It is possible that there is a beating in single strings caused by loose bridge pins due to cracking in the bridge. Put a solid piece of metal up against that pin and if it quits, you've found it. If it only loses volume, you're just damping it. Re-seating the bridge pin in epoxy is a good solution for loose bridge pins where there is cracking (otherwise going up a size is good too and somewhat less permanent). A quick and easy way I've tried on a cheap old grand is to use ultra thin CA glue and let it wick in around the pins and fill the cracks. That has held up well for a year now. Cracks in the sound-board, loose ribs, loose bridges, case parts, loose screws are all possible culprits. Typically the effect would be local to several keys. The other possibility is sympathetic resonances: an unbraided back-scale, loose glass in a picture frame, cd music cases nearby etc. Keep us apprised of developments in the investigation, more detail helps to narrow things down to a solution. All pianos require regular maintenance (more than tuning) to stay in good condition. Certain cheap pianos may have inferior wood and other parts utilized in the construction and you should be wary of them over longevity issues. The issue becomes one of cost of restoration versus resulting value versus cost of new replacement. There isn't a big market for restored old uprights, it is hard to get your investment out of them. Certain better named grands are holding their value better. People always want a "baby-grand" in their living room even if it will only be a seldom-used piece of furniture. Good luck and have fun, Andrew Anderson
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