this post was submitted on 26 Jan 2025
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As Frozengyro@lemmy.world mentioned, you can have interesting results by using harmonics - tones that are a whole (k) multiple of the base frequency because then the string vibrates in a standing wave forming a series of k+1 nodes (including ends) and k antinodes equally spaced across its length. Such notes are:
Frequencies and relations are exact, closest chromatic (piano) notes other than A are approximate, the deviation is expressed in whole cents (hundreths of semitones). Notes more than 20 cents off the chromatic scale will probably sound off so they are discouraged. You could continue forever but frequencies above that will have a very weak response.
Yes, you will get some resonance on non-integer multiples but way less.