I cannot here draw a musical scale, but I'm sure you know of it. A skin scale you may easily scratch from your scalp. A fish scale is a hard platy transparent protective covering. A weighing scale (eg a spring balance) indicates weight. A drawing or photograph is usually not on the scale of 1:1 (one to one), but will have the scale indicated.
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Scroll down to related links and look at "Kelvin scale in comparison to degrees Celsius scale".
a scale factor looks like a proportion but in the end it just looks like a ratio.
6 cm.
.250
A map scale is a bar with the real measurement on the top, and the scale to the country on the bottom. I doubt this helps, but hey, maybe.