Posted on June 21, 2025September 15, 2025 by Dale Phillips The Helmholtz Resonance The Helmholtz Resonance A Brief and Not-Too-Technical Introduction to the History and Theory of the Lowest Sound-Producing Mode, and Some Practical Considerations for Instrument Designers by R.M. Mottola Originally published in American Lutherie #82, 2005 and Big Red Book of American Lutherie Volume Seven, 2015 Research in physics and acoustics of stringed instruments shows us the mechanism by which sound is produced by those instruments. The plates of the instruments and the air inside vibrate in various patterns, each pattern producing sound in a range around a certain frequency. Each of these patterns can be considered to be a resonator, each with its own characteristics. Some of these resonators exist as modes of vibration of different areas of the plates of an instrument, and some are modes of vibration of the air inside the instrument. One of the air resonators is composed of the mass of air inside the instrument and the mass of air within and around the soundhole. The natural frequency of this resonator is near the lowest note that an instrument can make. It is generally labeled the A0 resonance, the letter A standing for the word “air” and the numeral 0 indicating that this is the first in a series of air resonances. This resonance is also referred to as the so-called Helmholtz resonance. Understanding how this resonance works in stringed instruments is not difficult, particularly given a historical perspective. Complete understanding involves some math, but a practical understanding can be had without it. Therefore, I am putting off presenting the formulae in the main article and have included them in a sidebar. Become A Member to Continue Reading This Article This article is part of the Articles Online featured on our website for Guild members. To view this and other web articles, join the Guild of American Luthiers. For details, visit the membership page. MEMBERS: login for access or contact us to setup your account.
Posted on June 21, 2025September 15, 2025 by Dale Phillips The Helmholtz Formula The Helmholtz Formula by R.M. Mottola Originally published in American Lutherie #82, 2005 and Big Red Book of American Lutherie Volume Seven, 2015 The resonant frequency of a mass spring resonator can be determined by the following formula: Become A Member to Continue Reading This Article This article is part of the Articles Online featured on our website for Guild members. To view this and other web articles, join the Guild of American Luthiers. For details, visit the membership page. MEMBERS: login for access or contact us to setup your account.
Posted on June 30, 2024May 14, 2025 by Dale Phillips The “Corker” Guitar: A Sideport Experiment The “Corker” Guitar: A Sideport Experiment by Alan Carruth Originally published in American Lutherie #94, 2008 Over the past few years there has been something of a trend for cutting holes of various sizes and shapes in the sides of guitars. (Editor’s note: See AL#91 pp. 6–13 for more on soundports.) While a hole in the side of the guitar might or might not directly affect the way the top and back (the main sound-producing surfaces on most guitars) vibrate, it could certainly be expected to affect the vibrations of the air inside the box. I became interested in this when a customer asked if I could build a guitar with a port. Since I’m the sort of guy who likes to have a map when I’m going into new territory, I looked up what information I could find. There was a certain amount on air resonant modes, but not much treating ports, so I decided to do an experiment. Become A Member to Continue Reading This Article This article is part of the Articles Online featured on our website for Guild members. To view this and other web articles, join the Guild of American Luthiers. Members also receive 3 annual issues of American Lutherie and get discounts on products. For details, visit the membership page. MEMBERS: login for access or contact us to setup your account.
Posted on June 6, 2024May 23, 2025 by Dale Phillips Questions: Jig for Oval Rosettes Questions: Jig for Oval Rosettes by R.M. Mottola Originally published in American Lutherie #97, 2009 Greg Pacetti of Fairbanks, Alaska asks: I’m in pursuit of some kind of jig for oval rosettes. The Questions column editor responds: Probably the single best source of info on cutting oval rosette channels appeared in the American Lutherie article “Making Oval Mandolin Rosettes” by Jonathon Peterson, et al. (AL#41 p. 34, BRBAL4 p. 140). In it, seven builders describe their methods. ◆
Posted on October 25, 2021May 14, 2025 by Dale Phillips Geometric Design of the Stradivari Model G Violin, Part Two: f-Holes Geometric Design of the Stradivari Model G Violin, Part Two: f-Holes with Robert J. Spear Originally published in American Lutherie #94, 2008 see also, Geometric Design of the Stradivari Model G Violin, Part One: Mold and Template by Robert J. Spear Geometric Design of the Stradivari Model G Violin, Part Three: The Scroll by Robert J. Spear The Cremonese design for the f-holes of a violin, at first glance, would appear to be based on the same design philosophy as the body and to make extensive use of the golden section. A. Thomas King, in his article “The Cremonese System for Positioning the f-Holes” in The Strad, shows rather convincingly that golden-section divisions based on the distance between the pins on the body was employed to fix the location of the f-hole eyes, which further reinforces this idea. However, when it comes to f-holes, I would like to suggest that there are a couple of additional jokers in the deck. First, the late Cremonese f-hole is derived from an earlier system of design, and some of the important parts of the predecessor system remain in use; second, an entirely different modulus is used for the f-holes than for the body; and, third, little is based on the golden section. The Forma G violin, upon which my model is based, is not quite the longest violin Stradivari ever made, but it is the widest. The most notable increase in width is in the center bout, which has another direct impact on the design of the f-hole and its placement. King notes that there is a general method for most Cremonese violins and a specialized adaptation for Stradivari violins. King explained the rather unintuitive step of taking the golden section of the distance between the locating pins in the top as the modulus for positioning the f-holes. I have used his approach here because it has many good points of correlation, and because I found an additional correlation that has convinced me even further that his hypothesis is correct. Become A Member to Continue Reading This Article 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. If you are already a member, login for access or contact us to setup your account.
