I've always taken the numbers to relate to tuning as a function of stiffness. The fact that they are not literal representations of our ideal tuning curves is only an indication that our understanding of the problem has a long way yet to evolve. The formulae may be incomplete or perhaps just a foggy picture; but even Einstein's Theory of Relatively has holes (at least according to many current string theorists, not having crunched the numbers myself ;). The other remaining question is, can an acceptable range of inharmonicity ever be determined objectively? Jude Reveley, RPT Absolute Piano Restoration, LLC Lowell, Massachusetts (978) 323-4545 ----- Original Message ----- From: "William Truitt" <surfdog at metrocast.net> To: <pianotech at ptg.org> Sent: Friday, May 22, 2009 6:13 PM Subject: Re: [pianotech] Steinway A Bass String Rescaling > Hi Jude: > > I have rescaled a number of pianos in the past, and I have always wondered > what the inharmonicity numbers really mean. I know they are supposed to > fall in the hockey stick on the graph, but really I have nothing for them > to > stand in comparison to. Typically in the past, I have aimed to even out > the > inharmonicity and the tensions (with attention paid to breaking > percentage) > as much as possible without taking the scale in another direction (i. e. > making the scale better at what it already is). What is interesting about > the present discussion is that we are moving the general parameters, as > well > as working to achieve evenness through the scale. > > A couple of months ago there was an article in the Journal about bass > scaling. It's jist was that it is desirable to lower the bass > inharmonicity, at least to the level that we would see in a concert grand. > Interestingly, the author gave no clue as to how he went about rescaling > the > bass strings to achieve the desired values. > > I understand that a piano that has little or no inharmonicity would be > pretty milque toast. Still, the question remains: Given the physical > limitations (as in the laws of physics) of a particular sized piano with a > given string length for Note (fill blank), what is a desirable and > appropriate range, how do we determine that, and what manipulations would > we > engage in to achieve that? Since my discussion was about the scaling of a > 6' 1" Steinway A, we can use that if we need to narrow things a bit. > > Thanks for your comments. > > Will > > -----Original Message----- > From: pianotech-bounces at ptg.org [mailto:pianotech-bounces at ptg.org] On > Behalf > Of JUDE REVELY > Sent: Friday, May 22, 2009 8:09 AM > To: pianotech at ptg.org > Subject: Re: [pianotech] Steinway A Bass String Rescaling > > As I understand it, there are also things that can be done to the whip to > allow for increased flexibility at the ends and the ability to use a > smaller > > diameter core. This was the nature of Dr. Sanderson's last string related > patent. I believe the Sanderson's call their version an "inharmonicity > lump," although as Ron states, the benefit is in the smaller core, and the > inharmonicity is along for the ride. There is a point of diminishing > return, > > however. Too little inharmonicity in the bass and there will be no tone > whatsoever. So it is still important to manage the low bass inharmonicity > so > > that it is within an appropiate range and even from note to note. > > Jude Reveley, RPT > Absolute Piano Restoration, LLC > Lowell, Massachusetts > (978) 323-4545 > > ----- Original Message ----- > From: "Ron Nossaman" <rnossaman at cox.net> > To: <pianotech at ptg.org> > Sent: Thursday, May 21, 2009 9:24 PM > Subject: Re: [pianotech] Steinway A Bass String Rescaling > > >> William Truitt wrote: >> >>> Those of you on the list who have engaged in bass string rescaling along >>> these lines, I would most appreciate your comments and your observations >>> on the aural benefits derived from such machinations. >> >> >> Getting the rebar cores replaced with something smaller and more >> flexible, > >> like that 0.053" you noted, is a big low bass improvement. Add double >> wrapping, and you've improved the flexibility of the string enough that >> there might actually be some fundamental in it instead of a lot of high >> partial clank. Getting the break% up is then easy because of the smaller >> diameter core. The inharmonicity decrease is an artifact of these >> beneficial changes, and is just more or less going along for the ride. >> Ron N >> >> > > > > >
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