[dataweaver]

Here's how twenty-step logST lifting compares to Basic Set ST lifting in the range of 1 to 30:

ST 1: 3548%
ST 2: 995%
ST 3: 496%
ST 4: 313%
ST 5: 225%
ST 6: 175%
ST 7: 144%
ST 8: 124%
ST 9: 110%
ST 10: 100%
ST 11: 93%
ST 12: 87%
ST 13: 84%
ST 14: 81%
ST 15: 79%
ST 16: 78%
ST 17: 77%
ST 18: 78%
ST 19: 78%
ST 20: 79%
ST 21: 80%
ST 22: 82%
ST 23: 84%
ST 24: 87%
ST 25: 90%
ST 26: 93%
ST 27: 97%
ST 28: 101%
ST 29: 106%
ST 30: 111%

There's a bubble from ST 11 to ST 27 where Basic Set ST outperforms 20-step logarithmic ST by a much as 29%; outside of that range, logarithmic ST gradually comes to vastly outperform Basic Set ST.

One of the difficulties in terms of matching damage is that the standard system is kind of weird:

ST 2=0.00 dmg
ST 4=0.16 dmg
ST 6=0.50 dmg
ST 8=1.00 dmg
ST 10=1.67 dmg
ST 12=2.5 dmg
ST 14=3.5 dmg
ST 16=4.5 dmg
ST 18=5.5 dmg
ST 20=6 dmg
ST 22=7 dmg
ST 24=8 dmg
ST 26=9 dmg
ST 28=9.5 dmg
ST 30=10.5 dmg
ST 32=11.5 dmg
ST 34=12.5 dmg
ST 36=13 dmg
ST 38=14 dmg
ST 40=15 dmg
ST 42=16 dmg

...and so on. If we were to convert these directly to WP according to the table I worked up earlier, we'd get:

ST 2=-∞ WP
ST 4=-11 WP
ST 6=-1 WP
ST 8=5 WP
ST 10=10 WP
ST 12=13 WP
ST 14=16 WP
ST 16=18 WP
ST 18=20 WP
ST 20=21 WP
ST 22=22 WP
ST 24=23 WP
ST 26=24 WP
ST 28=25 WP
ST 32=26 WP
ST 34=27 WP
ST 38=28 WP
ST 42=29 WP
ST 46=30 WP
ST 50=31 WP
ST 54=32 WP
ST 60=33 WP
ST 66=34 WP
ST 72=35 WP
ST 80=36 WP
ST 90=37 WP
ST 100=38 WP
ST 110=39 WP
ST 122=40 WP

After that, each increase in WP corresponds to an escalating increase in Basic Set ST. Not surprising, considering that WP represents a geometric growth while BS ST represents a linear growth.

Put another way, here's what you'd have to buy in Basic Set to get the rough equivalent of each of these 20-step logarithmic ST scores:

ST -30 [-400]=Lifting ST 1 [-27], Striking ST 1 [-45], 0 HP [-20]: [-92]
ST -18 [-280]=Lifting ST 2 [-27], Striking ST 2 [-40], 0 HP [-20]: [-87]
ST -16 [-260]=Lifting ST 2 [-24], Striking ST 3 [-35], 1 HP [-18]: [-77]
ST -11 [-210]=Lifting ST 3 [-21], Striking ST 4 [-30], 1 HP [-18]: [-69]
ST -6 [-160]=Lifting ST 4 [-18], Striking ST 4 [-30], 2 HP [-16]: [-64]
ST -2 [-120]=Lifting ST 5 [-15], Striking ST 5 [-25], 3 HP [-14]: [-54]
ST -1 [-110]=Lifting ST 5 [-15], Striking ST 6 [-20], 3 HP [-14]: [-49]
ST 1 [-90]=Lifting ST 6 [-12], Striking ST 6 [-20], 4 HP [-12]: [-44]
ST 4 [-60]=Lifting ST 7 [-9], Striking ST 7 [-15], 4 HP [-12]: [-36]
ST 5 [-50]=Lifting ST 7 [-9], Striking ST 8 [-10], 4 HP [-12]: [-31]
ST 6 [-40]=Lifting ST 8 [-6], Striking ST 8 [-10], 5 HP [-10]: [-26]
ST 7 [-30]=Lifting ST 8 [-6], Striking ST 8 [-10], 6 HP [-8]: [-24]
ST 8 [-20]=Lifting ST 9 [-3], Striking ST 8 [-10], 8 HP [-4]: [-17]
ST 9 [-10]=Lifting ST 9 [-3], Striking ST 9 [-5], 9 HP [-2]: [-10]
ST 10 [0]=Lifting ST 10 [0], Striking ST 10 [0], 10 HP [0]: [0]
ST 11 [10]=Lifting ST 10 [0], Striking ST 10 [0], 11 HP [2]: [2]
ST 12 [20]=Lifting ST 11 [3], Striking ST 11 [5], 13 HP [6]: [14]
ST 13 [30]=Lifting ST 12 [6], Striking ST 12 [10], 14 HP [8]: [24]
ST 14 [40]=Lifting ST 13 [9], Striking ST 12 [10], 16 HP [12]: [31]
ST 15 [50]=Lifting ST 13 [9], Striking ST 13 [15], 18 HP [16]: [40]
ST 16 [60]=Lifting ST 14 [12], Striking ST 14 [20], 20 HP [20]: [52]
ST 17 [70]=Lifting ST 15 [15], Striking ST 15 [25], 22 HP [24]: [64]
ST 18 [80]=Lifting ST 16 [18], Striking ST 16 [30], 25 HP [30]: [78]
ST 19 [90]=Lifting ST 17 [21], Striking ST 17 [35], 28 HP [36]: [92]
ST 20 [100]=Lifting ST 18 [24], Striking ST 18 [40], 32 HP [44]: [108]
ST 21 [110]=Lifting ST 19 [27], Striking ST 20 [50], 35 HP [50]: [127]
ST 22 [120]=Lifting ST 20 [30], Striking ST 22 [60], 40 HP [60]: [150]
ST 23 [130]=Lifting ST 21 [33], Striking ST 24 [70], 45 HP [70]: [173]
ST 24 [140]=Lifting ST 22 [36], Striking ST 26 [80], 50 HP [80]: [196]
ST 25 [150]=Lifting ST 23 [39], Striking ST 28 [90], 56 HP [92]: [221]
ST 26 [160]=Lifting ST 25 [45], Striking ST 32 [110], 63 HP [106]: [261]
ST 27 [170]=Lifting ST 26 [48], Striking ST 34 [120], 71 HP [122]: [290]
ST 28 [180]=Lifting ST 28 [54], Striking ST 38 [140], 79 HP [138]: [332]
ST 29 [190]=Lifting ST 30 [60], Striking ST 42 [160], 89 HP [158]: [378]
ST 30 [200]=Lifting ST 32 [66], Striking ST 46 [180], 100 HP [180]: [426]
ST 31 [210]=Lifting ST 34 [72], Striking ST 50 [200], 112 HP [204]: [476]
ST 32 [220]=Lifting ST 36 [78], Striking ST 54 [220], 126 HP [232]: [530]
ST 33 [230]=Lifting ST 38 [84], Striking ST 60 [250], 141 HP [262]: [596]
ST 34 [240]=Lifting ST 40 [90], Striking ST 66 [280], 158 HP [296]: [666]
ST 35 [250]=Lifting ST 42 [96], Striking ST 72 [310], 178 HP [336]: [742]
ST 36 [260]=Lifting ST 45 [105], Striking ST 80 [350], 200 HP [380]: [835]
ST 37 [270]=Lifting ST 47 [111], Striking ST 90 [400], 224 HP [428]: [939]
ST 38 [280]=Lifting ST 50 [120], Striking ST 100 [450], 251 HP [482]: [1052]
ST 39 [290]=Lifting ST 53 [129], Striking ST 110 [500], 281 HP [542]: [1171]
ST 40 [300]=Lifting ST 56 [138], Striking ST 122 [560], 316 HP [612]: [1310]

So between ST 10 and ST 22, there's a mild bubble where Basic Set's ST outperforms logST by the equivalent of one or two points of logST: logST 12, 13, 20, and 21 lose about 10% of their damage dealing effectiveness compared to the regular rules, while logST 14 to 19 lose about 20%. Below 10 and above 22, logST vastly outperforms Basic Set ST.

Those bubbles are unavoidable, being the result of trying to match a logarithmic progression to quadratic and semi-linear curves. With that in mind, I doubt one could do much better than that.

The drawback to this approach is that it requires re-engineering both Conditional Injury and Knowing Your Own Strength, with a comparatively minor revision to the latter and extensive revisions to the former. In both cases, the overall structure remains more or less the same (with the exception that this approach attempts to remove the standard damage rolls from CI), with the main changes being to the tables.