There's not really a link between inharmonicity and loudness. Choices have to be made (hopefully) when rescaling as to a balance between smooth tensions, inharmonicity and loudness (Z factor). Different manufacturers/scalers will choose different criteria to emphasize and different shaped curves to follow. Perfectly smooth curves in all areas are difficult, if not impossible, to achieve. Small jumps between sections are common though the goal of smooth tension, in my view, should trump other factors. Inharmonicity isn't something you really hear though it can, obviously, effect how a piano tunes. Changes in tension and overall tension levels have a definite impact on aural perception. I'm not sure yet about the loudness factor. I find inconsistencies in the numerical data and my perceptions. Soundboard and bridge design, of course, will interplay with scaling for overall impact and certain perceptual details. David Love davidlovepianos at comcast.net www.davidlovepianos.com -----Original Message----- From: pianotech-bounces at ptg.org [mailto:pianotech-bounces at ptg.org] On Behalf Of Ric Brekne Sent: Friday, September 29, 2006 6:13 AM To: pianotech at ptg.org Subject: Call for scaling spreadsheets Hi Stéphane Why yes, of course we want to look at the overall amount of inharmonicity in re-scaling. My point was that once you settle on a standard to use for calculating... then that becomes your <<reference>>. Any reference (within reason of course) can be used to evaluate both note to note inharmonicities and overall levels yes ? Now of course if you run into a formula for Inharmonicity that doesnt even come close to representing real levels then you have a problem ... :) But anything reasonably close to real inharmonicity levels should serve the purpose well... as long as you remain consistant in your usage of it. I'm not sure about a link between inharmonicity and projection... tho I havent really thought about it that way. Usually I associate projection with loudness/power which is more a function of tension I think.... I'm relatively new at all this so I am sure others will pipe in with needed corrections. Yes ?? Cheers RicB Hi Ric. While evenness of inharmonicity seems indeed obviously desirable, don't we want to be able to evaluate the overall inharmonicity of a piano ? I mean you can desing a scale that will be even in inharmonicity, but whose overall inharmonicity is so high that the piano sounds funny, same (but less probable) for a piano with too low inharmonicity. Isn't there a link between overall inharmonicity and "projection" (ability of the piano to fill a space with it's sound) ? There is certainly a link between overall inharmonicity and personnality (sorry for that vague and subjective word). Regards Stéphane Collin
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