The 2nd, 3rd, 6th & 7th degrees are the only degrees that can have a Major quality.
Major 2nd (M2)
P1
m2
M2
m3
M3
P4
d5
P5
m6
M6
m7
M7
P8
Major 3rd (M3)
P1
m2
M2
m3
M3
P4
d5
P5
m6
M6
m7
M7
P8
Major 6th (M6)
P1
m2
M2
m3
M3
P4
d5
P5
m6
M6
m7
M7
P8
Major 7th (M7)
P1
m2
M2
m3
M3
P4
d5
P5
m6
M6
m7
M7
P8