Hey Jim,
I didn't mean to say that the transmitted explorer frequencies are based on harmonics. If I understand correctly the explorer does operate on the frequencies you stated, nominally 1.5kHz to 100khz in 28 increments; when you noise cancel the explorer increments each frequency in this range by a set amount or percentage for each channel; if channel one used the base frequency of 1.5kHz for the first frequency, in channel two this is shifted to 1.8khz, (not sure what the real number is). Perhaps in channel three this is shifted to 2.1khz, etc. And all the other 28 operating frequencies are also shifted by a certain amount. What I mean by harmonics is harmonics of the 50 and 60 Hertz mains power used in the US(60hz) and many places overseas, most of Europe is (50hz). This kind of electrical noise would be found in almost all the places we hunt, except way out in the boonies. I'm speculating that if any of the frequencies for any one of the channels lands on or close to a power line harmonic frequency that minelab decided to not use that frequency because most likely it would pick up a lot of electrical noise from surrounding power lines. That may explain why some channels use more frequencies than others. I could be completely wrong about this, and would be curious to hear other theories.
By the way, I've found noise cancel to be pretty close to useless. I think it works well when you are trying to avoid a single specific frequency, like when working around another metal detector, but that most of the noise we encounter is pretty broadband in nature and the settings from one channel to another doesn't make much of a difference in most cases.
Chris