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Inharmonicity of Guitar Strings

Inharmonicity of Guitar Strings

by Mark French

Originally published in American Lutherie #100, 2009



Strings are uniquely well suited to make music because all their resonant frequencies are very close to being integer multiples of the fundamental frequency.1 The octave is the most consonant interval and the resonant frequencies of a vibrating string are separated from one another by octaves. The expression for the resonant frequencies of an ideal string is familiar to many luthiers.

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Calculating String Tension

Calculating String Tension

by Max Krimmel

Originally published in Guild of American Luthiers Data Sheet #144, 1980 and Lutherie Woods and Steel String Guitars, 1997



Just how tight is that string? Experience tells most of us that the pitch of a string depends on how long it is, how big it is, and how tight it is. It would seem then, that we could figure out the tension if we know the pitch, mass, and length of any given string. Yes, it can be done. The biggest problem is to realize how A natural, 25.5", and .042" phosphor bronze can be converted into something recognizable as tension. I am not going to go into the why of all this as much as the how to do it. First, put the pitch into cycles per second, or Hz. Next put the length into CM. Then find the mass of the string by weighing a piece of the string as long as your string length. Cut the ball or any other windings off the string before you weigh it on a gram scale. Then insert these variables into the following formula.

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Review: Folk Harp Design and Construction by Jeremy H. Brown

Review: Folk Harp Design and Construction by Jeremy H. Brown

Reviewed by C.F. Casey

Originally published in American Lutherie #83, 2005 and Big Red Book of American Lutherie Volume Seven, 2015



Folk Harp Design and Construction
Jeremy H. Brown
www.musikit.com 150 pp.

You’ve got to like a book that begins, “Anybody can spout off his own opinions into a book if he puts his mind to it. Why a person would want to go to such trouble is a question I’ve been asking myself lately.”

I should point out that there’s an alias at work here. Jeremy H. Brown, author, is in another life Jerry Brown, founder and head honcho of Musicmaker’s Kits, Inc. (See John Calkin’s “Kit Review: Musicmaker’s Regency Harp” in AL#69, BRBAL6.) Does that mean the book is a shill for selling kits? Not at all. Naturally, most of the references are to Musicmaker’s designs. That’s reasonable enough; they are, after all, the designs Brown would be most familiar with. You wouldn’t expect Chris Martin to write a book on Gibson designs. However, Brown doesn’t stop there. I counted over two dozen references to the approaches and opinions of other harp builders throughout the eight chapters of the book.

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Letter: Violin String Tension

Letter: Violin String Tension

by Ernest Nussbaum

Originally published in American Lutherie #9, 1987

 

Dear Tim:

I’d like to point out that the article “Fiddle Facts” contains at least two non-facts.

1) The author says that raising the pitch of a violin’s “A” string to 442 (presumably from 440) is an increase of 0.05%. Wrong: it’s 0.5%.

2) More serious: He says that string tension is thereby increased by 10%. He should have said 1%. (Raising the frequency increases tension according to the square of the raise, i.e., (442/440)2 which is 1.009 or about 1.01 — therefore 1% higher.

Maybe it’s bad for old violins to replace gut strings with steel. On ’cellos it seems to do no harm in most cases.