Some sources of raw data:
http://www.umsl.edu/~chickosj/JSCPUBS/mp.pdfhttp://www.chemicalland21.com/info/Alkane%20Compound%20Boiling%20Points.htmhttp://www.maa.org/joma/Volume8/Burch/bpdata.xlsFrom the data I parsed, branching has a limited effect on boiling point, but a huge one on melting, and this is the key to a wide liquid range.
I believe to understand - until seeing contradictory examples - that branching prevents easy stacking of molecules, and proper stacking with many contact points gives a strong intermolecular bond hence a higher melting point.
In the case of almost linear linear with a few small branches like methyl, the melting point seems to be linked with the length of the free straight tail, hence your 2-methylpentane stays solid at a higher temperature than 2,4-dimethylbutane.
For instance, 2,4,6-trimethyl-tridecane is liquid between -100°C and +250°C approximately, hence I like it as a rocket fuel that won't freeze on Mars and has a huge flash point.
At least one long straight tail also lowers the autoignition temperature, useful for a quick flame (hence heptane burns quickly and iso-octane slowly). I suppose autoignition before boiling further helps quiet burning.
Methyl groups lower the heat of formation; ethyl ramifications would be better for a fuel.