Jim Overby said:
I read Joe’s reply and I’m still confused about scale and gauge. Track for both “1” and “G” is 45mm? Is this correct:
1:22.5 Ga: 3 Standard 4’81⁄4" Ga.
1 3’ narrow 3’31⁄3" Ga. I THINK the Bachmann coaches are supposed to be narrow guage.
0 2’ narrow 2’41⁄8"
OK, but it’s going to be a tad math intensive, and please excuse me if I sound a bit pedantic.
(Well, not only that, but it hardly makes a lot of sense…)
First, scale and gauge are not necessarily tied together. Gauge is typically measured as a distance between the rails. Scale is the ratio (or whatever) of a model to the real thing.
For #1 gauge, there’s 45mm between the rails; to keep it imperial, that’s 1.771654 inches.
A scale model is most generally a physical representation of an object, which maintains accurate relationships between all important aspects of the model and we usually represent scale as a fraction or a ratio…such as 1:22.5.
What this means is that the model is 1/22.5 size of the real object being modeled.
Let’s start with Standard Gauge. That’s 4’ 8 and 1/2" inches, or 56 1/2". If we want to model standard gauge, we take our distance between the rails (1.77") and divide it into the REAL life distance - 56 1/2". That is 56.5/1.771654 = 31.89.
What does THIS mean. It means every foot/inch/yard/whatever of our model represents 31.89 feet/inches/yards/whatevers in real life. Or, to look at it another way, our model is 1/31.89 the size of the original. Let’s round that up and just call it 1/32. So, of course, we typically use 1:29 for standard gauge…
How about 3’ narrow gauge?
Same sort of math. 3’ is 36". So, 36/1.771654 = 20.319994762 (approximately (http://www.largescalecentral.com/externals/tinymce/plugins/emoticons/img/smiley-foot-in-mouth.gif)). That’s commonly represented as a ratio of 1:20.32. Of, if you can’t see that well, like me, you just settle for 1:20.
Let’s do the same thing with 2’ gauge. 24/1.771654=13.546631746. Or, rounded up, that’s 1:13.5 scale? Wait, what??? Never heard of that one, you say? They call it 7/8 scale. What this means is that 7/8" equals 1 scale foot. Huh? OK, let’s go through our math one more time. 12" divided by 7/8" is equal to 13.7. Hey, pretty close to that 13.5 business, eh? I have NO idea why they used it.
But, what about the “original” scale of 1:22.5??? How did they come up with THAT?
Europeans (and most of the world) use the metric system. Our narrow gauge is a yard (3 ft) between the rails; theirs is a meter between the rails. A meter = 39.37008". So, back to the math… 39.37008/1.771654 = 22.2223928112. Well, I don’t know HOW you round that and get 22.5, but then again, I am not LGB…(http://www.largescalecentral.com/externals/tinymce/plugins/emoticons/img/smiley-foot-in-mouth.gif) (Or, maybe that’s why folks claim that LGB uses a rubber ruler?)
TL;DR: Whatever, who understands math anyway? (http://www.largescalecentral.com/externals/tinymce/plugins/emoticons/img/smiley-cool.gif)