Hazard of Accutuner ( Have I ruined my new bass strings ?)

[Hrschm@AOL.COM]

        Recently I replaced the bass strings on a small grand . I used my
accutuner to tune them starting on the lowest bass note. The accutuner showed
the note to be in tune and I continued up thru the rest of the bass using both
the machine and my ear to guide me thru this rough tuning. When I got to the
end of the wound strings I played a few chords and found I had tuned all the
wound strings two half steps sharp!  The accutuner must have caught onto a
higher partial that stoped the lights and I continued this error all the way
up.  My concern is that by overpulling the strings to this degree I have
damaged them . I have been told that one should avoid too much overpull on the
bass strings because it can loosen the windings. If a small degree of overpull
done in connection with a pitch raise can be harmful , what would a full step
overpull do . The strings sound O.K. now but could there be damage that may
show up later?   Thanks for any ideas anyone may have.   
                              Russell Schmidt   R.P.T.    Lexington, KY.