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Questions: String Tension and Purity of Tone

Questions: String Tension and Purity of Tone

by Alan Carruth

Originally published in American Lutherie #99, 2009

See also, Questions: String Tension and Pure Tone by R.M. Mottola



Alan Carruth from Newport, New Hampshire writes in response to Pat Bowen’s question in AL#98 about the relationship between string tension and purity of tone:

While there is some truth in the equation higher tension=purer tone, it is, as the editor said, not as simple as that. A lot depends on how you get the higher tension.

When you pluck a string, it vibrates at a set of different, but related, frequencies. For ideal strings, the kind that you only find in physics books, these frequencies form a harmonic series; each one is an exact whole-number multiple of the lowest (or fundamental) pitch that the string makes. Real strings don’t do this, and that affects the way they sound.

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Questions: String Tension and Pure Tone

Questions: String Tension and Pure Tone

by R.M. Mottola

Originally published in American Lutherie #98, 2009

See also,
Questions: String Tension and Purity of Tone by Alan Carruth

 

Pat Bowen from the Internet asks:

A generally accepted fact is that the higher the string tension, the more pure the tone. This causes me grief, since I have to build instruments to support the heaviest strings. Even if I don’t recommend them, someone is going to use them. But is this thing about the high tension and pure tone really true or is it just a folk tale?


The Questions Column editor
responds:

The short answer is yes, it is true, and the short explanation is inharmonicity. The higher the tension, the closer the partials are to true harmonic multiples of the fundamental frequency. On p. 115 of his book Engineering the Guitar — Theory and Practice, Richard Mark French states: “...increasing the radius [of the string] or elastic modulus [i.e., stiffness] makes the deviation from the ideal harmonic series worse, while increasing tension or length makes it better.” This is an interesting topic worthy of an article or at least a longer explanation than I’ve given here, which I hope someone will provide.

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Letter: Statistical Listening Test

Letter: Statistical Listening Test

by Kenny Hill

Originally published in American Lutherie #98, 2009



Hi Tim,

What do you do when a “scientific” study directly contradicts your own experience? Which are you more inclined to believe, a statistical body of “evidence,” or your own ears?

This is my dilemma now, having read R.M. Mottola’s paper on his statistical listening test with soundports (AL#97). This experiment seems at first glance to be thorough and well designed. In his conclusion he states that there is no perceivable difference between port open and port closed. This is followed by the comment that this may be “of practical value to those considering adding soundports.”

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Our Great Spherical Friend, Part One

Our Great Spherical Friend, Part One

by Frederick C. Lyman, Jr.

Originally published in American Lutherie #6, 1986 and Big Red Book of American Lutherie Volume One, 2000

See also,
Our Great Spherical Friend, Part Two by Frederick C. Lyman, Jr.
Our Great Spherical Friend, Part Three by Frederick C. Lyman, Jr.
Improving the Plywood Bass by Frederick C. Lyman, Jr.



We are referring to the cloud of gases, still largely beneficent, that surrounds our planet. This immense mass must be immensely and massively frustrated. Because, while it constantly tries to find a state of peaceful repose and equilibrium, it is just as constantly subjected to agitation by forces large and small. The earth whirls beneath it, the sun warms it on one side at a time, various objects in space tug at it, and innumerable minor annoyances are inflicted upon it by the residents of Earth.

By far the worst of the minor offenders are the members of the human race, who should really be more grateful to their spherical friend. Instead, they have craftily discerned that the atmosphere that surrounds them is indeed indefatigable in its effort to reach an equilibrous state. With fiendish zeal they have invented devices for the sole purpose of agitating their friend. Some of these torture implements are known as “musical instruments” and are accorded a special reverence by those who create and use them (some of whom, however perversely, even banding together in special societies to promote these activities).

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Posted on

Our Great Spherical Friend, Part Two

Our Great Spherical Friend, Part Two

by Frederick C. Lyman, Jr.

Originally published in American Lutherie #7, 1986 and Big Red Book of American Lutherie Volume One, 2000

See also,
Our Great Spherical Friend, Part One by Frederick C. Lyman, Jr.
Our Great Spherical Friend, Part Three by Frederick C. Lyman, Jr.
Improving the Plywood Bass by Frederick C. Lyman, Jr.



Our intent, in the design of a musical instrument, should be to keep in mind this theoretical correspondence between the atmosphere and the instrument, and to realize it in as much detail as possible. The objective is the possibility of the highest degree of control of the final tone production, with a minimum amount of effort and anguish by the performer.

Music differs from other atmospheric sounds. The tones are related to emotions and are arranged in such a way as to project a panoply of emotional changes and thereby tell a story or take the listener on a sort of emotional trip. The success of a musical instrument lies in the extent to which it can be made to facilitate this kind of expression.

However, the instrument is first and foremost a physical device, and its expressive properties are supported by its acoustical properties, which are in turn supported by its structural properties. Because the instrument is in a state of tension, it must have a certain structural strength, adequate to give it a basis of firm tonality.

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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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