It would interesting to know those harmonics were found and defined. In regard to the guitar strings, when they are played on an electric guitar, it is possible to increase the presence of the strings through the amp and inline suppresive amplified switch to them to go out of octave artificially over and above their normal capacity.
It’s just symmetrical soliton measurements. The wave crests are symmetrical and penetrate our medium in way that is harmonious to our ears.
^^ Yeah, it’s which notes together make good frequencies. If you have two notes that are dissonant you’ll be able to hear ‘beats’. This is the waves interfering with each other instead of working together.
It’s also interesting that the 12 note scale isn’t perfect.
thinkzone.wlonk.com/Music/12Tone.htm
There are some keys that sound worse on a piano. A line from This is Spinal Tap goes something like, “I find D minor to be the saddest of all keys. When I start playing, people weep instantly.” This is because D minor needs adjustments to sound good, which you can’t do on the piano. If your guitar is tuned with perfect intervals to A = 440 Hz, it also won’t sound quite right in D minor.
For example, if you have a guitar, try playing the arpegio:
---------8----------
-----------8--------
----------------0—
------0------0------
----7---------------
–8-----------------
This is from a Rush song, La Villa Strangiato. You have to adjust the tunings to make it sound right.
And the reason for harmonics is they are at the nodes of the different waves that make up the note of the string.
Maybe I’ll do a demonstration on my guitar of these effects.