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Turntable Tonearm & Cartridge Resonance Calculator

Tonearm-Cartridge Resonance Formula

Mechanical resonance is governed by fr = 159.15 ÷ √((Marm + Mcart + Mscrews) × C10Hz). Target 8.0 to 12.0 Hz (with 9.0–11.0 Hz as the reference sweet spot) to isolate the stylus from 1–6 Hz record warps and footfalls while staying cleanly below 20 Hz musical sub-bass.

The Two Numbers From Your Spec Sheets

Quick Turntable Combos:

Straight from the arm spec sheet • Low ≤8g • Medium 9–15g • Heavy 16g+

From the cartridge spec sheet (1 µm/mN = 1 × 10⁻⁶ cm/dyne)

20 µm/mN is already a 10 Hz dynamic figure, so it converts 1:1.

Optional: cartridge weight & mounting hardware

Left at a typical 7.2g cartridge and 0.8g of steel screws unless you change them. Both feed the total effective mass.

Typically 5.0g to 10.5g

0.5g aluminum • 0.8–1.2g steel • 2–4g shim

9.18 Hz Resonance • Ideal Green Zone (8–12 Hz)

19.0g total effective mass × 20.0 µm/mN effective 10 Hz compliance

9.18 Hz
System Resonance (f_r)
19.0 g
Total Effective Mass
20.0 cu
Effective 10 Hz Compliance
Sweet Spot
8–12 Hz Tracking Target
9 – 21 cu
Ideal 10 Hz Compliance for Arm
2 – 12 g
Ideal Arm Mass for Cartridge

Headshell & Fastener Mass Fine-Tuning Table

Hardware / Headshell AdjustmentTotal Effective MassResonance FrequencyTracking Assessment

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