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Scale is the defined size ratio between a full size object and its miniature scale version. The easiest scales are where one inch equals one foot, sometimes written as 1:12 or 1/12 scale (one inch equals 12 inches) the most common scale for dollhouses. In 1/12 scale an object one inch tall in miniature would be twelve inches tall in normal size.
Model railways for example have unique scale/gauge designations, such as: Z; N; H0; 00; EM; P4; 0; S; 1. Model figure scales are usually expressed as the height of a six-foot (1.83 m) figure; for example: 54 mm. Other model scales are generally given as a ratio which expresses what a measurement on the model represents on the actual object. When buying a model train, scale sizes are referred to by letter name, not number ratio.
For hydraulic models, specific scale rules are applied in order to obtain the correct reproduction of physical phenomenae.
A RATIO, NOT A MEASUREMENTThere are an enormous range of miniature railroad scales in both main gauges. Even within named scale groups such as HO there may be huge variation in the ratio. HO may vary in size from 1:72 to 1:90 with various gauges depending on the manufacturer. Z scale at 1:220 and N scale at 1:160 are the tiniest model railways. The largest for indoors are G gauge/scale at 1:22 to 1:25, used in garden railroads. Outdoors even larger scales are the ride-on steam trains you see in amusement parks. Some half scale 1:24 dollhouse builders use G scale railway components in their dollhouses as the scales are similar.
FinescaleVist wikipedia.com for listing of various size ratios for scale models here (http://en.wikipedia.org/wiki/List_of_scale_model_sizes)