Seamess animation of Wave procedural texture

Following advice from this question on Stack Exchange I’m now able to seamlessly animate generated textures. I’m now using these methods to animate stripes via the Wave texture.

Something that I’ve noticed is that the stripes only will appear seamless if the scale is set 1.88889 or multiples thereof (see gif below). Is there significance to this number? What does it relate to?

I have no idea. I find the waves generator so weird I made my own; scale that makes sense to me and without that weird 45° rotation (which makes it hard to use for projections), but it doesn’t have builtin distortion and detail (just some maths nodes strung together).

Is there any chance that you could share your wave generator?

Just some very simple maths going on:

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