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I'm assuming that is why the 'Z' key is used in MHM?

I'd say yes. Using the Z key invokes frequency interpolation algorithm to overcome the discrete frequency step limitations which some people call picket fence effect.

The meaining of picket fence effect from https://www.vi-institute.org/terminology is as follows:

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Picket Fence Effect

The FFT spectrum is a discrete spectrum, containing information only at the specific frequencies that are decided upon by setting the FFT analyzer analysis parameters. The true spectrum of the signal being analyzed may have peaks at frequencies between the lines of the FFT spectrum, and the peaks in the FFT spectrum will not be at exactly the correct frequencies. This is called Resolution Bias Error, or the Picket Fence Effect. The name arises because looking at an FFT spectrum is something like looking at a mountain range through a picket fence.

**By a process of interpolation, it is possible to increase the apparent resolution and amplitude accuracy of the FFT spectrum by a factor of ten.**

Note the last piece, by a process of interpolation it is possible to increase the apparent frequency resolutionâ€¦ by a factor of 10. Personally I would use the phrase "effective resolution" instead "apparent resolution". In other words, we are generally getting a MUCH better estimate of the true frequency of a peak by applying frequency interpolation rather than using the bin center. And pressing Z does that.

Summary: Pressing Z applies that frequency interpolation algorithm to give you a better estimate of the frequency of the peak.

I would say this aspect is widely misunderstood or underappreciated in the vibration community. My own personal journey in trying to figure out and explore this mysterious thing is recorded in this meandering thread (I'll see if I can dig up some of the spreadsheets). It really impressed me to see how much accuracy in estimating a peak frequency is gained with frequency interpolation. If you are trying to get the best info from previously collected data to help what a particular peak really represents, it can really help to have the best frequency estimate available (using Z). Of course it cannot overcome the limitations of the original bin width selection set up when the data was collected. In other words it won't help use discriminate two close-together peaks whose actual spacing is a small number of bin widths. (that requires using more lines and/or lower Fmax during data collection to increase resolution / reduce the bin width ...which makes those peaks a larger number of bin widths apart).