To make a "honk" we must make a "hah" exclamation followed by an "n" sound by touching the tip of the tongue to right behind the front top teeth. The "k" sound comes from clicking the back of the tongue to the roof the mouth.
"Hay" is different. Start with a "huh" utteration and immediately widen the corners of the mouth and finish with an "ee" sound by bringing the tip of the tongue close to the roof of the mouth (but not touching!).
Hope this helps!
Honking or snarling tones are milder equivalents to the unstable "wolf" tones, where certains zones of the plates vibrate disproportionately. I had an old Maidestone VSO which howled like banshee: I found placing the soundpost directly beneath the right foot of the bridge (rather than behind it) helped a little to tame these exuberant vibrations.
I think we all want an AH sound, with a touch of a ringing EH, and some warm OH on the g-string. Like a fine Italian tenor voice? For a bit of fun, we can place balls of mastic (briefly!) on various parts of the plates to hear what changes.
Bowing nearer the brigde will increase the EH or EE component, but only within the limits of the instrument itself.
Some years ago I remember we were rehearsing the Symphonic Dances from West Side Story, the moment when the whole orchestra shouts "Mambo!". According to the conductor it sounded more like "Maidstone".
However, singing, like violin playing doesn’t have a table of values you can plug into an equation and get a consistent result at the opposite end. I think when I was first learning I did look for such a table and found it, but immediately realized how foolish I had been. There was no way for me to translate practically that information into actual playing. Even if you could, playing and singing are based off of multiple finely-tuned micro-movements that you adjust constantly based off of your current feedback. Therefore the (x) you plug into f(x) will never truly be the same from moment to moment.
I hope this helps and I didn’t completely misunderstand what the OP was asking. Haha.
As for Szigeti, his Debussy Sonata from the 30s has an astonishing range of color. I'd love to know how he got all that.
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