Calculations

In order to calculate the intervals from one string to the next within the same fret, you need to memorize the interval arithmetic:
for strings E -> A, A -> D, D -> g, b -> e Interval x + 4th
for strings e -> b, g -> D, D -> A, A -> E Interval x + 5th
for string g -> b Interval x + j3rd
for string b -> g Interval x + b6th

Intervals 4th, 5th, 3rd, b6th for all 12 intervals

interval +4th +5th +j3rd +b6th
strings E, A, D, b e, g, D, A g b
14 5 3 b6
b9b5 b6 4 6
95 6 b5 b7
b3b6 b7 5 j7
36 j7 b6 1
4b7 1 6 b9
b5j7 b9 b7 9
51 9 j7 b3
b6b9 b3 1 3
69 3 b9 4
b7b3 4 9 b5
j73 b5 b3 5

Circles of Intervals

Triads

Major