Posted on

Not Only Cones Make It — and Cylinders Almost Do

Not Only Cones Make It — and Cylinders Almost Do

by F.A. Jaén

Originally published in American Lutherie #101, 2010



In the years since Tim Olsen’s article “Cylinders Don’t Make It” appeared in AL#8 (Winter 1986; also BRBAL1) the main ideas presented there have been accepted, developed, and finally, simplified and distorted. Many, including myself, remembered it more like “Only Cones Make It.”

The first indication that something in my ideas was wrong was when I made a CAD model of a fretboard some time ago. I wanted it to have a constant curvature radius of 300MM (around 12"). There are many customers that still want that, in spite of offering well-designed conical-shaped fingerboards. My first thought was to draw two circles, 12" diameter, one directly above the other, at the distance from nut to end. After that, I would trace two diverging straight lines connecting both circles and defining both the edges of the fretboard and the widths at its ends. The surface could then be generated by moving one of the edge lines towards the other, using the end circles as rail curves (what is known as a “sweep” command in many CAD packages).

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

At the Outer Limits of Solid Geometry: The “Twisted Neck” Guitar

At the Outer Limits of Solid Geometry: The “Twisted Neck” Guitar

by Leo Burrell

Originally published in American Lutherie #12, 1987 and Big Red Book of American Lutherie Volume One, 2000



I was greatly amused by remembering my own struggles while reading the articles in AL#8 about the compound radius of the fretboard. I was actually practicing these techniques before knowing what a plain old radius is. I have only been in the music business since applying for patent letters for my naturally rotated (twisted) string assembly (all of the components that define the string alignment: nut, neck, bridge, top of the body). That was April 1984. And I never would have built an instrument at all, let alone carve a compound radius, if the “Music Moguls” had had any respect for my invention. But they didn’t, so I did.

I enclose a photograph of me holding an instrument I modified in June 1984. I shaped the neck from a solid block of cherry given to me by Dan Rowe, shop teacher at Western Beaver High School, Industry, Pennsylvania. I whittled and otherwise shaped it during evenings for about two weeks, using the kitchen counter for a workbench. Oddly enough, I roughly followed the procedure you described in your article “Cylinders Don’t Make It” to shape the fingerboard. However, in my case, the procedure was complicated by the approximate 45° rotation.

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

Fret Spacing Without a Calculator

Fret Spacing Without a Calculator

by Scott Antes

Originally published in Guild of American Luthiers Data Sheet #11, 1975



In Calculating Fret Scales, Data Sheet #4, we discussed fret scale calculation with the use of an electronic calculator. This data sheet is for use by those who either have no access to such a calculator, are too proud to use one, or who are interested in making only a partial fret scale; for instance, that of a dulcimer.

And a short addendum to DS #4, please note that in any fret scale, the point known as ‘bridge’ is a hypothetical point at which the actual bridge would be located if the string height and fret height were both zero, or if a number of other impossible conditions were to exist.

The hypothetical bridge point exists for calculation purposes only. To find the actual bridge point, the amount of compensation deemed necessary is added to the hypothetical string length from which the fret scale was calculated.

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

The Scalloped Fretboard

The Scalloped Fretboard

by Dave Schneider

Originally published in American Lutherie #11, 1987 and Big Red Book of American Lutherie Volume One, 2000



The Indian culture introduced the bending of strings on a fretted instrument. They elevated the frets by means of bridges to accommodate string-bending techniques. Later they changed the bridges to arched pieces of wire tied on around the back of the neck. Citterns (a medieval instrument with wire strings) had a slightly scalloped fingerboard because the frets were about level with the fingerboard.

John McLaughlin brought this type of string bending to the Western hemisphere with the group Shakti. He incorporated the use of Indian instruments (tabla, tambora) with L. Shankar’s violin and his custom-built “drone string guitar.” Three of these scalloped neck guitars were made for him in the Gibson custom shop by Abraham Wechter in late ’75. They had seven “drone” strings running diagonally across the soundboard and the fingerboards were scalloped between the frets to accommodate the Indian-style string bending.

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.
Posted on

Google Calculator and the Guitar’s Magic Number

Google Calculator and the Guitar’s Magic Number

by William Leirer

Originally published in American Lutherie #96, 2008



Since the frequency of the octave note at fret 12 is two times the frequency of the open string, the fret positions can be determined by finding a number that can be multiplied by itself 12 times to get 2. That’s the guitar’s magic number: the 12th root of 2. In one form or another, it is a part of every calculation related to scales, fret placement, intonation, compensation, and much more.

When Google perceives an entry in its search field to be math, it switches from search mode to calculator mode and displays the answer. Any calculator can solve a math problem, and there are plenty of online fret calculators. But with Google Calculator we can view the entire equation at once and see the effect of substituting one part at a time, helping us to understand the “why” behind the numbers.

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.