Modulate up a Perfect 5th

V becomes I

or

Use a V/V which is a Major II

Modulate up a Perfect 4th

IV becomes I

continue to tonicize new key with ii6/5 V7 I prog.

Modulate up a Major 2nd

ii becomes i

continue to tonicize new key with ii6/5 V7 i or I prog.

Modulate up a M6th

vi becomes i

follow with a ii6/5 i6/4 V7 i 

or use the V7 to tonicize a major chord instead.

Modulate up a M3

vi becomes iv

iv belongs to a minor chord set, follow with a V7 to either i or I.

Modulate up a minor 6th

VI becomes I

The VI chord is borrowed from the minor version of the original key.

follow with a vi IV V I progression.

Modulate up a minor 7th

IV7 becomes V7

follow with a ii6 I6/4 V7 I progression

Modulate up a minor 3rd

Go to the IV then to a IV7/IV which becomes the V7chord of the new key.

(C F Bb7 Eb)

Modulate up a minor 2nd

use vi to the V7 in the new key.

(the V7 would be a German Sixth Chord)

I vi --> V7 I ii6 I6/4 V I

Modulate up a Major 7th

vii dim.6  I6 to V in new key 

(I6 is a Neapolitan)

(I  viidim6  I6 ----> V4/2  I6  ii6/5  V7  I)

Modulate up an Augmented 4th

use a viidim7.  

The SAME EXACT NOTES ARE USED in the viidim7

of the key an Aug 4th up, only the chord will appear to be in second inversion.  

(I viidim7 ---> I  ii6/5  I6/4  V7  I)