Sealed Box Qtc Calculator for Speakers

Sealed Box Qtc Calculator

Estimate sealed speaker alignment from Vas, Qts, Fs, current box volume, stuffing, losses and target Qtc, then see Fc, F3 and the volume change needed.

Driver and Box Presets
Sealed Box Inputs
Total Vas and displacement scale by driver count.
Used with series resistance to adjust effective Qts.
Common choices: 0.58 overdamped, 0.707 flat, 0.85 punchy.
Installed Qtc
0.707
Butterworth style alignment
Closed-box Fc
55 Hz
system resonance
Estimated F3
55 Hz
relative to upper bass plateau
Volume adjustment
+0.0 L
gross box change to hit target

Calculation Breakdown

Enclosure Spec Grid
42.0 L
Gross internal
39.0 L
Net physical
44.9 L
Effective acoustic
55.0 L
Target gross
Alignment Reference
Qtc targetAlignment characterF3 behaviorTypical use
0.50 to 0.58Overdamped, very smooth rolloffF3 well above FcEQ-assisted sub, studio accuracy
0.60 to 0.70Controlled with little overshootF3 close to Fc near 0.707Hi-fi woofer, small monitor
0.707Maximally flat Butterworth responseF3 equals Fc by definitionGeneral sealed speaker design
0.80 to 1.00Raised upper bass and stronger punchF3 below Fc but peakierCar audio, guitar, compact boxes
Above 1.10Audible hump and ringing riskLow F3 can be misleadingOnly when voicing demands it
Stuffing and Loss Reference
Fill choiceEffective volumeQ effectDesign note
Bare sealed box1.00xHighest Qtc for a given boxBest for measurement baselines
Light wall lining1.08xSmall Qtc reductionUseful in midbass chambers
Moderate loose fill1.15xNoticeable Qtc reductionCommon sealed hi-fi starting point
Heavy fill1.22xLower Qtc, more lossCheck that the cone can breathe
Very dense fill1.28xCan overdamp and heat voice coil areaUse only with measurement checks
F3 Estimate Table
QtcF3 / Fc ratioShapePractical reading
0.501.55Gentle rolloffNeeds EQ or room gain
0.581.27Smooth bassGood accuracy target
0.7071.00Flat responseClassic sealed alignment
0.850.85Mild warmthCompact box compromise
1.000.79PeakyF3 hides the response hump
Common Sealed Box Starting Points
ScenarioDriver dataBox ideaTarget
Small studio monitorVas 20-45 L, Qts .35-.4510-25 L with moderate fillQtc .58-.70
Hi-fi floor wooferVas 70-160 L, Qts .30-.4240-90 L net before fillQtc .65-.75
Subwoofer with DSPVas 80-250 L, Qts .30-.45Larger sealed chamberQtc .50-.65
Car cabin subVas 20-60 L, Qts .42-.60Small stiff enclosureQtc .75-.95
Guitar speaker cabHigh Fs and higher QtsOften intentionally smallQtc .85-1.10
Measurement tip: Real Vas and Qts vary by driver sample, break-in, temperature and added resistance. Re-measure impedance after the cabinet is sealed if the exact alignment matters.
Build tip: Use the target gross volume as a woodworking number, then subtract braces, driver basket displacement and any thick internal lining before judging the acoustic volume.

When your newly built speaker box comes back to you sounding hollow, you might get a case of the panics. You did everything right by measuring and assembling it snugly. But bass seems to be missing some depth. In most cases, the glue and wood were not the issue. The issue was more likely the Qtc.

What’s that? It’s a number describing what the driver does in the enclosure vs. Than it describes what it does in free air. Once you understand it, building speakers go from guessing to an exercise in acoustical engineering. No longer do you have just a boxed up cone. Now you have system you’re tuning.

How to Fix Hollow Speaker Sound

Fortunately, this website does all the fancy math for you in their calculator. Simply input the dimension of the box and some specifics about driver and let the calculator do the rest. But what are those inputs?

For starters, there’s Vas, or the equivalent air compliance of the suspension. Imagine a spring stiffness. If your driver has a high amount of Vas then it can absorbs freely in a lot of air. Now take that same cone and try to trap it in a small box. You’ve just added a stiff spring to the suspension of that driver. So system resonance increase and the low end roll off occurs at a higher frequency. That is why box size are so important.

Total Quality Factor (Qts) measures how long a driver take to stop. Low Qts drivers stops fast. High Qts ring out. When a driver is sealed into a box these numbers become the Qtc. Designers generally target 0.707, which is called Butterworth alignment. This provides a flat response with no peaks or dips at the cutoff frequency. Acoustically it’s neutral.

Go lower than that towards 0.58. The bass will be smooth but lack punch. Going above it towards 0.90 or even 1.00 gives impact but produces a hump in the response that can be boomy. You can see those trade-offs based off the reference table. Then, you can select the character of the bass you like best before cutting any panels.

Stuffing is important. Builders have long thought of fiberglass or polyfill just as a way to deaden cabinets. They work that way, but they also warm up air inside the cabinet. The warmer the air, the less it will compress. That makes the apparent volume bigger to the driver. Fifteen-percent extra volume occurs with a modest amount of stuffing. This little trick lowers Fc and Qtc. It gives more bass with no increase in external width. Not bad for a low cost solution. To account for this, the tool let you set a stuffing factor. That means your prediction matches reality instead of an empty box.

Don’t overlook displacement. Inside that speaker cabinet is a big lump of wood or plastic called a woofer. That thing is going to displace some volume. You are measuring your box out externally (front to back X top to bottom X left to right) and not deducting for the terminal cup, driver basket, or bracing. You’ll end up with less interior air space than you thought. Less interior equals higher Qtc. A.707 was your goal, now it’s 0.95 because you didn’t factor in displacement and your bass is peaking. The calculator asks for net physical volume and subtracts driver displacement automatically if you provide the gross dimensions. No more mistakes caused by forgetting about what’s taking up space inside.

The real world isn’t always so good at building boxes. Poorly sealed ports and corners may leak and reduce effective Q. For this reason there’s a loss factor built into the tool. A small leak in a box is different than having a perfectly sealed box. Before you throw away those driver specs because the measured response doesn’t look right, inspect the seals. You might find that the drivers themselves vary from sample to sample. It’s wise to re-measure impedance after break-in if it matters.

Sealed box design comes down to a balancing act: you are trading extension for control, or punch for accuracy. There’s not one right answer… just what tastes best in your space. Set expectations using the calculator. Build carefully while considering volume and stuffing. Then listen with an open ear. Your ears will tell you what works best. The math should of got you there.

Sealed Box Qtc Calculator for Speakers

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