In this paper , we derive the period-luminosity ( PL ) relation for Galactic Cepheids with recent independent distance measurements from open cluster , Barnes-Evans surface brightness , interferometry and HST astrometry techniques .
Our PL relation confirms the results of Tammann et al .
( 2003 ) , which showed that the Galactic Cepheids follow a different PL relation to their LMC counterparts .
Our results also show that the slope of the Galactic PL relation is inconsistent with the LMC slope with more than 95 % confidence level .
We apply this Galactic PL relation to find the distance to NGC 4258 .
Our result of \mu _ { o } = 29.49 \pm 0.06 ( random error ) mag . agrees at the \sim 1.4 \sigma level with the geometrical distance of \mu _ { geo } = 29.28 \pm 0.15 mag . from water maser measurements .