A comma list example

Using heuristics, I came up with the following list of 11-limit commas:

slz := [36/35, 77/75, 128/125, 45/44, 49/48, 50/49, 55/54, 56/55, 64/63, 81/80, 245/242, 99/98, 100/99, 121/120, 245/243, 126/125, 1331/1323, 176/175, 896/891, 1029/1024, 225/224, 243/242, 3388/3375, 3136/3125, 5120/5103, 6144/6125,385/384, 8019/8000, 441/440, 1375/1372, 12005/11979, 6250/6237, 540/539, 4000/3993, 19712/19683, 5632/5625, 32805/32768, 172032/171875, 102487/102400, 180224/180075, 41503/41472, 131072/130977, 420175/419904, 160083/160000, 234375/234256, 43923/43904, 2401/2400, 2097152/2096325,2657205/2656192, 3025/3024, 117649/117612, 820125/819896, 4375/4374, 56953125/56942116, 250047/250000, 1771875/1771561, 47265625/47258883, 246071287/246037500, 21437500/21434787, 184549376/184528125, 369140625/369098752, 9801/9800, 35156250/35153041, 151263/151250, 226492416/226474325, 214375000/214358881, 645700815/645657712, 100663296/100656875, 15625959723/15625000000, 1771561/1771470, 14348907/14348180, 78125000/78121827, 13153840425/13153337344, 199297406/199290375, 26795786661/26794860125, 44660948992/44659644435, 40283203125/40282095616, 210087500000/210082347387,67110351/67108864, 3294225/3294172, 6576668672/6576582375, 16748046875/16747855872, 781258401/781250000, 13841287201/13841203200, 4882812500/4882786447, 2541867610898/2541865828329]

There are 86 of these, and hence 102340 combinations taken three at a time. This leads to 44581 wedgies. If we limit it by filtering out
all complexities greater than 300, we can reduce this to 15382 candidates, although this removes most of the rationale for including so many very small commas in the original list.

Possibly the thing to do is to band-limit the wedge products, so that the smallest comma is not too much smaller than the largest comma. Of course, the more filters we introduce before testing for badness, the more likely it becomes we are missing something of interest.