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Posted (edited)

Hi all,

I'm looking to upgrade my current cartridge, the Nagaoka MP-200, due to stylus wear. I am happy to remain in the Nagaoka family, and while the MP-200 was fantastic in my system, I am tempted and most likely to jump up to the MP-500. I have been researching other options such as the Sumiko Amythest MM, Audio-Technica VM760SLC, and Goldring 1042, however I have been more than satisfied with the MP-200 & Nagaoka sound.

However, I did want to check my compliance arithmetic with the community before moving forward.

System:

Technics SL-1200MK2 Turntable
Effective length = 230mm or 9”
Effective mass = 12g

Jelco TS-850S Tonearm
Effective length = 232mm or 9”
Effective mass = 13.5g
Overhang = 18mm
Tonearm height adjustment = +38-60mm
Suitable cartridge weight = 17-35g

Nagaoka MP-200 Current cartridge/stylus
Output voltage = 4mV
Load resistance = 47K ohm
Load capacitance = 100pF
Dynamic compliance = 7.2 x 10-6 cm/dyne
Weight = 6.5g
Tracking force range = +1.5-2.0g

Nagaoka MP-500 New cartridge/stylus potential
Output voltage = 3mV
Load resistance = 47K ohm
Load capacitance = 100pF
Dynamic compliance = 8.5 x 10-6 cm/dyne
Weight = 7.8g
Tracking force range = +1.3-1.8g

Jelco HS-25 Headshell
Mass = 12.5g
Azimuth adjustable
Magnesium alloy

Graham Slee - Reflex M Phono stage
Input sensitivity range = 1.6-9.2mV
Input impedance = 47K ohm

With these specs, and using the following formula:

F = 1000 : (2 x π x √ (M x C)) 
π = 3.14159265359
C = 7.2
M= 34.5

The resonant frequency for the MP-200 = 10.10 Hz

Using the same formula to determine the resonant frequency of the MP-500:

F = 1000 : (2 x π x √ (M x C)) 
π = 3.14159265359
C = 8.5
M= 34.5

The resonant frequency for the MP-500 = 9.28 Hz

Since it's 2024, I even got ChatGPT to calculate!

So with these figures, can anyone confirm compliance and compatibility between cartridge and tonearm? I am aware that the MP-500 is a line-contact type of stylus, so obviously more attention to SRA/VTA will be required.

Thanks for the read and hoping for clarity!

Edited by iz_thewiz
Updated calculations

  • 2 weeks later...
Posted (edited)

hey Matt @iz_thewiz you could check your numbers using one of the online tools like this https://korfaudio.com/calculator

 

Pretty neat as it indicates graphically how 'ideal' the match should be, and a feel for 'what if' scenarios where you are considering carts with greatly different compliances :geek:

Edited by 2Brix
Posted
11 hours ago, 2Brix said:

hey Matt @iz_thewiz you could check your numbers using one of the online tools like this https://korfaudio.com/calculator

 

Pretty neat as it indicates graphically how 'ideal' the match should be, and a feel for 'what if' scenarios where you are considering carts with greatly different compliances :geek:

Hey mate! 

 

Thanks for the reply. I did reference the Korf Audio calculator amongst other options on-line, including ChatGPT. I'm pretty confident I am compliant. Korf Audio has great blogs, highly recommend to anyone really. 

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