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45 temperaments in kees badness order

🔗Gene Ward Smith <gwsmith@svpal.org>

9/5/2005 6:57:17 PM

Here is the same boring old list of 45 7-limit linear temperaments I
keep reusing, this time sorted in terms of increasing badness, using
the weighted kees error and rank two temperament complexity.

1 Ennealimmal [18, 27, 18, 1, -22, -34]
bad=9.837194 comp=11.628267 err=.072751

2 Meantone [1, 4, 10, 4, 13, 12]
bad=43.041942 comp=3.562072 err=3.392239

3 Magic [5, 1, 12, -10, 5, 25]
bad=46.605784 comp=4.274486 err=2.550774

4 Augie [3, 0, 6, -7, 1, 14]
bad=53.635139 comp=2.137243 err=11.741986

5 Pajara [2, -4, -4, -11, -12, 2]
bad=55.488162 comp=2.984566 err=6.229283

6 Dominant seventh [1, 4, -2, 4, -6, -16]
bad=56.808710 comp=2.435121 err=9.580187

7 Garibaldi [1, -8, -14, -15, -25, -10]
bad=57.585997 comp=5.617830 err=1.824650

8 Miracle [6, -7, -2, -25, -20, 15]
bad=58.330880 comp=6.800314 err=1.261364

9 Orwell [7, -3, 8, -21, -7, 27]
bad=61.683344 comp=5.708538 err=1.892858

10 Hemiwuerschmidt [16, 2, 5, -34, -37, 6]
bad=62.789934 comp=10.094876 err=.616152

11 Catakleismic [6, 5, 22, -6, 18, 37]
bad=65.847492 comp=7.836558 err=1.072231

12 Blackwood [0, 5, 0, 8, 0, -14]
bad=67.371706 comp=2.153383 err=14.528978

13 Sensi [7, 9, 13, -2, 1, 5]
bad=69.160426 comp=4.630693 err=3.225266

14 Hemififths [2, 25, 13, 35, 15, -40]
bad=69.491405 comp=10.766914 err=.599444

15 Amity [5, 13, -17, 9, -41, -76]
bad=75.020313 comp=11.654317 err=.552338

16 Diminished [4, 4, 4, -3, -5, -2]
bad=75.161293 comp=2.523719 err=11.800822

17 Injera [2, 8, 8, 8, 7, -4]
bad=84.933829 comp=3.445412 err=7.154813

18 Godzilla [2, 8, 1, 8, -4, -20]
bad=86.839160 comp=3.445412 err=7.315317

19 Waage [0, 12, 24, 19, 38, 22]
bad=90.147939 comp=8.548972 err=1.233468

20 Wizard [12, -2, 20, -31, -2, 52]
bad=90.907837 comp=8.432510 err=1.278461

21 Kemun [6, 5, 3, -6, -12, -7]
bad=91.110123 comp=3.785579 err=6.357731

22 Negri [4, -3, 2, -14, -8, 13]
bad=92.568162 comp=3.815749 err=6.357731

23 Myna [10, 9, 7, -9, -17, -9]
bad=93.362806 comp=6.309298 err=2.345373

24 Valentine [9, 5, -3, -13, -30, -21]
bad=95.593383 comp=6.746989 err=2.099944

25 Augmented [3, 0, -6, -7, -18, -14]
bad=95.731292 comp=4.030032 err=5.894363

26 Decimal [4, 2, 2, -6, -8, -1]
bad=96.928891 comp=2.523719 err=15.218479

27 Superpyth [1, 9, -2, 12, -6, -30]
bad=101.427469 comp=4.588503 err=4.817408

28 Mothra [3, 12, -1, 12, -10, -36]
bad=103.524964 comp=5.524326 err=3.392239

29 Rodan [3, 17, -1, 20, -10, -50]
bad=105.454456 comp=7.677709 err=1.788964

30 Porcupine [3, 5, -6, 1, -18, -28]
bad=114.213751 comp=4.290626 err=6.204076

31 Octacot [8, 18, 11, 10, -5, -25]
bad=116.529467 comp=7.752178 err=1.939047

32 Hemithirds [15, -2, -5, -38, -50, -6]
bad=121.280501 comp=11.244982 err=.959121

33 Flattone [1, 4, -9, 4, -17, -32]
bad=122.963447 comp=4.928571 err=5.062138

34 Diaschismic [2, -4, -16, -11, -31, -26]
bad=122.980210 comp=6.961175 err=2.537875

35 Superkleismic [9, 10, -3, -5, -30, -35]
bad=124.761866 comp=6.746989 err=2.740702

36 Tritonic [5, -11, -12, -29, -33, 3]
bad=127.352977 comp=7.892091 err=2.044678

37 Hemikleismic [12, 10, -9, -12, -48, -49]
bad=136.831362 comp=10.777022 err=1.178116

38 Beatles [2, -9, -4, -19, -12, 16]
bad=153.262386 comp=5.137949 err=5.805720

39 Shrutar [4, -8, 14, -22, 11, 55]
bad=153.598364 comp=8.432313 err=2.160196

40 Squares [4, 16, 9, 16, 3, -24]
bad=161.075296 comp=6.890825 err=3.392239

41 Doublewide [8, 6, 6, -9, -13, -3]
bad=166.738563 comp=5.047438 err=6.544765

42 Hexadecimal [1, -3, 5, -7, 5, 20]
bad=167.964294 comp=3.073066 err=17.785796

43 Slender [13, -10, 6, -46, -27, 42]
bad=177.481309 comp=12.508852 err=1.134273

44 Semififths [2, 8, -11, 8, -23, -48]
bad=183.940635 comp=7.363692 err=3.392239

45 Muggles [5, 1, -7, -10, -25, -19]
bad=200.324009 comp=5.648099 err=6.279548