Posted on June 6, 2024May 14, 2025 by Dale Phillips 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.
Posted on August 11, 2021May 16, 2025 by Dale Phillips Taking the Guitar Beyond Equal Temperament Taking the Guitar Beyond Equal Temperament by Don Musser Originally published in American Lutherie #30, 1991 and Big Red Book of American Lutherie Volume Three, 2004 If someone were to tell you that the simple C chord you just played on your perfectly intonated, handmade guitar was in fact significantly out of tune with itself, you might have a few doubts and perhaps some curiosity about just what he was talking about. If that person were Mark Rankin and he happened to have his little Martin set up with the just intonation, key-of-C fretboard, and you compared a C chord on that guitar to the C chord on your guitar, instead of doubts and curiosity you would have something else: the beginning of a revelation, a revelation not only about the guitar itself, but about the foundation of the music we play on it. Back in 1987, David Ouellette, a Eugene, Oregon musician for whom I had built several guitars in the early 1980s called and wanted a new, unconventional instrument built. It was to be a special guitar with magnetic interchangeable fretboards having staggered frets set up for alternative tunings of the scale steps within the octave. The standard guitar fretboard we all play on is based on the equal-tempered scale where the octave is divided into twelve equal half-step intervals. This equal division of the octave is good in that it allows modulation from key to key without intolerable dissonance. Its drawback, though, is that the scale intervals are tempered, i.e., harmonically inaccurate and slightly out of tune with one another. 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 March 12, 2020May 23, 2025 by Dale Phillips It’s a Kabosy It’s a Kabosy by Paul Hostetter Originally published in American Lutherie #35, 1993 and Big Red Book of American Lutherie Volume Three, 2004 Madagascar is a huge island about the size of Washington, Oregon, and California combined. Situated 180° around the earth in any direction from these three states, this single-language country lies in the Indian Ocean off the east coast of Africa. I shall probably recount more about music from Madagascar than about construction details of this delightful little instrument for this simple reason: the kabosy’s musical raison d’être exceeds in interest the technical complexity of the instrument itself. Nonetheless, it’s worth a long look because, like most things Malagasy, there’s nothing quite like it anywhere else. Despite obvious superficial appearances, Malagasy culture is not particularly African at all, but is an extraordinary mélange of Polynesian, Southeast Asian, Arabic, African, and, more recently, European influences. (Madagascar was a French colony until 1972.) Like the legendary flora and fauna of that far-away island, Malagasy culture and music bear but a passing resemblance to culture elsewhere on the planet. Fortunately there are numerous recordings now available of just about every stripe of this remarkable musical culture. A discography follows. 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 November 1, 2019May 21, 2025 by Dale Phillips The Truth about Temperaments The Truth about Temperaments by Edward Kottick originally published in Guild of American Luthiers Quarterly Volume 12, #2, 1984 and Big Red Book of American Lutherie Volume #1, 2000 There is a good deal of misinformation in print about consonance, dissonance, scales, harmonics, intervals, tuning, and temperaments. Even textbooks and scientific journals have gotten these subjects wrong, and I hope to correct the situation. Let us begin with the terms “consonance” and “dissonance.” These words have two separate sets of meanings, one musical and psychological, the other acoustical and physical; and they are often confused. From the musical point of view a dissonance is a combination of tones which, dictated by usage, projects a quality of restlessness, motion, direction, or instability. Dissonances want to go somewhere; that is, they want to resolve to consonances, which have, of course, the opposite effect. Consonances are combinations of tones to which we ascribe the qualities of restfulness, stability, and a feeling of arrival. Note that I have described the character of these terms as something dictated by usage, rather than as qualities inherent in the combination of tones. Since around 1450 (the beginning of the Renaissance) major and minor thirds and sixths, perfect fourths, fifths, and octaves have been considered consonances, although a distinction is made between perfect consonances (fourths, fifths, and octaves) and the others, which are imperfect consonances. Every other combination of tones is considered dissonant, including the fourth if it appears above the lowest sounding note. Music needs both consonance and dissonance. Without the latter it would be bland, dull, and lacking in direction. Although we may not think of composers such as Palestrina, Bach, and Chopin (to pull some names out of the air) as dissonant composers, there is an enormous amount of dissonance, as we just defined it, in their music. Furthermore, a dissonance is a dissonance only if we all say so. In the music of John Phillip Sousa a major chord with an added sixth (which makes a dissonant second to the fifth) is a dissonance; but in a jazz style that same combination of tones is treated as a consonance and is perceived in that way. In polyphonic music (music of more than one part) of the Middle Ages the third was considered dissonant, but around 1450 it began to be perceived as a consonance. This is an apparent contradiction only if the interval itself is considered in vacuo; but in the context of the music, medieval composers treated thirds and sixths as unstable combinations that needed to be resolved to perfect consonances, while Renaissance composers, and all those who followed up to the 20th century, considered thirds and sixths consonant and the building blocks of music. 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 August 23, 2019May 23, 2025 by Dale Phillips Intonation in the Real World Intonation in the Real World by Mike Doolin from his 2006 GAL Convention lecture previously published in American Lutherie #92, 2007 Getting guitars to play in tune has been a major topic of interest for many years, both for guitar players and guitar makers, and it has been a major source of frustration as well. During our current “Golden Age of Lutherie” the bar has been raised for standards of craft, playability, and tonal quality, as players have become more sophisticated in their expectations and builders have become better educated and more demanding of their own work. Expectations for accurate intonation have come along with all that: it’s no longer acceptable for a guitar to only play in tune for the first five frets, or in a few keys. Modern players are using the whole neck, exploring extended harmonies, and playing in ensembles with other instruments. They are looking for instruments that play in tune with themselves and with the rest of the musical world. It turns out that guitar intonation is a huge can of worms, because it is really two topics: ▶ What does it mean to be “in tune?” ▶ How do I make a guitar do that? 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.
