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By an associated temperament to a p-limit comma is meant a p-limit temperament tempering out that comma which shares the same optimal patent val as the codimension one temperament tempering out that comma. By definition, the optimal patent val defines the unique rank one associated temperament. For rank two temperaments, it is possible for more than one temperament to be associated, and some of these are listed below. The column headings are the comma being associated, the optimal patent val, the rank two temperament, and a comma basis for the rank two temperament.

7 limit

Comma
OPV
Temperament
Basis
28/27
15edo
blacksmith
28/27, 49/48
1029/1000
55edo
liese
81/80, 686/675
36/35
12edo
diminished
36/35, 50/49
36/35
12edo
august
36/35, 128/125
36/35
12edo
dominant
36/35, 64/63
525/512
45edo
flattone
81/80, 525/512
49/48
19edo
keemun
49/48, 126/125
49/48
19edo
godzilla
49/48, 81/80
50/49
48edo
doublewide
50/49, 875/864
64/63
49edo
superpyth
64/63, 245/243
875/864
41edo
magic
225/224, 245/243
875/864
41edo
superkleismic
875/864, 1029/1024
3125/3087
94edo
garibaldi
225/224, 3125/3087
2430/2401
137edo
orwell
225/224, 1728/1715
245/243
283edo
escaped
245/243, 65625/65536
126/125
185edo
valentine
126/125, 1029/1024
1728/1715
111edo
buzzard
1728/1715, 5120/5103
1728/1715
111edo
semisept
1728/1715, 3136/3125
1029/1024
190edo
unidec
1029/1024, 4375/4374
225/224
197edo
catakleismic
225/224, 4375/4374
3136/3125
446edo
sengagen
3136/3125, 420175/419904
5120/5103
391edo
alphaquarter
5120/5103, 29360128/29296875
5120/5103
391edo
septiquarter
5120/5103, 420175/419904
6144/6125
381edo
nessafof
6144/6125, 250047/250000
65625/65536
171edo
tertiaseptal
2401/2400, 65625/65536
703125/702464
2185edo
enneadecal
4375/4374, 703125/702464
4375/4374
8419edo
semidimi
4375/4374, 3955078125/3954653486
250047/250000
12555edo

250047/250000, 281484423828125/281474976710656

11 limit

Comma
OPV
Temperament
Basis
33/32
16edo
armodue
33/32, 36/35, 45/44
77/75
39edo
triforce
49/48, 56/55, 77/75
352/343
22edo
hedgehog
50/49, 55/54, 99/98
45/44
45edo
flattone
45/44, 81/80, 385/384
55/54
51edo
porky
55/54, 100/99, 225/224
56/55
36edo
catcall
56/55, 81/80, 128/125
245/242
91edo
septimin
225/224, 245/242, 385/384
99/98
127edo
würschmidt
99/98, 176/175, 243/242
100/99
104edo
magic
100/99, 225/224, 245/243
121/120
99edo
hitchcock
121/120, 176/175, 2200/2187
121/120
99edo
hemiwur
121/120, 176/175, 1375/1372
176/175
111edo
semisept
176/175, 540/539, 1331/1323
896/891
208edo
metakleismic
896/891, 2200/2187, 14700/14641
65536/65219
282edo
septisuperfourth
540/539, 4000/3993, 5632/5625
243/242
202edo
harry
243/242, 441/440, 4000/3993
243/242
202edo
tertiaseptal
243/242, 441/440, 65625/65536
3388/3375
316edo
semiparakleismic
3025/3024, 3136/3125, 4375/4374
385/384
284edo
quadritikleismic
385/384, 1375/1372, 6250/6237
441/400
320edo
octowerck
441/440, 8019/8000, 41503/41472
540/539
578edo
pogo
540/539, 4000/3993, 32805/32768
4000/3993
665edo
brahmagupta
4000/3993, 4375/4374, 131072/130977
5632/5625
1092edo
sextile
5632/5625, 9801/9800, 151263/151250
3025/3024
2554edo
semisupermajor
3025/3024, 4375/4374, 35156250/35153041

13 limit

Comma
OPV
Temperament
Basis
26/25
12edo
augustus
26/25, 36/35, 45/44, 56/55
27/26
35edo
secund
27/26, 45/44, 99/98, 385/384
27/26
35edo
greenwood
27/26, 45/44, 99/98, 640/637
40/39
15edo
blacksmith
28/27, 40/39, 49/48, 55/54
65/64
29edo
negril
49/48, 65/64, 91/90, 875/858
65/64
29edo
coendou
55/54, 65/64, 100/99, 105/104
66/65
31edo
winston
66/65, 99/98, 105/104, 121/120
66/65
31edo
mohajira
66/65, 81/80, 105/104, 121/120
66/65
31edo
squares
66/65, 81/80, 99/98, 121/120
78/77
43edo
amavil
78/77, 99/98, 144/143, 176/175
78/77
43edo
jerome
78/77, 81/80, 99/98, 144/143
91/90
102edo
echidnic
91/90, 169/168, 385/384, 441/440
105/104
91edo
septimin
105/104, 144/143, 196/195, 245/242
275/273
94edo
garibaldi
225/224, 275/273, 325/324, 385/384
144/143
84edo
merman
144/143, 225/224, 364/363, 441/440
144/143
84edo
secant
144/143, 351/350, 364/363, 441/440
169/168
152edo
octopus
169/168, 325/324, 364/363, 540/539
196/195
232edo
mystery
196/195, 352/351, 364/363, 676/675
640/637
205edo
quanic
352/351, 540/539, 729/728, 1331/1323
1188/1183
255edo
subsemifourth
540/539, 847/845, 1375/1372, 1575/1573
325/324
333edo
novemkleismic
325/324, 625/624, 1375/1372, 4000/3993
351/350
546edo
fermionic
351/350, 540/539, 40656/40625, 142884/142805
352/351
198edo
semihemi
352/351, 676/675, 847/845, 1716/1715
352/351
198edo
hemimist
352/351, 676/675, 847/845, 3025/3024
847/845
388edo
neusec
847/845, 1001/1000, 3025/3024, 4375/4374
676/675
940edo
decoid
676/675, 1001/1000, 1716/1715, 4225/4224
2200/2197
836edo
quasithird
2200/2197, 3025/3024, 4375/4374, 468512/468195