I used to regularly compete in Master Pyra in the SS weekly and have a 24.15 single and 35.85 average. My Master Pyra broke though, so I can't compete anymore. I used my own method for Master Pyra(with one borrowed alg and its mirror) and I'll try to explain it best as I can.
Piece types-
Tips- Same as Pyra
Fixed centers- The centers in the middle, there is one on each side.
Corners- They are underneath the tips, there are three on each side.
Small edges- The small edges, there are six on each side.
Big edges- They are sandwiched in between two small edges, there are three on each side.
Notation-
Uppercase moves like R mean to turn one layer(not counting tips as a layer)
Lowercase moves like r mean to turn two layers(not counting tips as a layer)
FIRST LAYER-
1- Solve tips
2- Solve the 3 yellow corners intuitively around the yellow fixed center(I'll use yellow but I would recommend being colour neutral)
3- Intuitively solve all the yellow big edges, inserting them with 3 movers. If an edge is flipped, take it out with a 3 mover and solve it with another 3 mover.
4- Solve all the yellow small edges to finish the yellow layer. Solve them in the same way as you would solve Pyraminx edges.
SECOND LAYER-
1- There are 3 big edges on the second layer. Unless they are already all solved, keep doing U moves until one of them is solved.
2- Keep the solved big edge in the back and do the alg l r' l' r u r u' r' to finish all the big edges.
3- Use the algorithm L r' L' r U r U' r' to solve the second layer small edges. It'll insert the piece rightmost on the third layer into the left small edge slot.
4- If the fixed centers aren't solved, don't worry you can solve those at the end.
THIRD LAYER-
You can use the alg r U r' U r U r' and the inverse to solve the third layer.
FIXED CENTERS-
You will likely end up with a case where the 3 fixed centers on the second layer are cycled.
If the centers have to cycle clockwise-
Rotate the cube so that the solved side is on the left, and do the alg r u r' u r u r' u l' U' l U' l' U' l U'
If the centers have to cycle anticlockwise-
Do that twice, or mirror the algorithm on the other side.
That's the method(with a few optimisations) I used, I never used a tutorial so I don't know if this is also what everybody else does.