7-limit rank 3 temperaments

Here some 7-limit commas, errors for the least-squares tuning of the
corresponding temperament, and the least-squares tuning as a matrix.

1029/1000
[0., -4.9491578678257750800, 4.9491578678257750800,
-9.8983157356515504000]
[[1, 0, 0, 0], [3/10, 9/10, 3/10, -3/10], [-3/10, 1/10, 7/10, 3/10],
[3/5, -1/5, 3/5, 2/5]]

36/35
[0., -16.256793798938363040, 8.1283968994691815200, 8.1283968994691815200]
[[1, 0, 0, 0], [-2/3, 1/3, 1/3, 1/3], [1/3, 1/3, 5/6, -1/6], [1/3,
1/3, -1/6, 5/6]]

525/512
[0., -9.8655306964049958000, -11.838636835685995080,
-9.8655306964049958000]
[[1, 0, 0, 0], [45/22, 17/22, -5/11, -5/22], [27/11, -3/11, 5/11,
-3/11], [45/22, -5/22, -5/11, 17/22]]

49/48
[0., 0., -5.9494686788104065600, -17.848406036431219920]
[[1, 0, 0, 0], [0, 1, 0, 0], [2/3, 1/6, 1, -1/3], [2, 1/2, 0, 0]]

50/49
[0., 0., -8.7439036978549442400, 8.7439036978549443600]
[[1, 0, 0, 0], [0, 1, 0, 0], [-1/4, 0, 1/2, 1/2], [1/4, 0, 1/2, 1/2]]

686/675
[0., 5.3817863618351727600, 4.3054290894681382800, -1.0763572723670346000]
[[1, 0, 0, 0], [5/26, 11/26, -5/13, 15/26], [2/13, -6/13, 9/13, 6/13],
[-1/26, 3/26, 1/13, 23/26]]

64/63
[0., 9.7371756428929412400, 5.8423053857357647200, 7.7897405143143530400]
[[1, 0, 0, 0], [15/7, 2/7, 0, -5/14], [9/7, -3/7, 1, -3/14], [12/7,
-4/7, 0, 5/7]]

875/864
[0., 2.1902045467467127200, -4.3804090934934255600,
-2.1902045467467127200]
[[1, 0, 0, 0], [-1/2, 7/10, 3/10, 1/10], [1, 3/5, 2/5, -1/5], [1/2,
3/10, -3/10, 9/10]]

3125/3087
[0., 1.1147814834749718000, -2.7869537086874295600, 1.6721722252124577600]
[[1, 0, 0, 0], [0, 17/19, 5/19, -3/19], [0, 5/19, 13/38, 15/38], [0,
-3/19, 15/38, 29/38]]

2430/2401
[0., -3.1629488305848986400, -1.3555494988220994000, .9036996658813995600]
[[1, 0, 0, 0], [-7/46, 11/46, -7/46, 14/23], [-3/46, -15/46, 43/46,
6/23], [1/23, 5/23, 1/23, 19/23]]

245/243
[0., 2.9215781568539148000, .4173683081219877600, 0.]
[[1, 0, 0, 0], [0, -1/34, 7/34, 7/17], [0, -5/34, 35/34, 1/17], [0, 0,
0, 1]]

126/125
[0., -1.9706809436279017200, 2.9560214154418526400, -.9853404718139508000]
[[1, 0, 0, 0], [-1/7, 5/7, 3/7, -1/7], [3/14, 3/7, 5/14, 3/14],
[-1/14, -1/7, 3/14, 13/14]]

4000/3969
[0., 2.4811914832351174800, 0., 1.7722796308822267200]
[[1, 0, 0, 0], [35/38, 5/19, 21/38, -7/19], [0, 0, 1, 0], [25/38,
-10/19, 15/38, 14/19]]

1728/1715
[0., -1.3073569323952650000, 1.3073569323952648800, 2.6147138647905298800]
[[1, 0, 0, 0], [-3/5, 7/10, 1/10, 3/10], [3/5, 3/10, 9/10, -3/10],
[6/5, 3/5, -1/5, 2/5]]

1029/1024
[0., -1.6216769755311932400, -1.2973415804249545200,
-2.2703477657436704400]
[[1, 0, 0, 0], [25/13, 21/26, 0, -15/26], [20/13, -2/13, 1, -6/13],
[35/13, -7/26, 0, 5/26]]

225/224
[0., -2.1420897198109838400, -2.1420897198109838400,
-.8568358879243935600]
[[1, 0, 0, 0], [25/18, 4/9, -5/9, 5/18], [25/18, -5/9, 4/9, 5/18],
[5/9, -2/9, -2/9, 10/9]]

19683/19600
[0., -.8984275411222959600, -.1925201873833491600, -.1925201873833491600]
[[1, 0, 0, 0], [28/57, -2/19, 14/57, 14/57], [2/19, -9/38, 20/19,
1/19], [2/19, -9/38, 1/19, 20/19]]

16875/16807
[0., -.6472523805441554400, -.7767028566529866000, .3883514283264932400]
[[1, 0, 0, 0], [0, 13/18, -10/27, 25/54], [0, -1/3, 5/9, 5/9], [0,
1/6, 2/9, 13/18]]

10976/10935
[0., .9255713549754349200, .4627856774877175200, .1542618924959058000]
[[1, 0, 0, 0], [5/7, 0, -1/7, 3/7], [5/14, -1/2, 13/14, 3/14], [5/42,
-1/6, -1/42, 15/14]]

3136/3125
[0., .4802560747954556400, 1.2806828661212148000, .1600853582651518800]
[[1, 0, 0, 0], [9/19, 1, -15/38, 3/19], [24/19, 0, -1/19, 8/19],
[3/19, 0, -5/38, 20/19]]

5120/5103
[0., .9336976546030348800, .3890406894179312400, .5446569651851037600]
[[1, 0, 0, 0], [60/37, 1/37, 6/37, -6/37], [25/37, -15/37, 79/74,
-5/74], [35/37, -21/37, 7/74, 67/74]]

6144/6125
[0., .5362046332633106400, 1.2511441442810584800, 1.0724092665266215200]
[[1, 0, 0, 0], [11/10, 11/10, -3/10, -1/5], [77/30, 7/30, 3/10,
-7/15], [11/5, 1/5, -3/5, 3/5]]

65625/65536
[0., -.2473133324933088000, -.3709699987399633200, -.2473133324933088000]
[[1, 0, 0, 0], [32/19, 17/19, -10/19, -2/19], [48/19, -3/19, 4/19,
-3/19], [32/19, -2/19, -10/19, 17/19]]

703125/702464
[0., -.1329207654892874400, -.2159962439200921200,
-.498452870584828800e-1]
[[1, 0, 0, 0], [44/49, 41/49, -4/7, 12/49], [143/98, -13/49, 1/14,
39/98], [33/98, -3/49, -3/14, 107/98]]

420175/419904
[0., .1069423230824938800, -.118824803424992400e-1,
-.475299213699973200e-1]
[[1, 0, 0, 0], [-27/47, 11/47, 9/47, 45/94], [3/47, 4/47, 46/47,
-5/94], [12/47, 16/47, -4/47, 37/47]]

2401/2400
[0., 0., .327816946110300000e-1, -.1639084730551506000]
[[1, 0, 0, 0], [0, 1, 0, 0], [-5/22, -1/22, 10/11, 2/11], [25/22,
5/22, 5/11, 1/11]]

4375/4374
[0., .508828976681494800e-1, -.113073105929221200e-1,
.56536552964611200e-2]
[[1, 0, 0, 0], [-9/70, 1/10, 18/35, 9/70], [1/35, 1/5, 31/35, -1/35],
[-1/70, -1/10, 2/35, 71/70]]

250047/250000
[0., -.325441410690388800e-1, .108480470230129200e-1,
-.216960940460259600e-1]
[[1, 0, 0, 0], [2/5, 2/5, 3/5, -3/10], [-2/15, 1/5, 4/5, 1/10], [4/15,
-2/5, 2/5, 4/5]]

78125000/78121827
[0., .42471821513890800e-2, -.11797728198303600e-2, .16516819477623600e-2]
[[1, 0, 0, 0], [27/149, 32/149, 90/149, -18/149], [-15/298, 65/298,
124/149, 5/149], [21/298, -91/298, 35/149, 142/149]]