Jeremy,
I just found this thread after someone visited my website. This sounds like a problem I've been dealing with for years, on both my builds and re-voices.
If I understand this correctly, the low G and F# are loud, but the low E thuds with no sustain. In my work, I've found it necessary to ignore concepts such as pitch of the top and back, and focus on how the braces impact the various rings with which any given note resonates. The problem could be caused by the top, but it is my suspicion that it comes from the back.
My Sound is Round diagram shows the rings each string resonates with on the top. The back operates as two, overlapping systems of rings--the upper and lower bouts. The upper bout can, if braces allow, reinforce the G and D strings. The lower back, the low E, A and D, sometimes the G.
While the 3rd and 4th braces have major impact on the lower bout's ability to reinforce, I've been focusing on the 2nd brace after I have the lower ones shaped parabolically so that each ring can be felt to be vibrating over them on both sides. The ring the low E resonates with usually lies just inside the perimeter, and would like to cross from one side to the other through the waist (where it overlaps the ring system of the upper bout) but the 2nd brace invariably dampens it, and no vibration can be felt over it--no continuation of the ring just inside the lower bout.
However, the F# and G rings are slightly smaller in diameter than that of the low E (in my model, ring diameter is inversely proportional to the frequency) and can be felt to vibrate through the waist area just below the 2nd back brace. The intensity of these notes I believe is due to the brace pushing back on the rings just below it, causing them to over amp, perhaps like waves surging against a sea wall.
To test this idea, try putting a capo on the F# or G, plucking that string and feeling over the area just below the 2nd brace. My guess is that you'll find a great deal of vibration there. But playing the open E, virtually none there or just over #2. Another test is to drop the E down to a D, which might be loud and resonant, like the G. If so, you can feel vibration just above the 2nd brace because the D, being a lower pitch, resonates with a ring larger than the E and lying above brace #2. This depends a great deal on placement of that brace.
Overall, I think the guitar soundbox is saying, basically, that it won't accept the energy from the low E because there isn't enough possibilities for it to find resonance. Especially as I get close to having the braces balanced on the top, such a problem seems to emerge where it wasn't there beforehand.
Not accepting the energy can happen to other notes or strings, too. Perhaps you've run across a problem with one string buzzing when the others don't? Just last week, the D string started buzzing on one of mine when it hadn't before I reshaped the X brace legs more radically. I could see that the amplitude of the D was about twice that of the other strings, which seemed a likely cause.
Plucking the D and feeling its ring on the top, I found a spot over the upper tone bar where there was no vibration. I could also feel a tiny imperfection in the shaping of the tone bar in that location, and when properly flowed into the rest of the brace, the buzzing was eliminated and the D's volume increased to that of its neighbors.
In correcting the low E problem, I find it necessary to lower the height of the 2nd brace to no more than 5/16" tall in the middle with parabolic shapes both in length and cross section. To know how low to make it, I tap over the brace, working from one side to the other. The pitch of the tap tone is irrelevant. What's important is that it remain the same over the brace's length (with the exception of the very ends, which should at least be clear and sustained). If the pitch drops some through the middle area, the brace isn't low enough. It needs to become transparent to the way the back wants to vibrate to allow the low E its full potential, and at the same time, the wolfness of the F# and G notes (and often that of the G string) is gone. And the low E can be felt to vibrate over the 2nd brace with even volumes and sustain up its frets.
I recently played a build of a colleague who uses parabolic bracing and noted that the low E wasn't as loud and resonant as the A, D and G. I observed that the back braces were parabolic and low over their lengths, but the ends had been given the same squared off scallop standard on most guitars. Those ends absorb vibration, IMHO. And, plucking the low E, I could feel no vibration over the four ends of the two lower braces, some in between. Whereas, the A string's ring, being smaller, vibrated over the parabolic cross section of those braces, about 2" in from the ends, and was louder for the reinforcement. I could feel a complete ring for the A and D on the lower bout.
In my earlier work, I was able to sometimes dampen wolf notes by gluing in extra braces where there was too much vibration, but also lost some "life" the guitar had. I never tried to add volume this way. Overall, I believe that when the top and back braces are balanced properly, they get out of the way and let the soundboards vibrate completely most everywhere, which is when I get max volume, sustain and headroom. And clarity, too.
Works for me,
Scott
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