Crossover Phase Tracking Calculator
Estimate how two speaker ways track through a crossover by combining measured acoustic phase, filter target, driver offset, polarity, high-driver delay, level balance, and listening geometry.
Load a common loudspeaker alignment, then adjust the measured phase values from your measurement software. The math treats the low driver as the timing reference and calculates the high driver's effective phase at Fc and across the selected tracking band.
The calculator uses complex summing at Fc, speed-of-sound delay conversion, and minimum-phase filter-shape estimates anchored to your measured phase. A real verification still requires polarity inversion and measurement sweeps around the final listening axis.
Full Phase Tracking Breakdown
Phase tracking score
Band phase spread
Offset distance
Error as cycle fraction
In-phase target at Fc for many 2-way monitors
Often needs high-way polarity inverted
Subwoofer delay moves phase rapidly
One inch offset is about 15 degrees
Deep acoustic centers may need DSP delay
Short spacing helps lobing but phase still matters
Breakup and rolloff alter acoustic phase
Padding changes level, not acoustic timing
| Target | Nominal Slope | Polarity At Fc | Phase Tracking Note |
|---|---|---|---|
| Linkwitz-Riley 4th | 24 dB/oct each way | Same polarity | Low and high outputs are nominally in phase through Fc when acoustic centers are time aligned. |
| Linkwitz-Riley 2nd | 12 dB/oct each way | Usually invert one way | Electrical targets are 180 degrees apart at Fc, so polarity inversion restores summing. |
| Butterworth 3rd | 18 dB/oct each way | Same polarity | Can sum flat on-axis but often shows asymmetric vertical lobing. |
| Butterworth 2nd | 12 dB/oct each way | Depends on acoustic phase | Produces peaking or dipping unless driver phase and polarity are checked carefully. |
| First order | 6 dB/oct each way | Often same polarity | Needs broad driver overlap and low acoustic offset because both ways radiate far from Fc. |
| Phase Error | Equal-Level Sum | Loss Vs Coherent | Likely Listening Result |
|---|---|---|---|
| 0 degrees | +6.02 dB | 0.00 dB | Maximum acoustic addition at the crossover point. |
| 30 degrees | +5.72 dB | -0.30 dB | Usually excellent if the off-axis response is also smooth. |
| 60 degrees | +4.77 dB | -1.25 dB | Audible contour shift can appear through the crossover band. |
| 90 degrees | +3.01 dB | -3.01 dB | Partial cancellation; polarity and delay deserve a close look. |
| 120 degrees | 0.00 dB | -6.02 dB | Strong dip for equal levels; off-axis lobing usually becomes obvious. |
| 180 degrees | Deep null | Very large | Classic reverse-polarity null; useful for checking acoustic symmetry. |
| Frequency | One Cycle Time | 30 Degree Offset | One Inch Phase |
|---|---|---|---|
| 80 Hz | 12.50 ms | 1.04 ms / 14.1 in | 2.1 degrees |
| 500 Hz | 2.00 ms | 0.17 ms / 2.3 in | 13.2 degrees |
| 1,200 Hz | 0.83 ms | 0.07 ms / 0.9 in | 31.7 degrees |
| 2,000 Hz | 0.50 ms | 0.04 ms / 0.6 in | 52.9 degrees |
| 3,500 Hz | 0.29 ms | 0.02 ms / 0.3 in | 92.6 degrees |
| Project Type | Typical Fc | Critical Phase Check | Practical Target |
|---|
You select your drivers after poring over datasheets. You run calculations for crossover frequency. You purchase inductor and capacitors. You build a cabinet with rigid bracing.
Now you’re ready to sit back and listen: the midrange is thin; the bass doesn’t feel connected. And it’s almost never the fault of components. It’s nearly always phase. More specificly, it’s what occurs during the transition. The acoustic seam, when one driver hands off energy to the next. Unless their waves matches up, you aren’t listening to music. You’re listening to cancellation.
Why Phase Matters More Than Parts
That’s why the calculator up top include the physical offset of each driver along with the measured acoustical phase and combines them with target filters to estimate how those waves will interact. It assumes the low driver is your time reference and determines actual phase of the high driver at the crossover point. Because when it comes to electricity, it lies to you. That Linkwitz-Riley fourth-order filter appears all nice and neat on paper (a.k.a. Circuit simulator), but when signal exits the coil and travels through space, things change with distance.
Set your tweeter back just an inch from woofer plane and it’ll arrive late at your ears. And at high frequencies, that small amount of distance amounts to a huge chunk of a wavelength. Until then, most builders don’t think about it; they just figure if they match the electrical filters, everything will sound okay. Not always.
To do so, the tool allow you to enter the depth offset of the high-frequency dome or horn. You can also enter its vertical distance from center of the other drivers. You also indicate whether you inverted polarity wiring. A simple switch can alters the phase angle by one hundred eighty degrees, changing a peak into a null.
With all this information, the calculator runs the math on interaction and displays whether your summed response is coherent or whether you’re wasting a considerable amount of acoustic energy due to destructive interference.
To understand what’s going on, remember: Decibels aren’t the only thing to consider. There are also waveforms. In a perfect world, with no phase error at all, you have maximum addition (the desired result for most music playback). Already at sixty-degrees difference, you begin to see a dip in combined response. At one hundred twenty degrees of error, drivers is working against each other and the output drops substantially.
The chart on the page makes this clear. It shows how rapidly combined power can collapse when alignment begins to drift. You may think a couple of degrees of mismatch doesn’t matter. However, the way we hear audio makes it sound like distant or hollow sound image.
Where it gets interesting is what do you do if it’s out of time? Adding a delay to high driver shifts the vertical lobe pattern, which might not help depending on where you are sitting. That delay could of actually make it worse instead of better, unless you are sitting right on axis. That’s where the calculator shines as it provides an estimated view of how the main lobe aims for the given distance from your listening position. It will force you to see the compromise between directivity off axis versus on-axis phase coherence. You can’t have them both perfect all at once. Where is the sweet spot? You’ll need to decide.
Even fewer designers account for temperature. In warmer air, sound travels quicker, altering the physical delay each inch represents. This isn’t significant at room temperature, unless you’re outdoors or doing very precise work. Because acoustic alignment isn’t opinion, it’s physics, and there’s a field for air temperature on the tool.
Fundamental timing errors can’t be EQ’d away. Sure, equalization alters amplitude but it doesn’t advance or delay the waveform in time. Align phase first, tune levels second (that keeps entire system together). First measure your phase of each driver independently at crossover frequency. Input those numbers plus your physical dimensions. Examine predicted response of the sum. Do you see a large null? Reverse the polarity and recheck. Now tweak the delay until they’re locked in-phase.
It’s subtle, but more important than all the cool parts in the link. Making them come in sync makes two different sources become one single instrument. The smooth transition lets the speaker vanish, leaving only the sound.