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    $\begingroup$ This may be a duplicate of (8241). That one deals with the y axis but at first glance I believe the methods given can be applied here. $\endgroup$ Commented Jan 3, 2015 at 7:51
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    $\begingroup$ This may be true; unfortunately I can't even read (parse) the code there to understand whether the undesired y-interval is being rescaled or removed altogether--the emphasis in that question is to suppress an interval but show y-ranges on either side of the suppressed interval at the same scale. Here I don't want to suppress any interval, just stretch one part of the domain relative to the rest (different scales). If those methods can be used here, I'm afraid I need a little more hand-holding to get there. $\endgroup$ Commented Jan 3, 2015 at 17:59
  • $\begingroup$ I agree. If I understand you may be able to accomplish this by creating multiple plots and (hopefully seamlessly) joining them together, therefore also see: (6877). (You would want to turn off the Frame on the joined edges.) If I have time later I may attempt an implementation. $\endgroup$ Commented Jan 4, 2015 at 3:09
  • $\begingroup$ I agree two joined plots should work. Unfortunately the code in #6877 uses no commands I know. I don't even know what @ means here. Another possibility might be the approach used in mathematica.stackexchange.com/questions/66354/… to transform the axes (in this case just the x-axis). $\endgroup$ Commented Jan 5, 2015 at 4:17
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    $\begingroup$ FYI to all, I finally achieved what I was looking for, in a manual, kludgy, non-generalizable way, by defining a transform function (in this case, f[x_] = Min[40 x/3, 80 (x - 1/4)/129 + 10/3], piecewise linear with slope change at x=1/4), using it to transform the list's x coordinates, ListPlotting the transformed list, and using FrameTicks to specify tick labels which are the inverse transforms of the apparent labels (e.g., I told it to place a tick at f[1] and label it 1). I also used FrameTicks to place a dotted vertical line at f[1/4] (labeled 1/4) to mark where the scale changes. $\endgroup$ Commented Jan 5, 2015 at 5:25