Scale Converter
Description
Model railway scales are expressed as a ratio — written 1:N — comparing a model's size to the real, full-size prototype it represents. A scale of 1:87 (HO) means the model is 87 times smaller than the real train; the larger the second number, the smaller the model. This calculator converts any length between real-world dimensions and a model scale, or directly between two model scales — useful for finding a locomotive's real-world length from a model measurement, checking whether N scale and HO scale models are compatible in size, or converting a prototype's published dimensions into a model-scale cutting length.
Scale names aren't always consistent between countries. The US, UK, and continental Europe sometimes define the same name differently: British OO (1:76) is not the same ratio as NMRA's American OO (1:76.2) or true HO (1:87), and "G scale" covers several different ratios (1:32, 1:29, 1:22.5, 1:20.3, and more) depending on the manufacturer and which prototype gauge it represents. Select a standards body above — United States, United Kingdom, or European — to see only the scales relevant to your region.
To convert a length: multiply the input by its scale's ratio to get the real-world size, then divide by the target scale's ratio. Real World (1:1) uses the same formula — it's just a ratio of 1.
Sources
- NMRA Standard S-1.2; NEM 010 (MOROP)
- Rail transport modelling scales, Wikipedia (British table)
- Rail transport modelling scales, Wikipedia
- NMRA Standard S-1.2
- NEM 010 (MOROP); Rail transport modelling scales, Wikipedia (British table)
- NMRA Standard S-1.2 (historically "American OO")
- NMRA Standard S-1.2; Rail transport modelling scales, Wikipedia (British table; NEM section)
- O scale, Wikipedia (NEM)
- world-of-railways.co.uk
- Gauge 3 Society (gauge3.org.uk); Gauge 3 Railways, Wikipedia
- NMRA Standard S-3.3; G scale, Wikipedia
- NMRA Standard S-3.3; G scale, Wikipedia (NEM 010, European metre gauge origin); G Scale Society (UK gauge/scale society directory)
- 16 mm scale, Wikipedia
- NMRA Standard S-1.2 (Fn3); nasg.org
- NEM 010 (MOROP); Rail transport modelling scales, Wikipedia (NEM section)
Disclaimer: Scale ratios are generally stable, but always check against your specific manufacturer or national standards body to verify measurements.

