Difference between revisions of "Scale"

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 +
<pre>
 +
Stature [eye height]
 +
ft-in 6′ ≈5′11″ 5′10″
 +
㎜ 1828.8 1800 1778   Basis  Notes
 +
1∶32  57 [54] 56 [53] 56 [53] ³⁄₈″ ≡ 1′ auto (slot cars, etc.) “standard size”
 +
1∶35  52 [50] 51 [49] 51 [48]     —    military (Tamiya, etc.)
 +
1∶36  51 [48] 50 [48] 49 [47]   1″ ≡ 3′ GURPS
 +
1∶38.1 48 [46] 47 [45] 47 [44]   8㎜ ≡ 1′ Lego® Minifigure
 +
1∶43  43 [40] 42 [40] 41 [39]     —    {{abbr|auto (die-cast)|rounded from 1∶43.5}}
 +
1∶43.5 42 [40] 41 [39] 41 [39]   7㎜ ≡ 1′ 0 scale (UK)
 +
1∶45  41 [39] 40 [38] 40 [38]     —    0 scale (EU)
 +
1∶48  38 [36] 38 [36] 37 [35]   1″ ≡ 4′ O scale (US)
 +
1∶50  37 [35] 36 [34] 36 [34]     —    die-cast trucks
 +
1∶55  33 [32] 33 [31] 32 [31]     —    auto (Disney, etc.)
 +
1∶60  30 [29] 30 [29] 30 [28]   1″ ≡ 5′ d20, 30㎜
 +
1∶64  29 [27] 28 [27] 28 [26] ³⁄₁₆″ ≡ 1′ S scale, matchbox (nominal)
 +
1∶72  25 [24] 25 [24] 25 [23]   1″ ≡ 6′ —
 +
1∶87.1 21 [20] 21 [20] 20 [19] 3.5㎜ ≡ 1′ {{abbr|H0|Half zero}} scale
 +
1∶90  20 [19] 20 [19] 20 [19]     —    —
 +
1∶285  6.4 [6.1] 6.3 [6.0] 6.2 [5.9]     —    US Army (¹⁄₄″ ≈ 5′11″, 6㎜ ≈ 5′7″)
 +
1∶288  6.4 [6.0] 6.3 [5.9] 6.2 [5.9] ¹⁄₄″ ≡ 6′
 +
1∶300  6.1 [5.8] 6.0 [5.7] 5.9 [5.6]     —    NATO (6㎜ = 1.8m)
 +
1∶304.8 6.0 [5.7] 5.9 [5.6] 5.8 [5.5]   6㎜ ≡ 6′
 +
</pre>
 +
{| class="sortable zebra wikitable"
 +
!Scale !!Name !!Gauge !!Std. !!1′ !!Notes
 +
|-
 +
|1∶220 ||Z ||data-sort-value="6.5"|6.5 ㎜ ||Int. ||data-sort-value="1.385"|{{frac|3|55}}″ ||
 +
|-
 +
|1∶160 ||N ||data-sort-value="9"|9 ㎜ ||Int. ||data-sort-value="1.905"|{{frac|3|40}}″ ||
 +
|-
 +
|1∶148 ||N† ||data-sort-value="9"|9 ㎜ ||UK ||data-sort-value="2.059"|{{frac|3|37}}″ ||
 +
|-
 +
|1∶144 ||() ||data-sort-value="9"|9 ㎜ ||— ||data-sort-value="2.117"|{{frac|1|12}}″ ||
 +
|-
 +
|1∶120 ||TT ||data-sort-value="12"|12 ㎜ ||Int. ||data-sort-value="2.540"|{{frac|1|10}}″ ||
 +
|-
 +
|1∶90 ||() ||data-sort-value="16"|— ||— ||data-sort-value="3.387"|{{frac|2|15}}″ ||1∶45 ×½
 +
|-
 +
|{{abbr|1∶87|1∶87.085714}} ||HO ||data-sort-value="16"|16.5 ㎜ ||Int. ||data-sort-value="3.500"|3.5 ㎜ ||“half 0”
 +
|-
 +
|1∶76.2 ||00† ||data-sort-value="16"|16.5 ㎜ ||UK ||data-sort-value="4.000"|4 ㎜ ||
 +
|-
 +
|1∶64 ||S ||data-sort-value="22"|22.4 ㎜ ||Int. ||data-sort-value="4.763"|{{frac|3|16}}″ ||1∶32 ×½
 +
|-
 +
|1∶60 ||() ||data-sort-value="22"|— ||— ||data-sort-value="5.080"|{{frac|1|5}}″ ||d20
 +
|-
 +
|1∶55 ||() ||data-sort-value="22"|— ||— ||data-sort-value="5.542"|{{frac|12|55}}″ ||
 +
|-
 +
|1∶50 ||() ||data-sort-value="32"|— ||— ||data-sort-value="6.096"|{{frac|6|25}}″ ||1 m = 2 ㎝
 +
|-
 +
|1∶48 ||O ||data-sort-value="32"|1¼″ ||NMRA ||data-sort-value="6.350"|{{frac|1|4}}″ ||{{frac|1|1|4}}″ figures
 +
|-
 +
|1∶45 ||0 ||data-sort-value="32"|32 ㎜ ||MOROP ||data-sort-value="6.773"|{{frac|4|15}}″ ||{{abbr|mean|Geometric mean of:&lt;br&gt;• 1∶45.2 ≈ 1¼″ ÷ 4′ 8½″ (imperial)&lt;br&gt;• 1∶44.84 ≈ 32㎜ ÷ 1435㎜ (metric)}}
 +
|-
 +
|{{abbr|1∶43.5|1∶43.542857}} ||0 ||data-sort-value="32"|32 ㎜ ||UK ||data-sort-value="7.000"|7 ㎜ ||“0” &lt; №I
 +
|-
 +
|1∶43 ||() ||data-sort-value="32"|— ||— ||data-sort-value="7.088"|≈7.1 ㎜ ||{{frac|1|2|3}}″ figures
 +
|-
 +
|{{abbr|1∶38.1|2=1′ = 1 stud pitch (8 ㎜)}} ||L† ||data-sort-value="38"|37.7 ㎜ ||— ||data-sort-value="8.000"|8 ㎜ ||[http://l-gauge.org L-gauge]
 +
|-
 +
|1∶36 ||() ||data-sort-value="40"|— ||— ||data-sort-value="8.467"|{{frac|1|3}}″ ||GURPS
 +
|-
 +
|1∶32 ||№I/#1 ||data-sort-value="45"|32 ㎜ ||Int. ||data-sort-value="9.525"|{{frac|3|8}}″ ||aka “standard size”
 +
|-
 +
|1∶24 ||½″ ||data-sort-value="60"|— ||— ||data-sort-value="12.70"|{{frac|1|2}}″ ||3″ figures
 +
|-
 +
|1∶22.5 ||№II ||data-sort-value="64"|64 ㎜ ||MOROP ||data-sort-value="13.55"|{{frac|8|15}}″ ||1∶45 ×2
 +
|-
 +
|1∶20.32 ||F ||data-sort-value="71"|71 ㎜ ||NMRA ||data-sort-value="15.00"|15 ㎜ ||
 +
|-
 +
|1∶18 ||() ||data-sort-value="80"|— ||— ||data-sort-value="16.93"|{{frac|2|3}}″ ||4″ figures
 +
|-
 +
|1∶16 ||№III ||data-sort-value="89"|89 ㎜ ||MOROP ||data-sort-value="19.05"|{{frac|3|4}}″ ||1∶48 ×3
 +
|-
 +
|1∶12 ||1″ ||data-sort-value="121"|121 ㎜ ||NMRA ||data-sort-value="25.40"|1″ ||6″ figures
 +
|-
 +
|1∶11 ||№V ||data-sort-value="127"|127 ㎜ ||MOROP ||data-sort-value="27.71"|{{frac|1|1|11}}″ ||1∶55 ×5
 +
|-
 +
|1∶8 ||№VII ||data-sort-value="184"|184 ㎜ ||MOROP ||data-sort-value="38.10"|{{frac|1|1|2}}″ ||1∶55 ×7
 +
|-
 +
|1∶5.5 ||№X ||data-sort-value="260"|260 ㎜ ||MOROP ||data-sort-value="55.42"|{{frac|2|2|11}}″ ||1∶55 ×10
 +
|}
 +
 +
* MOROP [http://www.morop.org/downloads/nem/fr/nem010_f.pdf Reduction ratios, scales, spacings] (2011)
 +
* NMRA [https://www.nmra.org/beginner/scales Scales & Gauge] (2014-12-02)
 +
* NMRA [https://www.nmra.org/sites/default/files/standards/sandrp/pdf/S-1.2%202009.07.pdf Standards for Scale Models] (2009 July)
 +
 
==Human height==
 
==Human height==
 +
: From ''Preliminary Human Factors Guidelines for Traffic Management Centers'' (July 1999) {{abbr|FHWA|Federal Highway Administration}}, U.S. {{abbr|DoT|Department of Transportation}}
 
<!-- Inches cm mm
 
<!-- Inches cm mm
 
Stat Eye Dif. Per. Stat  Eye    Dif. St. Eye Dif Stat Eye Dif
 
Stat Eye Dif. Per. Stat  Eye    Dif. St. Eye Dif Stat Eye Dif
Line 14: Line 103:
 
{|
 
{|
 
|
 
|
{| class="wikitable"
+
{| class="wikitable c2r c3r c4r"
|+ Stature (standing height)
+
|+ Males (North America)
 
|-
 
|-
! Adults: !! 5th % !! 50th !! 95th
+
! &nbsp; !! 5th % !! 50th !! 95th
 
|-
 
|-
| Males  || 5′3⁵⁄₈″<br>162㎝ || 5′8¹⁄₄″<br>173㎝ || 6′ ³⁄₄″<br>185㎝
+
| Stature
 +
| 5′ {{frac|3|5|8}}″<br>161.5&#8239;㎝
 +
| 5′ {{frac|8|1|4}}″<br>173.5&#8239;㎝
 +
| 6′ {{frac||3|4}}″<br>185&#8239;㎝
 
|-
 
|-
| Females || 4′11″<br>150㎝ || 5′2⁷⁄₈″<br>160㎝ || 5′7¹⁄₈″<br>170㎝
+
| Eye height
|}
+
| 5′ {{frac||3|4}}″<br>154.5&#8239;㎝
|
+
| 5′ {{frac|4|3|4}}″<br>164.5&#8239;㎝
{| class="wikitable"
+
| 5′ {{frac|8|5|8}}″<br>174&#8239;㎝
|+ Eye height (standing)
 
 
|-
 
|-
! Adults: !! 5th % !! 50th  !! 95th
+
| Sitting height
 +
| 2′ {{frac|9|1|4}}″<br>84.5&#8239;㎝
 +
| 2′ {{frac|11|3|4}}″<br>90.5&#8239;㎝
 +
| 3′ 2″<br>96.5&#8239;㎝
 
|-
 
|-
| Males  || 60.8″<br>154㎝ || 64.7″<br>164㎝ || 68.6″<br>174㎝
+
| {{abbr|Body width|Including arms&lt;br&gt;&lt;small&gt;(Combined USAF personnel & college students)&lt;/small&gt;}}
|-
+
| 1′ {{frac|6|3|4}}″<br>48&#8239;㎝
| Females || 57.3″<br>146㎝ || 60.3″<br>153㎝ || 65.3″<br>166㎝
+
| 1′ {{frac|8|7|8}}″<br>53&#8239;㎝
 +
| 1′ {{frac|10|3|4}}″<br>58&#8239;㎝
 
|}
 
|}
|}
 
When people stand normally (i.e., with some slump), their eye height lowers by about 1.6 in (4.1 cm) for males and by about 1.2 in (3.0 cm) for females.
 
 
{|
 
 
|
 
|
{| class="wikitable"
+
{| class="wikitable c2r c3r c4r"
|+ Body width (including arms)
+
|+ Females (North America)
|-
 
! Adults: !! 5th % !! 50th  !! 95th
 
 
|-
 
|-
| {{abbr|Males|Combined Air Force personnel and college students}} || 18.8″ || 20.9″ || 22.8″
+
! &nbsp; !! 5th % !! 50th !! 95th
 
|-
 
|-
| Females || 57.3″ || 60.3″ || 65.3″
+
| Stature
|}
+
| 4′ 11″<br>150&#8239;㎝
|
+
| 5′ {{frac|2|7|8}}″<br>160&#8239;㎝
{| class="wikitable"
+
| 5′ {{frac|7|1|8}}″<br>170.5&#8239;㎝
|+ Sitting height
 
 
|-
 
|-
! Adults: !! 5th % !! 50th  !! 95th
+
| Eye height
 +
| 4′ {{frac|9|1|4}}″<br>145.5&#8239;㎝
 +
| 5′ {{frac||1|4}}″<br>153&#8239;㎝
 +
| 5′ {{frac|5|1|4}}″<br>166&#8239;㎝
 
|-
 
|-
| Males  || 33.2″ || 35.7″ || 38.0″
+
| Sitting height
|-
+
| 2′ {{frac|6|7|8}}″<br>78.5&#8239;㎝
| Females || 30.9″ || 33.4″ || 35.7″
+
| 2′ {{frac|9|3|8}}″<br>85&#8239;㎝
 +
| 2′ {{frac|11|3|4}}″<br>90.5&#8239;㎝
 
|}
 
|}
 
|}
 
|}
 +
:When standing normally (i.e., with some slump), eye height lowers &sim;1.6″ (4&#8239;㎝) for males and &sim;1.2″ (3&#8239;㎝) for females.
 +
:Extrapolating, eye height is ∼95% of stature, and body width is ∼30% of stature.
  
 
===6mm===
 
===6mm===
{| class="wikitable"
+
{| class="c1r"
|align=right| 6㎜ ||∶ 171㎝ ||≡&#8287;1&#8239;∶&#8239;285
+
| 6 ㎜  ||∶ 171 ㎝      ||≡ 1 ∶ 285
 
|-
 
|-
|align=right| 6㎜ ||∶ 67¹⁄₂″ ||≡&#8287;1&#8239;∶&#8239;285³⁄₄
+
| 6 ㎜  ||∶ {{frac|67|1|2}}″ ||≡ 1 ∶ {{frac|285|3|4}}
 
|-
 
|-
|align=right| 6㎜ ||∶ 172㎝ ||≡&#8287;1&#8239;∶&#8239;286²⁄₃
+
| 6 ㎜  ||∶ 172 ㎝      ||≡ 1 ∶ {{frac|286|2|3}}
 
|-
 
|-
|align=right| ¹⁄₄″ ||∶ 6′ ||≡&#8287;1&#8239;∶&#8239;288
+
| {{frac|1|4}}″ ||∶ 6′             ||≡ 1 ∶ 288
 
|-
 
|-
|align=right| 1″ ||∶ 25′ ||≡&#8287;1&#8239;∶&#8239;300
+
| 1″           ||∶ 25′             ||≡ 1 ∶ 300
 
|-
 
|-
|align=right| 6㎜ ||∶ 180㎝ ||≡&#8287;1&#8239;∶&#8239;300
+
| 6 ㎜  ||∶ 180 ㎝      ||≡ 1 ∶ 300
 
|-
 
|-
|align=right| 6㎜ ||∶ 6′ ||≡&#8287;1&#8239;∶&#8239;304.8
+
| 6 ㎜  ||∶ 6′             ||≡ 1 ∶ 304.8
 
|}
 
|}
 +
 +
== list ==
 +
<pre>
 +
Scale 1′ (mm) Basis
 +
1∶87 3.5  3.5mm = 1′ (H0 scale)
 +
1∶76.2 4 4mm = 1′ (UK OO guage)
 +
1∶73 4.167 25mm = 6′
 +
1∶72– 4.233 1″ = 6′ (model aircraft)
 +
1∶71 4.291 25mm stature
 +
1∶67 4.574 25mm eye height
 +
1∶65.3 4.667 28mm = 6′
 +
1∶64– 4.763 S-scale (nominal “matchbox”)
 +
1∶63 4.805 28mm stature
 +
1∶60.1 5 5mm = 1′ (UK OO guage)
 +
1∶60– 5.08 d20 ground scale (1″ = 5′)
 +
1∶60 5.123 28mm eye height
 +
1∶57.2 5.333 32mm = 6′
 +
1∶56 5.492 32mm stature
 +
1∶52 5.855 32mm eye height
 +
1∶50– 6.096 2cm = 1m (Euro dicast scale)
 +
1∶48– 6.35 ¼″ = 1′ (US O guage)
 +
1∶47 6.522 38mm stature
 +
1∶45.2 6.743 1¼″ = 4′ 8½″ (0 scale)
 +
1∶44 6.952 38mm eye height
 +
1∶43½ 7 7mm = 1′ (UK O guage, matchbox “yesteryear” & “king size”)
 +
1∶36– 8.467 GURPS ground scale (1″ = 3′)
 +
</pre>
 +
 +
[[category:scale models]]

Latest revision as of 21:50, 11 January 2020

		Stature [eye height]			
ft-in	6′	≈5′11″	5′10″		
㎜	1828.8	1800	1778	  Basis  	Notes
1∶32  	57 [54]	56 [53]	56 [53]	 ³⁄₈″ ≡ 1′	auto (slot cars, etc.) “standard size”
1∶35  	52 [50]	51 [49]	51 [48]	    —    	military (Tamiya, etc.)
1∶36  	51 [48]	50 [48]	49 [47]	   1″ ≡ 3′	GURPS
1∶38.1	48 [46]	47 [45]	47 [44]	  8㎜ ≡ 1′	Lego® Minifigure
1∶43  	43 [40]	42 [40]	41 [39]	    —    	{{abbr|auto (die-cast)|rounded from 1∶43.5}}
1∶43.5	42 [40]	41 [39]	41 [39]	  7㎜ ≡ 1′	0 scale (UK)
1∶45  	41 [39]	40 [38]	40 [38]	    —    	0 scale (EU)
1∶48  	38 [36]	38 [36]	37 [35]	   1″ ≡ 4′	O scale (US)
1∶50  	37 [35]	36 [34]	36 [34]	    —    	die-cast trucks
1∶55  	33 [32]	33 [31]	32 [31]	    —    	auto (Disney, etc.)
1∶60  	30 [29]	30 [29]	30 [28]	   1″ ≡ 5′	d20, 30㎜
1∶64  	29 [27]	28 [27]	28 [26]	³⁄₁₆″ ≡ 1′	S scale, matchbox (nominal)
1∶72  	25 [24]	25 [24]	25 [23]	   1″ ≡ 6′	—
1∶87.1	21 [20]	21 [20]	20 [19]	3.5㎜ ≡ 1′	{{abbr|H0|Half zero}} scale
1∶90  	20 [19]	20 [19]	20 [19]	    —    	—
1∶285  	6.4 [6.1]	6.3 [6.0]	6.2 [5.9]	    —    	US Army (¹⁄₄″ ≈ 5′11″, 6㎜ ≈ 5′7″)
1∶288  	6.4 [6.0]	6.3 [5.9]	6.2 [5.9]	 ¹⁄₄″ ≡ 6′	
1∶300  	6.1 [5.8]	6.0 [5.7]	5.9 [5.6]	    —    	NATO (6㎜ = 1.8m)
1∶304.8	6.0 [5.7]	5.9 [5.6]	5.8 [5.5]	  6㎜ ≡ 6′	
Scale Name Gauge Std. 1′ Notes
1∶220 Z 6.5 ㎜ Int. 355
1∶160 N 9 ㎜ Int. 340
1∶148 N† 9 ㎜ UK 337
1∶144 () 9 ㎜ 112
1∶120 TT 12 ㎜ Int. 110
1∶90 () 215 1∶45 ×½
1∶87 HO 16.5 ㎜ Int. 3.5 ㎜ “half 0”
1∶76.2 00† 16.5 ㎜ UK 4 ㎜
1∶64 S 22.4 ㎜ Int. 316 1∶32 ×½
1∶60 () 15 d20
1∶55 () 1255
1∶50 () 625 1 m = 2 ㎝
1∶48 O 1¼″ NMRA 14 114″ figures
1∶45 0 32 ㎜ MOROP 415 mean
1∶43.5 0 32 ㎜ UK 7 ㎜ “0” < №I
1∶43 () ≈7.1 ㎜ 123″ figures
1∶38.1 L† 37.7 ㎜ 8 ㎜ L-gauge
1∶36 () 13 GURPS
1∶32 №I/#1 32 ㎜ Int. 38 aka “standard size”
1∶24 ½″ 12 3″ figures
1∶22.5 №II 64 ㎜ MOROP 815 1∶45 ×2
1∶20.32 F 71 ㎜ NMRA 15 ㎜
1∶18 () 23 4″ figures
1∶16 №III 89 ㎜ MOROP 34 1∶48 ×3
1∶12 1″ 121 ㎜ NMRA 1″ 6″ figures
1∶11 №V 127 ㎜ MOROP 1111 1∶55 ×5
1∶8 №VII 184 ㎜ MOROP 112 1∶55 ×7
1∶5.5 №X 260 ㎜ MOROP 2211 1∶55 ×10

Human height

From Preliminary Human Factors Guidelines for Traffic Management Centers (July 1999) FHWA, U.S. DoT
Males (North America)
  5th % 50th 95th
Stature 5′ 358
161.5 ㎝
5′ 814
173.5 ㎝
6′ 34
185 ㎝
Eye height 5′ 34
154.5 ㎝
5′ 434
164.5 ㎝
5′ 858
174 ㎝
Sitting height 2′ 914
84.5 ㎝
2′ 1134
90.5 ㎝
3′ 2″
96.5 ㎝
Body width 1′ 634
48 ㎝
1′ 878
53 ㎝
1′ 1034
58 ㎝
Females (North America)
  5th % 50th 95th
Stature 4′ 11″
150 ㎝
5′ 278
160 ㎝
5′ 718
170.5 ㎝
Eye height 4′ 914
145.5 ㎝
5′ 14
153 ㎝
5′ 514
166 ㎝
Sitting height 2′ 678
78.5 ㎝
2′ 938
85 ㎝
2′ 1134
90.5 ㎝
When standing normally (i.e., with some slump), eye height lowers ∼1.6″ (4 ㎝) for males and ∼1.2″ (3 ㎝) for females.
Extrapolating, eye height is ∼95% of stature, and body width is ∼30% of stature.

6mm

6 ㎜ ∶ 171 ㎝ ≡ 1 ∶ 285
6 ㎜ 6712 ≡ 1 ∶ 28534
6 ㎜ ∶ 172 ㎝ ≡ 1 ∶ 28623
14 ∶ 6′ ≡ 1 ∶ 288
1″ ∶ 25′ ≡ 1 ∶ 300
6 ㎜ ∶ 180 ㎝ ≡ 1 ∶ 300
6 ㎜ ∶ 6′ ≡ 1 ∶ 304.8

list

Scale	1′ (mm)	Basis
1∶87	3.5  	3.5mm = 1′ (H0 scale)
1∶76.2	4	4mm = 1′ (UK OO guage)
1∶73	4.167	25mm = 6′ 
1∶72–	4.233	1″ = 6′ (model aircraft)
1∶71	4.291	25mm stature
1∶67	4.574	25mm eye height
1∶65.3	4.667	28mm = 6′
1∶64–	4.763	S-scale (nominal “matchbox”)
1∶63	4.805	28mm stature
1∶60.1	5	5mm = 1′ (UK OO guage)
1∶60–	5.08 	d20 ground scale (1″ = 5′)
1∶60	5.123	28mm eye height
1∶57.2	5.333	32mm = 6′
1∶56	5.492	32mm stature
1∶52	5.855	32mm eye height
1∶50–	6.096	2cm = 1m (Euro dicast scale)
1∶48–	6.35 	¼″ = 1′ (US O guage)
1∶47	6.522	38mm stature
1∶45.2	6.743	1¼″ = 4′ 8½″ (0 scale)
1∶44	6.952	38mm eye height
1∶43½	7	7mm = 1′ (UK O guage, matchbox “yesteryear” & “king size”)
1∶36–	8.467	GURPS ground scale (1″ = 3′)