What is the LAB color space that is provided in the tool but not discussed in the article? For all the hubbub about HSL and HCL, LAB looks the best to me.
There are multiple ways to look at differences in LAB space unfortunately. Each one more mathematically complex, yet more perceptually accurate: http://zschuessler.github.io/DeltaE/learn/
For a ton of useful equations and calculators: http://www.brucelindbloom.com/index.html
You can compare monochromatic scales between various color space interpolations and order them by contrast (great for accessibility work). Lab is from the 70s, the newest one there is CIECAM2 from the 2000s, also looking most natural to my eyes.