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Convex hull of Paul's 32 in log(err)log(comp) plane

🔗Gene Ward Smith <gwsmith@svpal.org>

2/4/2004 1:42:44 AM

Here's the convex hull; one way to do a cutoff is simply to use it for
that purpose; but we could find a smooth function which worked like it.

Beep
[2, 3, 1, 0, -4, -6] [4.729523732, 14.17610523]

{21/20, 28/27}
[1, 4, 3, 4, 2, -4] [5.572287934, 14.25364200]

Blackwood
[0, 5, 0, 8, 0, -14] [6.474937224, 7.239629324]

Dominant seventh
[1, 4, -2, 4, -6, -16] [7.955968622, 4.771049000]

Meantone
[1, 4, 10, 4, 13, 12] [11.76517777, 1.698521000]

Miracle
[6, -7, -2, -25, -20, 15] [21.10188070, .6310140000]

Hemiwuerschmidt
[16, 2, 5, -34, -37, 6] [31.21187526, .3079970486]

Parakleismic
[13, 14, 35, -8, 19, 42] [39.58593953, .2619341054]

Ennealimmal
[18, 27, 18, 1, -22, -34] [39.82871923, .3637700000e-1]

🔗Gene Ward Smith <gwsmith@svpal.org>

2/4/2004 1:59:16 AM

Sorry, that was was in the err-comp plane, not the logs. That's
interesting also, but a whole other story.

Hemiforths
[2, 8, 1, 8, -4, -20] [2.416311999, 1.299876081]

Injera
[2, 8, 8, 8, 7, -4] [2.478014205, 1.276118547]

Superpythagorean
[1, 9, -2, 12, -6, -30] [2.669372146, .8770838286]

Magic
[5, 1, 12, -10, 5, 25] [2.743162410, .2443130871]

Catakleismic
[6, 5, 22, -6, 18, 37] [3.223959018, -.6229571593]

Amity
[5, 13, -17, 9, -41, -76] [3.640951092, -1.286970429]