Another scope question

[Dougan]

Hmm... I am confused now by the four clicks per increment.

...which worries me...

...I've just checked and between each number there is 4 clicks - I did check the full amount of clicks, and I'm sure it came close enough to the 100 MOA it's meant to be...?

[Dougan]

It's the relationship to the 100 yards that gives it away, squirrel. Sines, tangents and cosines. An inch subtends an angle of almost a minute at 100 yards.

Yes, I believe mathematically it is 3600*tan(1/60) at 100 yards, which is approximately 1.047".

[HALODIN]

No I think it's quite deliberate, as 3600" = 100 yards.

so is it just a happy coincidence that 1 minute is very close to 1 inch...?

[Dougan]

Hmm... I am confused now by the four clicks per increment.

...which worries me...

...I've just checked and between each number there is 4 clicks - I did check the full amount of clicks, and I'm sure it came close enough to the 100 MOA it's meant to be...?

I've just realised that the Besonder that the Fox is replacing has 7.5 numbers with 8 clicks per number; so adding up to the same amount of clicks per full turn...

...what number do standard/normal scopes go up to on the turrets...or does it vary?

[Dougan]

No I think it's quite deliberate, as 3600" = 100 yards.

so is it just a happy coincidence that 1 minute is very close to 1 inch...?

Yes but what is the relationship between minutes (a measurement of angle) and inches/yards (measurements of distance)?

I understand (actually accept is a better word) what Rox and Badger are saying about 'tan' etc...but is there a more direct (as opposed to mathematical) and simple reason why it's so close?

[HALODIN]

I'm going to change my answer if I may and say yes it's a coincidence. You've had me playing with a calculator for the last 30 minutes and my assumptions weren't correct. Plus it's late...

Good question though.

is there a more direct (as opposed to mathematical) and simple reason why it's so close?

[Charlotte the flyer]

Isn't the zero range at Bisley something odd like 77 yds, which corresponds to 1" / min.

Or did I dream that.

[southern_guy]

Charlotte,

The Bisley Zero Range is 71 feet 7 inches, which makes 1 minute equivalent to 1/4 inch on the target.

Hope this helps?

[southern_guy]

1 minute of angle = 1/60 of a degree or 0.01666666666666666666666666666667 in Decimal

Tan of an angle = Opposite / Adjacent

100 yards = 3600 inches.

Tan (0.01666666666666666666666666666667) = 2.9088821687031590812104313336462e-4

Multiply 2.9088821687031590812104313336462e-4 by 3600 and the result is 1.0471975807331372692357552801126

So very precisely 1 Minute of Angle = 1.0471975807331372692357552801126 inches at 100 yards

This is standard mathematics.

[Dougan]

C'mon OP...what's your verdict on the 4 clicks per increment...?