User:TallKite/Catalog of eleven-limit rank three temperaments with Color names

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The original version of this page is here: Catalog of eleven-limit rank three temperaments.

Below is a complete listing of all 223 11-limit rank-three temperaments with l-infinity complexity less than 3.5 and TE badness less than 0.001, obtained by the wedgie method. The TE error is multiplied by 1200 so that it can be thought of as cents, and the badness is multiplied by 100000. L-infinity complexity is defined as the maximum of the absolute values of the weighted wedgies. The temperaments are ordered by increasing l-infinity complexity, with ties broken by TE complexity. Some "Junk" temperaments of very low complexity are listed below the main list, which is ordered by increasing complexity. Because it's only a little bit beyond the cutoff, a bonus temperament is appended to the bottom of the list.

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, torsion is not allowed, exclude primes for downward inheritances, and double-odd-limit is minimized.

  • Color name column: the method for choosing commas is described here: Color Notation/Temperament names.
  • Pergen column: P stands for period, G1 and G2 stand for the generators.
  • N stands for notation. The notation for the 5/4, 7/4 and 11/8 intervals are listed. 2/1 is always a P8 and 3/2 is always a P5.
  • Commas column: ratios are grouped by prime limit with actual commas (","), and sorted within prime-limit by double odd limit.
  • Cm = 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

The final column is the wedgie, made invisible to make the table fit on the screen well. Eventually this column will be deleted.

Many temperaments list three commas. The comma not used in the color name is in parentheses. This comma usually came from the original page, which listed only the two lowest-odd-limit commas. It's listed here just as some extra info for the reader. If this comma is a lower odd limit, but was excluded to avoid torsion, it is bolded.

"is descending" comments need to be checked against the actual best tunings.

"+" commas: ya & (ya)za + la or ya & (ya)la + za or za & (za)la + ya

Name Color Name Pergen N Commas Mapping Cm Err Bad Wedgie
Ruyo & Loru (P8, P5, ^1) vM3
vM7
vA4
15/14, 22/21 (45/44) 1 0 0 -1 -2
0 1 0 1 2
0 0 1 1 1
.2717 43.8175 44.0762 [1 1 1 -1 -2 -1 -1 -2 -1 0]
Rubi & Lu + ya (P8, P5, ^1) vM3
P8
P5
8/7, 12/11 (22/21) 1 0 0 3 2
0 1 0 0 1
0 0 1 0 0
.2904 83.0967 57.3507 [1 0 0 0 -1 0 3 2 0 3]
Rubi & Logu (P8, P5, ^1) vM3
P8
vM3
8/7, 11/10
88/81 is descending
1 0 0 3 1
0 1 0 0 0
0 0 1 0 1
.2904 105.3406 81.0138 [1 0 1 0 0 0 3 1 -3 0]
Yo & Logu + za (P8, P5, ^1) M2
vm7
M2
10/9, 11/10 1 0 -1 0 0
0 1 2 0 2
0 0 0 1 0
.3068 105.1661 67.6871 [0 1 0 2 0 -2 1 0 0 2]
Yo & Lu + za (P8, P5, ^1) M2
vm7
P5
10/9, 12/11 1 0 -1 0 2
0 1 2 0 1
0 0 0 1 0
.3068 88.5062 66.3002 [0 1 0 2 0 -1 1 0 2 5]
2-edo & Logu + za (P8/2, ^1, /1)
P=P4=P5
vM3

\m7

vM3

9/8, 11/10 (45/44) 2 3 0 0 2
0 0 1 0 1
0 0 0 1 0
.3068 79.6258 71.5204 [0 0 0 2 0 -2 3 0 -3 2]
Yo & Loru (P8, P5, ^1) M2

vm7

v4

10/9, 22/21

33/32 is descending

1 0 -1 0 -1
0 1 2 0 1
0 0 0 1 1
.3068 63.7603 58.7546 [0 1 1 2 2 -1 1 1 -1 -1]
2-edo & Loru + ya (P8/2, ^1, /1)
P=P4=P5
vM3

\m7

\4=\5

9/8, 22/21 2 3 0 0 1
0 0 1 0 0
0 0 0 1 1
.3068 84.4888 87.1531 [0 0 0 2 2 0 3 3 0 1]
Rugu & Lu (P8, P5, ^1) vM3

^m7

P5

36/35, 12/11

64/63 is descending

1 0 0 2 2
0 1 0 2 1
0 0 1 -1 0
.3068 50.0945 59.0455 [1 -1 0 -2 -1 1 2 2 -2 -2]
Rugu & Logu (P8, P5, ^1) ^M3

vm7

^M3

36/35, 11/10

81/80 is descending

1 0 0 2 1
0 1 0 2 0
0 0 1 -1 1
.3068 54.6906 77.3832 [1 -1 1 -2 0 2 2 1 -3 -2]
Yo & Ruyo + ela (P8, P5, ^1) M2

M6

^4 or vA4

10/9, 15/14 (28/27) 1 0 -1 -2 0
0 1 2 3 0
0 0 0 0 1
.3089 77.1758 53.1617 [0 0 1 0 2 3 0 1 2 1]
Zogu & Luyo (P8, P5, ^1) vM3

vM6

vA4

21/20, 45/44

28/27 is descending

1 0 0 2 -2
0 1 0 -1 2
0 0 1 1 1
.3089 27.5109 50.9855 [1 1 1 1 -2 -3 2 -2 -4 2]
2-edo & Lu + yaza (P8/2, ^1, /1)

P=P4=P5

vM3

\m7

P5

9/8, 12/11 (33/32) 2 3 0 0 7
0 0 1 0 0
0 0 0 1 0
.3104 84.7436 79.0179 [0 0 0 2 0 0 3 0 0 7]
Gubi & Rubi + la (P8, P5, ^1) P4

P8

^4 or vA4

16/15, 8/7 (15/14) 1 0 4 3 0
0 1 -1 0 0
0 0 0 0 1
.3142 81.8009 52.2836 [0 0 1 0 -1 0 0 -4 -3 3]
Gubi & Zobi + la (P8, P5, ^1) P4

P5

^4 or vA4

16/15, 7/6 1 0 4 1 0
0 1 -1 1 0
0 0 0 0 1
.3142 119.6435 80.3974 [0 0 1 0 -1 1 0 -4 -1 5]
3-edo & Yo + zala (P8/3, ^1, /1)

P=P4=M2

P4

vm7

/4 or \A4

32/27, 10/9 (16/15) 3 5 7 0 0
0 0 0 1 0
0 0 0 0 1
.3248 67.0022 68.9261 [0 0 0 0 0 3 0 0 5 7]
Yoyo & Ruyo + ela (P8, P5/2, ^1)

G1=vM3=^m3

vM3

vM7

/4 or \A4

25/24, 15/14 (36/35) 1 1 2 2 0
0 2 1 3 0
0 0 0 0 1
.3648 41.3167 49.3788 [0 0 2 0 1 3 0 -3 -1 4]
Ruyo & Luyoyobi (P8, P5, ^1) vM3

vM7

vvA5

15/14, 25/22 1 0 0 -1 -1
0 1 0 1 0
0 0 1 1 2
.3648 56.0266 69.4360 [1 1 2 -1 0 2 -1 -1 1 1]
Zogu & Luzoyo (P8, P5, ^1) vM3

vM6

vvA4

21/20, 35/33

28/27 is descending

1 0 0 2 2
0 1 0 -1 -2
0 0 1 1 2
.3648 38.3464 62.5395 [1 1 2 1 2 0 2 2 -2 -2]
Gugu & Zogu + ela (P8, P4/2, ^1)

G1=^M2=vm3

^M3

^M6

/4 or \A4

27/25, 21/20

81/80 is descending

1 0 0 2 0
0 2 3 1 0
0 0 0 0 1
.3735 30.7211 48.8879 [0 0 2 0 3 1 0 0 -4 -6]
Rugu & Loru (P8, P5, ^1) vM3

^m7

^4

36/35, 22/21

64/63 is descending

1 0 0 2 1
0 1 0 2 3
0 0 1 -1 -1
.3735 25.1648 47.2582 [1 -1 -1 -2 -3 1 2 1 1 4]
Zogu & Loyo (P8, P5, ^1) vM3

vM6

^4

21/20, 55/54

28/27 is descending

1 0 0 2 1
0 1 0 -1 3
0 0 1 1 -1
.3735 32.7617 71.2372 [1 1 -1 1 -3 -2 2 1 3 7]
Gubi & Lu + za (P8, P5, ^1) P4

vm7

P5

16/15, 12/11 1 0 4 0 2
0 1 -1 0 1
0 0 0 1 0
.3872 53.4683 60.8279 [0 1 0 -1 0 -1 -4 0 2 -6]
Gubi & Logu + za (P8, P5, ^1) P4

vm7

P4

16/15, 11/10 1 0 4 0 5
0 1 -1 0 -1
0 0 0 1 0
.3872 61.5910 75.4917 [0 1 0 -1 0 1 -4 0 5 -1]
Gubi & Loru (P8, P5, ^1) P4

^m7

^4

16/15, 22/21

64/63 is descending

1 0 4 0 -1
0 1 -1 0 1
0 0 0 1 1
.3872 35.7359 53.9277 [0 1 1 -1 -1 -1 -4 -4 -1 -3]
Gubi & Luzoyo (P8, P5, ^1) P4

vm7

vm6

16/15, 35/33 1 0 4 0 4
0 1 -1 0 -2
0 0 0 1 1
.3872 44.8901 91.2891 [0 1 1 -1 -1 2 -4 -4 4 4]
Gubi & Zogu + ila (P8, P5, ^1) P4

m7

^4 or vA4

16/15, 21/20 1 0 4 6 0
0 1 -1 -2 0
0 0 0 0 1
.3898 47.9809 60.4621 [0 0 1 0 -1 -2 0 -4 -6 -2]
Rugu & Luruyo (P8, P5, ^1) vM3

^m7

vvA4

36/35, 80/77

64/63 is descending

1 0 0 2 2
0 1 0 2 -2
0 0 1 -1 2
.3898 17.1784 60.5148 [1 -1 2 -2 2 2 2 2 -6 -8]
Ruyo & Lo (P8, P5, ^1) vM3

vM7

P4

15/14, 33/32 1 0 0 -1 5
0 1 0 1 -1
0 0 1 1 0
.3927 41.2305 76.1035 [1 1 0 -1 1 1 -1 5 5 -4]
Zogu & Lo (P8, P5, ^1) vM3

vM6

P4

21/20, 33/32

28/27 is descending

1 0 0 2 5
0 1 0 -1 -1
0 0 1 1 0
.3927 26.8558 51.4500 [1 1 0 1 1 1 2 5 5 3]
Rugu & Luzogu (P8, P5, ^1) ^M3

vm7

vvd5

36/35, 56/55

81/80 is descending

1 0 0 2 5
0 1 0 2 2
0 0 1 -1 -2
.3927 14.5224 45.3449 [1 -1 -2 -2 -2 -2 2 5 -1 -6]
Yo & Luyoyo + za (P8, P5, ^1) M2

vm7

M3

10/9, 25/22 1 0 -1 0 -3
0 1 2 0 4
0 0 0 1 0
.4119 70.2385 94.8230 [0 1 0 2 0 -4 1 0 -3 -2]
Ruyo & Loyo (P8, P5, ^1) vM3

vM7

^4

15/14, 55/54 1 0 0 -1 1
0 1 0 1 3
0 0 1 1 -1
.4119 42.1649 90.8880 [1 1 -1 -1 -3 -4 -1 1 0 -4]
Nickel Rugu & Luyo (P8, P5, ^1) vM3

^m7

vA4

36/35, 45/44

64/63 is descending

1 0 0 2 -2
0 1 0 2 2
0 0 1 -1 1
.4119 16.2736 46.3463 [1 -1 1 -2 -2 4 2 -2 0 8]
2-edo & Rugu + ila (P8/2, ^1, /1)

P=P4=P5

vM3

^m6

/4 or \A4

9/8, 35/32 2 3 0 10 0
0 0 1 -1 0
0 0 0 0 1
.4435 66.0899 96.8506 [0 0 0 0 2 -2 0 3 -3 -10]
Gubi & Zo + ila (P8, P5, ^1) P4

M6

/4 or \A4

16/15, 28/27 1 0 4 -2 0
0 1 -1 3 0
0 0 0 0 1
.4435 32.4373 57.0267 [0 0 1 0 -1 3 0 -4 2 10]
Zogugu & Logu (P8, P5, ^1) ^M3

^^A5

^M3

28/25, 11/10

81/80 is descending

1 0 0 -2 1
0 1 0 0 0
0 0 1 2 1
.4495 62.5009 99.1195 [1 2 1 0 0 0 -2 1 4 0]
Yoyo & Lu + za (P8, P5/2, /1)

G1=^m3=vM3

vM3

\m7

P5

25/24, 12/11 1 1 2 0 3
0 2 1 0 2
0 0 0 1 0
.4495 61.6555 98.2109 [0 2 0 1 0 -2 -3 0 4 -1]
Yoyo & Luzogu (P8, P5/2, /1)

G1=^m3=vM3

vM3

\m7

v\5

25/24, 35/33 1 1 2 0 1
0 2 1 0 -1
0 0 0 1 1
.4495 27.9936 66.4342 [0 2 2 1 1 1 -3 -3 3 3]
Yoyo & Loru (P8, P5/2, /1)

G1=^m3=vM3

vM3

\m7

\4

25/24, 22/21

33/32 is descending

1 1 2 0 0
0 2 1 0 2
0 0 0 1 1
.4495 29.5286 73.7905 [0 2 2 1 1 -2 -3 -3 -2 -4]
Yoyo & Zogu + ila (P8, P5/2, /1)

G1=^m3=vM3

vM3

vM6

/4 or \A4

25/24, 21/20

28/27 is descending

1 1 2 3 0
0 2 1 -1 0
0 0 0 0 1
.4548 37.4636 68.4368 [0 0 2 0 1 -1 0 -3 -7 -5]
Zo & Luzoyo (P8, P5, ^1) vM3

M6

vA4

28/27, 35/33 1 0 0 -2 -2
0 1 0 3 2
0 0 1 0 1
.4602 27.4034 62.6577 [1 0 1 -3 -2 3 -2 -2 2 2]
Zo & Loyo (P8, P5, ^1) vM3

M6

^4

28/27, 55/54 1 0 0 -2 1
0 1 0 3 3
0 0 1 0 -1
.4602 15.2400 51.8170 [1 0 -1 -3 -3 -3 -2 1 -2 -9]
Ruyoyobi & Loru (P8, P5, ^1) vM3

vvM7

vvA4

200/189, 22/21 (100/99) 1 0 0 3 2
0 1 0 -3 -2
0 0 1 2 2
.4602 24.6229 94.3141 [1 2 2 3 2 -2 3 2 -2 0]
Potassium Ruyoyo & Luyo (P8, P5, ^1) vM3

vvA6

vA4

225/224, 45/44 (56/55) 1 0 0 -5 -2
0 1 0 2 2
0 0 1 2 1
.4840 12.2748 46.3665 [1 2 1 -2 -2 -2 -5 -2 1 -6]
Gu & Zogu + ila (P8, P5, ^1) M3

M6

^4 or vA4

81/80, 21/20 (28/27) 1 0 -4 -2 0
0 1 4 3 0
0 0 0 0 1
.4980 32.9593 68.8128 [0 0 1 0 4 3 0 4 2 -4]
Zo & Loru + ya (P8, P5, ^1) vM3

M6

M3

28/27, 22/21 1 0 0 -2 -3
0 1 0 3 4
0 0 1 0 0
.4980 27.3138 71.6409 [1 0 0 -3 -4 0 -2 -3 0 1]
Yoyo & Luyo + za (P8, P5/2, /1)

G1=vM3=^m3

vM3

\m7

vA4

25/24, 45/44 1 1 2 0 2
0 2 1 0 5
0 0 0 1 0
.5148 17.7749 53.8118 [0 2 0 1 0 -5 -3 0 -1 -8]
Gubi & Lozogugu (P8, P5, ^1) P4

vm7

^5

16/15, 77/75

12/11 is descending

1 0 4 0 8
0 1 -1 0 -1
0 0 0 1 -1
.5197 32.5512 94.8153 [0 1 -1 -1 1 1 -4 4 8 -4]
Rugu & Lo (P8, P5, ^1) vM3

^m7

P4

36/35, 33/32

64/63 is descending

1 0 0 2 5
0 1 0 2 -1
0 0 1 -1 0
.5321 19.3501 71.2951 [1 -1 0 -2 1 -1 2 5 -5 -12]
Zozo & Loru + ya (P8, P4/2, ^1)

G1=/M2=\m3

vM3

\m7

\4

49/48, 22/21

33/32 is descending

1 0 0 2 1
0 2 0 1 3
0 0 1 0 0
.5435 32.2636 93.7221 [2 0 0 -1 -3 0 4 2 0 5]
Ruruyo & Loru (P8, P5, ^1) ^^m3

^m7

^4

160/147, 22/21 (80/77)

64/63 is descending

1 0 1 3 2
0 1 1 0 1
0 0 -2 -1 -1
.5435 27.7409 91.3645 [2 1 1 1 -1 -1 5 3 -1 4]
Biruyo & Loru (P8/2, P5, ^1)

P=v/A4=^\d5

vM3

\m7

\4

50/49, 22/21

33/32 is descending

2 0 0 1 -1
0 1 0 0 1
0 0 1 1 1
.5435 24.0842 81.3038 [2 2 2 0 -2 -2 1 -1 -2 1]
Zozo & Luyo (P8, P4/2, ^1)

G1=/M2=\m3

vM3

\m7

vA4

49/48, 45/44 1 0 0 2 -2
0 2 0 1 4
0 0 1 0 1
.5435 11.7293 70.7140 [2 0 2 -1 -4 1 4 -4 -4 10]
Festival Biruyo & Luyo (P8/2, P5, ^1)

P=v/A4=^\d5

vM3

\m7

vA4

50/49, 45/44 2 0 0 1 -4
0 1 0 0 2
0 0 1 1 1
.5435 10.9031 68.8510 [2 2 2 0 -4 -4 1 -4 -5 2]
Rugu & Lozogugu (P8, P5, ^1) vM3

^m7

v3A3

36/35, 77/75

[14 -11 0 0 1] is descending

1 0 0 2 -2
0 1 0 2 -1
0 0 1 -1 3
.5471 16.8946 72.8832 [1 -1 3 -2 1 5 2 -2 -4 2]
Biruyo & Luzogu (P8/2, P5, ^1)

P=v/A4=^\d5

vM3

\m7

v/A4

50/49, 56/55 2 0 0 1 7
0 1 0 0 0
0 0 1 1 0
.5498 14.9952 71.6658 [2 2 0 0 0 0 1 7 7 0]
Zo & Lo + ya (P8, P5, ^1) vM3

M6

P4

28/27, 33/32 1 0 0 -2 5
0 1 0 3 -1
0 0 1 0 0
.5765 26.5674 97.9192 [1 0 0 -3 1 0 -2 5 0 -13]
Ru & Loru + ya (P8, P5, ^1) vM3

m7

P4

64/63, 22/21 (33/32) 1 0 0 6 5
0 1 0 -2 -1
0 0 1 0 0
.5807 25.0942 76.1619 [1 0 0 2 1 0 6 5 0 4]
Ru & Luyo (P8, P5, ^1) vM3

m7

vA4

64/63, 45/44 1 0 0 6 -2
0 1 0 -2 2
0 0 1 0 1
.5807 15.8529 69.2524 [1 0 1 2 -2 -2 6 -2 -6 8]
Ruruyo & Luyo (P8, P5, ^1) vvd4

vm7

vvd5

405/392, 45/44 (99/98) 1 0 1 -1 -1
0 1 0 2 2
0 0 2 1 2
.6136 10.3725 70.1406 [2 1 2 -4 -4 2 -3 -4 1 2]
Rugu & Lologu (P8, P5, ^1) ^^m3

vvM7

^4

36/35, 121/120 1 0 1 1 2
0 1 -3 5 -1
0 0 2 -2 1
.6136 13.8878 95.6268 [2 -2 1 -4 -1 3 4 3 -5 -4]
Gu & Luzogu (P8, P5, ^1) M3

vm7

vd5

81/80, 56/55 1 0 -4 0 7
0 1 4 0 -4
0 0 0 1 1
.6136 9.0535 77.3333 [0 1 1 4 4 4 4 4 7 12]
Yoyo & Zo + ila (P8, P5/2, /1)

G1=vM3=^m3

vM3

M6

/4 or \A4

25/24, 28/27 1 1 2 1 0
0 2 1 6 0
0 0 0 0 1
.6178 22.5598 91.5463 [0 0 2 0 1 6 0 -3 4 11]
Zo & Lozogugu (P8, P5, ^1) vM3

M6

vvA4

28/27, 77/75 1 0 0 -2 2
0 1 0 3 -2
0 0 1 0 2
.6178 15.6923 73.5293 [1 0 2 -3 2 6 -2 2 4 -2]
Calliope Gu & Luyo + za (P8, P5, ^1) M3

vm7

A4

81/80, 45/44 1 0 -4 0 -6
0 1 4 0 6
0 0 0 1 0
.6178 9.9161 52.9778 [0 1 0 4 0 -6 4 0 -6 0]
Trigu & Rugu + ila (P8/3, P5, /1)

P=vM3=^^d4

vM3

^m7

/4 or \A4

128/125, 36/35

64/63 is descending

3 0 7 -1 0
0 1 0 2 0
0 0 0 0 1
.6208 13.3876 93.2419 [0 0 3 0 0 6 0 -7 1 14]
5-edo & Zo + yala (P8/5, ^1, /1)

P=M2=m3

vM3

m7

/4 or \A4

256/243, 28/27 (49/48) 5 8 0 14 0
0 0 1 0 0
0 0 0 0 1
.6284 15.2531 86.7696 [0 0 0 0 5 0 0 8 0 -14]
Yoyo & Lo + za (P8, P5/2, /1)

G1=vM3=^m3

vM3

\m7

P4

25/24, 33/32 1 1 2 0 4
0 2 1 0 -2
0 0 0 1 0
.6496 18.5114 76.0642 [0 2 0 1 0 2 -3 0 10 8]
Ruyoyo & Lo (P8, P5, ^1)

double-pair

/1=^^d2

vM3

vvA6=\m7

P4

225/224, 33/32 (77/75) 1 0 0 -5 5
0 1 0 2 -1
0 0 1 2 0
.6496 13.9794 89.8511 [1 2 0 -2 1 2 -5 5 10 -5]
Zozotrigu & Luzogu (P8, P5, /1)

double-pair

^1=\\A1

//m3=vM3

/3m6=v/M6

/4

392/375, 56/55 (77/75) 1 0 1 0 2
0 1 -3 -4 -1
0 0 2 3 1
.6742 11.3981 63.0772 [2 3 1 -1 -1 -1 -3 3 6 -3]
Thrasher Zotrigu & Luzogu (P8, P5, ^1)

double-pair

/1=^3d2

vM3

v3A6=\m7

vvA4

126/125, 56/55 (100/99) 1 0 0 -1 2
0 1 0 -2 -2
0 0 1 3 2
.6742 7.8710 48.0188 [1 3 2 2 2 2 -1 2 8 6]
Zotriyo & Loruyo (P8, P5, ^1)

double-pair

/1=v3A1

vM3

^3d7=\m7

^4

[-5 -3 3 1], 55/54 (176/175) 1 0 0 5 1
0 1 4 -9 -1
0 0 -1 3 1
.6742 7.3714 73.7802 [1 -3 -1 -3 -3 6 5 1 2 12]
Layobi & Lo + za (P8, P5, ^1) m3

vm7

P4

135/128, 33/32 (45/44) 1 0 7 0 5
0 1 -3 0 -1
0 0 0 1 0
.6775 14.8792 66.5467 [0 1 0 -3 0 1 -7 0 5 -8]
Trigu & Luzogu (P8/3, P5, /1)

P=vM3=^^d4

vM3

\m7

vv\A4

128/125, 56/55 3 0 7 0 2
0 1 0 0 0
0 0 0 1 1
.6775 7.6582 61.1766 [0 3 3 0 0 0 -7 -7 2 0]
Vulcan Ru & Luzogu (P8, P5, ^1) vM3

m7

^d5

64/63, 56/55 1 0 0 6 9
0 1 0 -2 -2
0 0 1 0 -1
.7069 8.3441 57.7113 [1 0 -1 2 2 2 6 9 6 6]
Gu & Rugu + ila (P8, P5, ^1) M3

m7

^4 or vA4

81/80, 36/35 (64/63) 1 0 -4 6 0
0 1 4 -2 0
0 0 0 0 1
.7095 13.3365 68.6272 [0 0 1 0 4 -2 0 4 -6 -16]
Gu & Lo + za (P8, P5, ^1) M3

vm7

P4

81/80, 33/32 (55/54) 1 0 -4 0 5
0 1 4 0 -1
0 0 0 1 0
.7095 12.7475 74.7541 [0 1 0 4 0 1 4 0 5 16]
Zotrigu & Loyo (P8, P5, ^1)

double-pair

/1=^3d2

vM3

v3A6=\m7

^4

126/125, 55/54 (77/75) 1 0 0 -1 1
0 1 0 -2 3
0 0 1 3 -1
.7208 10.9922 74.9028 [1 3 -1 2 -3 -7 -1 1 2 -1]
Quadgu & Rugu + ila (P8/4, P5, /1)

P=^m3=v3A2

vM3

^m7

/4 or \A4

648/625, 36/35 (50/49)

64/63 is descending

4 0 3 5 0
0 1 1 1 0
0 0 0 0 1
.7295 13.9105 75.0000 [0 0 4 0 4 4 0 -3 -5 -2]
Yoyo & Zozo + ila (P8/2, P4/2, ?1)

P=v/A4=^\d5

G1=/M2=\m3

vM3

\m7

?4 or ?A4

25/24, 49/48

(the pergen is a true double,

it requires triple-pair notation)

2 0 3 4 0
0 2 1 1 0
0 0 0 0 1
.7295 17.4069 95.1181 [0 0 4 0 2 2 0 -6 -8 -1]
Zozo & Lozogugu (P8, P4/2, ^1)

G1=/M2=\m3

vM3

\m7

vv/A4

49/48, 77/75 1 0 0 2 -2
0 2 0 1 1
0 0 1 0 2
.7295 10.3791 78.0023 [2 0 4 -1 -1 2 4 -4 -8 4]
Jubilee Biruyo & Luyoyo (P8/2, P5, ^1)
P=v/A4=^\d5
vM3

\m7

vvA4

50/49, 100/99 2 0 0 1 4
0 1 0 0 -2
0 0 1 1 2
.7295 6.744 55.9842 [2 2 4 0 4 4 1 4 2 -2]
Zozo & Luyoyo (P8, P4/2, ^1)

G1=/M2=\m3

vM3

\m7

vvA4

49/48, 100/99 1 0 0 2 2
0 2 0 1 -4
0 0 1 0 2
.7295 8.1861 83.1498 [2 0 4 -1 4 2 4 4 -8 -10]
Minerva Ruyoyo & Loruru (P8, P5, ^1)

double-pair

/1=^^d2

vM3

vvA6=\m7

v4AA3=vv\A4

225/224, 99/98 (176/175) 1 0 0 -5 -9
0 1 0 2 2
0 0 1 2 4
.7295 3.3966 38.1064 [1 2 4 -2 -2 4 -5 -9 2 8]
Octagari Rurutriyo & Luyoyo (P8, P5, vm6/2)

G2=v/M3=^^\d4

vM3

\m7

vvA5

[5 -4 3 -2], 100/99 (245/242) 1 0 1 4 4
0 1 0 -2 -2
0 0 2 3 4
.7295 3.9366 53.8863 [2 3 4 4 4 -2 5 4 -4 -2]
Rugu & Lotriru (P8, P5, ^1)

double-pair

/1=v3m2

^M3

vm7

v3d5=/4

36/35, 352/343 [5 0 0 -3 1] 1 0 0 2 1
0 1 0 2 6
0 0 1 -1 -3
.7470 13.4568 97.8888 [1 -1 -3 -2 -6 0 2 1 5 10]
Zozo & Loyo (P8, P4/2, ^1)

G1=/M2=\m3

vM3

\m7

^4

49/48, 55/54 1 0 0 2 1
0 2 0 1 6
0 0 1 0 -1
.7470 8.9361 69.5462 [2 0 -2 -1 -6 -1 4 2 4 11]
Biruyo & Loyo (P8/2, P5, ^1)

P=v/A4=^\d5

vM3

\m7

^4

50/49, 55/54 2 0 0 1 2
0 1 0 0 3
0 0 1 1 -1
.7470 8.8462 78.0981 [2 2 -2 0 -6 -6 1 2 3 3]
Sonic Triyo & Loyo + za (P8, P4/3, /1)

G1=vM2=^^m2

vM3

\m7

v5

250/243, 55/54 (100/99) 1 2 3 0 4
0 -3 -5 0 -4
0 0 0 1 0
.7671 7.2317 52.3158 [0 3 0 5 0 -4 1 0 4 8]
Zozoyo & Loyo (P8, P5, /1)

double-pair

^1=\\m2

//A2=vM3

\m7

\\d5=^4

245/243, 55/54 (99/98) 1 1 -3 4 7
0 1 9 -2 -6
0 0 2 -1 -2
.7671 7.9259 74.5293 [2 -1 -2 -5 -6 -2 0 2 -1 -5]
Ares Ru & Luyoyo (P8, P5, ^1) vM3

m7

vvA4

64/63, 100/99 1 0 0 6 2
0 1 0 -2 -2
0 0 1 0 2
.7796 5.4401 46.8874 [1 0 2 2 2 -4 6 2 -12 -8]
Zozo & Lo + ya (P8, P4/2, ^1)

G1=/M2=\m3

vM3

\m7

P4

49/48, 33/32 1 0 0 2 5
0 2 0 1 -2
0 0 1 0 0
.7855 12.2757 80.3924 [2 0 0 -1 2 0 4 10 0 -9]
Selenium Zozo & Luzogu (P8, P4/2, ^1)

G1=/M2=\m3

vM3

\m7

^/4

49/48, 56/55 1 0 0 2 5
0 2 0 1 1
0 0 1 0 -1
.7855 9.9401 66.5377 [2 0 -2 -1 -1 -1 4 10 4 -3]
Trizo-agugu & Luzogu (P8, P5, ^1) v3A4

vvM7

^4

[1 -3 -2 3], 56/55 (540/539) 1 0 2 1 2
0 1 0 1 1
0 0 3 2 -1
.8152 7.6047 85.5847 [3 2 -1 -3 -3 -3 -1 8 5 -9]
Zotrigu & Luyo (P8, P5, ^1)

double-pair

/1=^3d2

vM3

v3A6=\m7

vA4

126/125, 45/44 1 0 0 -1 -2
0 1 0 -2 2
0 0 1 3 1
.8237 10.6683 90.4342 [1 3 1 2 -2 -8 -1 -2 -5 -6]
Ruyoyo & Loyo (P8, P5, ^1) vM3

vvA6

^4

225/224, 55/54 1 0 0 -5 1
0 1 0 2 3
0 0 1 2 -1
.8237 7.1312 82.8740 [1 2 -1 -2 -3 -8 -5 1 -3 -17]
Octarod Zozoyo & Luyoyo (P8, P5, ^1) ^^A2

vm7

245/243, 100/99 1 0 0 0 2
0 1 1 2 0
0 0 2 -1 4
.8237 3.5716 58.0664 [2 -1 4 -5 4 8 0 4 -2 -10]
Clio Gu & Lorugugu (P8, P5, ^1) M3

vm7

vA4

81/80, 176/175 1 0 -4 0 -12
0 1 4 0 8
0 0 0 1 1
.8237 4.4514 73.7590 [0 1 1 4 4 -8 4 4 -12 -16]
Sagugu & Ru + ila (P8/2, P5, /1)

P=vA4=^d4

vM3

m7

/4 or \A4

[11 -4 -2], (50/49) 64/63 2 0 11 12 0
0 1 -2 -2 0
0 0 0 0 1
.8640 7.2757 76.6974 [0 0 2 0 -4 -4 0 -11 -12 2]
Ru & Loyo (P8, P5, ^1) vM3

m7

^4

64/63, 55/54 1 0 0 6 1
0 1 0 -2 3
0 0 1 0 -1
.8869 8.0639 71.4777 [1 0 -1 2 -3 2 6 1 6 20]
Apollo Ruyoyo & Luyoyo (P8, P5, ^1) vM3

vvA6

vvA4

225/224, 100/99 1 0 0 -5 2
0 1 0 2 -2
0 0 1 2 2
.9095 3.7835 52.9766 [1 2 2 -2 2 8 -5 2 14 6]
Thrush Zotrigu & Lorugugu (P8, P5, ^1)

double-pair

/1=^3d2

vM3

v3A6=\m7

v5AA3=vv\A4

126/125, 176/175 1 0 0 -1 -5
0 1 0 -2 -2
0 0 1 3 5
.9119 2.5224 35.2591 [1 3 5 2 2 -4 -1 -5 -10 -8]
Guanyin Triru-agu & Lorugugu (P8, P5, /1)

double-pair

^1=\3m2

/3A2=vM3

\m7

/5AA2=v//A3

[6 3 -1 -3], 176/175 (540/539) 1 0 0 2 -2
0 1 0 1 1
0 0 3 -1 5
.9119 1.9063 41.1252 [3 -1 5 -3 -3 6 6 -6 -8 12]
Marvel Ruyoyo & Lozoyo (P8, P5, ^1) vM3

vvA6

^3d5

225/224, 385/384 1 0 0 -5 12
0 1 0 2 -1
0 0 1 2 -3
.9426 1.3620 25.5033 [1 2 -3 -2 1 -4 -5 12 9 -19]
Artemis Ruyoyo & Lologu (P8, P5, /1)

double-pair

^1=\\A1

//m3=vM3

/4m6=vvA6

/4

225/224, 121/120 1 0 1 -3 2
0 1 1 4 1
0 0 -2 -4 -1
.9679 2.8817 59.3777 [2 4 1 -4 -1 0 -10 3 11 -11]
Portent Latrizo & Lozoyo (P8, P5/3, ^1)

G1=/M2=\\m3

vM3

\m7

^/4

[-10 1 0 3], 385/384 (441/440) 1 1 0 3 5
0 3 0 -1 4
0 0 1 0 -1
.9679 .9057 23.4092 [3 0 -3 1 -4 1 10 11 10 17]
Euterpe Gu & Loruru (P8, P5, ^1) M3

vm7

vvd5

81/80, 99/98 1 0 -4 0 1
0 1 4 0 -2
0 0 0 1 2
.9959 4.3291 53.5809 [0 1 2 4 8 2 4 8 1 -4]
Terpsichore Gu & Lururuyo (P8, P5, ^1) M3

vm7

^^A3

81/80, [2 3 1 -2 -1] 1 0 -4 0 -2
0 1 4 0 7
0 0 0 1 -2
.9959 3.9009 85.0127 [0 1 -2 4 -8 -7 4 -8 -2 20]
Ru & Loruru + ya (P8, P5, ^1) vM3

m7

d5

64/63, 99/98 1 0 0 6 13
0 1 0 -2 -6
0 0 1 0 0
1.0211 6.2516 83.0916 [1 0 0 2 6 0 6 13 0 -10]
Prodigy 225/224 441/440 1 0 0 -5 -13
0 1 0 2 6
0 0 1 2 3
1.0211 1.5302 33.4475 [1 2 3 -2 -6 -6 -5 -13 -11 -4]
Erato 81/80 126/125 1 0 -4 -13 0
0 1 4 10 0
0 0 0 0 1
1.0297 3.9081 55.7521 [0 0 1 0 4 10 0 4 13 12]
Shrusus 176/175 245/243 1 0 0 0 -4
0 1 1 2 4
0 0 2 -1 3
1.0297 3.3811 87.6795 [2 -1 3 -5 -5 10 0 -8 4 20]
Mandos 176/175 243/242 1 1 0 6 2
0 2 0 5 5
0 0 1 -2 0
1.0297 2.5092 75.1090 [2 -4 0 -5 -5 10 7 -1 2 20]
Spectacle 225/224 243/242 1 1 0 -3 2
0 2 0 4 5
0 0 1 2 0
1.0297 1.4493 49.8669 [2 4 0 -4 -5 -10 -10 -1 -2 -23]
Supermagic 100/99 385/384 1 0 0 5 2
0 1 0 3 -2
0 0 1 -3 2
1.0394 3.8126 64.0789 [1 -3 2 -3 2 0 5 2 -16 -16]
Zeus 121/120 176/175 1 0 1 4 2
0 1 1 -1 1
0 0 -2 3 -1
1.0647 2.7047 39.9882 [2 -3 1 -1 -1 2 11 3 -10 4]
Varda 176/175 896/891 2 0 11 0 14
0 1 -2 0 -4
0 0 0 1 1
1.0647 2.1594 72.8125 [0 2 2 -4 -4 8 -11 -11 14 16]
49/48 121/120 1 0 1 2 2
0 2 0 1 1
0 0 2 0 1
1.0869 7.1739 98.9791 [4 0 2 -2 -2 1 8 6 -4 1]
Big Brother 99/98 121/120 1 0 3 1 3
0 1 3 2 2
0 0 -4 -1 -2
1.0869 3.6381 50.6556 [4 1 2 -5 -2 2 1 6 1 -7]
Aphrodite 121/120 441/440 1 0 1 3 2
0 1 1 0 1
0 0 -4 -3 -2
1.0869 2.8213 58.3255 [4 3 2 3 -2 -3 9 6 0 9]
50/49 176/175 2 0 0 1 -7
0 1 0 0 0
0 0 1 1 3
1.0943 7.0338 99.9287 [2 2 6 0 0 0 1 -7 -10 0]
99/98 126/125 1 0 0 -1 -1
0 1 0 -2 -6
0 0 1 3 6
1.0943 4.3558 75.4074 [1 3 6 2 6 6 -1 -1 3 4]
Aplonis 126/125 540/539 1 0 0 -1 4
0 1 0 -2 7
0 0 1 3 -5
1.1326 2.593 64.7511 [1 3 -5 2 -7 -11 -1 4 7 1]
Orwellian 99/98 385/384 1 0 0 2 5
0 1 0 1 0
0 0 3 -1 -2
1.1782 3.4646 71.5129 [3 -1 -2 -3 0 -2 6 15 -1 -15]
Urania 81/80 121/120 1 1 0 0 2
0 2 8 0 5
0 0 0 1 0
1.2273 4.4024 84.1955 [0 2 0 8 0 -5 8 0 -1 16]
Supernatural 225/224 245/243 1 0 2 -1 0
0 5 1 12 0
0 0 0 0 1
1.2356 3.0385 88.8164 [0 0 5 0 1 12 0 -10 5 25]
Fantastic 225/224 4375/4356 2 0 0 -10 -7
0 1 0 2 0
0 0 1 2 3
1.2356 1.4163 74.3439 [2 4 6 -4 0 12 -10 -7 16 14]
Jove 243/242 441/440 1 1 1 2 2
0 2 1 1 5
0 0 2 1 0
1.2449 .9641 24.1055 [4 2 0 -1 -10 -5 5 -2 -1 13]
540/539 896/891 1 0 2 -1 6
0 1 2 3 -1
0 0 -3 -1 -1
1.2860 1.5531 70.2401 [3 1 1 -7 5 4 -5 16 7 -29]
Starling 126/125 385/384 1 0 0 -1 8
0 1 0 -2 3
0 0 1 3 -4
1.2993 2.7865 67.6798 [1 3 -4 2 -3 -1 -1 8 20 13]
Pele 441/440 896/891 1 0 0 10 17
0 1 0 -6 -10
0 0 1 1 1
1.3353 1.5848 64.8199 [1 1 1 6 10 4 10 17 7 2]
Oxpecker 121/120 126/125 1 0 1 2 2
0 1 1 1 1
0 0 -2 -6 -1
1.3485 3.271 69.9452 [2 6 1 4 -1 -5 -2 3 10 5]
Manwe 176/175 1331/1323 1 0 0 12 8
0 1 0 3 3
0 0 1 -6 -4
1.3485 1.8526 67.9150 [1 -6 -4 -3 -3 6 12 8 0 12]
Indra 540/539 1375/1372 1 0 0 0 2
0 1 3 3 0
0 0 -5 -4 3
1.3586 .5759 26.6020 [5 4 -3 -3 -9 -9 0 10 8 -6]
Trimyna 441/440 3388/3375 1 4 0 0 5
0 -5 0 1 -8
0 0 1 1 1
1.3586 1.1448 59.1979 [5 5 5 1 -8 -9 4 -7 -11 5]
Uniwiz 385/384 9801/9800 2 1 0 7 8
0 2 0 3 -1
0 0 1 -1 0
1.3747 .7277 52.9190 [4 -4 0 -6 2 -2 11 17 -17 -31]
Polyhymnia 81/80 385/384 1 0 -4 0 11
0 1 4 0 -3
0 0 0 1 -1
1.4191 3.8757 89.3354 [0 1 -1 4 -4 3 4 -4 11 32]
Gamel 540/539 1029/1024 1 1 0 3 -1
0 3 0 -1 11
0 0 1 0 1
1.4191 1.477 85.2663 [3 0 3 1 -11 -1 10 -14 -10 32]
441/440 6144/6125 1 0 1 4 4
0 1 1 -1 -1
0 0 -2 3 8
1.4590 1.0764 82.5327 [2 -3 -8 -1 -6 5 11 16 20 25]
Belobog 441/440 3136/3125 1 0 0 -3 -9
0 1 0 0 2
0 0 2 5 8
1.4590 .7822 60.9402 [2 5 8 0 -4 -10 -6 -18 -21 -12]
Jupiter 540/539 5632/5625 1 0 1 4 -5
0 1 1 -1 6
0 0 -2 3 -8
1.4590 .6385 56.2368 [2 -3 8 -1 -4 10 11 -18 -17 31]
441/440 1728/1715 1 0 0 2 1
0 1 0 1 4
0 0 3 -1 -5
1.4939 2.2615 91.3484 [3 -1 -5 -3 -12 -1 6 3 9 21]
Varuna 441/440 8019/8000 2 0 0 9 12
0 1 0 -4 -6
0 0 1 2 3
1.4939 .6860 41.8714 [2 4 6 8 12 0 9 12 -3 -6]
Cuckoo 126/125 243/242 1 1 0 -3 2
0 2 0 -4 5
0 0 1 3 0
1.5445 2.3952 93.2762 [2 6 0 4 -5 -15 -2 -1 -3 -7]
Siebog 540/539 3136/3125 1 0 0 -3 8
0 1 0 0 3
0 0 2 5 -8
1.5445 1.0103 86.9834 [2 5 -8 0 -6 -15 -6 16 16 -18]
540/539 8019/8000 1 0 0 -2 6
0 2 0 9 -12
0 0 1 -1 3
1.5445 .6596 62.1100 [2 -2 6 -9 12 15 -4 12 0 -30]
Zelda 385/384 3388/3375 1 0 0 16 -9
0 1 0 -1 2
0 0 1 -5 4
1.5487 1.0511 64.1882 [1 -5 4 1 -2 6 16 -9 -19 23]
Sensamagic 245/243 385/384 1 0 0 0 7
0 1 1 2 -2
0 0 2 -1 -1
1.5521 2.0103 72.2308 [2 -1 -1 -5 3 -4 0 14 -7 -35]
Mirwomo 243/242 385/384 1 1 0 6 2
0 2 0 -3 5
0 0 1 -1 0
1.5964 1.4479 64.0943 [2 -2 0 3 -5 5 15 -1 1 36]
Hades 540/539 4000/3993 2 1 0 2 3
0 3 0 5 -1
0 0 1 0 1
1.6304 .5290 36.1398 [6 0 6 -10 2 10 1 10 -1 -17]
History 441/440 4000/3993 1 2 0 0 1
0 -6 0 7 2
0 0 1 1 1
1.6304 .7456 60.3636 [6 6 6 7 2 -5 14 10 -4 7]
176/175 1375/1372 1 0 0 -3 -7
0 1 0 0 0
0 0 2 5 9
1.6414 1.9242 85.8928 [2 5 9 0 0 0 -6 -14 -8 0]
441/440 4375/4356 3 0 0 4 -1
0 1 0 -2 -2
0 0 1 2 3
1.6414 1.0220 65.8896 [3 6 9 6 6 -6 4 -1 -14 -10]
540/539 4375/4356 1 0 3 0 5
0 1 4 0 7
0 0 -5 2 -9
1.6414 .9601 71.4389 [5 -2 9 -8 1 14 6 -2 -10 2]
Tritiwiz 385/384 4000/3993 1 2 0 8 1
0 -3 0 -4 1
0 0 1 -2 1
1.6891 1.0147 73.1524 [3 -6 3 -4 1 2 16 5 -26 -12]
Sensawer 245/243 441/440 1 0 0 0 -3
0 1 1 2 5
0 0 2 -1 -4
1.7429 2.1121 79.6323 [2 -1 -4 -5 -14 -3 0 -6 3 15]
540/539 2200/2187 1 0 1 4 -5
0 1 0 -2 7
0 0 2 3 -4
1.7429 1.5844 99.7253 [2 3 -4 4 -14 -13 5 -6 1 23]
Agni 385/384 1375/1372 1 1 1 2 5
0 2 1 1 0
0 0 2 1 -3
1.8066 .7996 49.3790 [4 2 -6 -1 -3 -3 5 23 19 -2]
441/440 35937/35840 1 0 4 7 7
0 1 1 -1 -1
0 0 -5 -4 -3
1.839 .7999 92.1150 [5 4 3 9 8 1 19 23 7 11]
225/224 6250/6237 1 0 0 -5 6
0 1 0 2 -6
0 0 1 2 3
1.8534 1.3606 97.0836 [1 2 3 -2 6 18 -5 6 27 18]
Laka 540/539 5120/5103 1 0 0 10 -18
0 1 0 -6 15
0 0 1 1 -1
1.8674 .7864 82.5317 [1 1 -1 6 -15 -9 10 -18 -8 42]
540/539 15488/15435 1 0 3 2 1
0 1 3 1 4
0 0 -7 -1 -5
1.9021 .7590 68.0748 [7 1 5 -4 -13 1 11 -8 -9 25]
441/440 41503/41472 1 0 3 3 0
0 1 0 0 2
0 0 -7 -2 3
1.9021 .6757 71.0624 [7 2 -3 0 -14 -4 15 9 9 30]
540/539 35937/35840 1 0 2 0 4
0 1 1 2 0
0 0 -7 -2 -3
1.9021 .7369 93.3786 [7 2 3 -12 3 6 -4 22 8 -36]
540/539 180224/180075 1 0 4 2 2
0 1 2 0 5
0 0 -6 1 -8
1.9512 .5304 93.9255 [6 -1 8 -2 -14 5 16 -20 -18 44]
540/539 4375/4374 1 0 0 1 0
0 1 0 7 -11
0 0 1 -4 9
1.9564 .5819 54.7571 [1 -4 9 -7 11 19 1 0 -9 -11]
225/224 1029/1024 1 1 3 3 0
0 6 -7 -2 0
0 0 0 0 1
1.9637 1.4564 91.6233 [0 0 6 0 -7 -2 0 -25 -20 15]
441/440 4375/4374 1 0 0 1 -1
0 1 0 7 16
0 0 1 -4 -9
1.9919 .7232 63.8774 [1 -4 -9 -7 -16 1 1 -1 13 23]
3025/3024 12005/11979 1 0 4 -4 -4
0 1 1 1 1
0 0 -5 8 9
1.9943 .4230 73.0837 [5 -8 -9 -13 -14 -1 12 16 -4 -8]
385/384 1331/1323 1 0 2 3 2
0 1 0 0 1
0 0 5 -3 -2
2.0326 1.2455 92.5578 [5 -3 -2 0 -5 3 21 14 0 21]
Loki 5632/5625 9801/9800 2 0 0 -21 -18
0 1 0 4 2
0 0 1 3 4
2.0593 .2214 49.2550 [2 6 8 -8 -4 20 -21 -18 30 30]
385/384 4375/4374 1 0 0 1 6
0 1 0 7 -6
0 0 1 -4 3
2.1286 .7834 72.0974 [1 -4 3 -7 6 -3 1 6 -27 -48]
3025/3024 6144/6125 1 0 1 4 3
0 1 1 -1 0
0 0 -4 6 7
2.1294 .6347 86.6272 [4 -6 -7 -2 -7 7 22 19 10 29]
Thor 3025/3024 4375/4374 2 0 0 2 5
0 1 0 7 5
0 0 1 -4 -3
2.1477 .7550e-1 8.8834 [2 -8 -6 -14 -10 -2 2 5 -14 -25]
Freya 2401/2400 3025/3024 1 1 3 3 2
0 2 3 2 1
0 0 -4 -2 3
2.1738 .1188 16.9702 [8 4 -6 -2 -13 -8 10 21 18 11]
1375/1372 6250/6237 4 0 0 -1 5
0 1 0 -1 -3
0 0 1 2 3
2.1886 .4778 62.4910 [4 8 12 4 12 12 -1 5 13 8]
Baldur 2401/2400 9801/9800 2 0 1 3 7
0 2 1 1 -2
0 0 2 1 3
2.1886 .8630e-1 16.6115 [8 4 12 -2 14 10 10 22 -4 -23]
540/539 16384/16335 1 0 2 -1 6
0 1 1 3 -2
0 0 -4 -3 2
2.1993 .6358 92.5123 [4 3 -2 -9 6 0 -10 28 16 -48]
Triglav 3025/3024 3136/3125 1 0 2 2 1
0 1 2 5 2
0 0 -4 -10 -1
2.2474 .8261 81.8957 [4 10 1 0 -6 -15 -12 2 8 -18]
Ganesha 3025/3024 5632/5625 1 0 0 -22 -9
0 1 0 1 2
0 0 1 10 4
2.2474 .2621 39.0462 [1 10 4 -1 -2 -16 -22 -9 -2 -35]
3025/3024 8019/8000 1 0 0 8 6
0 1 0 -15 -6
0 0 1 8 3
2.3012 .4554 69.7629 [1 8 3 15 6 3 8 6 24 42]
385/384 2200/2187 1 0 0 10 -3
0 1 0 -6 7
0 0 1 1 -2
2.306 1.2508 99.8038 [1 1 -2 6 -7 5 10 -3 17 52]
Enlil 385/384 6250/6237 1 0 1 0 6
0 6 5 0 1
0 0 0 1 -1
2.3387 .7883 79.8062 [0 6 -6 5 -5 -1 -6 6 36 29]
3025/3024 5120/5103 1 0 0 10 7
0 1 1 -5 -2
0 0 2 2 -1
2.3947 .5707 99.4265 [2 2 -1 12 3 9 20 14 24 54]
540/539 151263/151250 1 1 0 1 3
0 3 1 2 6
0 0 3 2 -1
2.4455 .5733 93.2918 [9 6 -3 -4 -19 -14 5 8 7 7]
441/440 10976/10935 1 0 2 -1 -7
0 1 2 3 6
0 0 -3 -1 1
2.4899 .9013 93.6428 [3 1 -1 -7 -20 -9 -5 -19 -8 11]
385/384 14641/14580 1 0 2 4 1
0 1 2 -3 2
0 0 -4 5 -1
2.5166 .7811 94.6715 [4 -5 1 2 -6 7 26 2 -9 40]
3025/3024 24057/24010 1 0 4 -2 -3
0 1 6 -1 -5
0 0 -7 4 9
2.6080 .3040 76.7250 [7 -4 -9 -17 -19 -11 2 15 -6 -31]
4375/4374 41503/41472 1 0 0 1 3
0 2 0 14 -17
0 0 1 -4 6
2.6164 .1193 43.7207 [2 -8 12 -14 17 16 2 6 -36 -59]
3025/3024 19712/19683 1 0 1 -6 -2
0 1 0 5 4
0 0 3 2 -2
2.6607 .2132 52.9851 [3 2 -2 -15 -12 -18 -20 -4 -16 -60]
Hanuman 3025/3024 4000/3993 1 2 0 -8 1
0 -3 0 11 1
0 0 1 4 1
2.6969 .3747 49.9646 [3 12 3 11 1 -7 -2 5 22 19]
Tyr 3025/3024 102487/102400 3 0 0 4 8
0 2 0 -4 1
0 0 1 2 0
2.6969 .1103 25.8734 [6 12 0 12 -3 -6 8 16 32 36]
540/539 12005/11979 1 0 2 1 2
0 2 4 3 4
0 0 -5 -1 -3
2.7173 .7193 88.5912 [10 2 6 -11 -8 5 6 8 -2 -4]
9801/9800 41503/41472 2 0 1 2 6
0 1 4 0 2
0 0 -5 2 -3
2.7173 .1214 36.7922 [10 -4 6 -16 4 8 12 27 -18 -48]
Snape 441/440 19683/19600 1 0 0 -2 -7
0 2 0 9 22
0 0 1 -1 -3
2.7389 .8179 98.7561 [2 -2 -6 -9 -22 -5 -4 -14 2 19]
3025/3024 117649/117612 1 0 3 0 -1
0 2 3 2 1
0 0 -5 2 6
2.8633 .9460e-1 36.7197 [10 -4 -12 -16 -23 -10 12 26 4 -14]
9801/9800 32805/32768 2 0 30 0 33
0 1 -8 0 -10
0 0 0 1 1
2.9037 .1490 60.9287 [0 2 2 -16 -16 20 -30 -30 33 36]
Zisa 2401/2400 5632/5625 1 1 1 2 -3
0 2 1 1 8
0 0 2 1 8
2.9181 .2331 63.9797 [4 2 16 -1 -8 0 5 -36 -38 19]
3025/3024 2460375/2458624 1 0 6 2 -3
0 1 1 3 2
0 0 -8 -6 5
2.9268 .1021 51.7013 [8 6 -5 -18 -21 -27 -20 6 -8 -66]
2401/2400 496125/495616 1 3 0 2 2
0 -4 0 -1 -9
0 0 2 1 4
2.9848 .1453 63.6457 [8 4 16 -2 -18 -5 10 -38 -39 32]
540/539 43923/43904 1 0 8 3 4
0 1 5 3 2
0 0 -11 -4 -3
2.9890 .5290 95.1953 [11 4 3 -13 -7 1 1 20 7 -23]
9801/9800 234375/234256 2 0 0 -5 -2
0 1 1 3 2
0 0 4 3 7
3.089 .8510e-1 38.0141 [8 6 14 -18 -2 30 -20 -8 29 13]
3025/3024 65625/65536 1 0 0 16 10
0 1 0 -1 1
0 0 2 -10 -7
3.0973 .1659 50.4952 [2 -10 -7 2 -2 17 32 20 12 52]
3025/3024 180224/180075 1 0 3 2 0
0 1 6 -5 -7
0 0 -7 6 10
3.0973 .1354 48.9428 [7 -6 -10 -1 -11 8 32 30 20 46]
9801/9800 65625/65536 2 0 0 32 35
0 1 0 -1 -3
0 0 1 -5 -4
3.0973 .1683 97.1754 [2 -10 -8 2 6 -22 32 35 -47 -61]
9801/9800 131072/130977 2 0 1 10 14
0 1 0 -1 -3
0 0 3 -1 2
3.1419 .1072 49.8842 [6 -2 4 6 18 -10 31 40 -34 -53]
Skadi 3025/3024 703125/702464 1 0 5 8 1
0 1 1 3 2
0 0 -6 -14 -1
3.1464 .1085 34.8944 [6 14 1 -4 -11 -25 -22 1 6 -41]
3025/3024 422576/421875 1 0 6 8 0
0 1 3 5 1
0 0 -9 -14 2
3.1464 .2588 86.1212 [9 14 -2 -3 -15 -24 -12 12 16 -24]
9801/9800 172032/171875 2 4 5 0 0
0 -7 -3 0 11
0 0 0 1 1
3.1464 .1160 63.8855 [0 14 14 6 6 22 -23 -23 44 55]
3025/3024 131072/130977 1 0 0 6 5
0 1 4 -1 -3
0 0 -5 -2 4
3.1485 .1287 50.8337 [5 2 -4 13 -1 10 30 25 34 71]
4000/3993 4375/4374 1 2 0 15 1
0 -3 0 -21 1
0 0 1 -4 1
3.2216 .3293 93.7162 [3 -12 3 -21 1 17 3 5 -23 -36]
2401/2400 4000/3993 1 5 1 3 1
0 -6 -1 -2 1
0 0 2 1 2
3.2607 .3652 85.4711 [12 6 12 -3 4 5 15 20 -5 -10]
2401/2400 42592/42525 1 1 3 3 3
0 2 3 2 6
0 0 -6 -3 -5
3.2607 .2783 93.2998 [12 6 10 -3 -21 -8 15 -15 -20 30]
2401/2400 46656/46585 1 1 1 2 3
0 6 1 2 11
0 0 2 1 -1
3.2607 .2861 96.2515 [12 6 -6 -3 -23 -13 15 19 17 24]
2401/2400 6250/6237 1 1 1 2 0
0 2 1 1 -4
0 0 2 1 9
3.2828 .4482 98.9025 [4 2 18 -1 17 13 5 -1 -23 -21]
Odin 9801/9800 151263/151250 6 0 0 8 17
0 1 0 -2 -4
0 0 1 2 3
3.2828 .2680e-1 11.6151 [6 12 18 12 24 12 8 17 10 2]
3025/3024 20614528/20588575 1 0 5 -4 -5
0 1 3 -3 -3
0 0 -9 14 16
3.2909 .1163 84.0573 [9 -14 -16 -15 -21 6 34 35 6 21]
Ennealimmic 2401/2400 4375/4374 9 1 1 12 0
0 2 3 2 0
0 0 0 0 1
3.3613 .8410e-1 27.4685 [0 0 18 0 27 18 0 1 -22 -34]
9801/9800 19712/19683 2 0 1 -10 -6
0 1 1 5 4
0 0 2 -1 1
3.3750 .2604 67.9993 [4 -2 2 -22 -14 18 -19 -13 16 5]
3025/3024 32805/32768 1 0 15 0 -13
0 1 -8 1 10
0 0 0 2 1
3.4146 .1555 62.9642 [0 2 1 -16 -8 -19 -30 -15 -26 -77]
9801/9800 1362944/1361367 2 0 1 16 20
0 1 0 -5 -7
0 0 2 3 5
3.4858 .1363 79.0703 [4 6 10 20 28 -8 29 35 -20 -28]
9801/9800 2097152/2096325 2 0 1 7 11
0 1 0 1 -1
0 0 4 -5 -1
3.5346 .5600e-1 42.2775 [8 -10 -2 -8 8 -12 33 45 -48 -78]

Junk temperaments

In the 1-edo temperaments, the P5 in the pergen is 16/11, not 3/2.

Color Name Commas Pergen Mapping Cmp Err Bad Wedgie
1-edo & Yobi + zala 4/3, 5/4 (P8, P5, ^1) 1 2 2 0 0     0 0 0 1 0     0 0 0 0 1 .1299 463.0192 33.2587 [0 0 0 0 0 1 0 0 2 2]
1-edo & Rubi + yala 4/3, 8/7 (P8, P5, ^1) 1 2 0 3 0     0 0 1 0 0     0 0 0 0 1 .1571 292.0871 38.8553 [0 0 0 0 1 0 0 2 0 -3]
1-edo & Zoguquad + ela 4/3, 7/5 (P8, P5, ^1) 1 2 0 0 0     0 0 1 1 0     0 0 0 0 1 .1571 356.8078 57.6999 [0 0 0 0 1 1 0 2 2 0]
Gutri & Zobi + ela 6/5, 7/6 (P8, P5, ^1) 1 0 1 1 0     0 1 1 1 0     0 0 0 0 1 .1824 230.1985 38.6702 [0 0 1 0 1 1 0 -1 -1 0]
Yobi & Zobi + ela 5/4, 7/6 (P8, P5, ^1) 1 0 2 1 0     0 1 0 1 0     0 0 0 0 1 .1824 194.9266 39.2470 [0 0 1 0 0 1 0 -2 -1 2]
1-edo & Loquad + yaza 4/3, 11/8 (P8, M2, ^1) 1 2 0 0 3     0 0 1 0 0     0 0 0 1 0 .1936 456.4800 89.1783 [0 0 0 1 0 0 2 0 0 3]
1-edo & Logu + za 4/3, 11/10 (P8, P5, ^1) 1 2 0 0 1     0 0 1 0 1     0 0 0 1 0 .1936 295.9322 68.7981 [0 0 0 1 0 -1 2 0 -2 1]
1-edo & Luzotri + ya 4/3, 14/11 (P8, M2, ^1) 1 2 0 0 1     0 0 1 0 0     0 0 0 1 1 .1936 288.2677 78.9700 [0 0 0 1 1 0 2 2 0 1]
Yobi & Rubi + ela 5/4, 8/7 (P8, P5, ^1) 1 0 2 3 0     0 1 0 0 0     0 0 0 0 1 .1949 258.4609 64.6586 [0 0 1 0 0 0 0 -2 -3 0]
Gutri & Rubi + ela 6/5, 8/7 (P8, P5, ^1) 1 0 1 3 0     0 1 1 0 0     0 0 0 0 1 .1949 156.0235 46.6409 [0 0 1 0 1 0 0 -1 -3 -3]
Gutri & Rutri + ela 6/5, 9/7 (P8, P5, ^1) 1 0 1 0 0     0 1 1 2 0     0 0 0 0 1 .2059 176.4346 49.5393 [0 0 1 0 1 2 0 -1 0 2]
2-edo & Gutri + zala 9/8, 6/5 (P8/2, ^1, /1) 2 3 5 0 0     0 0 0 1 0     0 0 0 0 1 .2217 155.7527 56.7316 [0 0 0 0 0 2 0 0 3 5]
Gutri & Logu + za 6/5, 11/10 (P8, P5, ^1) 1 0 1 0 2     0 1 1 0 1     0 0 0 1 0 .2247 149.6352 45.8711 [0 1 0 1 0 -1 -1 0 2 1]
Yobi & Lu + za 5/4, 12/11 (P8, P5, ^1) 1 0 2 0 2     0 1 0 0 1     0 0 0 1 0 .2247 208.8654 71.5375 [0 1 0 0 0 -1 -2 0 2 -2]
Yobi & Loquad + za 5/4, 11/8 (P8, P5, ^1) 1 0 2 0 3     0 1 0 0 0     0 0 0 1 0 .2247 206.4106 72.5890 [0 1 0 0 0 0 -2 0 3 0]
Gutri & Luzotri 6/5, 14/11 (P8, P5, ^1) 1 0 1 0 1     0 1 1 0 0     0 0 0 1 1 .2247 190.9402 79.7373 [0 1 1 1 1 0 -1 -1 1 1]
Gutri & Loru 6/5, 22/21 (P8, P5, ^1) 1 0 1 0 -1     0 1 1 0 1     0 0 0 1 1 .2247 154.7179 73.9600 [0 1 1 1 1 -1 -1 -1 -1 -2]
Yobi & Loru 5/4, 22/21 (P8, P5, ^1) 1 0 2 0 -1     0 1 0 0 1     0 0 0 1 1 .2247 184.6442 93.4901 [0 1 1 0 0 -1 -2 -2 -1 -2]
Gutri & Lorubi 6/5, 33/28 (P8, P5, ^1) 1 0 1 0 2     0 1 1 0 -1     0 0 0 1 1 .2247 166.6313 93.7983 [0 1 1 1 1 1 -1 -1 2 3]
Yo & Zobi + ela 10/9, 7/6 (P8, P5, ^1) 1 0 -1 1 0     0 1 2 1 0     0 0 0 0 1 .2490 116.3472 44.1818 [0 0 1 0 2 1 0 1 -1 -3]
2-edo & Ruyo + ela 9/8, 15/14 (P8/2, ^1, /1) 2 3 0 1 0     0 0 1 1 0     0 0 0 0 1 .2490 67.3315 42.1695 [0 0 0 0 2 2 0 3 3 -1]
Yobi & Zotri + ela 5/4, 21/16 (P8, P5, ^1) 1 0 2 4 0     0 1 0 -1 0     0 0 0 0 1 .2599 183.9380 76.4191 [0 0 1 0 0 -1 0 -2 -4 -2]
2-edo & Rubi + yala 9/8, 8/7 (P8/2, ^1, /1) 2 3 0 6 0     0 0 1 0 0     0 0 0 0 1 .2661 146.1276 84.9489 [0 0 0 0 2 0 0 3 0 -6]
Yo & Rubi + ela 10/9, 8/7 (P8, P5, ^1) 1 0 -1 3 0     0 1 2 0 0     0 0 0 0 1 .2661 94.0350 62.7209 [0 0 1 0 2 0 0 1 -3 -6]
Zobi & Lu + ya 7/6, 12/11 (P8, P5, ^1) 1 0 0 1 2     0 1 0 1 1     0 0 1 0 0 .2717 142.7377 61.8600 [1 0 0 -1 -1 0 1 2 0 -1]
Zobi & Logu 7/6, 11/10 (P8, P5, ^1) 1 0 0 1 1     0 1 0 1 0     0 0 1 0 1 .2717 121.2280 58.8195 [1 0 1 -1 0 1 1 1 -1 -1]
Zobi & Lotri + ya 7/6, 11/9 (P8, P5, ^1) 1 0 0 1 0     0 1 0 1 2     0 0 1 0 0 .2717 133.5384 71.6408 [1 0 0 -1 -2 0 1 0 0 2]
Ruyo & Logu 15/14, 11/10 (P8, P5, ^1) 1 0 0 -1 1     0 1 0 1 0     0 0 1 1 1 .2717 78.5867 57.4269 [1 1 1 -1 0 1 -1 1 2 -1]
Zogu & Logu 21/20, 11/10 (P8, P5, ^1) 1 0 0 2 1     0 1 0 -1 0     0 0 1 1 1 .2717 54.8152 43.5043 [1 1 1 1 0 -1 2 1 -1 1]
Ruyo & Lu 15/14, 12/11 (P8, P5, ^1) 1 0 0 -1 2     0 1 0 1 1     0 0 1 1 0 .2717 63.5639 50.7175 [1 1 0 -1 -1 -1 -1 2 2 -3]
Zogu & Lu 21/20, 12/11 (P8, P5, ^1) 1 0 0 2 2     0 1 0 -1 1     0 0 1 1 0 .2717 58.3506 56.8101 [1 1 0 1 -1 -1 2 2 2 4]