[quote name='JapanAxe' timestamp='1396640293' post='2416043']
Possibly a bit more to it than that. Tension is mainly carried by the core, so a narrower core with chunkier windings can have the same mass as, but less tension than, a string of the same external gauge.
[/quote]
If the mass is the same then the construction of the string makes no difference at all to tension which is fixed by length. pitch and string mass per unit length.
Different constructions do make a difference to tension if the mass is different.
However, even when the mass is the same there can be differences in compliance (sometimes called elasticity) : [url="http://liutaiomottola.com/myth/perception.htm"]http://liutaiomottola.com/myth/perception.htm[/url]