Hi Neo,
apologies for the silence, I didn't want to answer by typing on a phone.... and have not had time to get to my keyboard..
During my measurements a couple of years back (is it that long ago?) - I varied all 3 parameters (L, C, R) - the most difficult was Inductance (L) as it required various bodies that match - which was not always possible... With the Shure bodies I have "fat shank" bodies ranging from 500mH to 700mH, and the V15V at 320mH - I used a VN5MR-SAS and VN5xMR-SAS across these...
Initially I thought I would end up with the low inductance bodies as my optimum choice, but after working through it, science led me to the conclusion that for 47kOhm on a V15V body, optimum seemed to be circa 700pf.
I then set this asside for a while, thinking I must have done something wrong - and got on with other things.
With regards to imaging / soundstaging and phase - there are two parameters that are important, the first and most obvious one is seperation - the Shure design is a little more constrained in seperation than the AT VM design - on average the AT system has a 5db lead over the Shure.
The second aspect is phase, and I started to focus on phase...
Once I understood that any resonance generates a phase anomaly, I started to try to understand the physics behind it... The outcome of lots of reading was this:
Almost all naturally occuring phase variances are "Minimum Phase" - and the mathematical/physical nature of a minimum phase relationship between phase and amplitude, is that the two are symmetrical - that is to say, if you use another minimum phase technique to correct an amplitude deviation, you will also correct the phase deviation.
This is why a proper RIAA network corrects phase as well as amplitude - minimum phase encoding and decoding...
A standard LCR network as used for equalisation in many different circuits is a minimum phase circuit.
It took me quite a bit of googling and reading to investigate the maths behind cantilever resonances - in the end it was scientific papers on cantilever behaviour in electron microscopes that clinched it - cantilever resonance is another minimum phase phenomenon.
Once you have this - the keys are in your hands (/brain) - if you correct the amplitude variation generated by the cantilever resonance, using minimum phase equalisation methods, you will (in theory) correct the associated phase anomalies - approaching it this way -
flat frequency response does in fact equal flat phase response.It took me a while to get to this last conclusion, and even then I sought further confirmation, and searched for other data online that might confirm or debunk this hypothesis.
As you know testing phase is difficult (HUGE UNDERSTATEMENT) - and in fact would require a custom recorded LP with special test tracks... (which I may commission someday)
The only mechanism I have for looking at phase is square waves, which I do have a couple of test LP's for, but I have not gone down that path yet. My website was leading towards this, but I have not had the spare time and energy to do the many days of work that completing that investigation would require - another future project.
So getting back to the topic at hand:
The fundamental principle in audio is usually the same as with medecine "first do no harm" - so we like to avoid anything that alters either phase or amplitude frequency response (ie anything that affects linearity) - hence high shunt capacitance and high inductance are as a general rule to be avoided.
BUT - here we have an extremely non-linear aspect of reproduction - the cantilever...
An ideal cantilever, needs to have its native resonance at least 1 octave above the end of the audible audio zone.... if we assume that to be 20kHz - then the resonance needs to be at 40kHz or higher.
The only cantilever I own that achieves this is the Dynavector Karat 23RS - with the 2.3mm long ruby cantilever.
None of the AT cantilevers achieve it, nor does the SAS, or my Boron cantilever Empire MC1 etc... etc...
IF the cantilever achieves this goal - then a very low inductance can be used (such as MC) - and capacitance becomes relatively a non issue...
For MM/MI designs a lower inductance works well, combined with a low capacitance (eg: Technics EPC100 / EPC205)
BUT - the more imperfect the cantilever (ie the lower the resonance frequency) the more it affects the audible frequencies... and the more inductance and capacitance is required to then correct it.
If the cantilever resonance is well within the audible zone (such as 16kHz) then correcting it requires a high inductance body with mid-capacitance or a lower inductance body with much higher capacitance. In these cases what is achievable is flat F/R to 16kHz followed by a steep drop off - prime example is the Shure M97xE.
So coming back to my SAS / Shure measurements - it actually is not as bad as I thought if I need to combine a 320mH body with a 700pf capacitance - given that the cantilever involved has its peak resonance at 28kHz, and therefore impacts on the audible zone from 14kHz upwards. - The end result is an exemplary flat F/R.
Going into speculation mode - the Ortofon orthophase article that got several of us started on investigating phase, was part of a series of tests that Ortofon did, which led them to conclude that "Golden Eared" listeners preferred a slightly rising top end, even though this implied a phase variance. All Ortofon cartridges since that time (early 80's) have therefore used this as their ideal template...
It seems to me that AT may have reached the same conclusion, as their designs seem to reflect the same top end rise - and it became pretty much the standard in audiophilia....
On the other side of the fence - recording/mastering engineers aimed for flat frequency response so they could properly compare their end product (test pressings) to the master tapes.... and their preferred cartridges were Shure V15 and Stanton 881 families... (at least in the US) - it is interesting to consider that at the same time that audiphiles were preferring rising top ends recording engineers were preferring flat...
Which brings us back to the objective "lets reproduce the master tape" approach to a recording, vs the subjective "I like it better like this".
There is one aspect of all this that I have not yet got a handle on - and that is impedance...
Low inductance goes hand in hand with low impedance -and this may have an audible impact - however the impact of the low impedance (which is a reduced impact) - needs to be considered in balance with the concomittant reduced signal level (output V) - the non-linearities although lesser are also imposed on a lesser signal level, and may in fact be the same or greater for that relative signal level. (I hope I am making sense)
My intuition tells me that all else being equal - a lower impedance would be better - but lower impedance designs usually also reduce both inductance and signal levels... so all is NOT equal.
I also do not have any sort of a handle on what the impact of impedance would be on the audible signal.
Further note: - Yes I did and do vary R as well as C in my tuning experiments... and my optimum is seldom 47kohm
The combination of LCR can be used to flatten the high end, but it is also often used to fill in the midrange trough - another cantilever behaviour.... the midrange trough seems to be caused (my hypothesis) - by cantilever flexing - loss of energy, which is converted to harmonic distortion. - this phenomenon is unfortunately NOT a minimum phase one, as here we are converting from signal to harmonics - and boosting the signal using LCR methods results in flat amplitude response but NOT flat phase response.
This type of boost in the midrange approach is often used with lower and low-mid range cartridges with aluminium cantilevers (Shure M97xE...) - and is almost guaranteed (in my mind) - to result in some phase issues in the critical high midrange area where the most audible zone is for imaging/phase.
This area of performance is one where hollow tube cantilevers have an edge over solid rods.... (and shorter an edge over longer!)
So for a high quality MM/MI - a solid rod exotic cantilever will in almost all cases require a balancing of capacitance and inductance to achieve flat phase and frequency at the high end - and if the cantilever is of high enough quality, the midrange trough should be minimised (and may be correctable using digital linear phase methods... but that is a different topic). My conclusion with the SAS is that 320mH requires 700pf and vice versa 650mH requires circa 250pf (along with R tuning)
Another note: the AT20ss I have is picture perfect right on spec at 150pf and 47k
on the topic of the web site - I have not touched it in a couple of years.... when I start another round of tests and such I will update it accordingly!
bye for now
David
https://sites.google.com/site/zevaudio/