What the Instruments Said Back

A follow-up to the manifesto

1,612 words

I wrote twenty thousand words about why acoustic bass guitars fail and how to fix them, and then I did the thing I should have done first. I measured.

It took one afternoon. A measurement microphone that cost less than a set of good strings. The voice recorder that ships free on every Mac. A felt mallet. Five instruments: my upright, my guitarrón, the Tario — the hundred-and-fifty-dollar classical guitar I converted into a fretless bass — a Martin Dreadnought Junior Bass, and the little Kala U-Bass that started this whole obsession in a hostel in the Tetons. I plucked each one’s low E and low A, the same stroke every time, at two feet and at six. Then I tapped each body with the mallet to find where it resonates.

I want to tell you what came back, because some of it proved me right, some of it proved me wrong, and one result I still can’t quite believe.

The note really isn’t there

Start with the claim the whole manifesto rests on: that nobody hears the fundamental of a low E from an acoustic bass. That the note is assembled in your head from the harmonics above it.

On every acoustic bass guitar I measured, the forty-one hertz fundamental sat twenty to twenty-five decibels below the strongest partial. That’s not a slight weakness. That’s a note that is, for practical purposes, absent — and yet every one of those instruments plays a recognizable low E. Even on the upright, the fundamental of the low E sat twenty decibels below its own second harmonic. The biggest bass instrument in the room is still, on its lowest note, handing your brain harmonics and letting you build the rest.

So that part holds. Everywhere. On every instrument. The missing fundamental isn’t a trick the little basses play. It’s how every bass has always worked.

The body picks which harmonics escape

Here’s what the measurements showed that the manifesto only argued. As the body gets smaller, its air resonance climbs — and the instrument’s energy climbs with it, one step at a time.

The upright puts most of its energy into the low E’s second harmonic, at eighty-two hertz. The Tario peaks on the third, at a hundred and twenty-three. The Martin on the fourth. The Kala spreads itself across the fourth through the seventh, up past two hundred and eighty. You can watch the balance point of the sound — the spectral centroid — rise with it: ninety-one hertz on the upright, a hundred and fifty-nine on the Tario, a hundred and eighty-nine on the Martin, two hundred and thirty-seven on the Kala.

Tap each body with the mallet and you can see why. The Tario’s air resonance is at ninety-seven hertz. The Martin’s is at a hundred and fourteen. The Kala’s is up around a hundred and seventy-five. The body is a filter, and each one lets through a different slice of the harmonic series. Change the body and you change which evidence reaches the listener.

The thing I can’t get over

Then I tapped the two instruments that actually work.

The guitarrón’s air resonance is at sixty-three hertz. Its top resonates most strongly between a hundred and twenty-six and a hundred and forty-six.

The upright’s air resonance is at sixty-three hertz. Its top resonates most strongly between about a hundred and twenty and a hundred and forty-five.

Before any of this, I had derived two target numbers for my own instrument from how human hearing works: put the air resonance comfortably below eighty-two hertz, somewhere under sixty-nine, so the low E’s second harmonic radiates from the strong part of the body’s response; and put the top’s main resonance between a hundred and twenty and a hundred and fifty, where the third harmonics live.

A carved European orchestral instrument and a Mexican folk instrument, built on different continents, in different centuries, by people who had never heard of the dominance region, both sit on those two numbers. And they got there by opposite routes. The upright is roughly twice the guitarrón’s size, and it has far larger openings in its top. The guitarrón is smaller, with one modest soundhole. If you gave the upright the guitarrón’s soundhole, its resonance would drop toward forty-five hertz. Its makers didn’t do that. Both traditions, by ear, landed in the same place.

I don’t know if anyone aimed for it. But it doesn’t look like an accident of size. It looks like a target. And I found it with a calculator before I found it with a mallet.

What I got wrong

I owe you corrections, and the data was not shy about supplying them.

The manifesto says an upright and an acoustic bass guitar radiate nearly the same amount of forty-one hertz, which is to say nearly none. That’s false. The upright radiates about twenty decibels more fundamental than the Tario. I had argued that the upright is a centroid machine — that it sounds deep because everything about it strips away the highs. That’s part of it. But the bigger part is simpler and better for my case: the upright wins by pouring energy into the dominance region at enormous volume, because its body puts the air resonance below eighty-two hertz. It isn’t just the absence of bright evidence. It’s an overwhelming abundance of the right evidence.

I also argued that small bodies are an advantage. The data says something more precise: small bodies trade depth for presence. At six feet — campfire distance — the Martin is as loud as the Tario, and louder on the low A. But it’s seven decibels weaker at eighty-two hertz, and its balance point sits thirty hertz higher. The Martin passes the campfire test with flying colors, and it does it by putting its energy exactly where human hearing is most sensitive, at the cost of the partials that make a note feel low. That’s a real win. It’s just a different win from the one I described.

And the close-up comparisons flattered the big instruments. At two feet the Tario looked dramatically louder than everything else; at six feet, a good share of that lead was gone. Bass instruments are lying to you when you listen from arm’s length, and they lie most generously when they’re big.

The villain wasn’t in the room

This is the one I have to sit with.

The manifesto names inharmonicity from steel strings as the single biggest reason acoustic bass guitars fail. Every instrument I measured had either synthetic-core strings or the upright’s long-scale steel, and all of them came out essentially harmonic — the long scale really is steel’s medicine, exactly as I wrote. Which means the villain of my story never took the stand. Among these five instruments, almost everything I could see is explained by the body.

That doesn’t refute the claim. Steel may well be the gate that disqualifies a conventional acoustic bass guitar before its body ever gets a vote. But I haven’t shown it yet, and I’d rather tell you that than let you find it. The next recording I make is a steel-strung acoustic bass guitar, same room, same distance, same stroke.

What it adds up to

Two things, one practical and one I didn’t expect.

The practical one: the measurements make the design brief sharper than the argument ever did. The best acoustic bass guitar I own, the Tario, has its air resonance nearly thirty hertz too high and a hole in its response right where the low E’s third harmonic lives. My own instrument’s two targets land exactly on those two weaknesses. And the curve of output against air resonance is steepest precisely in the range I’m moving through — from a guitar body’s resonance in the nineties or hundreds down into the sixties — which is where each hertz buys the most at eighty-two. The honest target isn’t the upright. It’s the guitarrón’s body, under a bass that reaches the low E the guitarrón can’t.

The one I didn’t expect: the measurement caught me being wrong four times in one afternoon, and every time my prediction had the right shape and the wrong number. I guessed the Tario’s air resonance from the way its notes decayed and missed by fifteen hertz. I read a notch in its spectrum as a quirk of my right hand, and moving the microphone made it vanish. I spent a whole chapter arguing that perception is a controlled hallucination — a running prediction, graded by the world — and then I got to watch it happen to my own analysis. Guess, get corrected, update. It’s the same loop.

Which is also the best argument I have for the standard. For fifty years the only language anyone has used to describe an acoustic bass is adjectives. Punchy. Warm. Surprisingly loud. I did every measurement in this essay in an afternoon, with gear anyone can buy, and it told me things about my own instruments that twenty years of playing them hadn’t. The claim that this can’t be measured is simply false now.

The instruments had been trying to tell me this the whole time. I just finally held still long enough to listen.


The data behind this essay

Every chart, every measurement, and the full dataset to download and check for yourself.

See the measurements

Back to the manifesto