Amplifier with a sound. How to build for second harmonic.

What can I technically do when designing an amplifier to make it add plenty of second harmonic?

Create distortion is not too difficult.
But to generate mostly 'earfriendly' second harmonic - how do we do this?

I have one suggestion.
It is wellknown that big MOSFETs generate some 2nd.
But more specifically how do we add them?
How do we build?

Give from your experience and tell me.
Thank you.
 
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Here is something what mean.

It is a small headphone amplifier
with IRF610 diff pair input
and a single end IRFP240 output fed from current source.
There are no bipolar doing any gain.

This harmonics spectra speak for itself.
You get the third harmonic along with the second.
 

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You can do it easily with almost any feedback push-pull amplifier like this:

http://www.diyaudio.com/forums/solid-state/168503-tgm-amp-goes-tubey.html

I've looked at other options before too:

http://www.diyaudio.com/forums/solid-state/186817-biguns-bootstrap.html

And Hugh Dean of AKSA fame is probably the best at tuning amps for a good harmonic profile, usually favouring H2.

Danielwritesback talks about putting a diode in parallel with a resistor in the +ve supply rail for the same result, here (post 62):

http://www.diyaudio.com/forums/chip-amps/129692-chip-amp-you-like-most-4.html#post3219561
 
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Don't be too focused on just H2 distortion. The most desired distortion is said to be low order; i.e. H2,H3,H4,H5 in declining magnitude.
AFAIK, that's like Jerluwoo's graph in post #7 or your #5. It's probably easier to generate that desirable type of distortion "profile"
than any single harmonic.
 
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Originally designed as a guitar distortion preamp I added R17 so the input is +-1V instead of +-10mV. Just mix Vout and Vin to get as much distortion as you want.
Schematic, FFT 1Khz, Vin-Vout 1Khz, distortion 1Khz, distortion 100hz
 

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However the distortion does vary with input amplitude, but it is still predominately 2nd harmonic.
100mV Vin 1Khz
 

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