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As I understand it the range the spell can be cast doesn't change, only your target. You are in essence making a touch attack on yourself, which you allow to happen.
Another question then, if you apply reach spell to a spell with a range of touch and then cast that spell on yourself can you persist the spell or does the reached spell have to be cast on a target other than you to qualify as having a "fixed range"?
Touch spells affected by the Reach spell metamagic feat are eligible for persisting.
Target and Range entries are separate, very general features of a spell. Every spell whose Range entry is either 'personal', or gives a fixed amount of feet, is eligible for persisting. This is true regardless of what target you choose to cast the spell at.