So if I define scale of mind as sM, and integration algorithm by iA and !Q as the invariant qualia landscape. relation will look something like
sM = !QiA or sM/iA =!Q
sM , will vary with dimension (orthogonal sensory inputs) as it does in living minds. Some biological minds integrate sensory dimensions humans can't experience...for example the dimension of electrostatic or magnetic field sensation that platypus and birds have respectively in addition to ones we can. This will modulate the perception of integrated information of the eventual "mind" that emerges.
iA, will vary how the sensed information is integrated into the substrate that integrates,processes and stores the sampled sense data. It can be done using fully analog means or fully digital ones or hybrid means, as long as the input sample space can match the input sensory resolution of the devices used to capture events outside of the mind, then I posit there will be no difference at the integrating device which in biological brains are the synaptic connections of different types of neurons.
!Q, is the fixed Qualia space for a given selection of sM and iA. I imagine if plotted there will be an interesting symmetry to the variations in sM and iA that emerge a fixed !Q. It's not a constant in the h-bar sense but rather is held as a constant to see how the same space emerges with variation of sM and iA.
In biology iA varies little (as far as we can see all animal brains use the same iA) but our attempts at creating digital cognition employs iA variation that is digital in how synaptic simulation is achieved.
In biology and in artificial sensation sM varies greatly, from 6 (including balance as separate from hearing) known sensation landscapes in humans to 7 or more in some birds to all the different types of sensation on your smart phone. From GPS to orientation to sound to balance to bluetooth to UFC to touch to vision.
This is just a hypothesis based on how it seems these attributes are related in real brains and how our methods at simulating artificial minds are proceeding, I've not performed any effort at proof as of yet....might get to it a bit later as I start attacking the problem of creating a dynamic cognitive agent directly in a few years.
In the past I had not believed in the existence of a qualia space of experience but my recent work on implicit Workflow and Action Delta Assessment algorithm in Action Oriented Workflow has convinced me to see that earlier position as being wrong. Not only do I assert that qualia exists but a given qualia landscape is a fulcrum about which variations in sensory type and integration algorithm are modulated. All only hypothesis ...yet to find rigorous proof.