Absorbent vs Adsorbent
These two terms are often not understood enough by the average person, absorbent materials hold liquids or gases inside their structure. These are materials that we use to hold water in our mixes.
Adsorbent materials have a very high surface area, they literally trap individual molecules on their surface via Van der Waal forces (no you don't need to know that word, but it is fun to say :-). We use these materials for their very high CEC, and they also hold water, but not as well as absorbent materials.
Adsorbent materials include:
Calcined Clays (turface, oil dri, etc.)
Lava rock
Most charcoals
Bark

Absorbent materials:
Barks
Vermiculite
Lava rock
Charcoal

Yes, some of these belong to both. Some charcoals are more absorbent, some are more adsorbent, but all are both. The same holds true for many of the materials listed.
So for Gritty Mix (I wish I could put a trade mark symbol there, Al deserves it), Turface (70% ads. 30%abs.?) would be the adsorbent component, Bark (60% abs. 40% ads.?) would be absorbent, and the grit would primarily provide volume, weight, and aeration (though some bonsai enthusiasts claim that its sharp corners induce branching in the fine roots, not sure of the validity of this).
For 5-1-1, the bark would take the roll of the adsorbent part, peat would be absorbent, and perlite would provide aeration.
BTW, the numbers above (70% ads. 30%abs.) are a guess, I don't know if it is true or not, it just seems that some things are more adsorbent and others are very adsorbent, and so on.

So, I would put forth that a modified gritty mix could be approximated with a combination of ingredients:
1 part turface
1 part charcoal
1 part lava rock
1 part bark
1 part perlite
1 part grit
the turface, charcoal, and lava rock would be adsorbent, the bark, lava rock, and charcoal would be absorbent, the grit and perlite would provide the extra aeration and volume.

I like this way of thinking about potting mixes, and find it very easy. I would love to hear any comment, correction, ideas, what ever.

P.S. this does not address drainage, to fix drainage problems, I quote Al "the PWT tends do disappear as uniform particle size approaches 0.11"", sorry I paraphrased, but I think I got pretty close.

Is there something you're trying to correct in the gritty mix? Do you think the CEC should be increased/decreased?

I don't see the need for six ingredients unless there is some useful improvement.