My most sensitive PI machine is a modified C-Scope CS6PI operating at 13.6 K PPS, about twice the normal frequency range. I added a 4-pin microphone connctor, that just fits the existing hole, to allow easy coil changes.
I found that some coils would only start to work at about the 9 o'clock dial position (with 7 o'clock or fully CCW being the highest speed). Then by doing careful measurements and reviewing all of Eric's and Reg's postings about coils I managed to better understand coil dynamics as it relates to speed.
I have wound many coils, some with plain magnet wire; AWG 22, 24, and 26 stranded hook up wire; served litz wire; and one of the best coils is made from a 50 ft spool of Radio Shack Kynar coated AWG30 wire wrap. 18 turns will just fit on a 10.5" diameter coil form, which is designed to fit inside a Hays Electronics 11" round coil housing. For shielding, first I wrap the wire bundle with dental floss, then a single layer of electrical tape the a 1/4" OD spiral wrap as a spacer to reduce coil-to-shield capacitance. The final shield of 3M 1190 copper fabric tape is wound around the spiral wrap. I have about 100 pf shield-to-coil capacitance. Here, lower is better.
I only use about 32" of coax between the coil housing and the CS6PI control box. I was lucky enough to have about 25 ft of old "CZ Connector and Cable 8/U" blue coax cable that is not detected by the coil at the fastest PPS speed. Neither is the 3M 1190 copper fabric tape shield able to be detected. I tried many types of coax and lucked out with this.
The real test of coil quality is the free resonance when measured by a pulsed square wave being induced into the coil under test by another coil connected to the pulse generator. Scope probes add capacitance to the resonant circuit, which is very sensitive to even small capacitive loading at resonance. Therefore, measuring the induced coil self resonance, as Eric mentioned, is a more accurate way to do the measurement. Measure the the coil, shield and coax together for self resonance and use this as a figure of merit when comparing coils. I have gotten some of my 320uH coils to be in the 600 to 625khz range. Higher is better! The self resonance then translates into the optimum value of the damping resistor. Again the high value is better, meaning there is less capacitance or stored energy needing to be damped.
One interesting test you can do is to compare the free resonance of the coil to the ringing resonance of the coil connected to the PI machine with the damping resistor removed. Here you can see the effect of the PI circuitry on the coil resonance. MOSFETS typically add the most circuit capacitance.
What is the self resonance of your coil operating at less then 5 uS?
bbsailor