Wedgie badness sorted 11-limit rank 3 temperaments

Below I give a name, when I know one, a wedgie, and a normal comma list as identifiers to these. The evaluations different measures give for these temperaments is rather variable, so I thought it worthwhile to do another search using the RMS wedgie measures. I generated candidates both from pairs of commas and triples of patent vals, and used a maximum badness of 0.0005, error 0f 0.01, and complexity of 2. It seems to me the 58&72&152 temperament is not so complex as to be undeserving of a name--does anyone have a favorite deity to suggest?

The three numbers on the bottom row for each temperament are 10000*badness, 10000*error, and complexity. Mighty Thor beats out Odin and Jove, not to mention Baldur, Freya and Portent, to win the prize. I think I'll go look at my tick-tack-toe diagrams for some of these again.

Thor
[2, -8, -6, -14, -10, -2, 2, 5, -14, -25]
[4375/4374, 1890625/1889568]
.888340, .629140, 1.14797

Odin
[6, 12, 18, 12, 24, 12, 8, 17, 10, 2]
[250047/250000, 50014503/50000000]
1.16151, .223600, 1.93297

Baldur
[8, 4, 12, -2, 14, 10, 10, 22, -4, -23]
[2401/2400, 160083/160000]
1.66115, .718750, 1.39808

Freya
[8, 4, -6, -2, -13, -8, 10, 21, 18, 11]
[2401/2400, 41503/41472]
1.69702, .990330, 1.24040

Portent
[3, 0, -3, 1, -4, 1, 10, 11, 10, 17]
[1029/1024, 385/384]
2.34092, 7.54775, .626080

Jove
[4, 2, 0, -1, -10, -5, 5, -2, -1, 13]
[2401/2400, 540/539]
2.41055, 8.03379, .617840

Marvel
[1, 2, -3, -2, 1, -4, -5, 12, 9, -19]
[225/224, 4125/4096]
2.55033, 11.3498, .550360

Tyr
[6, 12, 0, 12, -3, -6, 8, 16, 32, 36]
[250047/250000, 160083/160000]
2.58734, .918920, 1.51297

Indra
[5, 4, -3, -3, -9, -9, 0, 10, 8, -6]
[16875/16807, 540/539]
2.66020, 4.79927, .789760

Ennealimmal Plus
[0, 0, 18, 0, 27, 18, 0, 1, -22, -34]
[7629394531250/7625597484987, 4375/4374]
2.74685, .700600, 1.72722

Prodigy
[1, 2, 3, -2, -6, -6, -5, -13, -11, -4]
[225/224, 91125/90112]
3.34475, 12.7515, .585490

Skadi
[6, 14, 1, -4, -11, -25, -22, 1, 6, -41]
[703125/702464, 759375/758912]
3.48944, .903810, 1.71661

Thrush
[1, 3, 5, 2, 2, -4, -1, -5, -10, -8]
[126/125, 3168/3125]
3.52591, 21.0198, .489620

58&72&152
[6, 0, 6, -10, 2, 10, 1, 10, -1, -17]
[118098/117649, 540/539]
3.61398, 4.40855, .923580

270&342&463
[10, -4, -12, -16, -23, -10, 12, 26, 4, -14]
[420175/419904, 181575625/181398528]
3.67197, .788430, 1.85035

22&270&342
[10, -4, 6, -16, 4, 8, 12, 27, -18, -48]
[420175/419904, 41503/41472]
3.67922, 1.01194, 1.67587

130&342&494
[8, 6, 14, -18, -2, 30, -20, -8, 29, 13]
[2460375/2458624, 759375/758912]
3.80141, .709110, 1.95746

Minera
[1, 2, 4, -2, -2, 4, -5, -9, 2, 8]
[225/224, 5632/5625]
3.81064, 28.3049, .448390

31&152&270
[1, 10, 4, -1, -2, -16, -22, -9, -2, -35]
[29360128/29296875, 5632/5625]
3.90462, 2.18407, 1.26161

Zeus
[2, -3, 1, -1, -1, 2, 11, 3, -10, 4]
[6144/6125, 385/384]
3.99882, 22.5390, .500720

Guanyin
[3, -1, 5, -3, -3, 6, 6, -6, -8, 12]
[1728/1715, 540/539]
4.11252, 15.8856, .582430

Varuna
[2, 4, 6, 8, 12, 0, 9, 12, -3, -6]
[321489/320000, 8019/8000]
4.18714, 5.71674, .882890

217&270&342
[2, -8, 12, -14, 17, 16, 2, 6, -36, -59]
[4375/4374, 15625959723/15625000000]
4.37207, .994320, 1.80827

Ares
[1, 0, 2, 2, 2, -4, 6, 2, -12, -8]
[64/63, 100/99]
4.68874, 45.3338, .403510

Starling+
[1, 3, 2, 2, 2, 2, -1, 2, 8, 6]
[126/125, 100/99]
4.80188, 65.5914, .351420

31&270&494
[7, -6, -10, -1, -11, 8, 32, 30, 20, 46]
[12884901888/12867859375, 2359296/2358125]
4.89428, 1.12874, 1.79820

Loki
[2, 6, 8, -8, -4, 20, -21, -18, 30, 30]
[102760448/102515625, 5632/5625]
4.92550, 1.84501, 1.48109

Agni
[4, 2, -6, -1, -3, -3, 5, 23, 19, -2]
[2401/2400, 385/384]
4.93790, 6.66296, .887050

Spectacle
[2, 4, 0, -4, -5, -10, -10, -1, -2, -23]
[225/224, 243/242]
4.98669, 12.0777, .701990

130&270&494
[6, -2, 4, 6, 18, -10, 31, 40, -34, -53]
[2147483648/2144153025, 131072/130977]
4.98842, .893030, 1.98994

72&87&152
[3, 12, 3, 11, 1, -7, -2, 5, 22, 19]
[244140625/243045684, 6250/6237]
4.99646, 3.12288, 1.20682

Well I would definitely exclude Dionysis. Perhaps Hades?

--- In tuning-math@yahoogroups.com, "genewardsmith" <genewardsmith@...> wrote:
>
> Below I give a name, when I know one, a wedgie, and a normal comma list as identifiers to these. The evaluations different measures give for these temperaments is rather variable, so I thought it worthwhile to do another search using the RMS wedgie measures. I generated candidates both from pairs of commas and triples of patent vals, and used a maximum badness of 0.0005, error 0f 0.01, and complexity of 2. It seems to me the 58&72&152 temperament is not so complex as to be undeserving of a name--does anyone have a favorite deity to suggest?
>
> The three numbers on the bottom row for each temperament are 10000*badness, 10000*error, and complexity. Mighty Thor beats out Odin and Jove, not to mention Baldur, Freya and Portent, to win the prize. I think I'll go look at my tick-tack-toe diagrams for some of these again.
>
> Thor
> [2, -8, -6, -14, -10, -2, 2, 5, -14, -25]
> [4375/4374, 1890625/1889568]
> .888340, .629140, 1.14797
>
>
> Odin
> [6, 12, 18, 12, 24, 12, 8, 17, 10, 2]
> [250047/250000, 50014503/50000000]
> 1.16151, .223600, 1.93297
>
>
> Baldur
> [8, 4, 12, -2, 14, 10, 10, 22, -4, -23]
> [2401/2400, 160083/160000]
> 1.66115, .718750, 1.39808
>
>
> Freya
> [8, 4, -6, -2, -13, -8, 10, 21, 18, 11]
> [2401/2400, 41503/41472]
> 1.69702, .990330, 1.24040
>
>
> Portent
> [3, 0, -3, 1, -4, 1, 10, 11, 10, 17]
> [1029/1024, 385/384]
> 2.34092, 7.54775, .626080
>
>
> Jove
> [4, 2, 0, -1, -10, -5, 5, -2, -1, 13]
> [2401/2400, 540/539]
> 2.41055, 8.03379, .617840
>
>
> Marvel
> [1, 2, -3, -2, 1, -4, -5, 12, 9, -19]
> [225/224, 4125/4096]
> 2.55033, 11.3498, .550360
>
>
> Tyr
> [6, 12, 0, 12, -3, -6, 8, 16, 32, 36]
> [250047/250000, 160083/160000]
> 2.58734, .918920, 1.51297
>
>
> Indra
> [5, 4, -3, -3, -9, -9, 0, 10, 8, -6]
> [16875/16807, 540/539]
> 2.66020, 4.79927, .789760
>
>
> Ennealimmal Plus
> [0, 0, 18, 0, 27, 18, 0, 1, -22, -34]
> [7629394531250/7625597484987, 4375/4374]
> 2.74685, .700600, 1.72722
>
>
> Prodigy
> [1, 2, 3, -2, -6, -6, -5, -13, -11, -4]
> [225/224, 91125/90112]
> 3.34475, 12.7515, .585490
>
>
> Skadi
> [6, 14, 1, -4, -11, -25, -22, 1, 6, -41]
> [703125/702464, 759375/758912]
> 3.48944, .903810, 1.71661
>
>
> Thrush
> [1, 3, 5, 2, 2, -4, -1, -5, -10, -8]
> [126/125, 3168/3125]
> 3.52591, 21.0198, .489620
>
>
> 58&72&152
> [6, 0, 6, -10, 2, 10, 1, 10, -1, -17]
> [118098/117649, 540/539]
> 3.61398, 4.40855, .923580
>
>
> 270&342&463
> [10, -4, -12, -16, -23, -10, 12, 26, 4, -14]
> [420175/419904, 181575625/181398528]
> 3.67197, .788430, 1.85035
>
>
> 22&270&342
> [10, -4, 6, -16, 4, 8, 12, 27, -18, -48]
> [420175/419904, 41503/41472]
> 3.67922, 1.01194, 1.67587
>
>
> 130&342&494
> [8, 6, 14, -18, -2, 30, -20, -8, 29, 13]
> [2460375/2458624, 759375/758912]
> 3.80141, .709110, 1.95746
>
>
> Minera
> [1, 2, 4, -2, -2, 4, -5, -9, 2, 8]
> [225/224, 5632/5625]
> 3.81064, 28.3049, .448390
>
>
> 31&152&270
> [1, 10, 4, -1, -2, -16, -22, -9, -2, -35]
> [29360128/29296875, 5632/5625]
> 3.90462, 2.18407, 1.26161
>
>
> Zeus
> [2, -3, 1, -1, -1, 2, 11, 3, -10, 4]
> [6144/6125, 385/384]
> 3.99882, 22.5390, .500720
>
>
> Guanyin
> [3, -1, 5, -3, -3, 6, 6, -6, -8, 12]
> [1728/1715, 540/539]
> 4.11252, 15.8856, .582430
>
>
> Varuna
> [2, 4, 6, 8, 12, 0, 9, 12, -3, -6]
> [321489/320000, 8019/8000]
> 4.18714, 5.71674, .882890
>
>
> 217&270&342
> [2, -8, 12, -14, 17, 16, 2, 6, -36, -59]
> [4375/4374, 15625959723/15625000000]
> 4.37207, .994320, 1.80827
>
>
> Ares
> [1, 0, 2, 2, 2, -4, 6, 2, -12, -8]
> [64/63, 100/99]
> 4.68874, 45.3338, .403510
>
>
> Starling+
> [1, 3, 2, 2, 2, 2, -1, 2, 8, 6]
> [126/125, 100/99]
> 4.80188, 65.5914, .351420
>
>
> 31&270&494
> [7, -6, -10, -1, -11, 8, 32, 30, 20, 46]
> [12884901888/12867859375, 2359296/2358125]
> 4.89428, 1.12874, 1.79820
>
>
> Loki
> [2, 6, 8, -8, -4, 20, -21, -18, 30, 30]
> [102760448/102515625, 5632/5625]
> 4.92550, 1.84501, 1.48109
>
>
> Agni
> [4, 2, -6, -1, -3, -3, 5, 23, 19, -2]
> [2401/2400, 385/384]
> 4.93790, 6.66296, .887050
>
>
> Spectacle
> [2, 4, 0, -4, -5, -10, -10, -1, -2, -23]
> [225/224, 243/242]
> 4.98669, 12.0777, .701990
>
>
> 130&270&494
> [6, -2, 4, 6, 18, -10, 31, 40, -34, -53]
> [2147483648/2144153025, 131072/130977]
> 4.98842, .893030, 1.98994
>
>
> 72&87&152
> [3, 12, 3, 11, 1, -7, -2, 5, 22, 19]
> [244140625/243045684, 6250/6237]
> 4.99646, 3.12288, 1.20682
>

--- In tuning-math@yahoogroups.com, "rick" <rick_ballan@...> wrote:
>
> Well I would definitely exclude Dionysis. Perhaps Hades?

I've heard no objections, so I'll call this Hades:

58&72&152
[6, 0, 6, -10, 2, 10, 1, 10, -1, -17]
[118098/117649, 540/539]
3.61398, 4.40855, .923580

genewardsmith wrote:
> Below I give a name, when I know one, a wedgie, and a normal comma
> list as identifiers to these. The evaluations different measures give
> for these temperaments is rather variable, so I thought it worthwhile
> to do another search using the RMS wedgie measures. I generated
> candidates both from pairs of commas and triples of patent vals, and
> used a maximum badness of 0.0005, error 0f 0.01, and complexity of 2.
> It seems to me the 58&72&152 temperament is not so complex as to be
> undeserving of a name--does anyone have a favorite deity to suggest?

Amaterasu?