Converting bottle threads from diagram to a 3D model Goal:
I'm trying to model the threads of a polar springs 500ml bottle in Blender 2.8x so I can 3D print an adapter for it.

Issue:
I'm having issues converting what Blender 2.8x calls Screw and what the diagram calls Helix Angle and Travel Per Turn.

Full diagram of threads I'm following
I've been able to find some good dimensions for the threads to start with.
Link to full diagram below.
https://www.bevtech.org/assets/Threadspecs/2072573_tmp.pdf
Tried:
I was thinking of using the profile of a 3 edge plane
See image below

And using the screw modifier to make each of the 3 threads (each of the 3 threads only go around 73-75% of the bottle head) see image below (I was doing it this way to have more control over each thread since 3D printing this may require fine tuning each thread)

To test the treads I would just use a cap that comes with the 500ml Poland springs water bottle.
Ps: I was following parts of this tutorial
https://youtu.be/kVNxfCtoG_A
Such a nice diagram almost calls for the Simple Deform Modifier :)

Model the thread as in the diagram
Add a Simple Deform Modifier &gt; Bend
Choose an axis and set angle to 360°