# 3:1 (or 1:3) interval, does it exist ? How to perform it from a C?

Given that a composed sound is composed of a fundamental frequency and its harmonics (multiples of the fundamental), we could easily image that a pitch (with a fundamenal frequency f) is played and then another pitch with fundamental frequency 3f is played. Wouldn't the resulting sound be highly agreable to hear ? I tend to think it would be agreable because all the harmonics 3f, 6f, 9f, and so on would "resonate".

What would be the name of such an interval (3:1 or 1:3 would be the ratio, but is there a name?) ?

For example, if I play a C (third fret on the second string of a guitar), what should be the next key I need to play in order to do a 3:1 (or 1:3) interval ?

• That C note is 3rd fret, 5th string. They're always numbered thin to thick.
– Tim
Feb 27 at 10:39

Wouldn't the resulting sound be highly agreable to hear ?

Likely yes. It is attributed to Pythagoras to discover that notes which frequency ratios can be expressed with small integers are consonant.

What would be the name of such an interval (3:1 or 1:3 would be the ratio, but is there a name?) ?

Twelfth or an octave + fifth.

For example, if I play a C (third fret on the second string of a guitar), what should be the next key I need to play in order to do a 3:1 (or 1:3) interval ?

I guess you mean C on the third fret of the fifth string? (Counting starts from the treble strings). The note would be G on the third fret of the first string.