D3 Non-Continuous Dates Domain Gives Gaps on X-Axis

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As Lars Kotthof points out, you can create an ordinal x axis, which “looks” like a time scale.
Assuming you want to plot your time series as a line, here is an example how to do it: http://jsfiddle.net/ee2todev/3Lu46oqg/

If you want to customize your format for the dates, e.g. respresent the date as day (of the week), day and month you have to convert your string to a date first.
I added one example which formats the dates in a common German format. But you can easily adjust the code to your needs.
http://jsfiddle.net/ee2todev/phLbk0hf/

Last, but not least, you can use 

axis.tickValues([values])

to choose the dates you want to display. See also:
https://github.com/mbostock/d3/wiki/SVG-Axes#tickFormat

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