Controlling the frequency of dotting in a plot

Question

It is possible to make a dotted ListPlot. For example:

x = Range[0, 1, 0.0001];
y = Sin[x];
ListPlot[Transpose[{x, y}], PlotRange -> All, Joined -> True, PlotStyle -> Dotted]

Is it possible to modify the frequency (i.e., spacing) of dotting?

Answer 1

It is indeed. As the documentation states, Dotted is equivalent to Dashing[{0, Small}]:

So for example

x = Range[0, 1, 0.0001];
y = Sin[x];
Table[ListPlot[Transpose[{x, y}], PlotRange -> All, Joined -> True, 
 PlotStyle -> Dashing[{0, d}]], {d, 0.01, 0.1, 0.01}]

Answer 2

x = Range[0, 2 Pi, 0.01];
y = Sin[x];
Framed@
  ListPlot[(Transpose[{x, y + #}]) & /@ #, 
    PlotRange -> All, 
    Joined -> True, 
    PlotStyle -> (AbsoluteDashing[{#, 15 - #}] & /@ #), 
    Axes -> {False, True}] &@{3, 8, 12}