R15 Scaling formula for jointing limb

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#1

(I posted this issue in a wrong topic, so imma have to rewrite this again.)

I have been scratching my head for 2 days straight finding a solution for an accurate scaling formula.
I want to achieve the scaling of just the limb, not the entire character.

I have tried atleast 3 method.

  1. Standard scaling by simply apply the scale to the joint.
  2. using the height of the part / 2 and offset it with attachment’s origin
  3. Copy the same method used for R6. (identical result to method 1)

What I got so far. (method 2)
They’re never centered and was squashed or straight up bumping out
Scale : 1,3,1
image
Scale : 0.5,0.5,1
image

This script is a heavily modified version of the code made by EchoReaper.

					part.OriginalSize.Value = part.OriginalSize.Value * scaleFactor
					local lastPartSize = part.Size
					part.Size = part.Size * scaleFactor
					for _,attachment in pairs(part:GetChildren()) do
						if attachment:IsA("Attachment") then
							local rY = lastPartSize.Y/2
							if attachment.CFrame.Y < 0 then
								rY = -rY
							end
							local offY = rY - attachment.CFrame.Y
							local scale = Vector3.new(scaleFactor.X,0,scaleFactor.Z)
							local offset = Vector3.new(0,((rY*scaleFactor.Y) - offY),0)
							if attachment:FindFirstChild("OriginalPosition") then
								attachment.OriginalPosition.Value = attachment.OriginalPosition.Value * scale + offset
							end
							attachment.Position = attachment.Position * scale + offset
						end
					end
					local joint = part:FindFirstChildOfClass("Motor6D")
					local a0,a1 = unpack(components[joint.Name] or {})
					if not a0 or not a1 then
						print(joint,a0,a1,"missing")
						return
					end
					joint.C0 = a0.CFrame
					joint.C1 = a1.CFrame
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