 64/63), 77/75
 |(P8/5, ^1)
@@ Line 4,739: / Line 4,932: @@
 |-
 | | Duodecim
-|12-edo (& Gu & Rugu) + ela
+|Lalawa (& Gu & Rugu) + ela
 | | [-19 12], 81/80, 36/35 (50/49 64/63)
 |(P8/12, ^1)
@@ Line 4,867: / Line 5,060: @@
 |Sepgu & Zotrigu & Luzogu
 | | [2 9 -7], 126/125 (245/243), 56/55 [100/99]
-|(P8, WW5/7)
+|(P8, cc5/7)
 | | 1 6 8 11 6<br>0 -7 -9 -13 -4
 | | 2.98
@@ Line 4,921: / Line 5,114: @@
 |Quadbiyo & Zotriyo & Luyoyo
 | | [-9 -6 8], '''(50/49)''' '''875/864''', 100/99 (99/98 385/384)
-|(P8/2, Wm7/8)
+|(P8/2, cm7/8)
 | | 2 1 3 4 8<br>0 4 3 3 -2
 | | 3.407
@@ Line 5,038: / Line 5,231: @@
 |Quinbigu & Zotrigu & Lorugugu
 | | [9 9 -10], 126/125, 176/175 (243/242)
-|(P8, WWP5/10)
+|(P8, ccP5/10)
 | | 1 9 9 8 22<br>0 -10 -9 -7 -25
 | | 4.127
@@ Line 5,047: / Line 5,240: @@
 |Tritriyo & Zotriyo & Luyoyo
 | | [-5 -10 9], 875/864, 100/99 (245/242 385/384)
-|(P8, WWP4/9)
+|(P8, ccP4/9)
 | | 1 4 5 2 4<br>0 -9 -10 3 -2
 | | 4.137
@@ Line 5,056: / Line 5,249: @@
 |Saquadbigu & Ruyoyo & Loruru
 | | [17 1 -8], 225/224, 99/98 (176/175 243/242)
-|(P8, WWP5/8)
+|(P8, ccP5/8)
 | | 1 7 3 15 17<br>0 -8 -1 -18 -20
 | | 4.344
@@ Line 5,083: / Line 5,276: @@
 |Sepgu & Zotrigu & Lorugugu
 | | [2 9 -7], 126/125, 176/175
-|(P8, WWP5/7)
+|(P8, ccP5/7)
 | | 1 6 8 11 23<br>0 -7 -9 -13 -31
 | | 4.503
@@ Line 5,110: / Line 5,303: @@
 |Lala-quinyo & Ruyoyo & Luzozogu
 | | [-29 11 5], 225/224, '''(121/120)''' 441/440
-|(P8, WWP4/5)
+|(P8, ccP4/5)
 | | 1 4 -3 -3 2<br>0 -5 11 12 3
 | | 4.596
@@ Line 5,137: / Line 5,330: @@
 |Lala-leyo & Ruyoyo & Lozoyo
 | | [-35 6 11], 225/224, '''(245/242)''' 385/384
-|(P8, WWP4/11)
+|(P8, ccP4/11)
 | | 1 4 1 5 5<br>0 -11 6 -10 -7
 | | 5.089
@@ Line 5,155: / Line 5,348: @@
 |Saquadtrigu & Zotrigu & Lorugugu
 | | [20 5 -12], 126/125, 176/175 (1344/1331)
-|(P8, W<sup>5</sup>P5/12)
+|(P8, c<sup>5</sup>P5/12)
 | | 1 8 5 -2 4<br>0 -12 -5 9 -1
 | | 5.622
@@ Line 5,164: / Line 5,357: @@
 |Saquadbigu & Zozoquingu & Lorugugu
 | | [17 1 -8], '''(2401/2400)''' 3136/3125, '''(121/120)''' 176/175 (1375/1372)
-|(P8, WWP5/16)
+|(P8, ccP5/16)
 | | 1 15 4 7 11<br>0 -16 -2 -5 -9
 | | 5.723
@@ Line 5,647: / Line 5,840: @@
 | | 31.857
 |}
 {| class="wikitable sortable"
@@ Line 5,661: / Line 5,853: @@
 |-
 |1-edo & Yobi & Rubi + ela
-or ela nowa
+or ela nowa (2.11 JI)
 | | 4/3, 5/4, 8/7 (7/6)
 |(P8, P4)
@@ Line 5,671: / Line 5,863: @@
 |-
 |1-edo & Yobi & Loquad + za
-or za nowa
+or za nowa (2.7 JI)
 | | 4/3, 5/4, 11/8 (11/10)
 |(P8, M2)
@@ Line 5,910: / Line 6,102: @@
 |}
+== 3 commas ==
+=== yazala ===
-(The original version of this page is here: [[Catalog of eleven-limit rank two temperaments]].)
-Below is a '''complete''' listing of all 193 11-limit rank-two temperaments with TE complexity less than 16 and TE badness less than 1/30, obtained by the method discussed [[The_wedgie|here]]. The TE error is multiplied by 1200 so that it can be thought of as cents, and the badness is multiplied by 1000. Some "Junk" temperaments of very Low complexity are listed below the main list, which is ordered by increasing complexity.
-=Temperament list=
-THIS LIST IS SORTABLE, so you can sort by name or by pergen, and look up a specific temperament. Rules for choosing comma sets: prime limit strictly ascends, no torsion allowed, primes excluded because of downward inheritances are not allowed in other commas, and [[Odd limit|double-odd-limit]] is minimized. See: [[Color notation/Temperament Names|Color Notation/Temperament names]].
-* Color name column: alternatives or objections are '''bolded'''
-* Pergen column: all double-splits are false doubles unless otherwise noted.
-* Commas column: ratios are grouped by prime limit with actual commas (","), and sorted within prime-limit by [[Odd limit|double odd limit]].
-* Co = Complexity = corresponds roughly to the odd limit of the commas
-* Err = Error = corresponds roughly to the cents discrepancy from JI
-* Bad = Badness = a combination of complexity and error
 {| class="wikitable sortable"
 |-
@@ Line 5,967: / Line 6,144: @@
 |-
 | |
 |2-edo & Yoyo & Ruyo + ela
-'''(4-edo & Ruyo + ela?)'''
 | | 9/8, 25/24, 15/14
 |(P8/4, ^1)
@@ Line 6,076: / Line 6,252: @@
 |-
 | |
-|5-edo & Gubi & Zogu + ela
+|Sawa & Gubi & Zogu + ela
 | | 256/243, 16/15, 21/20 (28/27)
 |(P8/5, ^1)
@@ Line 6,247: / Line 6,423: @@
 |-
 | |
-|5-edo (& Zo & Loru) + ya
+|Sawa (& Zo & Loru) + ya
 | | 256/243, 28/27, 22/21 (33/32)
 |(P8/5, ^1)
@@ Line 6,274: / Line 6,450: @@
 |-
 | | Ferrum
-|5-edo & Zo & Luzoyo
+|Sawa & Zo & Luzoyo
 | | 256/243, 28/27 (49/48), 35/33
 |(P8/5, ^1)
@@ Line 6,329: / Line 6,505: @@
 |-
 | | Jamesbond
-|7-edo (& Gu & Lo) + za
+|Lawa (& Gu & Lo) + za
 | | [-11 7], (25/24) 81/80, 33/32 (45/44)
 |(P8/7,^1)
@@ Line 6,411: / Line 6,587: @@
 |-
 | | Blacksmith
-|5-edo & Zo & Loyo
+|Sawa & Zo & Loyo
 | | 256/243, 28/27 (49/48 64/63), 55/54
 |(P8/5, ^1)
@@ Line 6,466: / Line 6,642: @@
 |-
 | | Ferrier
-|5-edo & Zo & Lozogugu
+|Sawa & Zo & Lozogugu
 | | 256/243, 28/27 (49/48 64/63), 77/75
 |(P8/5, ^1)
@@ Line 6,529: / Line 6,705: @@
 |-
 | | Duodecim
-|12-edo (& Gu & Rugu) + ela
+|Lalawa (& Gu & Rugu) + ela
 | | [-19 12], 81/80, 36/35 (50/49 64/63)
 |(P8/12, ^1)
@@ Line 6,657: / Line 6,833: @@
 |Sepgu & Zotrigu & Luzogu
 | | [2 9 -7], 126/125 (245/243), 56/55 [100/99]
-|(P8, WW5/7)
+|(P8, cc5/7)
 | | 1 6 8 11 6<br>0 -7 -9 -13 -4
 | | 2.98
@@ Line 6,711: / Line 6,887: @@
 |Quadbiyo & Zotriyo & Luyoyo
 | | [-9 -6 8], '''(50/49)''' '''875/864''', 100/99 (99/98 385/384)
-|(P8/2, Wm7/8)
+|(P8/2, cm7/8)
 | | 2 1 3 4 8<br>0 4 3 3 -2
 | | 3.407
@@ Line 6,828: / Line 7,004: @@
 |Quinbigu & Zotrigu & Lorugugu
 | | [9 9 -10], 126/125, 176/175 (243/242)
-|(P8, WWP5/10)
+|(P8, ccP5/10)
 | | 1 9 9 8 22<br>0 -10 -9 -7 -25
 | | 4.127
@@ Line 6,837: / Line 7,013: @@
 |Tritriyo & Zotriyo & Luyoyo
 | | [-5 -10 9], 875/864, 100/99 (245/242 385/384)
-|(P8, WWP4/9)
+|(P8, ccP4/9)
 | | 1 4 5 2 4<br>0 -9 -10 3 -2
 | | 4.137
@@ Line 6,846: / Line 7,022: @@
 |Saquadbigu & Ruyoyo & Loruru
 | | [17 1 -8], 225/224, 99/98 (176/175 243/242)
-|(P8, WWP5/8)
+|(P8, ccP5/8)
 | | 1 7 3 15 17<br>0 -8 -1 -18 -20
 | | 4.344
@@ Line 6,873: / Line 7,049: @@
 |Sepgu & Zotrigu & Lorugugu
 | | [2 9 -7], 126/125, 176/175
-|(P8, WWP5/7)
+|(P8, ccP5/7)
 | | 1 6 8 11 23<br>0 -7 -9 -13 -31
 | | 4.503
@@ Line 6,900: / Line 7,076: @@
 |Lala-quinyo & Ruyoyo & Luzozogu
 | | [-29 11 5], 225/224, '''(121/120)''' 441/440
-|(P8, WWP4/5)
+|(P8, ccP4/5)
 | | 1 4 -3 -3 2<br>0 -5 11 12 3
 | | 4.596
@@ Line 6,927: / Line 7,103: @@
 |Lala-leyo & Ruyoyo & Lozoyo
 | | [-35 6 11], 225/224, '''(245/242)''' 385/384
-|(P8, WWP4/11)
+|(P8, ccP4/11)
 | | 1 4 1 5 5<br>0 -11 6 -10 -7
 | | 5.089
@@ Line 6,945: / Line 7,121: @@
 |Saquadtrigu & Zotrigu & Lorugugu
 | | [20 5 -12], 126/125, 176/175 (1344/1331)
-|(P8, W<sup>5</sup>P5/12)
+|(P8, c<sup>5</sup>P5/12)
 | | 1 8 5 -2 4<br>0 -12 -5 9 -1
 | | 5.622
@@ Line 6,954: / Line 7,130: @@
 |Saquadbigu & Zozoquingu & Lorugugu
 | | [17 1 -8], '''(2401/2400)''' 3136/3125, '''(121/120)''' 176/175 (1375/1372)
-|(P8, WWP5/16)
+|(P8, ccP5/16)
 | | 1 15 4 7 11<br>0 -16 -2 -5 -9
 | | 5.723
@@ Line 7,438: / Line 7,614: @@
 |}
-=Junk temperaments=
-Some of these contain the trivial commas 1-edo, Yobi, Rubi and Loquad, which set some prime to some number of octaves, and in effect remove the prime from the subgroup. These trivial commas can be omitted from the temperament name if desired.
-A fourth comma is included in the comma list if it has the same or smaller odd limit, and roughly the same or smaller size in cents. This comma isn't used in the temperament name, and is in parentheses.
 {| class="wikitable sortable"
 |-
@@ Line 7,454: / Line 7,626: @@
 |-
 |1-edo & Yobi & Rubi + ela
-or ela nowa
+or ela nowa (2.11 JI)
 | | 4/3, 5/4, 8/7 (7/6)
 |(P8, P4)
@@ Line 7,464: / Line 7,636: @@
 |-
 |1-edo & Yobi & Loquad + za
-or za nowa
+or za nowa (2.7 JI)
 | | 4/3, 5/4, 11/8 (11/10)
 |(P8, M2)
@@ Line 7,702: / Line 7,874: @@
 | | 33.250
 |}
+[[Category:Lists of temperaments]]
+[[Category:Rank 2]]

Catalog of rank two temperaments: Difference between revisions