Mic Stand Mount size for Perform VG

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I just purchased a Perform VG and tried to attach it to my mic stand.  I think it must only fit  the upper portion of the mic stand, but this still seems to be too large.  Mine, and most I have found are 5/8" diameter.  I have an older one that has an upper tube of 1/2".  This seems to fit well.  


So which size should it best fit?  Will I break this if I try to attach it to the 5/8" tube?