The term "gauge" with respect to model trains refers to the distance between the two rails, more specifically the distance from the inside of one rail to the inside of the other rail. Here are the measurements of some different model train gauges:
HO gauge - 16.5 mm O gauge - 1-1/4 inches
N gauge - 9.0 mm
S gauge - 7/8 of an inch
Z gauge - 6.5 mm
Below are the scales, the ratio of life size equivalents:
HO scale - 1 / 87
O scale - 1 / 48
N scale - 1 / 160
S scale - 1 / 64
Z scale - 1 / 220
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