Rob, The inertia IS dependent on the distance from the pivot, BUT... A friend of my did some calculations and measurements on the "total" inertia of the key/wippen/shank/hammer system. Because of the mechanical advantage of the key, it has the least effect on the inertial loading you would feel when pressing the key. The hammer mass has the most. Just try adding some of the hammer shank weights to your test piano and compare the difference you feel with the key weight experiment you already did. I think you will find that although you can adjust things to that the upweight and downweight end up "in the zone", the feel will be dramatically different. doug richards San Jose, CA > -----Original Message----- > From: Rob Kiddell [SMTP:atonal@telusplanet.net] > Sent: Tuesday, October 06, 1998 7:29 PM > To: pianotech@ptg.org > Subject: Get the Lead out > > Here's a question: > > Recently, I published an article on grand piano action diagnosis, > and one of the conclusions I came to was re-balancing keys with many 1/2" > leads per key. Basically I remove larger leads near the balance rail and > insert smaller leads near the end of the key. This seems to make the > actions feel inertially lighter, and there is less 'thumping' from heavy > keys on balance rails. > > However, it was brought to my attention that (I quote here) > > > "When the key is moving the "moment" of inertia becomes much more > important. Unfortunately it is affected by the distance from the balance > rail by a factor of R squared. This means a lead weight 2 cm from the rail > might have a moment of inertia of 1, but that if the weight is 4 cm from > the rail the moment of inertia will be 4, 6 cm = 9 and 8 cm = 16!" > > > This all makes sense. However, when I played the piano with 5 1/2" leads > per key, it felt heavy to play, despite the 55 downweight 30 upweight > average. With lead removed from near the balance rail and 3/8" lead > inserted farther away to balance the key to original weigh-off, the > action wasn't as hard on my forearms to play for long periods. > > > Mathematically, it seems that the smaller leads further from the balance > rail would result in the same inertia as the larger leads, but my arms > don't get tired playing! > > > Any ideas? > > > > Rob Kiddell, > Registered Piano Technician, PTG > atonal@telusplanet.net > > "Windows NT crash > I am the blue screen of death > no one hears you scream" > > -Windows haiku error message
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