I don't think is has much to do with the membrane at all. The musical ratio, is defined by how long a particular frequency's speaking length has to be relative given the breaking load of the wire you are using. In the treble sections there is not much room to mess with shape much, which is why a D has pretty similar treble shape to a 5 ft piano. The treble shape of the bridge is really determined for us by the physical parameters of each note's frequency and wire being used. As the scale descends from the treble, one can mess with the lengths some, but only in a way that compromises bp% numbers, if wraps are not part of the mix. There is more messing allowed in a scale using wrapped strings, depending on where the bass break is chosen to be, but really, in a plain wire scale, the wire you are using determines length.
I have played with the numbers, to see if I could change bridge shape. Doing this, one quickly sees, especially in the two treble sections, that the shape of the bridge is not terribly negotiable, and is determined by the frequency and breaking point numbers. I suppose you can choose to move the front termination to effect bridge shape, but given strike point rations, that number as well, is not negotiable much either. In the treble, there is none to very little negotiability, and in the tenor some but not much.
In wrapped sections, there is more length negotiation available, but, from the look of this dude's drawings, I'm not thinking any wraps are on offer anyway, so that negotiability comes off the table.
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Jim Ialeggio
grandpianosolutions.com
Shirley, MA
978 425-9026
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Original Message:
Sent: 12-01-2019 11:49
From: Chris Chernobieff
Subject: Membrane Driving Point Ratio Help
In the book by Keith Hill called "Treatise on the True Art of Making Musical Instruments, A Practical Guide to the Hidden Craft of Enhancing Sound" (Yes, That's the whole Title)
The author discusses Membrane Driving Points and offers a diagram. He explains that the driving points are in musical ratios. He later explains how past makers put the bridges on those locations. For me, the author doesn't explain how those positions are found. Can anyone figure it out?
(see pics)
Thanks
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If it's pinging, it's not singing, it's just ringing,
chernobieffpiano.com
grandpianoman@protonmail.com
Knoxville, TN
865-986-7720
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