RACK/ARRAYS & PHASE
ϕ\phi

Phase shift

Turn milliseconds into a clearer picture of phase.

Inputs

YOUR SYSTEM
Hz
2020000
ms
0100

Result

METER
Phase lag
90.0°
Wrapped to the range 0 to less than 360 degrees
Total delayed cycles
0.250cycles
Unwrapped lag
90.0°
Period at frequency
10.000ms
+10-1RELATIVE AMPLITUDE10.000 ms = one cyclereferencedelayedTIME
Reference vs. delayed signal: Pure time delay

How it works

The same delay, a different phase at every frequency.

A time delay shifts a waveform by a fraction of its cycle. Multiply the number of delayed cycles by 360 to find phase lag, then wrap it to one rotation.

The formula

ϕ=(360⋅f⋅Δt1000) mod 360∘\phi = \left(360 \cdot \frac{f \cdot \Delta t}{1000}\right) \bmod 360^\circ
  • ff — frequency in hertz
  • Δt\Delta t — time delay in milliseconds
  • A lag is a negative phase in signed notation

Worth knowing

A 2.5 ms delay is 90 degrees at 100 Hz, but 180 degrees at 200 Hz. A full 360-degree wrap does not mean broadband time alignment.

Assumptions

Shows pure delay only. Loudspeakers, crossovers and filters add their own frequency-dependent phase responses. Polarity reversal is not the same as a time delay.

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