Issues Created When Adding Lead Mass and Removing the Decoupling of the I Beam on the ET2
04-21-13: Richardkrebs
b)....a heavy arm, when and only when, connected to a low compliance cartridge is a high performance, viable alternative
This statement is not correct within the context of the ET2.
Adding Lead to the arm increases the horizontal mass.
Removing the decoupling on the I Beam increases the horizontal mass.
The ET2 is designed with a target horizontal mass to be used in conjunction with a decoupled I Beam & Counterweight.
Increasing the horizontal mass increases distortion due to the additional side loads on the cantilever & tracking is compromised.
Increasing the horizontal mass creates a large peak resonance in the bass that also affects tracking and increases distortion.
Bruce Thigpen
If the weight is coupled the system resonant frequency would be extremely low, a resonant frequency at 3Hz with a significant rise in response (6-12dB) results, which would affect tracking slightly because of the asymmetric position of the cantilever, we opt for splitting the horizontal resonance frequency into two points and lowering the "Q" which improves tracking.
More important than tracking, the intent was to reduce the modulation effects of low frequency energy (FM and AM) that increase distortion in the cartridge
When you add mass and remove the decoupling how big is the resonance in the bass?
Bruce Thigpen has measured up to a 6-12db lift in the bass when testing the removal of the decoupling from the I beam
04-23-13: Richardkrebs
Maths and Physics.
Amplitude
A few weeks back I posted a transmissibility graph showing the effect of excitation frequencies at various multiples of the resonant frequency. This graph can be used to show relative resultant amplitudes for known resonant and excitation frequencies.
For a standard ET2 using in my case a Shelter Harmony, we get a resonant frequency of 8.4 hz. On my heavy arm, this frequency drops to 5.3 hz. If we take the lowest frequency of interest to be 20hz we get multipliers of res freq of 2.4 and 3.8 respectively.
By applying these multipliers to the graph we can see that the system which resonates at 8.4 hz shows a small rise in amplitude about 15%. If we now compare this with the 5.3 hz example we see a much smaller rise around 5%. We have to extrapolate this answer, since it is off the scale of the graph. In other words at audio frequencies the heavy arm produces less bass boost.
You can also see that the damping applied has very little effect on the resultant gain as the lines are trending together. This means that even if we factor in a higher resonant amplitude for the heavy arm, we can see that while it alters things slightly, it has minimal effect.
There is some merit in a discussion of what happens at sub sonic frequencies but the arm with the lower multiplier (lighter arm) will face problems sooner as we decend below audible frequencies.
As explained earlier in this thread the maths quoted above is for a single pendulum. The calculations above are based on a singular pendulum. The calculations above do not take into account the fact that the ET2 arm & cartridge have multiple pendulum effects in the horizontal mode –
- the cartridge cantilever swings around the record pivoting at the stylus tip
- the cartridge cantilever swings around the cartridge at the suspension end
- the I beam
This is why when Bruce Thigpen measures the impact of coupling the I beam he can measure up to a 6-12db lift in the bass. The calculated numbers in the above post are are theoretical calculations for a single pendulum, which does not apply. No actual test results have been provided that support these numbers and conclusions.
Does this resonant peak really matter if it is below the audio spectrum ?
04-27-13: Ct0517
I usually hear only about audio designers trying to come below the audio spectrum – especially with a TT setup ?
That is what the conversations have been based on here as well ? 2hz – 6 or 7 hz. .
The fundamental resonance is created by the combination of the compliance/mass of the cartridge vs the effective mass of the arm.
Tonearm designers try to keep this as low as possible and minimize its amplitude.
The peak rise in bass response generated by the arm/cartridge does not rise and fall at one frequency. The peak resonance has a spread either side of that calculated peak resonant point.
Again I need to reiterate that Bruce has actually measured bass lifts of 6-12db when removing the decoupling.
Even if one ( wrongly ) assumed this resonance has no effect because it is out of the audio band, one would be wrong because the bass lift ( nasty peak resonance ) can impact tracking adversely.
This is why adding lead mass and removing the decoupling as advocated is wrong. Not only is it increasing inertia and side loads on the cartridge, it is also putting a lift in the bass frequency by removing the split resonance functionality that this arm uses to give a flat response. Adding lead mass and removing the decoupling will increase cantilever flex and tracking distortion.