Here is a plot of list of wavelengths λ ($\lambda$, inverse proportional to frequencies f) of some strings, or sound waves.
Let us call the wavelengths as
λ1: λ2: λ3: λ4: λ5: λ6: λ7 and so on
= 1: 1/2: 1/3: 1/4: 1/5: 1/6: 1:7 and so on
Then their frequency ratios are
f1: f2: f3: f4: f5: f6: f7 and so on
= 1: 2: 3: 4: 5: 6: 7 and so on
Question
- What are the famous (named) chords or note intervals known to produce harmonics?
For example, I know:
Octave requires λ1: λ2 = 1: 1/2, and f1: f2 = 1:2.
Perfect fifth requires λ2: λ3 = 1/2: 1/3, and f2: f3 = 2: 3.
Major chord: λ4: λ5: λ6 = 1/4: 1/5: 1/6, and f4: f5: f6 = 4: 5: 6.
Mainor chord: λ10: λ12: λ15 = 1/10: 1/12: 1/15, and f10: f12: f15 = 10: 12: 15.
What are others?
- What are the famous (named) chords or note intervals known to produce noises?
- Examples?
- How approximate are they close to the 12-root of 2 (12-tone equal temperament)?
By searching online, I found a partial answer: https://pages.mtu.edu/~suits/chords.html