Discordant middle string.
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Ok well that helps a lot. 22 1/2 " is a very short scale length... practically like an epinette.
You don't say what gauge your other strings are - that would help!
But .012 for a middle string at 22-23" scale length is too thin a string for DAd or CGC... and whatever tuning you use, a string of .012 for a middle string will be rather loose... so that when a capo presses the strings even further down than the nut slot level, that middle string is likely to vibrate against frets when strummed open. It's a shame you already filed down frets, as that's a more drastic and risky solution (sort of like cutting off a table leg if the table wobbles).
All you need do here is put on strings that are more appropriate to your short scale length. A heavier set will not be lax and vibrate so much that they create sympathetic ringing against the frets. The middle string will likely need to be at least a .014, for example. How did the current set of strings get chosen?
The Strothers gauge calculator is very helpful when ordering strings: http://www.strothers.com/string_choice.html
FWIW, your described 'ringing' is not a string that is 'dischordant' (meaning a note out of tune)... it's more a noise, a wolf tone, or a buzz type issue.
updated by @strumelia: 01/28/22 03:21:21PM
