Calculator Examples

 

https://www.calculator.net/scientific-calculator.html

 

Example: Your Stratocaster has a 25-1/2" scale...

 

How far from the bridge

 

should the 15th fret be ?

 

hint: The equal Tempered Scale

 

         is based on the 12th root of 2.

 

 

 

(1.05946309)**15 = 2.3784623

 

25.5 ÷ 2.3784623 = 10.721429

 

Your yardstick is in 64ths...

 

.721429 * 64 = 46

 

Answer: 10-46/64" from the bridge,

 

If the E string is 329.627 hz...

 

What should the frequency of

 

the 15th fret E string be ? 

 

Answer: 784 hz.

 

Since 440 and 880 are A notes...

 

What note is 784 hz ?

 

Answer:

 

Multiply 784 by 1.05946309.

 

Multiply it again.

 

Now you're at 880.

 

One fret below A is G#.

 

One fret below G# is G.

 

 

 

The 15th fret E string

 

Plays G (784) and the fret

 

should be 10-46/64" from the bridge.

 

How far from the nut is that ?

 

25.5 - 10-46/64" = 14-50/64"

 

Got it ?

 

 

 

Example: How many times

 

must a 27" bicycle's wheel

 

rotate to travel 1 mile ?

 

 

 

(use the = between calculations)

 

 

 

Answer: 27π =

 

÷ 12 =

 

÷ 5280 =

 

1/x = 747 tire rotations.

 

 

 

what about a 20" bike ?

 

20π =

 

÷ 12 =

 

÷ 5280 =

 

1/x = 1008 tire rotations.

 

 

 

if you put tires with 1/5" thicker

 

tread on your 27" bike,

 

your 27" would become

 

a 737...

 

 

 

Wavelength to Frequency Calculator 

What Radio Frequency 

 

would a 20" wheel

 

resonate with..?

 

hint:1 meter =39.37"

 

Answer: 187.8 mhz

 

(Band III vhf)

 

TV channel 9