Knowledge Tools |  | Double-click on any word that you do not understand in the text to get its meaning from Cambridge Online Dictionaries. To see the Greek translation of the word, select the option "Greek" and then double-click on the word again. To return to the Cambridge Online Dictionaries select the option "English". Select Greek translation or English meaning.
Problem Solving Assuming the original string is the first note (C), two-thirds of the string will achieve the fifth note of the scale (G). The ratio of the new length to the original length is (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 reciprocal) The new tone will have a frequency 400 Hz or 400 Hz to 300 Hz = 4 to 3