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ctviolin Super Member
Joined: 07 May 2009 Posts: 961 Location: Roswell
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Posted: Thu Aug 27, 2009 9:51 pm Post subject: Long Arch shape |
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I'm curious who is willing to talk about what shape they use for their long arches?
Do you use a standard arch shape?
Follow a poster?
Is every one different?
How close are the top and the back arch shape?
Does anyone else put the apex of the belly under the bridge and the apex of the back dead center?
Etc? |
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Michael Darnton Moderator
Joined: 23 Mar 2007 Posts: 1281 Location: Chicago
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Posted: Thu Aug 27, 2009 10:39 pm Post subject: |
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I use a circle for the back. A friend who's a well-known maker disagreed, telling me that a catenary fit all the del Gesus in the Biddulph book. I drew him out, on the computer, a circle against a catenary. They were exactly the same over that distance with that (minimal) curvature. I'd sort of expected that, but not to that extent. You can check that yourself: http://darntonviolins.com/images2/allcurves.jpg
For the top, I use a flatter circle between the widest parts of the bouts, then get down to the ends gracefully. The highest points of the top and back, both, are at the midpoint.
I extract as much data as I can from the poster and pictures, then try to fill in the blanks and generally straighten things out. |
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kubasa Member
Joined: 13 Sep 2007 Posts: 212
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Posted: Fri Aug 28, 2009 11:37 am Post subject: |
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Michael, that is a fantastic image. Thank you for sharing this. To a visual learner like myself, this is a big help. |
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Dave Chandler Super Member
Joined: 31 Oct 2007 Posts: 691 Location: Mt Mitchell in North Carolina
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Posted: Fri Aug 28, 2009 11:37 am Post subject: Curves |
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I found a site somewhere that had a catenary curve formula in a program where you simply plugged in the length and height you wanted at apex, and it drew it out for you in full size so you could print it out from your computer. I hated math in high school, so any formula more complicated than a+b and my eyes start to glaze over. Darned if I didn't lose that "program" last time I cleaned out all my extraneous files.
Does anyone know where to find it? It REALLY was helpful.
I also took one of those laser level devices, and in a dark room, with the laser "locked" rather than free floating, moved the laser line up and down the center of the back, and you could really see very well whether you had a symetrical curve on either side of the center of the back/front at any point. Really cool. _________________ Dave in the Blue Ridge
Southern Violin Association
"Success is the ability to go from one failure to the next with no loss of enthusiasm" Winston Churchill
"I took the road less travelled, and now I don't know where I am." Marco Polo |
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Mark Sullivan Junior Member
Joined: 13 Apr 2008 Posts: 18 Location: Orland Park Illinois
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Dave Chandler Super Member
Joined: 31 Oct 2007 Posts: 691 Location: Mt Mitchell in North Carolina
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Posted: Fri Aug 28, 2009 5:53 pm Post subject: Cycloid Generator |
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Great, that's the one I was looking for. Its on my desktop now. _________________ Dave in the Blue Ridge
Southern Violin Association
"Success is the ability to go from one failure to the next with no loss of enthusiasm" Winston Churchill
"I took the road less travelled, and now I don't know where I am." Marco Polo |
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L P Reedy Super Member
Joined: 02 Apr 2009 Posts: 276 Location: Brevard, NC
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Posted: Fri Aug 28, 2009 6:43 pm Post subject: |
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Michael Darnton wrote: | I drew him out, on the computer, a circle against a catenary. They were exactly the same over that distance with that (minimal) curvature. I'd sort of expected that, but not to that extent. |
I determined the same thing a while back by simply drawing an arc on poster board with a large compass, then hanging a chain in line with it. The chain perfectly covered the pencil line, which covered a much larger arc than we are concerned with. |
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Michael Darnton Moderator
Joined: 23 Mar 2007 Posts: 1281 Location: Chicago
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Posted: Fri Aug 28, 2009 7:07 pm Post subject: |
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Dave, don't just go for the numbers you need: play with the extremes. Some interesting things happen at the extremes that are also mimicked in Cremonese archings. For instance, higher and narrower = less, tighter scoop, wider convexity in the center. You can see how this develops if you go to the extremes. The cool thing is that Cremonese arches do this, too, exactly as the cycloid would predict. |
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CT Dolan Member
Joined: 29 Jun 2008 Posts: 143
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Posted: Sat Aug 29, 2009 11:42 pm Post subject: |
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I have mentioned this elsewhere before, but one thing that intuiges me is the manner in which the long arch in the belly of the violins of Stradivari and del Gesu (as if these guys are the only two who made violins before, but I digress...) lacks the flat area near the bridge. Actually, with regard to del Gesu it almost appears as though this flat area diminishes over time, disappearing altogether late in his career (but I may be wrong with regard to the "diminishing" aspect and need to spend more time studying those for which I do have information). Anyway, intruiging stuff. Not sure what to make of it yet, but it is intgruiging nonetheless.
By the way, ever hear the ex-Leduc del Gesu of 1745? Buy Szeryng playing the Bach S&P's and you'll hear one very, very fine violin in the Leduc. I guarantee it will have you wanting to attempt to reproduce that same gorgeous tone, graceful long arch in the belly and all. |
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ctviolin Super Member
Joined: 07 May 2009 Posts: 961 Location: Roswell
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Posted: Sun Aug 30, 2009 9:58 am Post subject: |
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Michael Darnton wrote: | I use a circle for the back. A friend who's a well-known maker disagreed, telling me that a catenary fit all the del Gesus in the Biddulph book. I drew him out, on the computer, a circle against a catenary. They were exactly the same over that distance with that (minimal) curvature. I'd sort of expected that, but not to that extent. You can check that yourself: http://darntonviolins.com/images2/allcurves.jpg
For the top, I use a flatter circle between the widest parts of the bouts, then get down to the ends gracefully. The highest points of the top and back, both, are at the midpoint.
I extract as much data as I can from the poster and pictures, then try to fill in the blanks and generally straighten things out. |
You know what?
I think I can do this.
It'll be interesting to move away from a catenary.
I'll have to think about that mid-point thing for a while.
Taking the high point of the belly away from directly under the bridge, is going to hurt a bit.
Thanks Michael. |
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Michael Darnton Moderator
Joined: 23 Mar 2007 Posts: 1281 Location: Chicago
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Posted: Sun Aug 30, 2009 12:26 pm Post subject: |
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Think of the violin as a designed object, not a logical object. :-)
I was just reading the notebooks of Leonardo da Vinci. He proposed a system for moving rivers uphill by a system of locks combined with siphons to move the water upwards (think about that one for a minute). He also suggested that the continuation of the sound of a bell might be because the bell continues to vibrate after it was struck. There were other things in the book that remind me that the average 5th grader of today might know more about science than Leonardo did. If he was the one who designed the violin, as some have suggested, the smartest man of his time certainly wasn't looking at it the same way we do! |
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ed s Junior Member
Joined: 24 Mar 2007 Posts: 6 Location: belle river , ontario
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Posted: Sun Aug 30, 2009 6:31 pm Post subject: Longitudinal arch |
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Craig - just some more food for thought, you may want to check out this web
site http.//www.kcstrings.com/anton-krutz-geometry.html you may have
seen this before, in case you havn't he describes in condensed form how he
develops the top and bottom plate arch. |
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Mikes Member
Joined: 28 Mar 2007 Posts: 80 Location: Vermont, USA
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Posted: Tue Sep 08, 2009 10:00 am Post subject: |
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"]I use a circle for the back. A friend who's a well-known maker disagreed, telling me that a catenary fit all the del Gesus in the Biddulph book. I drew him out, on the computer, a circle against a catenary. They were exactly the same over that distance with that (minimal) curvature. I'd sort of expected that, but not to that extent. You can check that yourself: http://darntonviolins.com/images2/allcurves.jpg"
Michael, In your drawing I see that you drew in the 1 and 5 cross arches, in application would you expect the long arch curve to run thru those points? Or would you adapt the long arch curve to the cross arch points? |
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Michael Darnton Moderator
Joined: 23 Mar 2007 Posts: 1281 Location: Chicago
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Posted: Tue Sep 08, 2009 11:32 am Post subject: |
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I adapt the long arch to fit those templates, more or less. Obviously if you tip them up on the inside, until they merge with the circle, there won't be a step as there is in the illustration. I use half-templates in those areas. |
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MANFIO Super Member
Joined: 11 Apr 2007 Posts: 458 Location: Sao Paulo
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