The affect of material, diameter and density on strings.
If the string material is the same, a smaller diameter string requires less tension at identical pitches.
If the diameter is the same, a denser material requires less tension at identical pitches.
Depending on how much smaller in diameter and the density of the material. A denser material and smaller diameter requires more or less tension.
Here are a few links for additional information:
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[ UL0 ] STRING_MATERIAL.PHP | Updated: Sunday, 09th June, 2013 @ 10:02pm