Yahoo Tuning Groups Ultimate Backup tuning-math Weighted Euclidean badness comma list

After pulling together various lists I have around, and then computing

EucBadness(q) = ce(q) * EucWeighted(q) ^ primelim(q)

where "primelim" means pi of the largest prime appearing in the
factorization of q, I got the following list of commas < 600 cents
with badness figures under a million. It probably isn't missing a
huge amount, but it probably is missing some.

1: 4/3 1251.141895
2: 9/8 2048.974260
3: 16/15 3755.769046
4: 6/5 3951.300913
5: 81/80 4555.958227
6: 5/4 4836.001478
7: 32805/32768 4966.521931
8: 256/243 5666.369115
9: 25/24 5877.668856
10: 10/9 6131.373269
11: 32/27 6650.084967
12: 2401/2400 7506.626589
13: 225/224 8776.921827
14: 4375/4374 9009.021909
15: 21/20 9124.287993
16: 15/14 12902.412600
17: 9801/9800 13398.753514
18: 128/125 13877.682064
19: 8/7 14359.140728
20: 64/63 14364.919274
21: 2048/2025 14480.354095
22: 250047/250000 14791.774278
23: 81/64 16391.794082
24: 7/6 16576.411445
25: 36/35 16988.807508
26: 135/128 19527.421489
27: 15625/15552 19828.543055
28: 27/25 20917.254326
29: 126/125 22325.449831
30: 3025/3024 25474.833158
31: 123201/123200 27223.141137
32: 78125000/78121827 27565.103069
33: 49/48 30047.651441
34: 250/243 31071.711274
35: 28/27 33172.874717
36: 441/440 34476.564936
37: 50/49 34759.588650
38: 7/5 36182.144902
39: 56/55 39164.030988
40: 3125/3072 41254.844120
41: 385/384 42439.963609
42: 32/25 42799.917619
43: 75/64 43107.287852
44: |161 -84 -12> 46859.713009
45: 27/20 48096.535965
46: 1600000/1594323 48499.746596
47: 648/625 50125.503677
48: |-53 10 16> 52209.982851
49: 35/32 54041.757953
50: 45/32 54638.910114
51: |54 -37 2> 54794.478531
52: 1029/1024 55299.212001
53: 5120/5103 55656.325249
54: 6144/6125 56166.717335
55: 25/18 56955.126653
56: |-90 -15 49> 59160.004488
57: 2109375/2097152 62947.180132
58: 33/32 63403.062063
59: 176/175 64233.715673
60: 22/21 64253.980866
61: 3294225/3294172 64396.417193
62: |38 -2 -15> 64769.826679
63: 393216/390625 67821.515803
64: 28/25 68344.312536
65: 144/125 70277.109862
66: 100/99 70738.377236
67: 2080/2079 71808.485674
68: 9/7 72463.578364
69: 78732/78125 72918.999468
70: 12/11 74637.241318
71: 245/243 75248.988639
72: 540/539 75336.228733
73: 151263/151250 76677.954678
74: 3136/3125 76847.700261
75: 20000/19683 77827.230460
76: 21/16 78408.908858
77: 4000/3969 81620.521774
78: 11/10 81755.847755
79: 65625/65536 82340.390367
80: 125/108 85538.427794
81: 45/44 88483.972421
82: 875/864 92653.270691
83: 1728/1715 94368.229597
84: 6115295232/6103515625 95606.520050
85: 420175/419904 95632.115362
86: |-573 237 85> 97886.282347
87: 100/81 98101.972305
88: |1 -27 18> 98633.666974
89: |-15 -3 7 -5 4 1> 103231.233074
90: 703125/702464 103430.363374
91: 2460375/2458624 104226.084119
92: 25/21 105146.039156
93: |-10 10 -6 5 -6 4> 107385.654505
94: 99/98 107918.566820
95: 525/512 109729.925539
96: 645700815/645657712 110903.635032
97: 200/189 111467.108291
98: 56/45 121710.355257
99: 35/33 127892.469546
100: 4060088955/4060086272 130939.376099
101: 80/63 132954.068590
102: 4225/4224 141344.145188
103: 10976/10935 142054.481904
104: 160/147 142424.569125
105: 48/35 142654.178557
106: 49/45 143124.714872
107: 4096/4095 149707.591326
108: 1224440064/1220703125 154044.556605
109: 80/77 156066.563002
110: 686/675 158346.799857
111: 55/54 160361.770767
112: 67110351/67108864 160755.605207
113: 10648/10647 166154.746083
114: 121/120 168972.130610
115: 256/245 172993.345254
116: 5767168/5767125 173091.170282
117: 405/392 178895.896630
118: 1323/1280 181180.154495
119: 3955078125/3954653486 183595.832692
120: 184528125/184473632 183695.153768
121: 66/65 183726.749796
122: 160083/160000 184988.526779
123: 40/39 186533.979519
124: 1375/1372 186851.604764
125: 896/891 190372.730599
126: |-16 35 -17> 192187.882498
127: 192/175 198925.953296
128: |37 25 -33> 205526.257961
129: 14/11 206865.714049
130: |-107 47 14> 207930.704378
131: 392/375 213360.722204
132: |71 -99 37> 214576.737906
133: 5250987/5242880 218450.789215
134: 6576668672/6576582375 219888.485245
135: 78/77 224327.269947
136: 63/50 224512.328824
137: 5632/5625 225045.280343
138: 33/28 226937.264957
139: 77/75 229156.793809
140: 105/104 232150.957845
141: 352/351 235629.638232
142: 60/49 239459.392896
143: 49/40 239951.946057
144: |-14 -19 19> 241751.892199
145: 52734375/52706752 246131.126502
146: 16875/16807 253782.623961
147: 54/49 256656.991248
148: 19683/19600 257745.404391
149: |-17 62 -35> 258568.471147
150: 33075/32768 262074.458322
151: 40/33 265706.271606
152: 1029/1000 266953.394937
153: 781258401/781250000 267881.710936
154: 4882812500/4882786447 269498.770718
155: 11/8 273165.519274
156: 6656/6655 273398.386856
157: |-251 69 61> 277841.533954
158: |-24 -1 -2 12 -1> 280975.696790
159: 3645/3584 282426.527173
160: 75/56 283794.471107
161: |-22 -1 11 3 -3> 289111.867288
162: 196/195 289301.039197
163: 43923/43904 294284.553618
164: 360/343 302979.532540
165: 321489/320000 306348.444581
166: 125/112 307682.490413
167: 364/363 308039.414949
168: |1 -26 0 2 10> 308121.129768
169: 35/27 308406.194259
170: 2100875/2097152 327187.261414
171: 14/13 329412.987037
172: 3125/3087 330128.788824
173: 43046721/43025920 333502.147852
174: 175/162 337805.525359
175: 1716/1715 339409.195483
176: 3200/3087 352165.680122
177: 13/12 355793.130738
178: 147/128 365588.239771
179: 1990656/1990625 367843.201360
180: 14348907/14336000 369614.729467
181: 2430/2401 379071.428969
182: 81/70 379626.731386
183: 194481/194480 382899.522884
184: 1617/1600 383004.369569
185: 4000/3993 386755.120238
186: 351/350 387120.635006
187: 41503/41472 393455.964497
188: 65/64 393571.524326
189: 1001/1000 398044.438547
190: 131072/130977 404815.155760
191: 589824/588245 407555.773397
192: 11/9 413469.312670
193: |91 -12 -31> 424793.000833
194: 275/273 428104.489018
195: 15/11 428389.555696
196: 55/48 434259.727362
197: 343/320 434734.027709
198: 2835/2816 437422.135710
199: 245/242 441598.533042
200: 64/49 459492.503309
201: 8019/8000 459620.021692
202: 77/72 470666.379010
203: 91/90 470847.280019
204: 2240/2187 470962.907935
205: 243/224 476171.927221
206: 243/242 483307.327327
207: |144 -22 -47> 483864.929371
208: 112/99 485788.988170
209: 5103/5000 489828.459983
210: 200704/200475 491982.886095
211: 5625/5488 493938.649938
212: 2560/2541 496625.713699
213: 44/35 497397.435803
214: |7 -5 3 -9 -3 8> 501471.126289
215: 729/700 513106.345864
216: 49/36 530445.166252
217: 1875/1792 535129.884072
218: 117649/117612 535878.540906
219: 100663296/100656875 537867.105130
220: 25/22 546350.140265
221: 625/588 549867.190779
222: 6250/6237 552751.325431
223: |25 -12 -1 -5 3> 554999.463021
224: 63/55 557272.164464
225: 715/714 559105.951455
226: |-36 -52 51> 571426.728721
227: 3388/3375 572049.624243
228: 672/625 572830.471691
229: 1815/1792 573194.502691
230: 50421/50000 577988.923919
231: 91/88 582796.097768
232: 180224/180075 584493.096874
233: |-52 -17 34> 584816.213012
234: 55/42 586125.874361
235: 31104/30625 591365.392704
236: 65536/64827 602392.739919
237: 297/280 611233.774899
238: 12376/12375 616722.997959
239: 15488/15435 629602.029694
240: 2097152/2096325 635832.385377
241: 496125/495616 637898.190381
242: |-412 153 73> 638426.496759
243: 144/143 642775.654710
244: 343/324 646967.262416
245: 16384/16335 647084.920228
246: 64/55 647712.777352
247: 390625/388962 658659.271108
248: 3125/3024 665534.905771
249: 55/52 674973.258005
250: 50193/50176 680036.958535
251: 67392/67375 682456.282435
252: 35937/35840 688420.429875
253: 1771561/1771470 688852.686807
254: 759375/758912 701111.878988
255: 512/495 702510.830385
256: 936/935 714124.574759
257: 105/88 724788.387402
258: 235298/234375 725317.001494
259: 199297406/199290375 725536.564241
260: 196625/196608 735193.107168
261: |-28 3 2 -2 7> 736628.956009
262: 21437500/21434787 738917.459385
263: 13/11 742562.283467
264: 4375/4356 747125.753973
265: 49/44 754522.803258
266: 65/63 758173.890782
267: 288/275 773830.765405
268: 561/560 805104.826681
269: 226492416/226474325 805887.611994
270: 55/49 809779.518296
271: 42592/42525 811923.691136
272: 102487/102400 816610.528935
273: 5488/5445 818177.784120
274: 172032/171875 823233.364810
275: 375/343 832919.930533
276: 99/80 839027.061090
277: 2359296/2358125 840213.572606
278: 14348907/14348180 857464.623361
279: 1120/1089 860650.652758
280: 189/176 867314.131128
281: 1664000/1663893 870371.770684
282: 98/81 878939.715179
283: 820125/819896 879555.599109
284: |5 -15 8 5 -4> 881718.913776
285: |140 -374 195> 884526.005295
286: 8748/8575 885401.100221
287: 44/39 888750.661888
288: 273/272 897776.537156
289: 2079/2048 900037.216366
290: 1375/1344 904516.478092
291: 320/297 907791.582135
292: 35156250/35153041 915917.011625
293: 4125/4096 918480.639672
294: 16/13 922965.524358
295: 325/324 941439.933792
296: 126/121 952968.345050
297: |-24 1 13 -4 1> 959108.725686
298: 184549376/184528125 962338.157612
299: 143/140 966232.349974
300: 336141/336140 968039.327965
301: 118098/117649 973467.406384
302: 275/252 984605.310114
303: 47265625/47258883 988906.726176
304: 26/25 995612.109355
305: 1287/1280 999802.990895

Weighted Euclidean badness comma list

🔗Gene Ward Smith <genewardsmith@coolgoose.com>

🔗Gene Ward Smith <genewardsmith@coolgoose.com>