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I am very pleased with the design of the 2016 9-String Fanned Fret Harp Guitar. I am completely confident recommending these dimensions if
anyone else wants to build one. However, there are many variations possible, and you may want to draw a series of variations, as I did,
so I am including a description of my procedure for making the drawings. I don't have any concrete advice for luthiers, as I am not a
luthier, but if you make a drawing such as I will explain below, a luthier can turn it into a guitar.
The drawing in the picture farther down this page
is not the drawing I actually used (I drew many), but it is similar enough to demonstrate the procedure.
Although I have considered several other possible tuning schemes (the pros and cons of which I will discuss further below), the tuning that I use is this: A4 600mm .022" / .56mm rectified nylon E4 615mm .028" / .71mm rectified nylon B3 630mm .033" / .83mm rectified nylon G3 645mm .042" / 1.07mm rectified nylon D3 660mm .028" / .71mm silverplated copper wound A2 675mm .032" / .813mm silverplated copper wound E2 690mm .041" / 1.04mm silverplated copper wound B1 705mm .052" / 1.32mm unplated copper wound F#1 720mm .074" / 1.88mm unplated copper wound This retains the core tuning of the six-string guitar, allowing legacy repertory to be retained without change, and adds three more strings which are all tuned in fourths, so that the fingering patterns are extended across the fingerboard without irregularities. Essentially, this combines three instruments in one: A bass guitar F#1 - B1 - E2 - A2, tuned a whole step above a standard four-string bass; A six-string guitar with the normal six-string tuning; A treble instrument comparable to the Mexican Requinto, which is tuned a fourth above the usual six-string guitar, but I am using the tuning of the Renaissance lute instead of the requinto tuning in order to keep the lower tuning of the conventional six-string guitar intact, an important detail which minimized the necessary learning curve. The differing lengths between the strings are designed on the same principle as a harp or a the pipes of an organ. High-pitched strings must be short and very thin, while low-pitched strings must be longer and fatter. Usually this is accomplished with separate instruments of different sizes. The four unwound strings are all D'Addario or La Bella rectified nylon. The wound strings are a motley assortment of D'Addario, La Bella, and Savarez. I ordered many strings to test from Strings By Mail, which has a "Specialty Singles" page for each of these brands offering arrays of strings of different diameters. The diameters listed above are somewhat less than I had first considered optimal for tone, because I found that the cumulative tension created difficulties in barring - 50% more than a six string - so I have reduced the overall tension from what I started with. Some important questions in fanned fret design are: What is the maximum length of the highest-pitched string? What is the minimum length of the lowest pitched string? How wide should the fingerboard be? Where should the "right angle fret" be placed for the most playable fingerboard? The proven maximum for an A4 is about 63 centimeters, this with the thinnest string you can get, about .020" in nylon. At 65 centimeters long, almost any string will break tuned up to A4; you might make it to G4 with a thin string. 61.5 centimeters is the standard length for the A4 string of the 8-string Brahms Guitar type. My 2016 nine-string fanned fret harp guitar has its A4 at 60 c. Frances's seven-string of 2012 is at 58 centimeters. On the nine-string prototype of 2013 the A4 was at 56 centimeters, an experiment which gave unacceptable results. It is desirable to maximize this length in order to minimize the fan. I feel that 60 centimeters is a very good compromise and gives a more playable string than a longer length, and better intonation than a shorter length. Intonation is a complex issue, and careful saddle compensation is a must. As amply demonstrated by the Yepes-design straight-fret 10-string classical guitar, the low bass strings D2, C2, B1, A1, are not very functional except as open strings when they are as short as 65 centimeters. The 9-string prototype of 2013 had its longest string, tuned F#1, at 68 centimeters, which was not long enough to make a string of that length and pitch behave well. It is, however, long enough for a very nice-sounding B1. Demonstrating or testing string lengths in these low ranges is not easy. The fault of such low bass strings, when they are too short, is not in the sound of the open string (which is easily tested on some kind of benchtop string stretcher), but in its performance when rapidly fretted. A too-short bass string will make clicking sounds on the frets, and will fret sharp; this was the case with the 2013 prototype. The successful 2016 nine-string has the F#1 at 72 centimeters. This is acceptable and performs well, but begs the question: other considerations aside, would not 75 centimeters for the low F# sound even better? Because, obviously, there are bass instruments with much longer string lengths than this, such as acoustic upright basses. The "other considerations", however, are whether your hands are big and strong enough, or if you could adapt your playing style to such an instrument. This is an open question which has to be answered individually. My own opinion, based now on a year and a half playing this instrument, is that there is no way I would increase the length any more, because of the difficulty of the technique. |
The Specs for my 9-string as built:
About the Soundhole placement:The unusual sound-hole placement is one of the important details. The 2013 9-String Prototype was built on a conventional body plan with the soundhole in the usual location. However, the angled bridge did not have a large enough field of vibration around it. The point at which the A4 string attached to the bridge was only a couple of inches away from the transverse bar. As a result, the A4 never developed any punch. So, in the new design, the soundhole is tucked up in the corner, and the transverse bar is farther from the bridge, and the bridge is in the middle of a larger vibrating field, and the A4 sounds "much better".This "much better" might be better stated "relatively much better" as in my experience a high A4 string on any type of guitar is probably not going to develop the kind of punch that we have come to expect from the E4 string on a fine classical guitar. The A4 will always be a little weaker because it is necessarily shorter and thinner. As a player of such an instrument I have had to accept this. Some players use very high tension (nylon) strings for their A4s, for instance .029" instead of the .022" or .021" that I use. (I tried very high tension fluorocarbon strings also and rejected them in the end because, although loud, the sound was not sweet and vibrato was difficult.) The .021" has a much more musical sound though it is not as loud. Later note: After a year and a half, the sound of the spruce top has developed quite a bit, and between this and having adapted my playing style, the weakness of the A4 string is not an issue. There is one more interesting weakness that has come to light with this design. During my experiments to determine optimum string diameters, at one point I put heavier strings on all of the trebles. The top developed a rather serious dimple right near the point where the A4 string is attached to the bridge. The increased pressure on the top from the angular tilt of the bridge is all focused at that spot. This was an unexpected result. Normal right-angle bridges will force the top down across the width of the bridge when overloaded, making a belly in the top between bridge and sound-hole, and a bulge behind. I was afraid that the point of the angled bridge might even punch through the top, and I removed the heavier strings. For this and other reasons I settled on lighter gauge trebles, the other reasons being for sweeter sound, and for less effort in barring. This last reason was the most critical one, because I did hurt my left hand in the summer of 2016 because of this, and it took a year to fully recover. I actually needed to develop more muscle mass in my arms and shoulders, which was unexpected and surprising; although I had known that strength might theoretically be a factor, I had discounted it. The low F# might be longer...There is a possibility that a 9 string fanned fret guitar similar to mine might be built with the fan from 75c to 60c. (This would be a 5:4 ratio fan, with a 15c spread, as opposed to the 6:5 ratio fan with a 12c spread of my actual build of 2016.) I think that, for some young person with big hands, that this would sound great, but it would certainly be harder to play! I have had some physical difficulties with my left hand barre muscle as it is, and so I am actually quite content with the smaller measurement 72c....or might it be shorter??On the other hand, I am not sure that I can recommend going any shorter than 72c for a low F#1 string. There is some possibility it might work at 70c, but it requires another experimental build to find out, and that is, frankly, an expensive experiment that I am not likely to do. The 2013 Prototype, with the F#1 at 68c, just didn't cut it. That was a carefully calculated estimate based, so I thought, on the best information I could come by: it was about equal to the distance from the bridge to the second fret of a short scale (30" or 76.2c) electric bass. However, this was to be a round-wound string on a classical-type guitar, and there was no way to know whether the result would be the same as with flat-wound electric bass strings, and probably it was overly optimistic to expect it, and I should have built in a margin of error. (That wasn't the only design error I made in the Prototype, in any case.) Anyway, 68c turned out to be too short, and so I had to guess at what it would take to make it better; would it be 70c or 72c or 75c? So I decided that 70c was too iffy, based on the performance of the Prototype at 68c, and that 72c would be a surer bet, given that I only would be able to afford to have it built once.(These three lengths 70c, 72c, 75c, make Pythagorean super-particular ratios to the length of the 60c A4 string, 7:6, 6:5, 5:4. Using Pythagorean ratios in this context may be voodoo, but if you have some better way to organize your thinking about it, go for it.) Big hands? Small hands?The thing to note if you are building a 7- or 8-string, with a low B1, is that a string length of 65 centimeters gives very poor results for bass strings lower than E2, and the builders of 8-string Brahms-guitar type fanned fret instruments would do very well to extend their lowest string, B1, out to 70c or at least to 68c. This also goes for 10-string Yepes-type instruments. The Bartolex company is now building a fanned-fret Yepes-style 10-string, but they have not yet taken advantage of the possibility of longer basses, an error in my own opinion. Although you might think that an instrument with longer basses would be very difficult to play, I assure you that it won't be if you have big hands. If you have small hands, you might think about it twice. Perhaps the best extended range design for those with smaller hands might be the so-called "alto guitar" with a short scale about 58c, straight frets, and many unfretted diatonic bass strings, but I myself don't like that design for three reasons: (1) too much sympathetic vibration from the basses, (2) non-idiomatic tuning of the basses for actually playing bass, and (3) too much technical disconnect between the bass and treble ranges; in this case the two instruments combined into one do not flow smoothly one into the other at the point of junction, whereas with my nine-string guitar there is no break in the flow across the strings.Frances's hands are only a little smaller than mine, but she was never comfortable with a 65 centimeter scale (she even had a guitar with a 66 centimeter scale once, a beautiful guitar but which she found quite difficult). She made the radical choice to go for a much shorter scale, 58 centimeters, and she has been very happy with this as it has allowed her to develop a fluid and comfortable technique. I think there may be many guitarists who would do much better with short scale instruments. The 20th century classical guitar design after Ramirez and Hauser was optimized for use in 4000-seat concert halls, with a large body and a scale length longer than was generally customary in the 19th century, when guitars were parlor instruments. As we don't play in such large halls, and usually play amplified, we have a different set of requirements and possibilities. In the case of my nine-string fanned fret harp guitar, an interesting thing to experience is that the topmost four strings are all shorter than 65 c., and this means that playing on those strings in the upper registers has all the ease of playing a requinto, and many useful chords are available that on a conventional six string would be above the 12th fret and so far up the neck as to play out of tune. Does it play in tune?Speaking of playing in tune, people often ask if the fanned fret guitar plays in tune. Yes it does: no better and no worse than a regular six-string. It shares with the six string the common problem that the G string frets a little sharp on the first and second frets, and that careful saddle compensation is necessary. The 2013 prototype, with its much shorter treble strings, had some sour chords starting on around the 10th fret. However, I never got around to addressing the issue of saddle compensation, which could improve the situation. On Frances's 58c short-scale 7-string, I have improved the intonation considerably by compensation of both the nut and saddle.The 2016 build played in much better tune from the get-go. However, after a year and a half, when I was sure that I had the action and string gauges correct, I finally got around to compensating the saddle. I made a series of intonation maps, measuring every fret of every string with a Seiko Model SAT800 tuner which reads cents, and averaged the results (because there is quite a bit of fluctuation between one measurement and another). The G3 string, the worst, was about 12 cents sharp at the 12th fret, even though the F#1 and A4 strings required no compensation. Some rough calculation showed that this would require about 2 millimeters of extension to the string length at the saddle, but the saddle installed by Castillo was less than 2 mm wide. So, I widened the saddle slot to 4mm (a long job with a razor blade, file, and chisel) and built a new bone saddle (cut from scratch on the table saw from a large cow femur), with compensations for 7 out of 9 strings, and improved the intonation immensely. (The new saddle is roughly 15 c x 4 mm.) The operation produced a side benefit: with the fatter saddle, the bass response immediately improved dramatically. This is another point which the builders of Brahms guitars and Yepes-style 10-strings could well take note of also: if you want good basses, put in a fat saddle 4 mm wide. I am still not happy with the intonation above the 12th fret, which runs quite sharp. This appears to be a non-linear behavior due possibly to the extra stretch required to press the strings down. A future project is to carefully quantify the intonation error, and then rip out the top frets and replace them in adjusted locations after filling the old slots. It appears that they need to be pulled back toward the nut slightly from the calculated locations. This is a rather daunting project, however, even more so than widening the saddle slot, and I am not in a rush. After the successful compensations to tune the 12th frets, the upper range above the 12th fret is really no worse than any other classical guitar, running some 6 or 8 cents or so sharp on the central strings around the 18th fret. Isn't it strange and weird to play on fanned frets?No, not really. If you shut your eyes and feel with your fingers, it's hardly different at all. That's not the whole story, though. The real challenge with learning an extended range guitar is to learn the musical grammar of the new strings. I have also had some physical challenges with my left hand and arm, which you might well expect. The fanned frets actually encourage the development of many new positions which can splay the left wrist and elbow out in both directions, and require some stretching out. This is an ongoing process. However, I went through the same process with the six string many years ago.Now, back to the drawing board: Drawing Tools:
Procedure:This is only for a plan view of the fretboard and body shape. Sections and elevations are un-necessary at this phase of the design process, and if needed at all they are the responsibility of the luthier who will actually build it. The choice of a bracing scheme and other interior details will depend on his or her own habits and preferences. A particularly tricky detail will be the compound angle of the headstock. How this is done I have no idea - I can only look at it and marvel.
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