# Crossover Calculator

This crossover calculator can be employed for the calculation of passive filters (first, second, third, and fourth order) in two-way and three-way crossover networks. It will also create a circuit diagram and provide the component values you require.

Instructions: Choose your crossover type (two-way or three-way), input impedance values for tweeter, woofer and midrange (with a three-way crossover network), choose the order/type of the filter, input the crossover frequency, and click on the "Calculate" button. The calculator will then provide the component values required for the crossover type you have chosen.

Crossover Design Calculator

Ohms (Ω)

Ohms (Ω)

Hertz (Hz)

The crossover calculator uses the following formulae:

Two-Way Crossover Network Design Formulae

1st Order Butterworth1st Order Solen Split -6 db
C1 = .159/RHf.1125/(RHf)
L1 = RL/6.28f.2251RL/f

2nd Order
Bessel
2nd Order
Butterworth
2nd Order
Chebyshev
2nd Order
C1 = .0912/(RHf).1125/(RHf).1592/(RHf).0796/(RHf)
C2 = .0912/(RLf).1125/(RLf).1592/(RLf).0796/(RLf)
L1 = .2756RH/f.2251RH/f.1592RH/f.3183RH/f
L2 = .2756RL/f.2251RL/f.1592RL/f.3183RL/f

3nd Order Butterworth3nd Order Bessel
C1 = .1061/(RHf).0791/(RHf)
C2 = .3183/(RHf).3953/(RHf)
C3 = .2122/(RLf).1897/(RLf)
L1 = .1194RH/f.1317RH/f
L2 = .2387RL/f.3294RL/f
L3 = .0796RL/f.0659RL/f

4th Order
Bessel
4th Order
Butterworth
4th Order
Gaussian
C1 = .0702/(RHf).1040/(RHf).0767/(RHf)
C2 = .0719/(RHf).1470/(RHf).1491/(RHf)
C3 = .2336/(RLf).2509/(RLf).2235/(RLf)
C4 = .0504/(RLf).0609/(RLf).0768/(RLf)
L1 = .0862RH/f.1009RH/f.1116RH/f
L2 = .4983RH/f.4159RH/f.3251RH/f
L3 = .3583RL/f.2437RL/f.3253RL/f
L4 = .1463RL/f.1723RL/f.1674RL/f

4th Order
Legendre
4th Order
Linear-Phase
4th Order
C1 = .1104/(RHf).0741/(RHf).0844/(RHf)
C2 = .1246/(RHf).1524/(RHf).1688/(RHf)
C3 = .2365/(RLf).2255/(RLf).2533/(RLf)
C4 = .0910/(RLf).0632/(RLf).0563/(RLf)
L1 = .1073RH/f.1079RH/f.1000RH/f
L2 = .2783RH/f.3853RH/f.4501RH/f
L3 = .2294RL/f.3285RL/f.3000RL/f
L4 = .2034RL/f.1578RL/f.1500RL/f

Note: The values are in Farads (C1 - Cn), Henries (L1 - Ln), Hertz (f) and Ohms (RH, RL).

Three-Way Crossover Network Design Formulae

1st Order Normal Polarity
fH/fL=10
1st Order Normal Polarity
fH/fL=8
C1 = .1590/(RHfH).1590/(RHfH)
C2 = .5540/(RMfM).5070/(RMfM)
L1 = .0458RM/fM.0500RM/fM
L2 = .1592RL/fL.1592RL/fL

2nd Order (Reverse Midrange Polarity)
fH/fL=10
2nd Order (Reverse Midrange Polarity)
fH/fL=8
C1 = .0791/(RHfH).0788/(RHfH)
C2 = .3236/(RMfM).3046/(RMfM)
C3 = .0227/(RMfM).0248/(RMfM)
C4 = .0791/(RLfL).0788/(RLfL)
L1 = .3202RH/fH.3217RH/fH
L2 = 1.0291RM/fM.9320RM/fM
L3 = .0837RM/fM.0913RM/fM
L4 = .3202RL/fL.3217RL/fL
Bandpass Gain = 2.08dbBandpass Gain = 2.45db

3rd Order Normal Polarity
fH/fL=10
3rd Order Normal Polarity
fH/fL=8
C1 = .1138/(RHfH).1158/(RHfH)
C2 = .2976/(RHfH).2927/(RHfH)
C3 = .0765/(RMfM).0884/(RMfM)
C4 = .3475/(RMfM).3112/(RMfM)
C5 = 1.068/(RMfM).9667/(RMfM)
C6 = .2127/(RLfL).2130/(RLfL)
L1 = .1191RH/fH.1189RH/fH
L2 = .0598RM/fM.0634RM/fM
L3 = .0253RM/fM.0284RM/fM
L4 = .3789RM/fM.3395RM/fM
L5 = .2227RL/fL.2187RL/fL
L6 = .0852RL/fL.0866RL/fL
Bandpass Gain = .85dbBandpass Gain = .99db

3rd Order (Reverse Midrange Polarity)
fH/fL=10
3rd Order (Reverse Midrange Polarity)
fH/fL=8
C1 = .0995/(RHfH).0980/(RHfH)
C2 = .3402/(RHfH).3459/(RHfH)
C3 = .0683/(RMfM).0768/(RMfM)
C4 = .3128/(RMfM).2793/(RMfM)
C5 = 1.148/(RMfM)1.061/(RMfM)
C6 = .2126/(RLfL).2129/(RLfL)
L1 = .1191RH/fH.1190RH/fH
L2 = .0665RM/fM.0711RM/fM
L3 = .0233RM/fM.0254RM/fM
L4 = .4285RM/fM.3951RM/fM
L5 = .2546RL/fL.2586RL/fL
L6 = .0745RL/fL.0732RL/fL
Bandpass Gain = 1.6dbBandpass Gain = 2.1db

4th Order Normal Polarity
fH/fL=10
4th Order Normal Polarity
fH/fL=8
C1 = .0848/(RHfH).0849/(RHfH)
C2 = .1686/(RHfH).1685/(RHfH)
C3 = .3843/(RMfM).3774/(RMfM)
C4 = .5834/(RMfM).5332/(RMfM)
C5 = .0728/(RMfM).0799/(RMfM)
C6 = .0162/(RMfM).0178/(RMfM)
C7 = .2523/(RLfL).2515/(RLfL)
C8 = .0567/(RLfL).0569/(RLfL)
L1 = .1004RH/fH.1007RH/fH
L2 = .4469RH/fH.4450RH/fH
L3 = .2617RM/fM.2224RM/fM
L4 = 1.423RM/fM1.273RM/fM
L5 = .0939RM/fM.1040RM/fM
L6 = .0445RM/fM.0490RM/fM
L7 = .2987RL/fL.2983RL/fL
L8 = .1502RL/fL.1503RL/fL
Bandpass Gain = 2.28dbBandpass Gain = 2.84db

Note: The values are in Farads (C1 - Cn), Henries (L1 - Ln), Hertz (fH, fM, fL) and Ohms (RH, RM, RL).   fM = (fH × fL)1/2

Reference: Dickason, Vance. (2006). The Loudspeaker Design Cookbook. 7th edition. Audio Amateur Press. pp 163 - 169