How to Counting Speaking Sound? The Unit of Sound [I]

Since the sound is important, we have to find out a unit for counting it. The reason or target of language development is in fact looking for more species of sounds. For with more species of sound, a language can have more self-explaining words (compound word) to save the time of learning.  With more species of sound, a language allowed faster thinking speed for its speaker. If you always live in a language of alphabetic system, you will have no chance to feel the feeling of how suddenly the sounds number increased. To count the number of species of sound, we have to know the counting unit first.

Recently, a friend give me some example of how to decide the unit of sound:

Seattle 
[siætl] = 5 phones, 5 mora 
/s-i-æ-t-l/ = 5 phonemes 
/si-ætl/ = 2 syllables 

bean 
[biːn] = 3 phones, 4 mora 
/b-iː-n/ = 3 phonemes 
/biːn/ = 1 syllable 

thought 
[θoːt] = 3 phones, 4 mora 
/θ-oː-t/ = 3 phonemes 
/θoːt/ = 1 syllable 

bare 
[beəɹ] = 4 phones, 4 mora 
/b-eə-ɹ/ = 3 phonemes 
/beəɹ/ = 1 syllable 

house 
[haus] = 4 phones, 4 mora 
/h-au-s/ = 3 phonemes 
/haus/ = 1 syllable 

sky 
[skai] = 4 phones, 4 mora 
/s-k-ai/ = 3 phonemes 
/skai/ = 1 syllable 

sow 
[sou] = 3 phones, 3 mora 
/s-ou/ = 2 phonemes 
/sou/ = 1 syllable 

toy 
[toi] = 3 phones, 3 mora 
/t-oi/ = 2 phonemes 
/toi/ = 1 syllable

I have to say, these examples expressed the four units of sound clearly. But this confirmed me my former understanding of the phonology that it is a study depend on writing symbol not on physical voice. So I ask him: ‘how long a time you think the word ‘cat’ would be lasted.’  The answer is ‘thee unit’. That is acceptable answer for English speaker, because anyway the word ‘cat’ is formed by three letters. But some study show, the word ‘cat’ is two units. It is [ca] and [t], because no one can separate the [c] from [a] in this word. They have to be pronounced together. The idea of three units is depend on writing symbols, and it depend on our linear writing system if the writing system can put the c on top and a on bottom then they may look like one unit, they would say it is two units. This is very important, for without right unit, all the counting of sound would be wrong. And without right calculation, no one can get a right image of language.