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Free Plate Tuning, Part One: Theory

Free Plate Tuning, Part One: Theory

by Alan Carruth

Originally published in American Lutherie #28, 1991 and Big Red Book of American Lutherie Volume 3, 2004

See also,
Free Plate Tuning, Part Two: Violins by Alan Carruth
Free Plate Tuning, Part Three: Guitars by Alan Carruth



I started learning free plate tuning on violins and violas more than ten years ago from Carleen Hutchins. For those who have not had the pleasure of her acquaintance, Carleen is one of the founders of the Catgut Acoustical Society and its permanent secretary. She is an able scientist, a great teacher, a fine luthier, and a self-confessed mediocre violist. While working with physicist Frederick Saunders almost thirty years ago she helped rediscover and update the old Chladni method of visualizing the vibrations of plates. Her subsequent research, using Chladni patterns as a window into the differences between good and poor violins earned her a silver medal from the Acoustical Society of America.

Violin makers have traditionally used some variant of “tap tone” tuning to guide them in working out the final graduations of the top and back plates. Although the technique seems simple and organic on the face of it, it is in fact very complex. It takes a long time, as well as a good ear and a lot of talent, to learn to tune plates by tap tone. Even those who are good at it don’t always succeed. Felix Savart, back in the 19th century, tried to adapt Chladni’s method to research on violin acoustics, but the technology wasn’t there. Now we have the means, and as we gain more understanding of how the instruments work, we also gain more control over the sound.

And it doesn’t only work on violins. Fred Dickens, Graham Caldersmith, and Gila Eban have all done major work in applying the principles of violin acoustics to guitar construction. Of course, there are differences and it takes time and effort to sort them out, but physics is physics, or, as a friend of mine said, “it all comes down to F=mA in the end.” I have found these techniques to be useful, and sharing useful techniques is what the Guild is all about.

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Basics of Air Resonances

Basics of Air Resonances

by W.D. Allen

Originally published in American Lutherie #1, 1985 and Big Red Book of American Lutherie Volume One, 2000



Stringed musical instruments with soundboxes typical of the guitar and violin families have many internal air resonances. The resonance with the lowest frequency is called the Helmholtz resonance, and its importance to the quality of the instrument is appreciated. The resonances with higher frequencies have been referred to by different names: higher Helmholtz, cavity modes, or standing wave modes. These resonances have been measured and documented for several different instruments, but there seems to be little information on their controlling parameters.

The intent of this article is to give the instrument builder some understanding of the air resonances, what parameters establish the frequencies, and some insight into the potential for using this information to make better instruments. A minimum-math, pictorial approach with approximation and rounded-off numbers will be used. Showing the effects of the controlling parameters is the objective, not the absolute value of a number.

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Area Tuning the Violin

Area Tuning the Violin

by Keith Hill

Originally published as Guild of American Luthiers Data Sheet #283, 1984 and Big Red Book of American Lutherie Volume One, 2000

See also,
Hints for Area Tuning the Violin by Keith Hill



Announcements of “discoveries” of the “secrets” of Stradivarius usually are not worth the ink used to print them. When they appear, everyone reads them with the customary curiosity. Then away they are filed along with the hundreds of other such claims. They get dredged up again when someone writes yet another book on the violin. Mindful of this possible fate, I would like to offer an explanation of a discovery that I have made. It is not of the “secrets” of Stradivarius; rather it is, I believe, the acoustical system utilized by the ancient Italian violin makers.

The system is simplicity itself. It is possible for anyone who understands it and has normal hearing to use it. Moreover, it requires no measuring equipment save the ears and possibly a monochord. Furthermore, the thicknesses and their inexplicable variants, which so annoy our modern sense of decency when we observe them in the finest violins by Stradivari and Guarneri, occur naturally as a result of this system. Because it is so simple, it is, of course, the last place one would think to look for the answer. I expect that once you are equipped with the following information, you will go to your nearest antique Italian fiddle and look to see if what I am saying is actually there.

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Hints for Area Tuning the Violin

Hints for Area Tuning the Violin

by Keith Hill

Originally published in American Lutherie #1, 1985 and Big Red Book of American Lutherie Volume One, 2000

See also,
Area Tuning the Violin by Keith Hill



In my article “Area Tuning the Violin” I presented my discovery of one of the theoretical principles governing the acoustical quality of the violins made by Stradivarius and his numerous Italian contemporaries. Because I believe that the area-tuning principle is the most important of all the acoustical principles pertinent to violin making, I deemed it best to present it in isolation.

I would be less than open with you if I did not say that the American Acoustical Society and the Catgut Acoustical Society both rejected the worthiness of the area-tuning principle. I feel that their reasons were full of vested self-interest. I tell you what I told them: Paying attention to flexibility of free plates is a waste of time and attention. Consider the following points.

First, thousands of violins have been made using this notion for the last century, yet no consistently superior results have been produced.

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Systems Analysis of the Violin

Systems Analysis of the Violin

by A.F. Standing

Originally published as Guild of American Luthiers Data Sheet #173, 1981



My first introduction to the violin was my father’s playing, and I remember, young as I was, a fascination with its strange shape and even stranger sound. From that time to this I had no further contact with the instrument until I met professionally (we are computer programmers) a young lady whose many talents include that of violin making. My interest in old crafts led us into many discussions on the design, construction and adjustment of the violin.

As I borrowed, and read, the articles she had collected, I became more and more astounded as from their arcane depths arose the musty odor of eye of toad and toe of newt. With my curiosity and interest aroused it seemed a good idea to consider each part of the violin, the problem it solved, and its interaction with the remainder of the instrument. In this way, once, the basic operation of the instrument was understood, all the second order effects that make all the difference in the real world could be considered as perturbations from the basic instrument. This article was written in an attempt to see if I could, with no musical knowledge or experience whatever, determine by thought alone the modus operandi of the violin.

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This article is part of our premium web content offered to Guild members. To view this and other web articles, join the Guild of American Luthiers. Members also receive 4 annual issues of American Lutherie and get discounts on products. For details, visit the membership page.

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