User:TallKite/Catalog of thirteen-limit rank two temperaments with Color names
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Original version is at https://en.xen.wiki/w/Catalog_of_thirteen-limit_rank_two_temperaments
Below is a complete listing of all 239 13-limit rank-two temperaments with generator complexity less than 40 and TE badness less than 0.025, obtained by the method discussed 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 and high error are listed below the main list, which is ordered by increasing generator complexity, with ties broken by TE 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 double-odd-limit is minimized. See: Color Notation/Temperament names.
- Pergen column: all double-splits are false doubles unless otherwise noted. All tippy pergens have an asterisk *.
- Commas column: as in the original
- Cmp = 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
| Name | Mapping | Pergen | Commas | Cmp | Error | Bad |
|---|---|---|---|---|---|---|
| Dicot (extension) | 1 1 2 2 2 2 0 2 1 3 5 6 |
(P8, P5/2)
MoToPoLa |
15/14 22/21 25/24 52/49 | 1.6214 | 27.3134 | 18.9555 |
| Father (extension) | 1 1 3 1 1 5 0 1 -1 3 4 -2 |
(P8, P5)
FaLaMaTha |
16/15 22/21 26/25 28/27 | 1.6967 | 21.9084 | 20.1335 |
| Dicot extension | 1 1 2 2 2 4 0 2 1 3 5 -1 |
(P8, P5/2)
MoToPaLo |
15/14 22/21 25/24 40/39 | 1.7156 | 27.3628 | 22.7796 |
| Sharptone extension | 1 1 0 1 0 4 0 1 4 3 6 3 |
(P8, P5)
MaLaPaLa |
14/13 21/20 27/26 45/44 | 1.7344 | 27.8260 | 21.2719 |
| Plutus extension | 1 1 0 0 0 2 0 1 4 5 6 3 |
(P8, P5)
MaTaPaLa |
15/14 22/21 27/26 40/39 | 1.7810 | 27.5776 | 24.7359 |
| Mother extension | 1 1 3 4 6 5 0 1 -1 -2 -4 -2 |
(P8, P5)
FaThaFlaTha |
14/13 16/15 26/25 35/33 | 1.7872 | 36.0627 | 24.9964 |
| Flat | 1 1 2 3 4 4 0 2 1 -1 -2 -1 |
(P8, P5/2)
MoLoFaLo |
14/13 21/20 25/24 33/32 | 1.8400 | 30.6716 | 23.4200 |
| Eudicot | 1 1 2 2 4 4 0 2 1 3 -2 -1 |
(P8, P5/2)
MoToFaLo |
15/14 25/24 33/32 40/39 | 1.8400 | 26.9815 | 23.8284 |
| Mavila variant | 1 1 4 4 4 6 0 1 -3 -2 -1 -4 |
(P8, P5)
NaThaFaFla |
15/14 22/21 40/39 52/49 | 1.9230 | 27.4422 | 23.2705 |
| Meanertone extension | 1 1 0 1 4 2 0 1 4 3 -1 3 |
(P8, P5)
MaLaFaLa |
14/13 21/20 27/26 33/32 | 2.0118 | 27.4831 | 23.7844 |
| Beep (extension) | 1 2 3 3 5 5 0 -2 -3 -1 -7 -6 |
(P8, P4/2)
MuThoPuFla |
21/20 26/25 27/25 45/44 | 2.0235 | 19.3072 | 18.0832 |
| Father extension | 1 1 3 1 1 0 0 1 -1 3 4 6 |
(P8, P5)
FaLaMaPa |
16/15 22/21 28/27 52/49 | 2.0521 | 22.3720 | 21.6827 |
| Pentoid variant | 1 2 3 3 3 3 0 -2 -3 -1 2 3 |
(P8, P4/2)
MuThoFaLu |
21/20 27/25 66/65 99/98 | 2.1027 | 19.4190 | 22.7850 |
| Augustus | 3 3 7 5 7 11 0 1 0 2 2 0 |
(P8/3, P5) *
MuThoPuFloBi |
26/25 36/35 45/44 56/55 | 2.1372 | 14.5611 | 22.2357 |
| Hystrix (extension) | 1 2 3 3 4 4 0 -3 -5 -1 -4 -2 |
(P8, P4/3)
MoThuFuLo |
22/21 36/35 40/39 52/49 | 2.1534 | 17.2113 | 19.8014 |
| Blacksmith variant | 5 8 12 14 18 19 0 0 -1 0 -1 -1 |
(P8/5, ^1)
MoThaSoLo |
28/27 35/33 40/39 49/48 | 2.1534 | 17.4180 | 22.5573 |
| Pentoid (extension) | 1 2 3 3 3 5 0 -2 -3 -1 2 -6 |
(P8, P4/2)
MuThoFaLa |
21/20 26/25 27/25 33/32 | 2.1996 | 18.8797 | 21.1593 |
| Father variant | 1 1 3 1 6 5 0 1 -1 3 -4 -2 |
(P8, P5)
FaLaFlaTha |
16/15 26/25 28/27 77/75 | 2.2249 | 19.9728 | 21.1254 |
| Pelogic (extension) | 1 1 4 5 4 2 0 1 -3 -4 -1 3 |
(P8, P5) NaFlaFaLa |
21/20 27/26 33/32 65/64 | 2.2355 | 17.0065 | 21.5281 |
| Pelogic extension | 1 1 4 5 4 7 0 1 -3 -4 -1 -6 |
(P8, P5) NaFlaFaSha |
21/20 26/25 33/32 45/44 | 2.2524 | 18.4570 | 22.2116 |
| Sharp extension | 1 1 2 1 2 4 0 2 1 6 5 -1 |
(P8, P5/2) MoLaPoLo |
25/24 28/27 35/33 40/39 | 2.4075 | 17.3437 | 21.8080 |
| Pater extension | 1 1 3 6 6 5 0 1 -1 -5 -4 -2 |
(P8, P5) FaFraFlaTha |
16/15 22/21 26/25 100/99 | 2.4120 | 22.2679 | 24.9369 |
| Sharp extension | 1 1 2 1 2 1 0 2 1 6 5 9 |
(P8, P5/2) |
25/24 28/27 35/33 65/63 | 2.4321 | 17.9441 | 23.0236 |
| August | 3 3 7 5 7 6 0 1 0 2 2 3 |
(P8/3, P5) * |
27/26 36/35 45/44 56/55 | 2.4321 | 11.6244 | 18.4482 |
| Arnold | 1 1 0 4 4 2 0 1 4 -2 -1 3 |
(P8, P5) MaThaFaLa |
22/21 27/26 33/32 40/39 | 2.4351 | 20.2444 | 23.3005 |
| Dominatrix | 1 1 0 4 0 2 0 1 4 -2 6 3 |
(P8, P5) MaThaPaLa |
27/26 36/35 45/44 64/63 | 2.4468 | 13.7371 | 18.2887 |
| Jamesbond | 7 11 16 20 24 26 0 0 0 -1 0 0 |
(P8/7, ^1) |
25/24 27/26 33/32 45/44 | 2.4935 | 16.1224 | 23.0035 |
| Septimal | 7 11 16 20 24 26 0 0 0 -1 0 -1 |
(P8/7, ^1) |
25/24 33/32 45/44 65/63 | 2.4935 | 13.2598 | 22.5694 |
| Diminished variant | 4 4 7 9 9 10 0 1 1 1 2 2 |
(P8/4, P5) * |
22/21 26/25 36/35 50/49 | 2.5237 | 17.3415 | 21.6035 |
| Diminished variant | 4 4 7 9 14 10 0 1 1 1 0 2 |
(P8/4, P5) * |
26/25 36/35 50/49 56/55 | 2.5237 | 15.0507 | 23.8852 |
| Diminished variant | 4 4 7 9 14 15 0 1 1 1 0 0 |
(P8/4, P5) * |
36/35 40/39 50/49 66/65 | 2.5237 | 11.9675 | 19.5087 |
| Octokaidecal variant | 2 2 1 2 2 5 0 1 3 3 4 2 |
(P8/2, P5) * |
22/21 28/27 40/39 50/49 | 2.5841 | 16.7342 | 22.5814 |
| Octokaidecal (extension) | 2 2 1 2 7 5 0 1 3 3 0 2 |
(P8/2, P5) * |
28/27 40/39 50/49 55/54 | 2.5841 | 13.2207 | 20.6424 |
| Dichotic extension | 1 1 2 4 4 4 0 2 1 -4 -2 -1 |
(P8, P5/2) |
22/21 25/24 33/32 40/39 | 2.6867 | 18.7092 | 22.7413 |
| Dichotic (extension) | 1 1 2 4 2 4 0 2 1 -4 5 -1 |
(P8, P5/2) |
25/24 40/39 45/44 65/63 | 2.8702 | 14.1529 | 21.6740 |
| Decimal (extension) | 2 0 3 4 -1 1 0 2 1 1 5 4 |
(P8/2, P4/2) |
25/24 45/44 49/48 78/77 | 2.8906 | 12.3389 | 21.3256 |
| Blacksmith variant | 5 8 12 14 18 19 0 0 1 0 2 1 |
(P8/5, ^1) |
28/27 40/39 49/48 66/65 | 2.8906 | 11.1408 | 22.3247 |
| Pajaric | 2 2 7 8 7 11 0 1 -2 -2 0 -3 |
(P8/2, P5) * |
40/39 45/44 50/49 56/55 | 2.9846 | 11.0657 | 20.4605 |
| Armodue (extension) | 1 1 4 0 4 2 0 1 -3 5 -1 3 |
(P8, P5) NaTaFaLa |
27/26 33/32 36/35 45/44 | 3.0731 | 12.8903 | 19.3512 |
| Progression | 1 1 2 2 3 3 0 5 3 7 4 6 |
(P8, P5/5) |
26/25 36/35 56/55 66/65 | 3.1546 | 11.1466 | 18.1575 |
| Opossum variant | 1 2 3 4 4 5 0 -3 -5 -9 -4 -10 |
(P8, P4/3) |
26/25 28/27 55/54 65/63 | 3.2059 | 14.1496 | 24.4605 |
| Opossum | 1 2 3 4 4 4 0 -3 -5 -9 -4 -2 |
(P8, P4/3) |
28/27 40/39 55/54 66/65 | 3.2059 | 10.9238 | 19.3894 |
| 12 & 12f | 12 19 28 34 42 45 0 0 0 0 0 1 |
(P8/12, ^1) |
36/35 45/44 50/49 56/55 | 3.2429 | 11.5467 | 24.8352 |
| Diminished variant | 4 4 7 9 7 8 0 1 1 1 3 3 |
(P8/4, P5) * |
27/26 36/35 45/44 50/49 | 3.4688 | 11.0754 | 22.8374 |
| Godzilla | 1 2 4 3 6 7 0 -2 -8 -1 -12 -11 |
(P8, P4/2) |
45/44 49/48 78/77 81/80 | 3.4688 | 8.1712 | 22.5029 |
| Meanundec | 1 1 0 -3 0 2 0 1 4 10 6 3 |
(P8, P5) MaLuPaLa |
27/26 40/39 45/44 56/55 | 3.5621 | 12.3475 | 24.2428 |
| Blacksmith (extension) | 5 8 12 14 17 19 0 0 -1 0 1 -1 |
(P8/5, ^1) |
28/27 40/39 49/48 55/54 | 3.5987 | 10.3814 | 20.4976 |
| Triforce | 3 6 7 9 11 13 0 -2 0 -1 -1 -3 |
(P8/3, P4/2) |
49/48 56/55 66/65 77/75 | 3.7856 | 7.9575 | 20.2480 |
| Darjeeling (extension) | 1 0 1 2 0 0 0 6 5 3 13 14 |
(P8, P12/6) |
49/48 55/54 66/65 77/75 | 3.7856 | 7.3788 | 21.4453 |
| Negri | 1 2 2 3 4 4 0 -4 3 -2 -5 -3 |
(P8, P4/4) |
45/44 49/48 56/55 78/77 | 3.8157 | 8.6891 | 17.8329 |
| Negric | 1 2 2 3 3 4 0 -4 3 -2 4 -3 |
(P8, P4/4) |
33/32 49/48 65/64 91/90 | 3.8157 | 8.5618 | 20.2047 |
| Superpelog (extension) | 1 2 1 3 3 3 0 -2 6 -1 2 3 |
(P8, P4/2) |
33/32 45/44 49/48 78/77 | 3.8459 | 10.9415 | 22.4731 |
| Semafour extension | 1 2 4 3 3 6 0 -2 -8 -1 2 -11 |
(P8, P4/2) |
33/32 49/48 55/54 91/90 | 4.0235 | 8.0673 | 23.5937 |
| Augene | 3 3 7 12 14 15 0 1 0 -2 -2 -1 |
(P8/3, P5) * |
40/39 56/55 64/63 66/65 | 4.0300 | 8.4291 | 20.7855 |
| Meanenneadecal | 1 1 0 -3 0 -5 0 1 4 10 6 15 |
(P8, P5) MaLuPaSi |
45/44 56/55 78/77 81/80 | 4.0536 | 7.5265 | 21.1818 |
| Dominant | 1 1 0 4 7 9 0 1 4 -2 -6 -9 |
(P8, P5) MaThaShaTho |
36/35 56/55 64/63 66/65 | 4.1548 | 9.0031 | 24.1076 |
| Porcupine variant | 1 2 3 2 4 4 0 -3 -5 6 -4 -2 |
(P8, P4/3) |
40/39 55/54 64/63 66/65 | 4.2906 | 7.7242 | 21.2764 |
| Hedgehog (extension) | 2 4 6 7 8 9 0 -3 -5 -5 -4 -6 |
(P8/2, P4/3) |
50/49 55/54 65/63 99/98 | 4.3068 | 7.9361 | 21.5156 |
| Keemun variant | 1 0 1 2 4 0 0 6 5 3 -2 14 |
(P8, P12/6) |
49/48 56/55 91/90 625/624 | 4.3637 | 6.3766 | 22.7494 |
| Sensi variant | 1 -1 -1 -2 -1 0 0 7 9 13 12 10 |
(P8, ccP5/7) |
55/54 66/65 77/75 143/140 | 4.6307 | 7.4628 | 23.2580 |
| Sensis | 1 -1 -1 -2 2 0 0 7 9 13 4 10 |
(P8, ccP5/7) |
56/55 78/77 91/90 100/99 | 4.6307 | 5.5229 | 20.0172 |
| Meanenneadecal variant | 1 1 0 -3 0 6 0 1 4 10 6 -4 |
(P8, P5) MaLuPaFla |
45/44 56/55 65/64 81/80 | 4.6430 | 8.6347 | 24.7630 |
| Pajara variant | 2 2 7 8 14 11 0 1 -2 -2 -6 -3 |
(P8/2, P5) * |
40/39 50/49 64/63 99/98 | 4.7306 | 7.8062 | 22.6765 |
| Injera | 2 2 0 1 0 -3 0 1 4 4 6 9 |
(P8/2, P5) * |
45/44 50/49 78/77 99/98 | 4.8643 | 6.7024 | 21.5655 |
| Flattone variant | 1 1 0 8 4 6 0 1 4 -9 -1 -4 |
(P8, P5) MaThoFaFla |
33/32 55/54 65/64 105/104 | 4.9286 | 8.2456 | 24.9444 |
| Flattone (extension) | 1 1 0 8 0 6 0 1 4 -9 6 -4 |
(P8, P5) MaThoPaFla |
45/44 65/64 78/77 81/80 | 4.9403 | 6.1445 | 22.2597 |
| Nautilus | 1 2 3 3 4 5 0 -6 -10 -3 -8 -19 |
(P8, P4/6) |
49/48 55/54 91/90 100/99 | 5.1345 | 5.6901 | 22.2846 |
| Meantone | 1 1 0 -3 -7 -5 0 1 4 10 18 15 |
(P8, P5) MaLuMiSi |
66/65 81/80 99/98 105/104 | 5.2032 | 4.3643 | 18.0484 |
| Ringo | 1 1 5 4 2 4 0 2 -9 -4 5 -1 |
(P8, P5/2) |
56/55 64/63 78/77 91/90 | 5.3214 | 5.7998 | 22.6194 |
| Superpyth (extension) | 1 1 -3 4 -6 -4 0 1 9 -2 16 13 |
(P8, P5) RuThaRiPu |
64/63 78/77 91/90 100/99 | 5.3375 | 5.1055 | 24.6725 |
| Ogene | 3 3 7 12 14 4 0 1 0 -2 -2 4 |
(P8/3, P5) * |
56/55 64/63 91/90 100/99 | 5.3801 | 5.4596 | 22.8903 |
| Undevigintone | 19 30 44 53 66 70 0 0 0 0 -1 0 |
(P8/19, ^1) |
49/48 65/64 81/80 91/90 | 5.4922 | 4.8990 | 22.9331 |
| Negroni | 1 2 2 3 5 4 0 -4 3 -2 -15 -3 |
(P8, P4/4) |
49/48 55/54 65/64 91/90 | 5.6280 | 5.5412 | 21.5588 |
| Niner | 9 9 21 20 26 28 0 1 0 1 1 1 |
(P8/9, P5) |
56/55 78/77 91/90 128/125 | 5.6784 | 5.4793 | 24.1428 |
| Blair | 1 0 3 1 3 3 0 7 -3 8 2 3 |
(P8, P12/7) |
65/64 78/77 91/90 99/98 | 5.7085 | 5.5776 | 23.0863 |
| Winston | 1 0 3 1 3 1 0 7 -3 8 2 12 |
(P8, P12/7) |
66/65 99/98 105/104 121/120 | 5.7085 | 4.3658 | 19.9306 |
| Agene | 3 3 7 12 14 20 0 1 0 -2 -2 -5 |
(P8/3, P5) * |
56/55 64/63 78/77 100/99 | 5.9464 | 5.4878 | 23.1130 |
| Pajara | 2 2 7 8 14 18 0 1 -2 -2 -6 -9 |
(P8/2, P5) * |
50/49 64/63 99/98 975/968 | 6.1261 | 4.7671 | 22.3268 |
| Cassandra | 1 1 7 11 14 16 0 1 -8 -14 -18 -21 |
(P8, P5) FoDeFleDimDe |
100/99 105/104 196/195 245/242 | 6.3059 | 3.2191 | 20.7493 |
| Crepuscular | 2 2 3 4 6 6 0 5 7 7 4 6 |
(P8/2, P5/5) |
50/49 78/77 99/98 144/143 | 6.3093 | 4.5686 | 24.3679 |
| Negril | 1 2 2 3 2 4 0 -4 3 -2 14 -3 |
(P8, P4/4) |
49/48 65/64 91/90 875/858 | 6.5706 | 5.1756 | 24.3832 |
| Modus | 1 1 1 4 2 4 0 4 9 -8 10 -2 |
(P8, P5/4) |
64/63 78/77 100/99 144/143 | 6.7257 | 4.1699 | 23.8059 |
| Lupercalia | 1 1 2 3 3 3 0 9 5 -3 7 11 |
(P8, P5/9) |
66/65 105/104 121/120 126/125 | 6.7470 | 4.1905 | 21.3278 |
| Superkleismic | 1 4 5 2 4 8 0 -9 -10 3 -2 -16 |
(P8, ccP4/9) |
100/99 105/104 245/242 1188/1183 | 6.7470 | 3.2749 | 21.4777 |
| Nusecond | 1 3 4 5 5 5 0 -11 -13 -17 -12 -10 |
(P8, P11/11) |
66/65 99/98 121/120 126/125 | 6.9402 | 4.0097 | 23.3231 |
| Magic | 1 0 2 -1 6 -2 0 5 1 12 -8 18 |
(P8, P12/5) |
100/99 105/104 144/143 196/195 | 7.1768 | 3.2665 | 21.5095 |
| Miraculous | 1 1 3 3 2 4 0 6 -7 -2 15 -3 |
(P8, P5/6) |
105/104 144/143 196/195 275/273 | 7.3507 | 2.7371 | 18.6685 |
| Mohajira | 1 1 0 6 2 4 0 2 8 -11 5 -1 |
(P8, P5/2) |
66/65 105/104 121/120 512/507 | 7.3637 | 4.3193 | 23.3878 |
| Mothra | 1 1 0 3 5 1 0 3 12 -1 -8 14 |
(P8, P5/3) |
81/80 99/98 105/104 144/143 | 7.4806 | 3.6713 | 23.9543 |
| Würschmidt | 1 -1 2 -3 -3 -3 0 8 1 18 20 -4 |
(P8, ccP5/8) |
99/98 144/143 176/175 275/273 | 7.4927 | 2.7652 | 23.5928 |
| Meanpop | 1 1 0 -3 11 -5 0 1 4 10 -13 15 |
(P8, P5) MaLuShoSi |
81/80 105/104 144/143 196/195 | 7.8114 | 3.1263 | 20.8828 |
| Agora | 1 3 8 6 7 14 0 -4 -16 -9 -10 -29 |
(P8, P11/4) |
81/80 99/98 105/104 121/120 | 7.8369 | 3.4913 | 24.5215 |
| Tritonic | 1 4 -3 -3 2 -5 0 -5 11 12 3 18 |
(P8, ccP4/5) |
105/104 121/120 196/195 275/273 | 8.0189 | 2.8102 | 22.9934 |
| Dwynwen | 1 1 2 3 3 2 0 9 5 -3 7 26 |
(P8, P5/9) |
91/90 121/120 126/125 176/175 | 8.0948 | 2.9858 | 23.4609 |
| Bohpier | 1 0 0 0 2 2 0 13 19 23 12 14 |
(P8, P12/9) |
100/99 144/143 245/243 275/273 | 8.2021 | 2.7870 | 24.8637 |
| Myna | 1 -1 0 1 -3 5 0 10 9 7 25 -5 |
(P8, ccP5/10) |
126/125 144/143 176/175 196/195 | 8.5778 | 1.9478 | 17.1255 |
| Octacot | 1 1 1 2 2 4 0 8 18 11 20 -4 |
(P8, P5/8) |
100/99 144/143 243/242 245/242 | 8.8331 | 2.6029 | 23.2762 |
| Sensus | 1 6 8 11 23 10 0 -7 -9 -13 -31 -10 |
(P8, ccP5/7) |
91/90 126/125 169/168 352/351 | 8.9610 | 2.9616 | 20.7887 |
| Leapday | 1 1 -10 -6 -3 -1 0 1 21 15 11 8 |
(P8, P5) DiyuSiMuSu |
91/90 121/120 169/168 441/440 | 9.0442 | 2.8672 | 24.7316 |
| Cataclysmic | 1 0 1 -3 -5 0 0 6 5 22 32 14 |
(P8, P12/6) |
99/98 169/168 176/175 275/273 | 9.2501 | 2.4818 | 22.5549 |
| Diaschismic | 2 2 7 15 21 40 0 1 -2 -8 -12 -15 |
(P8/2, P5) * |
126/125 176/175 196/195 364/363 | 9.3690 | 1.7525 | 18.9259 |
| Septimin | 1 4 1 5 5 7 0 -11 6 -10 -7 -15 |
(P8, ccP4/11) |
105/104 144/143 196/195 245/242 | 9.5243 | 2.7176 | 23.1168 |
| Witchcraft | 1 0 2 -1 -7 -2 0 5 1 12 33 18 |
(P8, P12/5) |
105/104 196/195 245/243 1188/1183 | 9.5391 | 2.5946 | 23.5472 |
| Orwell | 1 0 3 1 3 8 0 7 -3 8 2 -19 |
(P8, P12/7) |
99/98 121/120 176/175 275/273 | 9.5510 | 2.3097 | 19.7181 |
| Bunya | 1 1 1 -1 2 4 0 4 9 26 10 -2 |
(P8, P5/4) |
100/99 144/143 243/242 275/273 | 9.8019 | 2.6925 | 24.8861 |
| Thuja | 1 -4 0 7 3 -7 0 12 5 -9 1 23 |
(P8, c5P5/12) |
126/125 144/143 176/175 364/363 | 10.7770 | 1.9835 | 22.8384 |
| Alicorn | 1 2 3 4 3 5 0 -8 -13 -23 9 -25 |
(P8, P4/8) |
126/125 144/143 196/195 676/675 | 10.7943 | 1.9579 | 23.6666 |
| Hemififths | 1 1 -5 -1 2 4 0 2 25 13 5 -1 |
(P8, P5/2) |
144/143 196/195 243/242 364/363 | 11.0372 | 1.5814 | 19.0896 |
| Valentino | 1 1 2 3 3 5 0 9 5 -3 7 -20 |
(P8, P5/9) |
121/120 126/125 176/175 196/195 | 11.0831 | 2.0505 | 20.6653 |
| Hendec | 2 5 8 5 6 8 0 -6 -11 2 3 -2 |
(P8, cm7/12) |
169/168 325/324 364/363 1716/1715 | 11.2093 | 1.1966 | 17.7067 |
| Bisemidim | 2 1 2 2 5 5 0 9 11 15 8 10 |
(P8, ccM2/18) |
126/125 144/143 196/195 364/363 | 11.3567 | 1.8575 | 23.8769 |
| Infraorwell | 1 -2 3 -1 1 -1 0 16 -3 17 11 21 |
(P8, c3P5/16) |
144/143 176/175 196/195 364/363 | 11.3869 | 1.9483 | 23.6834 |
| Garibaldi | 1 1 7 11 -10 -8 0 1 -8 -14 23 20 |
(P8, P5) FoDeRiyuPi |
225/224 275/273 325/324 385/384 | 11.6354 | 1.4775 | 20.6757 |
| Hitchcock | 1 3 6 -2 6 2 0 -5 -13 17 -9 6 |
(P8, P11/5) |
121/120 169/168 176/175 325/324 | 11.6543 | 1.9118 | 22.4484 |
| Quartonic | 1 2 3 3 5 4 0 -11 -18 -5 -41 -8 |
(P8, P4/11) |
169/168 176/175 325/324 540/539 | 11.8517 | 1.7776 | 23.8747 |
| Buzzard | 1 0 -6 4 -12 -7 0 4 21 -3 39 27 |
(P8, P12/4) |
176/175 351/350 676/675 847/845 | 12.3421 | 1.1747 | 18.8425 |
| Echidna | 2 4 3 7 5 3 0 -3 6 -5 7 16 |
(P8/2, P4/3) |
176/175 351/350 364/363 540/539 | 12.4332 | 1.4956 | 23.6786 |
| Mystery | 29 46 67 81 100 107 0 0 1 1 1 1 |
(P8/29, ^1) |
196/195 352/351 364/363 676/675 | 12.4896 | 1.0869 | 18.5912 |
| Sruti | 2 4 13 11 9 7 0 -2 4 -13 -5 1 |
(P8/2, P4/2) |
144/143 176/175 351/350 676/675 | 12.7068 | 1.8820 | 23.7911 |
| Compton | 12 19 28 34 42 45 0 0 -1 -2 -3 -4 |
(P8/12, ^1) |
225/224 351/350 364/363 441/440 | 12.9714 | 1.2359 | 21.8524 |
| Lizard | 2 1 5 2 8 11 0 6 -1 10 -3 -10 |
225/224 351/350 364/363 385/384 | 12.9759 | 1.3242 | 21.7807 | |
| Ennealimnic | 9 1 1 12 -2 20 0 2 3 2 5 2 |
169/168 243/242 325/324 441/440 | 13.0079 | 1.3158 | 20.6966 | |
| Marvolo | 1 2 1 1 2 3 0 -6 19 26 21 10 |
(P8, P4/6) |
169/168 225/224 364/363 441/440 | 13.0470 | 1.3528 | 21.4699 |
| Rodan | 1 1 -1 3 6 8 0 3 17 -1 -13 -22 |
(P8, P5/3) |
196/195 245/243 352/351 364/363 | 13.2667 | 1.3261 | 18.4483 |
| Manna | 1 1 3 3 2 0 0 6 -7 -2 15 38 |
(P8, P5/6) |
225/224 243/242 325/324 385/384 | 13.2838 | 1.1773 | 17.0122 |
| Tritikleismic | 3 0 3 10 8 0 0 6 5 -2 3 14 |
325/324 364/363 441/440 625/624 | 13.4940 | .8133 | 15.6523 | |
| Benediction | 1 1 3 3 2 7 0 6 -7 -2 15 -34 |
(P8, P5/6) |
225/224 243/242 351/350 441/440 | 13.5241 | 1.0143 | 15.7152 |
| Catakleismic | 1 0 1 -3 9 0 0 6 5 22 -21 14 |
(P8, P12/6) |
169/168 225/224 325/324 385/384 | 13.9069 | 1.1908 | 16.8832 |
| Qilin | 1 2 3 4 6 5 0 -8 -13 -23 -49 -25 |
(P8, P4/8) |
126/125 176/175 196/195 2200/2197 | 14.1642 | 1.6395 | 22.8419 |
| Harry | 2 4 7 7 9 11 0 -6 -17 -10 -15 -26 |
(P8/2, P4/6) |
243/242 351/350 441/440 676/675 | 14.6430 | .7511 | 13.0465 |
| Semimiracle | 2 2 6 6 4 7 0 6 -7 -2 15 2 |
(P8/2, P5/6) |
169/168 225/224 243/242 385/384 | 14.7014 | 1.3334 | 24.6222 |
| Catalytic | 1 0 1 -3 -10 0 0 6 5 22 51 14 |
(P8, P12/6) |
169/168 225/224 325/324 1716/1715 | 14.7423 | 1.3244 | 22.3368 |
| Octopus | 8 1 3 3 16 14 0 3 4 5 3 4 |
169/168 325/324 364/363 540/539 | 15.1423 | 1.1002 | 21.6786 | |
| Enneaportent | 9 0 28 11 24 19 0 2 -1 2 1 2 |
169/168 225/224 364/363 1716/1715 | 15.2328 | 1.3133 | 22.3223 | |
| Bikleismic | 2 0 2 -6 -1 0 0 6 5 22 15 14 |
169/168 225/224 243/242 325/324 | 15.6731 | 1.3198 | 21.8142 | |
| Hemithirds | 1 4 2 2 7 0 0 -15 2 5 -22 23 |
(P8, ccP4/15) |
196/195 352/351 1001/1000 1029/1024 | 15.6794 | 1.1293 | 21.7376 |
| Gizzard | 2 1 5 2 8 -2 0 6 -1 10 -3 26 |
225/224 325/324 385/384 1573/1568 | 15.7868 | .9255 | 20.2519 | |
| Coditone | 1 6 3 13 -3 2 0 -13 -2 -30 19 5 |
(P8, c4P4/13) |
225/224 351/350 385/384 847/845 | 16.1784 | 1.1526 | 24.3522 |
| Bison | 2 5 7 3 3 4 0 -7 -9 10 15 13 |
351/350 364/363 441/440 10985/10976 | 17.5050 | .7645 | 23.5039 | |
| Mirkat | 3 2 1 2 9 1 0 6 13 14 3 22 |
351/350 540/539 676/675 1375/1372 | 17.8357 | .6381 | 18.6316 | |
| Subfourth | 1 0 17 4 11 16 0 4 -37 -3 -19 -31 |
(P8, P12/4) |
352/351 364/363 540/539 676/675 | 18.4588 | .9671 | 23.7996 |
| Mintone | 1 5 9 7 12 11 0 -22 -43 -27 -55 -47 |
(P8, c3P4/22) |
243/242 351/350 441/440 1188/1183 | 18.5191 | .9414 | 21.8493 |
| Hemiseven | 1 4 14 2 -5 19 0 -6 -29 2 21 -38 |
(P8, ccP4/6) |
351/350 385/384 441/440 676/675 | 18.5600 | .8367 | 21.9005 |
| Quadritikleismic | 4 0 4 7 17 0 0 6 5 4 -3 14 |
325/324 385/384 625/624 1573/1568 | 18.6111 | .6278 | 18.7309 | |
| Sqrtphi | 1 12 11 16 17 28 0 -30 -25 -38 -39 -70 |
(P8, c10P4/30) |
325/324 364/363 625/624 1375/1372 | 18.9279 | .7746 | 20.0402 |
| Supers | 2 1 -12 2 -9 -2 0 3 23 5 22 13 |
352/351 540/539 729/728 1575/1573 | 19.8111 | .7880 | 21.6449 | |
| Kwai | 1 1 -17 -13 14 16 0 1 33 27 -18 -21 |
(P8, P5) AugTiyuPiyuFleDeyo |
352/351 540/539 729/728 1375/1372 | 19.8873 | .7677 | 24.5550 |
| Metakleismic | 1 0 1 -12 -5 0 0 6 5 56 32 14 |
(P8, P12/6) |
325/324 352/351 364/363 625/624 | 19.9476 | .8865 | 24.3714 |
| Catafourth | 1 13 17 13 32 9 0 -28 -36 -25 -70 -13 |
(P8, c11P4/28) |
243/242 351/350 441/440 10985/10976 | 20.2345 | .6664 | 21.6939 |
| Countercata | 1 0 1 11 -5 0 0 6 5 -31 32 14 |
(P8, P12/6) |
325/324 352/351 385/384 625/624 | 20.2925 | .8135 | 20.1564 |
| Ketchup | 2 3 4 6 7 8 0 4 15 -9 -2 -14 |
325/324 352/351 847/845 1331/1323 | 20.4870 | .8412 | 24.8236 | |
| Semihemi | 2 4 15 11 21 19 0 -2 -25 -13 -34 -28 |
(P8/2, P4/2) |
352/351 676/675 847/845 1716/1715 | 21.5338 | .5670 | 21.1879 |
| Grendel | 1 9 2 7 17 -5 0 -23 1 -13 -42 27 |
(P8, c7P4/23) |
352/351 540/539 625/624 1375/1372 | 21.8078 | .7473 | 24.8390 |
| Hemiwürschmidt | 1 -1 2 2 -3 10 0 16 2 5 40 -39 |
(P8, ccP5/16) |
243/242 351/350 441/440 3584/3575 | 22.1019 | .7291 | 23.0740 |
| Ekadash | 2 5 8 5 6 19 0 -6 -11 2 3 -38 |
385/384441/440 625/624 729/728 | 22.2725 | .5694 | 20.3814 | |
| Arch | 1 2 2 2 3 4 0 -18 14 35 20 -13 |
(P8, P4/18) |
364/363 441/440 676/675 3136/3125 | 23.8240 | .5728 | 19.5041 |
| Sesquart | 1 1 7 5 2 -2 0 4 -32 -15 10 39 |
(P8, P5/4) |
243/242 364/363 441/440 105644/105625 | 24.3209 | .6708 | 22.3961 |
| Ennealimnic | 9 1 1 12 -2 -33 0 2 3 2 5 10 |
243/242 364/363 441/440 625/624 | 24.3214 | .7265 | 23.2502 | |
| Subpental | 1 6 8 17 -6 16 0 -14 -18 -45 30 -39 |
(P8, c4P4/14) |
351/350 540/539 676/675 3136/3125 | 24.7013 | .6592 | 23.9401 |
| Widefourth | 1 16 8 -2 17 12 0 -33 -13 11 -31 -19 |
(P8, c14P4/33) |
385/384 441/440 625/624 847/845 | 24.7390 | .6202 | 21.6356 |
| Hemimist | 3 6 2 -4 11 8 0 -2 8 20 -1 5 |
(P8/3, P4/2) |
352/351 676/675 847/845 3025/3024 | 25.1580 | .5751 | 22.9233 |
| Quincy | 1 2 3 3 4 5 0 -30 -49 -14 -39 -94 |
(P8, P4/30) |
364/363 441/440 676/675 4375/4374 | 25.4024 | .5479 | 23.8618 |
| Decal | 10 10 -6 -7 -18 37 0 1 5 6 9 0 |
(P8/10, P5) |
441/440 729/728 1001/1000 4225/4224 | 26.0158 | .4227 | 23.9484 |
| Hemischis | 1 2 -1 8 -9 1 0 -2 16 -25 60 13 |
(P8, P4/2) |
351/350 540/539 676/675 40656/40625 | 26.2491 | .5658 | 20.8155 |
| Hemimaquila | 1 28 -7 30 19 34 0 -34 12 -35 -20 -39 |
(P8, c26P4/34) |
364/363 540/539 676/675 3584/3575 | 26.6197 | .5984 | 24.4449 |
| Septisuperfourth | 2 4 4 7 6 11 0 -9 7 -15 10 -39 |
540/539 729/728 4000/3993 21168/21125 | 27.1080 | .4537 | 22.8872 | |
| Pogo | 2 4 -2 7 0 11 0 -3 24 -5 25 -13 |
(P8/2, P4/3) |
540/539 729/728 4000/3993 10985/10976 | 27.6987 | .3280 | 17.5141 |
| Octoid | 8 1 3 3 16 -21 0 3 4 5 3 13 |
540/539 625/624 1375/1372 4000/3993 | 28.1048 | .3789 | 15.2738 | |
| Hemiennealimmal | 18 0 -1 22 48 -19 0 2 3 2 1 6 |
676/675 1001/1000 1716/1715 3025/3024 | 29.1857 | .2310 | 12.5045 | |
| Quanharuk | 1 0 15 12 -7 -15 0 5 -40 -29 33 59 |
(P8, P12/5) |
540/539 1375/1372 4096/4095 6656/6655 | 33.1711 | .3531 | 21.3919 |
| Hemiseptisix | 1 34 17 34 53 30 0 -53 -24 -51 -81 -43 |
540/539 625/624 1375/1372 2200/2197 | 33.4393 | .3824 | 21.1266 | |
| Tertiathirds | 1 48 5 76 107 76 0 -52 -3 -82 -116 -81 |
676/675 1716/1715 3025/3024 4225/4224 | 33.5315 | .2302 | 19.4943 | |
| 1 11 38 37 -1 26 0 -19 -72 -69 9 -45 |
(P8, c9P4/19) |
540/539 729/728 1375/1372 2200/2197 | 33.6103 | .3698 | 24.8815 | |
| 2 1 -5 2 -2 -2 0 9 40 15 37 39 |
540/539 729/728 1575/1573 2200/2197 | 34.4541 | .3541 | 20.1941 | ||
| Semihemiwürschmidt | 2 -2 4 4 15 -1 0 16 2 5 -25 26 |
(P8/2, c3P5/16) |
676/675 1001/1000 1716/1715 3136/3125 | 34.6430 | .3993 | 23.3876 |
| Abigail | 2 7 13 -1 1 -2 0 -11 -24 19 17 27 |
1716/1715 2080/2079 3025/3024 4096/4095 | 35.2653 | .1098 | 8.8558 | |
| Decoid | 10 0 47 36 98 37 0 2 -3 -1 -8 0 |
676/675 1001/1000 1716/1715 4225/4224 | 35.7438 | .2238 | 13.4746 | |
| Eagle | 2 4 9 8 12 13 0 -8 -42 -23 -49 -54 |
676/675 1001/1000 1716/1715 10648/10647 | 36.1768 | .2313 | 16.2821 | |
| Terture | 3 0 -18 -32 8 -21 0 4 21 34 2 27 |
676/675 1001/1000 3025/3024 10985/10976 | 36.3331 | .2325 | 18.6469 | |
| Hemigamera | 2 12 20 6 5 17 0 -23 -40 -1 5 -25 |
1716/1715 2080/2079 2200/2197 3025/3024 | 37.3448 | .2265 | 20.4161 | |
| Ponta | 1 1 7 -20 52 23 0 1 -8 39 -83 -33 |
(P8, P5) FoAugMiyi TriTriDimShe DimDimFre |
540/539 625/624 729/728 2200/2197 | 37.8845 | .3814 | 23.6158 |
| 1 27 54 35 6 124 0 -30 -61 -38 -3 -142 |
729/728 1001/1000 1716/1715 3025/3024 | 38.3738 | .2790 | 22.4115 | ||
| Avicenna | 3 2 8 16 9 8 0 8 -3 -22 4 9 |
676/675 1001/1000 3025/3024 4096/4095 | 38.6520 | .2333 | 15.5572 | |
| Deca | 10 4 9 2 18 37 0 5 6 11 7 0 |
1001/1000 3025/3024 4225/4224 4375/4374 | 39.1828 | .1817 | 16.8103 | |
| Unthirds | 1 29 33 25 25 99 0 -42 -47 -34 -33 -146 |
625/624 1575/1573 2080/2079 2401/2400 | 39.4548 | .2872 | 20.8877 |
Junk temperaments
Some of these contain the trivial commas Waquad, Yobi, Rubi, Loquad and Thutri, 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.
| Mapping | Pergen | Commas | Generator | Color Name | Comp | Error | Badness |
|---|---|---|---|---|---|---|---|
| 1 2 2 3 3 0 0 0 0 0 0 1 |
(P8, M3) | 4/3, 5/4, 8/7, 11/8 | 16/13 | Waquad (& Yobi & Rubi & Loquad) + tha
or Tha nowa (2.13 JI) |
.2702 | 336.2129 | 17.8545 |
| 1 2 2 3 0 4 0 0 0 0 1 0 |
(P8, P4) | 4/3, 5/4, 8/7, 16/13 | 11/8 | Waquad (& Yobi & Rubi & Thutri) + ila
or iLa nowa (2.11 JI) |
.2891 | 283.7695 | 17.6578 |
| 1 2 2 3 0 0 0 0 0 0 1 1 |
(P8, P4) | 4/3, 5/4, 8/7, 13/11 | 11/8 = 13/8 | Waquad (& Yobi & Rubi) & Tholutri
or Tholutri nowa |
.2891 | 287.8202 | 24.1056 |
| 2 3 5 6 7 0 0 0 0 0 0 1 |
(P8/2, ^1) | 9/8, 6/5, 8/7, 12/11 | 16/13 | Wabi (& Gutri & Rubi & Lu) + tha | .5405 | 108.8851 | 16.3368 |
| 2 3 5 6 0 7 0 0 0 0 1 0 |
(P8/2, ^1) | 9/8, 6/5, 8/7, 13/12 | 11/8 | Wabi (& Gutri & Rubi & Tho) + ila | .5781 | 130.7392 | 21.2974 |
| 1 0 1 1 2 2 0 1 1 1 1 1 |
(P8, P5) | 6/5, 7/6, 12/11, 13/12 | 3/2 = 5/4 = 7/4
= 11/8 = 13/8 |
Gutri & Zobi & Lu & Tho | .6309 | 149.7414 | 19.8124 |
| 1 0 2 1 2 2 0 1 0 1 1 1 |
(P8, P5) | 5/4, 7/6, 12/11, 13/12 | 3/2 = 7/4
= 11/8 = 13/8 |
(Yobi &) Zobi & Lu & Tho | .6309 | 145.2377 | 21.5971 |
| 1 0 2 1 3 2 0 1 0 1 0 1 |
(P8, P5) | 5/4, 7/6, 11/8, 13/12 | 3/2 = 7/4 = 13/8 | (Yobi &) Zobi (& Loquad) & Tho | .6309 | 135.7653 | 21.7806 |
| 1 0 1 3 2 2 0 1 1 0 1 1 |
(P8, P5) | 6/5, 8/7, 12/11, 13/12 | 3/2 = 5/4
= 11/8 = 13/8 |
Gutri (& Rubi) & Lu & Tho | .6309 | 118.9826 | 21.3636 |
| 1 0 1 3 2 1 0 1 1 0 1 2 |
(P8, P5) | 6/5, 8/7, 12/11, 18/13 | 3/2 = 5/4 = 11/8 | Gutri (& Rubi) & Lu & Thuquad | .6309 | 118.2399 | 24.7286 |
| 1 0 1 3 2 4 0 1 1 0 1 0 |
(P8, P5) | 6/5, 8/7, 12/11, 16/13 | 3/2 = 5/4 = 11/8 | Gutri (& Rubi) & Lu (& Thutri) | .6309 | 99.9329 | 21.2702 |
| 1 0 1 0 2 1 0 1 1 2 1 2 |
(P8, P5) | 6/5, 9/7, 12/11, 14/13 | 3/2 = 5/4 = 11/8 | Gutri & Rutri & Lu & Thuzo | .7124 | 120.1537 | 22.8145 |
| 2 3 5 0 7 7 0 0 0 1 0 0 |
(P8/2, ^1) | 9/8, 6/5, 12/11, 13/12 | 8/7 | Wabi (& Gutri & Lu & Tho) + za | .7124 | 112.9622 | 24.7317 |
| 3 5 7 8 10 0 0 0 0 0 0 1 |
(P8/3, ^1) | 32/27, 10/9, 7/6, 11/9 | 16/13 | Watri (& Yo & Zobi & Lotri) + tha | .8107 | 83.1978 | 22.0229 |
| 1 0 -1 1 0 2 0 1 2 1 2 1 |
(P8, P5) | 10/9, 7/6, 11/9, 13/12 | 3/2 = 7/4 = 13/8 | Yo & Zobi & Lotri & Tho | .8614 | 81.8009 | 18.7149 |
| 1 0 -1 1 2 2 0 1 2 1 1 1 |
(P8, P5) | 10/9, 7/6, 12/11, 13/12 | 3/2 = 7/4
= 11/8 = 13/8 |
Yo & Zobi & Lu & Tho | .8614 | 93.1286 | 21.7729 |
| 1 0 -1 3 2 2 0 1 2 0 1 1 |
(P8, P5) | 10/9, 8/7, 12/11, 13/12 | 3/2 = 11/8 = 13/8 | Yo (& Rubi) & Lu & Tho | .8614 | 76.3571 | 22.8403 |
| 2 3 0 1 2 7 0 0 1 1 1 0 |
(P8/2, ^1) | 9/8, 15/14, 11/10, 13/12 | 5/4 = 7/6 = 11/8 | Wabi & Ruyo & Logu (& Tho) | .8614 | 57.0733 | 19.3277 |
| 2 3 0 1 7 3 0 0 1 1 0 1 |
(P8/2, ^1) | 9/8, 15/14, 12/11, 14/13 | 5/4 = 7/6 = 13/12 | Wabi & Ruyo & Lu & Thuzo | .8614 | 61.7635 | 21.4961 |
| 2 3 0 1 7 7 0 0 1 1 0 0 |
(P8/2, ^1) | 9/8, 15/14, 12/11, 13/12 | 5/4 = 7/6 | Wabi & Ruyo (& Lu & Tho) | .8614 | 64.6390 | 22.8779 |
| 3 5 7 8 10 11 0 0 0 0 1 0 |
(P8/3, ^1) | 32/27, 10/9, 7/6, 13/12 | 11/9 | Watri (& Yo & Zobi & Lo) + ila | .8672 | 75.4782 | 22.2821 |
| 1 0 4 3 2 2 0 1 -1 0 1 1 |
(P8, P5) | 16/15, 8/7, 12/11, 13/12 | 3/2 = 8/5
= 11/8 = 13/8 |
Gubi & Rubi (& Lu) & Tho | 1.0616 | 72.2918 | 22.6134 |
| 1 0 4 3 2 4 0 1 -1 0 1 0 |
(P8, P5) | 16/15, 8/7, 12/11, 16/13 | 3/2 = 8/5 = 11/8 | Gubi (& Rubi) & Lu (& Thutri) | 1.0616 | 68.1560 | 21.3950 |
| 3 5 7 0 2 11 0 0 0 1 1 0 |
(P8/3, ^1) | 32/27, 10/9, 22/21, 13/12 | 8/7 = 12/11 | Watri (& Yo) & Loru (& Tho) | 1.0686 | 48.2352 | 24.6210 |
| 3 5 7 0 2 3 0 0 0 1 1 1 |
(P8/3, ^1) | 32/27, 10/9, 22/21, 14/13 | 8/7 = 12/11 | Watri & Yo & Loru & Thuzo | 1.0686 | 46.0898 | 24.1511 |
| 4 6 9 11 14 0 0 0 0 0 0 1 |
(P8/4, ^1) | 9/8, 25/24, 15/14, 12/11 | 16/13 | Wabi & Yoyo & Ruyo & Lu + tha | 1.0810 | 54.4751 | 21.7669 |
| 2 3 0 1 2 -2 0 0 1 1 1 2 |
(P8/2, ^1) | 9/8, 15/14, 11/10, 26/25 | 5/4 = 7/6 = 11/8 | Wabi & Ruyo & Logu & Thogugu | 1.0810 | 53.8146 | 21.8059 |
| 1 0 -1 -2 -3 2 0 1 2 3 4 1 |
(P8, P5) | 10/9, 15/14, 22/21, 13/12 | 3/2 = 13/8 | Yo & Ruyo & Loru & Tho | 1.1563 | 51.8815 | 22.1512 |
| 4 6 9 11 0 15 0 0 0 0 1 0 |
(P8/4, ^1) | 9/8, 25/24, 15/14, 14/13 | 11/8 | Wabi & Yoyo & Ruyo & Thuzo + ila | 1.1563 | 55.5099 | 24.5510 |
| 4 6 9 11 0 1 0 0 0 0 1 1 |
(P8/4, ^1) | 9/8, 25/24, 15/14, 55/52 | 11/8 | Wabi & Yoyo & Ruyo & Thuloyo + ila | 1.1563 | 41.3624 | 24.4943 |
| 1 0 4 3 2 7 0 1 -1 0 1 -2 |
(P8, P5) | 16/15, 8/7, 12/11, 26/25 | 3/2 = 8/5 = 11/8 | Gubi & Rubi & Lu & Thogugu | 1.1714 | 53.8501 | 22.8620 |
| 1 1 2 2 3 3 0 2 1 3 2 2 |
(P8, P5/2) | 25/24, 15/14, 12/11, 13/12 | 5/4 | Yoyo & Ruyo & Lu & Tho | 1.2619 | 55.5942 | 23.7686 |
| 1 1 2 2 3 3 0 2 1 3 2 3 |
(P8, P5/2) | 25/24, 15/14, 12/11, 14/13 | 5/4 | Yoyo & Ruyo & Lu & Thuzo | 1.2619 | 53.0408 | 23.1630 |
| 1 0 0 2 1 2 0 2 3 1 3 2 |
(P8, P4/2) | 27/25, 21/20, 11/10, 13/12 | 6/5 = 8/7 | Gugu & Zogu & Logu & Tho | 1.2920 | 43.2424 | 21.8817 |
| 1 0 0 2 2 3 0 2 3 1 2 1 |
(P8, P4/2) | 27/25, 21/20, 12/11, 14/13 | 6/5 = 8/7 | Gugu & Zogu & Lu & Thuzo | 1.2920 | 39.0609 | 21.8839 |
| 1 0 0 2 1 3 0 2 3 1 3 1 |
(P8, P4/2) | 27/25, 21/20, 11/10, 14/13 | 6/5 = 8/7 | Gugu & Zogu & Logu & Thuzo | 1.2920 | 42.8838 | 24.2613 |
| 1 0 4 6 5 7 0 1 -1 -2 -1 -2 |
(P8, P5) | 16/15, 21/20, 11/10, 14/13 | 3/2 = 8/5
= 16/11 |
Gubi & Zogu & Logu & Thuzo | 1.3433 | 43.8182 | 20.8537 |
| 1 0 4 6 5 2 0 1 -1 -2 -1 1 |
(P8, P5) | 16/15, 21/20, 11/10, 13/12 | 3/2 = 8/5
= 16/11 = 13/8 |
Gubi & Zogu & Logu & Tho | 1.3433 | 48.6247 | 23.3373 |
| 1 0 4 6 2 7 0 1 -1 -2 1 -2 |
(P8, P5) | 16/15, 21/20, 12/11, 14/13 | 3/2 = 8/5 = 11/8 | Gubi & Zogu & Lu & Thuzo | 1.3433 | 41.3652 | 22.5640 |
| 5 8 12 14 17 0 0 0 0 0 0 1 |
(P8/5, ^1) | 256/243, 16/15, 21/20, 11/10 | 16/13 | Sawa & Gubi & Zogu & Logu + tha | 1.3512 | 38.8900 | 22.4912 |
| 5 8 12 14 0 19 0 0 0 0 1 0 |
(P8/5, ^1) | 256/243, 16/15, 21/20, 14/13 | 11/8 | Sawa & Gubi & Zogu & Thuzo + ila | 1.4453 | 33.1105 | 21.4624 |
| 1 0 4 -2 2 -1 0 1 -1 3 1 3 |
(P8, P5) | 16/15, 28/27, 12/11, 14/13 | 3/2 = 8/5 = 11/8 | Gubi & Zo & Lu & Thuzo | 1.4993 | 37.8027 | 22.5820 |
| 1 0 4 -2 2 7 0 1 -1 3 1 -2 |
(P8, P5) | 16/15, 28/27, 12/11, 26/25 | 3/2 = 8/5 = 11/8 | Gubi & Zo & Lu & Thogugu | 1.6091 | 33.9540 | 24.0271 |
| 1 1 2 3 3 3 0 2 1 -1 1 2 |
(P8, P5/2) | 25/24, 21/20, 11/10, 13/12 | 5/4 = 21/16
= 11/8 |
Yoyo & Zogu & Logu & Tho | 1.6181 | 43.6565 | 23.8050 |