Diorama Fern

Model scale, terrarium & diorama calculators

mm · cm · inches · feet

Model scale converter

Real size to model size and back, at any railway, kit, figure or dollhouse scale.

Railway ratios from NMRA and NEM standards; kit and dollhouse scales are conventions.

1 real foot = 3.5 mm · 1 model mm = 87.1 mm real

Measure your model and type it here to find the real size.

At this scale

  • Model size114.8 mm11.48 cm · 4.52 in (≈ 4 17/32 in)
  • Real size10 m10,000 mm · 1,000 cm · 393.7 in · 32.81 ft (32 ft 9.7 in)
  • Scale1:87.1HO · NMRA S-3.2 · 1 real foot = 3.5 mm · 1 real metre = 11.48 mm
Everyday sizes at 1:87.1
Real sizeModel mmModel cmModel in
A person 1.8 m tall 5 ft 10.9 in20.7 mm2.07 cm0.81 in ≈ 13/16 in
A 2 m door 6 ft 6.7 in23 mm2.3 cm0.9 in ≈ 29/32 in
A 3 m storey 9 ft 10.1 in34.4 mm3.44 cm1.36 in ≈ 1 11/32 in
A 4.5 m car 14 ft 9.2 in51.7 mm5.17 cm2.03 in ≈ 2 1/32 in

How the converter works

A scale of 1:87.1 means everything on the model is 87.1 times smaller than the real thing. Divide a real size by the scale number to get the model size, and multiply a measurement off the model to get the real one. Type in either box and the other follows, in millimetres, centimetres and inches, with feet for real sizes. The quick reference shows a person, a door, a storey and a car at the scale you chose.

Model railway ratios come from the standards bodies: the NMRA for North America and MOROP's NEM standards for Europe. They mostly agree, but not everywhere. HO is 1:87.1 for the NMRA and H0 is 1:87 in NEM 010, which also calls it 3.5 mm scale (3.5 mm to the foot). O is 1:48 for the NMRA, while NEM 010 makes 0 1:45 and notes that 1:43.5 (7 mm to the foot) is also used in some countries. The NMRA's OO is 1:76.2, where NEM 010 calls 4 mm scale 1:76.

Kit scales such as 1:35, 1:48, 1:72 and 1:24 are conventions rather than standards: they are the scales kit makers sell their ranges in. Dollhouse scales, 1:12 (one inch to the foot) and 1:24 (half an inch), are miniaturists' conventions.

Figure scales in millimetres

Wargaming and figure scales such as 28 mm or 54 mm give a figure's height, not a ratio, and makers measure it differently: some to the eyes, some to the top of the head, and sculpted proportions vary too. Taking an average man from NASA's anthropometric data (68.7 in, or 1.745 m, tall with his eyes at 64.7 in), a 28 mm figure works out at about 1:59 measured to the eyes and 1:62 to the top of the head. The converter uses the middle of that range, so treat figure scales as approximate.

Named scales, their ratios and where they come from
ScaleRatio1 real footBasisNotes
Z1:2201.39 mmNMRA S-3.2 and NEM 0106.5 mm track
N1:1601.91 mmNMRA S-3.2 and NEM 0109 mm track
TT1:1202.54 mmNMRA S-3.2 and NEM 01012 mm track
HO1:87.13.5 mmNMRA S-3.23.5 mm to the foot, 16.5 mm track
H01:873.5 mmNEM 01016.5 mm track
OO1:76.24 mmNMRA S-3.2 (NEM 010: 4 mm scale, 1:76)4 mm to the foot
S1:644.76 mmNMRA S-3.2 and NEM 0103/16 in to the foot, 22.5 mm track
O1:486.35 mmNMRA S-3.21/4 in to the foot
01:456.77 mmNEM 01032 mm track
O (7 mm)1:43.57.01 mmNEM 010 note (some countries)7 mm to the foot
11:329.53 mmNEM 010 (gauge I); in NMRA large scaleGauge 1, 45 mm track
Large scale 1:291:2910.51 mmNMRA S-3.2 large scaleGarden railways on 45 mm track
II (G)1:22.513.55 mmNEM 010 (II); in NMRA large scaleGarden railways, metre gauge on 45 mm track
F (Fn3)1:20.315.01 mmNMRA S-3.23 ft narrow gauge on 45 mm track
1:321:329.53 mmKit conventionAircraft
1:351:358.71 mmKit conventionMilitary vehicles and figures
1:481:486.35 mmKit conventionAircraft and military
1:721:724.23 mmKit conventionAircraft
1:761:764.01 mmKit conventionMilitary vehicles, close to OO
1:1441:1442.12 mmKit conventionA kit scale in the Airfix range
1:3501:3500.87 mmKit conventionShips
1:7001:7000.44 mmKit conventionWaterline ships
1:121:1225.4 mmKit conventionMotorcycles and big racing cars
1:201:2015.24 mmKit conventionGrand Prix cars
1:241:2412.7 mmKit conventionCars
1:431:437.09 mmKit conventionA kit scale in the Airfix range
6 mm figuresabout 1:2821.08 mmApproximate: makers measure differentlyWargames
10 mm figuresabout 1:1691.8 mmApproximate: makers measure differentlyWargames
15 mm figuresabout 1:1132.7 mmApproximate: makers measure differentlyWargames
20 mm figuresabout 1:853.6 mmApproximate: makers measure differentlyWargames
28 mm figuresabout 1:615.04 mmApproximate: makers measure differentlyTabletop wargames
32 mm figuresabout 1:535.76 mmApproximate: makers measure differentlyTabletop wargames
54 mm figuresabout 1:319.72 mmApproximate: makers measure differentlyDisplay figures
75 mm figuresabout 1:2313.49 mmApproximate: makers measure differentlyDisplay figures
1:121:1225.4 mmMiniaturist conventionOne inch to the foot, the usual dollhouse scale
1:241:2412.7 mmMiniaturist conventionHalf inch to the foot
1:481:486.35 mmMiniaturist conventionQuarter inch to the foot
1:1441:1442.12 mmMiniaturist conventionA dollhouse for a 1:12 dollhouse

Sources

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Questions

What is the difference between HO and H0?

They run on the same 16.5 mm track at almost the same scale. The NMRA defines HO as 1:87.1, and MOROP's NEM 010 defines H0 as 1:87, or 3.5 mm to the foot. The difference is about a tenth of a percent: a 10 m wagon is 114.8 mm long in HO and 114.9 mm in H0.

Is 1:72 the same as 1:76 or OO?

No. 1:76 is 4 mm to the foot, the scale of British OO (the NMRA gives OO as 1:76.2), while 1:72 is the common aircraft and armour kit scale. A 1:72 model is about 5.5% bigger: a 1.8 m person is 25.0 mm tall at 1:72 and 23.7 mm at 1:76.

What scale is a 28 mm figure?

There is no single answer, because makers measure figures differently. For an average man, a 28 mm figure works out at about 1:59 if measured to the eyes and about 1:62 if measured to the top of the head, and ranges from different makers vary in build and height, so compare figures side by side before mixing them.

How do I convert a real measurement to a model one?

Divide it by the scale number. A 12 m coach in N scale (1:160) is 12,000 ÷ 160 = 75 mm long; in HO (1:87.1) it is 137.8 mm. To go the other way, multiply the model measurement by the scale number.