You got it right! Good for
Assuming the original string is the first note
(C), two-thirds of the string will achieve the fifth note of the
The ratio of the new length to the original
(2 / 3) to 1 or
2 to 3
The ratio of the frequencies is the reciprocal, 3
to 2. i.e. the original has frequency 300 Hz and the new frequency
is 450 Hz.
450 Hz to 300 Hz = 3 to 2
For the fourth note (F), you should shorten the
length to 3/4 of its original length.
String ratio: (3/4) to 1 or
3 to 4
Frequency ratio: 4 to 3 ( a
The new tone will have a frequency 400 Hz
400 Hz to 300 Hz = 4 to 3
Click here to go to Fibonacci.