Alternative list of best temperaments

Here's a list of temperaments based on my preferred error and complexity measures. Error is the unweighted RMS error based on superparticular intervals from 2/1 to (prime+1)/prime (e.g. for 5-limit temperaments I optimize for 2/1, 3/2, 4/3, 5/4, and 6/5). Since most useful intervals are superparticular themselves or the sum or difference of two superparticular intervals, this gives a better error measure than optimizing the primes. It also allows me to distinguish which 7-limit temperaments are better for 9-limit intervals.

For example, 5-limit meantone is [<1 2 4|, <0 -1 -4|], but I want to optimize for 2/1, 3/2, 4/3, 5/4, and 6/5, so I take this pair of vals which represents the mapping for each of these intervals:

[<1 1 0 2 -1|, <0 -1 1 -4 3|]

Then I do the RMS optimization in the usual way but without weighting, which gives an error of about 4.055 cents. The complexity is proportional to the RMS of the generator complexity of each of these intervals, i.e., sqrt(1 + 1 + 16 + 9) (about 5.2), multiplied by the number of periods in an octave.

5-limit temperaments:
1&2 father [<1 2 2|, <0 -1 1|]
3&4 dicot [<1 1 2|, <0 2 1|]
5&7 meantone [<1 2 4|, <0 -1 -4|]
2&10 srutal [<2 3 5|, <0 1 -2|]
4&15 hanson [<1 0 1|, <0 6 5|]
12&17 helmholtz [<1 2 -1|, <0 -1 8|]
16&18 vishnu [<2 4 5|, <0 -7 -3|]
25&31 luna [<1 4 2|, <0 -15 2|]
22&52 kwazy [<2 1 6|, <0 8 -5|]
53&188 monzismic [<1 2 10|, <0 -2 -37|]
71&84 pirate [<1 -6 0|, <0 49 15|]

7-limit temperaments:
4&5 beep [<1 2 3 3|, <0 -2 -3 -1|]
5&7 dominant [<1 2 4 2|, <0 -1 -4 2|]
5&10 blacksmith [<5 8 12 14|, <0 0 -1 0|]
1&9 negri [<1 2 2 3|, <0 -4 3 -2|]
5&19 semaphore, godzilla [<1 2 4 3|, <0 -2 -8 -1|]
2&10 pajara [<2 3 5 6|, <0 1 -2 -2|]
3&12 augene [<3 5 7 8|, <0 -1 0 2|]
5&17 superpyth [<1 2 6 2|, <0 -1 -9 2|]
12&19 meantone [<1 2 4 7|, <0 -1 -4 -10|]
19&22 magic [<1 0 2 -1|, <0 5 1 12|]
9&22 orwell [<1 0 3 1|, <0 7 -3 8|]
10&11 miracle [<1 1 3 3|, <0 6 -7 -2|]
19&53 catakleismic [<1 0 1 -3|, <0 6 5 22|]
6&31 hemiw�rschmidt [<1 -1 2 2|, <0 16 2 5|]
41&58 hemififths [<1 1 -5 -1|, <0 2 25 13|]
27&45 ennealimmal [<9 15 22 26|, <0 -2 -3 -2|]

9-limit temperaments:
2d&5 father [<1 2 2 4|, <0 -1 1 -3|]
4&5 beep [<1 2 3 3|, <0 -2 -3 -1|]
5&7 dominant [<1 2 4 2|, <0 -1 -4 2|]
5&19 semaphore, godzilla [<1 2 4 3|, <0 -2 -8 -1|]
2&10 pajara [<2 3 5 6|, <0 1 -2 -2|]
5&17 superpyth [<1 2 6 2|, <0 -1 -9 2|]
12&19 meantone [<1 2 4 7|, <0 -1 -4 -10|]
19&22 magic [<1 0 2 -1|, <0 5 1 12|]
19&27 sensi [<1 -1 -1 -2|, <0 7 9 13|]
12&29 garibaldi [<1 2 -1 -3|, <0 -1 8 14|]
10&11 miracle [<1 1 3 3|, <0 6 -7 -2|]
19&53 catakleismic [<1 0 1 -3|, <0 6 5 22|]
7&39 amity [<1 3 6 -2|, <0 -5 -13 17|]
41&58 hemififths [<1 1 -5 -1|, <0 2 25 13|]
6&31 hemiw�rschmidt [<1 -1 2 2|, <0 16 2 5|]
19&80 parakleismic [<1 5 6 12|, <0 -13 -14 -35|]
27&45 ennealimmal [<9 15 22 26|, <0 -2 -3 -2|]

11-limit temperaments:
5&10c [<5 8 12 14 18|, <0 0 0 0 -1|]
3d&5e (father) [<1 2 2 4 2|, <0 -1 1 -3 4|]
4&7 (dicot) [<1 1 2 2 4|, <0 2 1 3 -2|]
7&12 domineering [<1 2 4 2 6|, <0 -1 -4 2 -6|]
7&14c septimal [<7 11 16 20 24|, <0 0 0 -1 0|]
5&12 dominant [<1 2 4 2 1|, <0 -1 -4 2 6|]
15&25 blacksmith [<5 8 12 14 18|, <0 0 -1 0 -2|]
7&8 porcupine [<1 2 3 2 4|, <0 -3 -5 6 -4|]
4&15 keemun [<1 0 1 2 4|, <0 6 5 3 -2|]
7&24 mohajira [<1 1 0 6 2|, <0 2 8 -11 5|]
19&22 magic [<1 0 2 -1 6|, <0 5 1 12 -8|]
9&22 orwell [<1 0 3 1 3|, <0 7 -3 8 2|]
7&39 hitchcock [<1 3 6 -2 6|, <0 -5 -13 17 -9|]
10&31 miracle [<1 1 3 3 2|, <0 6 -7 -2 15|]
19&53 catakleismic [<1 0 1 -3 9|, <0 6 5 22 -21|]
22&50 wizard [<2 1 5 2 8|, <0 6 -1 10 -3|]
26&46 unidec [<2 5 8 5 6|, <0 -6 -11 2 3|]
58&72 harry [<2 4 7 7 9|, <0 -6 -17 -10 -15|]
58&94 supers [<2 4 11 7 13|, <0 -3 -23 -5 -22|]
72&80 octoid [<8 13 19 23 28|, <0 -3 -4 -5 -3|]

13-limit temperaments:
7&8d hystrix [<1 2 3 3 4 4|, <0 -3 -5 -1 -4 -2|]
5e&7 domineering [<1 2 4 2 6 5|, <0 -1 -4 2 -6 -3|]
7&9 armodue [<1 2 1 5 3 5|, <0 -1 3 -5 1 -3|]
7&10 [<1 1 2 4 2 4|, <0 2 1 -4 5 -1|]
7&14c septimal [<7 11 16 20 24 26|, <0 0 0 -1 0 0|]
7&10c maqamic [<1 1 0 4 2 4|, <0 2 8 -4 5 -1|]
7&8 porcupine [<1 2 3 2 4 4|, <0 -3 -5 6 -4 -2|]
7&19 flattone [<1 2 4 -1 6 2|, <0 -1 -4 9 -6 4|]
7&27e [<1 1 1 4 2 4|, <0 4 9 -8 10 -2|]
7&24 mohajira [<1 1 0 6 2 4|, <0 2 8 -11 5 -1|]
9&31 winston [<1 0 3 1 3 1|, <0 7 -3 8 2 12|]
19&41 magic [<1 0 2 -1 6 -2|, <0 5 1 12 -8 18|]
7&34 monkey [<1 1 1 5 2 4|, <0 4 9 -15 10 -2|]
15&26 superkleismic [<1 4 5 2 4 8|, <0 -9 -10 3 -2 -16|]
7&39 hitchcock [<1 3 6 -2 6 2|, <0 -5 -13 17 -9 6|]
22&31 julia [<1 0 3 1 3 8|, <0 7 -3 8 2 -19|]
41&58 hemififths [<1 1 -5 -1 2 4|, <0 2 25 13 5 -1|]
19&53 catakleismic [<1 0 1 -3 9 0|, <0 6 5 22 -21 14|]
41&46 rodan [<1 1 -1 3 6 8|, <0 3 17 -1 -13 -22|]
26&46 unidec, hendec [<2 5 8 5 6 8|, <0 -6 -11 2 3 -2|]
41&53 garibaldi [<1 2 -1 -3 13 12|, <0 -1 8 14 -23 -20|]
7&87 [<1 -1 -4 12 -2 6|, <0 9 22 -32 19 -8|]
72&94 gizzard [<2 1 5 2 8 -2|, <0 6 -1 10 -3 26|]
58&72 harry [<2 4 7 7 9 11|, <0 -6 -17 -10 -15 -26|]
46&84 [<2 5 7 3 3 4|, <0 -7 -9 10 15 13|]
53&130 hemischis [<1 2 -1 8 -9 1|, <0 -2 16 -25 60 13|]

15-limit temperaments:
4e&7 dicot [<1 1 2 2 2 4|, <0 2 1 3 5 -1|]
2&7 pelogic [<1 2 1 2 3 5|, <0 -1 3 2 1 -3|]
5e&9 beep [<1 2 3 3 5 5|, <0 -2 -3 -1 -7 -6|]
7&9 armodue [<1 2 1 5 3 5|, <0 -1 3 -5 1 -3|]
5e&7 domineering [<1 2 4 2 6 5|, <0 -1 -4 2 -6 -3|]
7&10 [<1 1 2 4 2 4|, <0 2 1 -4 5 -1|]
9&21 august [<3 5 7 9 11 12|, <0 -1 0 -2 -2 -3|]
2f&10 pajaric [<2 3 5 6 7 8|, <0 1 -2 -2 0 -3|]
8d&9 progression [<1 1 2 2 3 3|, <0 5 3 7 4 6|]
9&10 negri [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|]
7&19 flattone [<1 2 4 -1 6 2|, <0 -1 -4 9 -6 4|]
7c&10 beatles [<1 1 5 4 2 4|, <0 2 -9 -4 5 -1|]
19&29 negril [<1 2 2 3 2 4|, <0 -4 3 -2 14 -3|]
9&31 winston [<1 0 3 1 3 1|, <0 7 -3 8 2 12|]
19&41 magic [<1 0 2 -1 6 -2|, <0 5 1 12 -8 18|]
10&31 miraculous [<1 1 3 3 2 4|, <0 6 -7 -2 15 -3|]
19&27 sensor [<1 -1 -1 -2 9 0|, <0 7 9 13 -15 10|]
31&58 myna [<1 -1 0 1 -3 5|, <0 10 9 7 25 -5|]
22&31 julia [<1 0 3 1 3 8|, <0 7 -3 8 2 -19|]
19&53 catakleismic [<1 0 1 -3 9 0|, <0 6 5 22 -21 14|]
41&53 garibaldi [<1 2 -1 -3 13 12|, <0 -1 8 14 -23 -20|]
72&94 gizzard [<2 1 5 2 8 -2|, <0 6 -1 10 -3 26|]
34&53 countercata [<1 0 1 11 -5 0|, <0 6 5 -31 32 14|]
58&72 harry [<2 4 7 7 9 11|, <0 -6 -17 -10 -15 -26|]

17-limit temperaments:
3d&8d father 1 [<1 2 2 4 2 3 3|, <0 -1 1 -3 4 2 3|]
7&9 armodue [<1 2 1 5 3 5 5|, <0 -1 3 -5 1 -3 -2|]
10&20 [<10 16 23 28 35 37 41|, <0 0 0 0 -1 0 0|]
5e&7 domineering [<1 2 4 2 6 5 2|, <0 -1 -4 2 -6 -3 5|]
2f&10 pajaric [<2 3 5 6 7 8 8|, <0 1 -2 -2 0 -3 1|]
9&10 (negri) [<1 2 2 3 4 4 4|, <0 -4 3 -2 -5 -3 1|]
10e&12f (pajara) [<2 3 5 6 8 8 8|, <0 1 -2 -2 -6 -3 1|]
22&44 [<22 35 51 62 76 82 90|, <0 0 0 0 0 -1 0|]
19&31 meanpop [<1 2 4 7 -2 10 2|, <0 -1 -4 -10 13 -15 5|]
12&22f (pajara) [<2 3 5 6 8 6 8|, <0 1 -2 -2 -6 8 1|]
9&31 winston [<1 0 3 1 3 1 5|, <0 7 -3 8 2 12 -4|]
19&41 magic [<1 0 2 -1 6 -2 6|, <0 5 1 12 -8 18 -6|]
10&31 miraculous [<1 1 3 3 2 4 4|, <0 6 -7 -2 15 -3 1|]
31&50 meanpop [<1 2 4 7 -2 10 15|, <0 -1 -4 -10 13 -15 -26|]
46&68 shrutar [<2 3 5 5 7 6 8|, <0 2 -4 7 -1 16 2|]
36&58 echidna [<2 4 3 7 5 11 9|, <0 -3 6 -5 7 -13 -3|]
46&58 diaschismic [<2 3 5 7 9 10 8|, <0 1 -2 -8 -12 -15 1|]
7&39 hitchcock [<1 3 6 -2 6 2 -1|, <0 -5 -13 17 -9 6 18|]
41&46 rodan [<1 1 -1 3 6 8 8|, <0 3 17 -1 -13 -22 -20|]
53&72 catakleismic [<1 0 1 -3 9 0 -7|, <0 6 5 22 -21 14 42|]
72&94 wizard [<2 1 5 2 8 -2 6|, <0 6 -1 10 -3 26 6|]
58&72 harry [<2 4 7 7 9 11 9|, <0 -6 -17 -10 -15 -26 -6|]