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types of synesthesia
It is important to note that synesthesia is not one singular condition.  The word synesthesia is used to describe a number of different conditions (involving different or separate areas of the brain), ranging from smelling sounds, in which two basic senses come into play, to something as abstract as perceiving sexes with graphemes.  Synesthesia of any kind involves a consciously perceived external stimulus which immediately and involuntarily causes a feedback loop in the brain, which in turn creates a secondary (or tertiary, etc.) perception of the stimulus, whether the secondary perception be formerly associated or whether it be arbitrary-but-situational.
As mentioned, synesthesia comes in a many varieties.  When a person thinks of mixed senses, what generally comes to mind is the mixing of sight and sound, taste and touch, or maybe smell and sound.  If only the five senses — sight, smell, sound, taste, and touch — were considered to be "mixable" synesthetically, there would theoretically be 20 different forms of synesthesia, as follows:

n = 25
sight sightsight smellsight soundsight tastesight touch
smell sightsmell smellsmell soundsmell tastesmell touch
sound sightsound smellsound soundsound tastesound touch
taste sighttaste smelltaste soundtaste tastetaste touch
touch sighttouch smelltouch soundtouch tastetouch touch

Interestingly, while the forementioned forms of synesthesia do occur, there are other types that are possible.  Firstly, there are subsets of the above senses:
- subsets of sight:  color, movement, shape   (subsets of shape:  graph*, grapheme*, written word*, person*)
- subset of sound:  phoneme
- subsets of touch:  pain, temperature, weight/pressure
Secondly, there are two other types of perceptions that I believe can trigger and be triggered by synesthesia:  emotion and span/unit of time*.  There are three possible subsets of emotion:
- subsets of emotion:  age*, personality*, sex*

Emotion and span/unit of time bring the total of possible main types of synesthesiae up to 49.  Finally, there may be one more type of synesthesia (more info to come later), but that type would only be a one-way street; it would bring the total up to 56.

* Synesthesia elicited from time, graph, grapheme, written word, personality, or thought/memory is known as conceptual synesthesia.

n = 49
sight sightsight smellsight soundsight tastesight touchsight emotionsight time
smell sightsmell smellsmell soundsmell tastesmell touchsmell emotionsmell time
sound sightsound smellsound soundsound tastesound touchsound emotionsound time
taste sighttaste smelltaste soundtaste tastetaste touchtaste emotiontaste time
touch sighttouch smelltouch soundtouch tastetouch touchtouch emotiontouch time
emotion sightemotion smellemotion soundemotion tasteemotion touchemotion emotionemotion time
time sighttime smelltime soundtime tastetime touchtime emotiontime time

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