The  certificate  of  incorporation or the by-laws may provide, either
  absolutely or contingently, that the members of any class shall  not  be
  entitled  to  vote,  or  it  may limit or define the matters on, and the
  circumstances in, which a member or a class of members shall be entitled
  to vote, and,  except  as  otherwise  provided  in  this  chapter,  such
  provisions  of  the  certificate  of  incorporation or the by-laws shall
  prevail,  according  to  their  tenor,  in  all  elections  and  in  all
  proceedings,  over  the  provisions  of this chapter which authorize any
  action by the members, but no such denial, limitation or  definition  of
  voting  rights shall be effective unless at the time one or more classes
  of members, singly or in the aggregate,  are  entitled  to  full  voting
  rights.
Structure New York Laws
NPC - Not-For-Profit Corporation
604 - Special Meeting for Election of Directors.
605 - Notice of Meeting of Members.
607 - List or Record of Members at Meetings.
608 - Quorum at Meeting of Members.
610 - Selection of Inspectors at Meetings of Members; Duties.
612 - Limitations on Right to Vote.
614 - Action by Members Without a Meeting.
615 - Greater Requirement as to Quorum and Vote of Members.
616 - Voting by Class of Members.
618 - Power of Supreme Court Respecting Elections.
619 - Agreements by Members as to Voting.
621 - Books and Records; Right of Inspection; Prima Facie Evidence.