The rotation of the model is choppy?

So I'm trying to make a place that just lets you stare at a spiral. It all works fine until I start it up on a server, where the animation looks choppy. I'm not sure why its doing this or if this is a limit from roblox's servers.

The game is here if you want to observe it yourself: https://www.roblox.com/games/615076271/A-Spiral

here is the code of the spiral itself:

parent = script.parent

--rs = game:GetService("RunService") 
-- Attempted to run this client side.. but I don't exactly know how to do that

primaryPosition = parent.SpiralCenter.Position

workspace.FakeSpiral:Remove() -- This was just for the game's screenshot

for num = 1,3 do -- This creates the spiral
	local r = 0
	for i = 1,360*1.5 do
		if r <= 40 then
			r = r + 0.1
		end
		
		part = parent.SpiralCenter:Clone()
		part.Name = "SpiralPart"
		part.CanCollide = false
		
		part.Size = Vector3.new(0.5,2 + r/15,2 + r/15)
		part.Position = Vector3.new(
			(math.cos(math.rad(i + 360/3*num))*r),
			parent.SpiralCenter.Position.Y,
			(math.sin(math.rad(i + 360/3*num))*r)
		)
		
		part.Transparency = 0
		part.Parent = parent
		part.CanCollide = true
	end
end

local rotate = 0

while wait() do -- The animation of the spiral
	
	if rotate <= 354 then
		rotate = rotate + 3
	else
		rotate = 0
	end
	
	parent:SetPrimaryPartCFrame(
	CFrame.new(Vector3.new(0,40,0)) * CFrame.Angles(math.rad(rotate),0,0)
	)
end

Try rotating the model by LocalScript. Since all the rotation is client-sided, none of the replication choppiness is there (though, if FilteringEnabled is activated, that's a different story).