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Scale percentage increase from 1:100 to 1/64?


deeslexia

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This is crazy, as an Interior designer I am used to scales, but mostly 1.100, 1.50 etc which are clearly marked on a scale rule.

 

I have some Ikea paper tape measures which I can read off @ 1.100, but I can photocopy one to create 1.64 - but by what percentage ?

 

I know it's simple, but my mind has gone blank!!! 

 

To be honest, it's just for buildings behind Corgi trams which are non typical but look OK when detailed a bit.

 

Thanks 

 

dee

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Thanks Andy, you got the answer in before me! I was going to say something similar:

 

100 divided by 64 = 1.5625. So to convert 1:100 to 1:64, multiply a known dimension by 1.5625, or increase it by 15.625%. Simples!

 

For converting beween modelling scales, see: http://www.archtoolbox.com/measurements/scale/changescale.html

 

Or just use this online scale calculator: http://jbwid.com/scalcalc.htm

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  • RMweb Gold

Thanks Andy, you got the answer in before me! I was going to say something similar:

 

100 divided by 64 = 1.5625. So to convert 1:100 to 1:64, multiply a known dimension by 1.5625, or increase it by 15.625%. Simples!

 

For converting beween modelling scales, see: http://www.archtoolbox.com/measurements/scale/changescale.html

 

Or just use this online scale calculator: http://jbwid.com/scalcalc.htm

 

Right for multiply by 1.5625. But that is not at all the same as increasing it by 15.625% The percentage increase is 56.25%

 

When using a photocopier, it will ask for a multiplier as a percentage which would be 156%. Problem is that the percentage relates to paper area not linear measurement which is what the OP needs. So I believe that the correct answer is 1.5625 x 1.5625 = 2.4414 and what he will need to input to the photocopier is 244%.

 

S scale is of course one of the "pure" imperial scales. So OP can verify if his new scale rule is accurate by checking that each graduation is at 3/16ths of an inch so long as he can find an "old-money" ruler with 16ths on it.

 

For greater ease/accuracy, probably better to start from a 1/50 scale rule and work downwards.

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Right for multiply by 1.5625. But that is not at all the same as increasing it by 15.625% The percentage increase is 56.25%

 

When using a photocopier, it will ask for a multiplier as a percentage which would be 156%. Problem is that the percentage relates to paper area not linear measurement which is what the OP needs. So I believe that the correct answer is 1.5625 x 1.5625 = 2.4414 and what he will need to input to the photocopier is 244%.

 

S scale is of course one of the "pure" imperial scales. So OP can verify if his new scale rule is accurate by checking that each graduation is at 3/16ths of an inch so long as he can find an "old-money" ruler with 16ths on it.

 

For greater ease/accuracy, probably better to start from a 1/50 scale rule and work downwards.

 

Thanks for the correction, Joseph. At the time of posting I had a slightly uneasy feeling that the latter part of my calculations were in error, but couldn't put my finger on it.

 

As for S scale being in origin an imperial scale - you are correct. But I'm not a member of the Imperial Police! In essence it doesn't matter how you measure out one foot or one metre, so long as the finished model comes out to 1:64 scale. Personally, I use millimetres for convenience, where 4.76mm equals one foot, or 15.62mm equals one metre, as I can't think in fractions of an inch. In practice, these days it is just as easy to take a known prototype dimension, then using a pocket calculator or a smartphone to convert to millimetres (if necessary), then divide by 64. All that is important is that our resulting models are built to a consistent scale ratio of one sixty-fourth the size of the real thing!     

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Right for multiply by 1.5625. But that is not at all the same as increasing it by 15.625% The percentage increase is 56.25%

 

When using a photocopier, it will ask for a multiplier as a percentage which would be 156%. Problem is that the percentage relates to paper area not linear measurement which is what the OP needs. So I believe that the correct answer is 1.5625 x 1.5625 = 2.4414 and what he will need to input to the photocopier is 244%.

 

 

I don't think the second part is correct.  On the copiers I have used, the input ratio is linear.  As far as paper size is concerned, going from A4 to A3, the area of the paper is doubled, but the enlargement ratio used is 141%.  So stick to setting the copier to 156% and that will take the drawing from 1:100 to 1:64 (ish) as not all copiers as precise as others.  It is worth doing a calculation of a known dimension, and then checking whether the new enlargement is correct, and then, perhaps adjusting the %age a little to compensate.

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Great-I shall try x 156%.

I am all too aware the from A3 to A4 is 141%, which is why I got lost in translation!

Next is to cut and stick  A4 lengths of those useful full size/1:100 paper IKEA rules and whip up to the library and make myself some scale rules! 

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I don't think the second part is correct.  On the copiers I have used, the input ratio is linear.  As far as paper size is concerned, going from A4 to A3, the area of the paper is doubled, but the enlargement ratio used is 141%.  So stick to setting the copier to 156% and that will take the drawing from 1:100 to 1:64 (ish) as not all copiers as precise as others.  It is worth doing a calculation of a known dimension, and then checking whether the new enlargement is correct, and then, perhaps adjusting the %age a little to compensate.

On reflection, I think you are right. I don't have a photocopier to hand in my office as I just use the all-in-one computer printer.

 

But as I wrote, we do at least have an easy reference point to check that it has worked correctly. Each mark on the rule will be at 3/16ths and therefore 16 marks equal to 3 inches.

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Just to say many thanks- I now have some 1/64 approx* scales from IKEA paper measuring tape @156% !!

 

* I don't need total accuracy.

 

I also copied the background from one tram box and went for a monochrome image...maybe  a grey scale tram diorama ?!

post-19753-0-33360500-1425929546.jpg

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