U.S.Senate right after the election, some changes typical
29 Democrat Majority,  68 to 32 biggest majority
8 Republican Majority, 55 to 45 biggest majority

84th Congress (1955-1957)
Majority Party: Democrat (48 seats)
Minority Party: Republican (47 seats)
Other Parties: 1 Independent

85th Congress (1957-1959)
Majority Party: Democrat (49 seats)
Minority Party: Republican (47 seats)

86th Congress (1959-1961)
Majority Party: Democrat (65 seats)
Minority Party: Republican (35 seats)

87th Congress (1961-1963)
Majority Party: Democrat (64 seats)
Minority Party: Republican (36 seats)

88th Congress (1963-1965)
Majority Party: Democrat (66 seats)
Minority Party: Republican (34 seats)

89th Congress (1965-1967)
Majority Party: Democrat (68 seats)
Minority Party: Republican (32 seats)

90th Congress (1967-1969)
Majority Party: Democrat (64 seats)
Minority Party: Republican (36 seats)

91st Congress (1969-1971)
Majority Party: Democrat (57 seats)
Minority Party: Republican (43 seats)

92nd Congress (1971-1973)
Majority Party: Democrat (54 seats)
Minority Party: Republican (44 seats)
Other Parties: 1 Conservative (caucused with the Republicans);
               1 Independent (caucused with the Democrats)

93rd Congress (1973-1975)
Majority Party: Democrat (56 seats)
Minority Party: Republican (42 seats)
Other Parties: 1 Conservative (caucused with the Republicans);
               1 Independent (caucused with the Democrats)

94th Congress (1975-1977)
Majority Party: Democrat (61 seats)
Minority Party: Republican (37 seats)

95th Congress (1977-1979)
Majority Party: Democrat (61 seats)
Minority Party: Republican (38 seats)
Other Parties: 1 Independent (caucused with the Democrats)

96th Congress (1979-1981)
Majority Party: Democrat (58 seats)
Minority Party: Republican (41 seats)
Other Parties: 1 Independent (caucused with the Democrats)

97th Congress (1981-1983)
Majority Party: Republican (53 seats)
Minority Party: Democrat (46 seats)
Other Parties: 1 Independent (caucused with the Democrats)

98th Congress (1983-1985)
Majority Party: Republican (55 seats)
Minority Party: Democrat (45 seats)

99th Congress (1985-1987)
Majority Party: Republican (53 seats)
Minority Party: Democrat (47 seats)

100th Congress (1987-1989)
Majority Party: Democrat (55 seats)
Minority Party: Republican (45 seats)

101st Congress (1989-1991)
Majority Party: Democrat (55 seats)
Minority Party: Republican (45 seats)

102nd Congress (1991-1993)
Majority Party: Democrat (56 seats)
Minority Party: Republican (44 seats)

103rd Congress (1993-1995)
Majority Party: Democrat (57 seats)
Minority Party: Republican (43 seats)

104th Congress (1995-1997)
Majority Party: Republican (52 seats)
Minority Party: Democrat (48 seats)

105th Congress (1997-1999)
Majority Party: Republican (55 seats)
Minority Party: Democrat (45 seats)

106th Congress (1999-2001)
Majority Party: Republican (55 seats)
Minority Party: Democrat (45 seats)

107th Congress (2001-2003)
Majority Party (Jan 3-20, 2001): Democrat (50 seats)
Minority Party: Republican (50 seats)

108th Congress (2003-2005)
Majority Party: Republican (51 seats)
Minority Party:  Democrat (48 seats)

109th Congress (2005-2007)
Majority Party: Republican (55 seats)
Minority Party:  Democrat (44 seats)

110th Congress (2007-2009)
Majority Party: Democrat (49 seats)
Minority Party:  Republican (49 seats)
Other Parties: 1 Independent; 1 Independent Democrat 
               (both caucus with the Democrats)

111th Congress (2009-2011)
Majority Party: Democrat (57 seats)
Minority Party:  Republican (41 seats)
Other Parties: 1 Independent; 1 Independent Democrat 
               (both caucus with the Democrats)

112th Congress (2011-2013)
Majority Party: Democrat (51 seats)
Minority Party:  Republican (47 seats)
Other Parties: 1 Independent; 1 Independent Democrat
               (both caucus with the Democrats)

113th Congress (2013-2015)
Majority Party: Democrat (53 seats)
Minority Party:  Republican (45 seats)
Other Parties: 2 Independents (both caucus with the Democrats)