103169 etc.

Part of my plan for fixing my minimax calculations involves using
rational arithmetic, so I'm interested in ets in other limits which correspond, more or less, to 103169 in the 7-limit. This isn't an actual requirement, but it seems better style.

If anyone has done similar computations this far out in the 11 and 13 limits, could you post the results here? I'll defend you from the charge that such computations are useless by way of payment.

Probably only of marginal help, but it took quite some time to run on
my PC:

1200.0000 cents divided by 103169, step = 0.0116 cents
Nearest to 5/4 : 33213, 386.3137 cents, diff. 0.000378 steps, 0.0000
cents
Nearest to 3/2 : 60350, 701.9550 cents, diff. 0.003763 steps, 0.0000
cents
Nearest to 7/4 : 83294, 968.8259 cents, diff. 0.000046 steps, 0.0000
cents
Nearest to 11/8 : 47399, 551.3168 cents, diff. -0.100663 steps, -0.0012
cents
Nearest to 13/8 : 72264, 840.5316 cents, diff. 0.334719 steps, 0.0039
cents
Misfit numbers M1-M5 : 0.0000 0.0000 0.0000 0.0000 0.0000
Relative errors R1-R5 : 1.505 0.828 0.558 10.485 35.166 % of
average
Combined error factor : 0.0000 (3 - 7)
Combined error factor : 0.0028 (3 - 15)
Highest harmonic represented consistently : 16
highest error 13/11 : 24865, diff. 0.435382 steps, 0.0051 cents, level
1
Highest harmonic represented uniquely : 398
highest error 109/86 : 35276, diff. 0.499875 steps, 0.0058 cents, level
1
Highest harm. represented uniquely inv. equiv.: 396
highest error 109/86 : 35276, diff. 0.499875 steps, 0.0058 cents, level
1
Consistency levels : 3: 132 5: 132 7: 132 9: 66 11: 4 13: 1 15: 1
Diameters : 3: 51584 5: 229 7: 44 9: 31 11: 15 13: 11 15: 11
Consistency 16 region : 103168.89683 - 103169.15475 tones/octave
Number of possible Pythagorean generators : 91840
Pyth. maj. third : 35062, 407.8202 cents, diff. 1849.000 steps, 21.5065
cents
Pyth. dim. fourth : 33045, 384.3596 cents, diff. -167.9996 steps, -1.9541
cents
Basic fifth : 60182, 700.0010 cents, diff. -167.9962 steps, -1.9540
cents,
-0.09086 syntonic commas ( 1/11 ), -0.08329 Pythagorean commas ( 1/12 )
Basic Pyth. third : 34390, 400.0039 cents, diff. 1177.000 steps, 13.6902
cents
Number of recognisable fifths : 2948
Number of recognisable thirds : 8597
Best Pyth. comma : 2017, Basic Pyth. comma : 1
Best diesis : 3530, Basic diesis : 2
Syntonic comma : 1849, Basic syntonic comma : 1177
Diaschisma : 1681, Schisma : 168
Diatonic semitone : 9606, Chromatic semitone : 7925
Minor tone : 15682,Minor chroma : 6076
Pythagorean limma : 7757, Apotome : 9774, Pyth. whole tone :
17531
R = W / H : 2.260023 = 17531/7757
Basic R : 2.000116 = 17195/8597
Hyperoche : 11791,Eschatum :-13808
Kleisma : 697, Wuerschmidt comma : 984
Septimal kleisma : 663, Septimal comma : 2344
Septimal diesis : 4193, Harrison comma : 4361
Undecimal comma : 4580, Tridecimal comma : 5617
Basic third : 34389, 399.9922 cents, diff. 13.6785 cents
Number of cycles of basic fifths : 1 of 103169 tones
Number of cycles of best fifths : 1 of 103169 tones
Number of basic fifths in basic third : 103161 or -8
Number of basic fifths in best third : 89049 or -14120
Number of best fifths in basic third : 64909 or -38260
Number of best fifths in best third : 46795 or -56374
Number of basic fifths in best seventh : 71007 or -32162
Number of best fifths in best seventh : 10214 or -92955
Number of basic fifths in best sixth : 87032 or -16137
Number of best fifths in best sixth : 46794 or -56375
Number of basic thirds in best seventh : 81397 or -21772
Number of best thirds in best seventh : 81120 or -22049
Number of cycles of basic thirds : 1 of 103169 tones
Number of cycles of best thirds : 1 of 103169 tones
Number of basic thirds in basic fifth : 12896 or -90273
Number of basic thirds in best fifth : 12644 or -90525
Number of best thirds in basic fifth : 81315 or -21854
Number of best thirds in best fifth : 76814 or -26355
Number of cycles of best sevenths : 1 of 103169 tones
Number of best sevenths in basic fifth : 102922 or -247
Number of best sevenths in best fifth : 17646 or -85523
Number of best sevenths in basic third : 1976 or -101193
Number of best sevenths in best third : 83063 or -20106
Embedded divisions: 11 83 113 913 1243 9379

Manuel