In this question, assume that the numbers give the relative LENGTHS of the strings. (The numbers are 4, 6, 8, 9, 12, 16). Each of the strings with lengths 6 through 16 will form an interval with respect to the shortest string, 4. Enter the NAME of the interval. (Use "fourth" and "fifth" instead of Perfect fourth and Perfect fifth). In some cases, you may have to combine intervals. For this, use a "+" sign. For example, the last string (16) would be octave+octave.
6:4 = fourth
8:4 = fifth
9:4 = sixth
12:4 = octave
16:4 = double octave
The numbers (6) through (16) give the relative WEIGHTS on the strings. Again, give the interval that the strings (6) through (16) in that order make with respect to string (4). If the frequency is exactly equal to an interval that we know, give the name of the interval. Otherwise, give the ratio with three decimal points (for example 1.234).
6:4 = 1.414
8:4 = 2.000
9:4 = 2.121
12:4 = 3.000
16:4 = 4.000