1) Syllable construction rules.
2) Letters selected.
3) Vocabulary.
4) Examples.
1) My syllable construction rules are presently limited to (C for consonant, V for vowel) CV,VC,V,CVC. The number of syllables for V, CV, VC, CVC is 1+9+9+81=100.
2) Letters selected: use standard English letters. For the benefit of English speakers raised on a certain chronological order in the alphabet, the consonant order is B,D,Ch,L,R,Th,V,W. These consonants are sometimes referred to a C1to8, representing the #s 2to9. The sounds for Ch and Th can be written with C and T, if one remembers the sound associated with them.
3) Vocabulary.
i) V: Shall we say A? A is used to double the number of available meanings derived from the other syllables. As much as possible, opposing or derived concepts are linked to each other via the same root syllable. A double negation of V V is equals.
ii) CV:. The #s 2-9 are expressed via C1to9+A. I.e. 2 ba, 3 da, 4, cha(or ca), 5 la, 6 ra, 7 tha(or ta), 8 va, and 9 wa.
iii) V-CV (the negated form of CV). These represent quasi-letters to allow complex math using imagnitary numbers. In traditional math, an example would be 2a+3b=c.
For example, the idea of 5b would be RA AL A-AD, or "five multiply not#2 (so letter2).
iv) VC: AB is zero, A-AB is infinity. AD is one, A-AD is ten. ACh is plus, A-ACh is minus. AL is multiply, A-AL is divide. AR is decimal, A-AR is fraction. Note: AR can indicate an irrational number also by including it after a decimal. ATh is inside angle and A-ATh is outside angle (for geometry). AV is square and A-AV is root. AW is parallel and A-AW is congruent..
v) CVC. Think of this as the #s CV plus C to clarify the numerical quality involved..
CVC1 or CVb can be the # of dimensions to a geometrical shape.
CVC2 or CVd expresses the number of facings (in 3D) or edge lines (in 2D). Note that which is expressed is clear from the preceding dimensional information.
CVC3 or CVch indicates the number of outside surface shapes.
CVC4 or CVl (that's L) can optionally express the surface facing increase in numbers by virtue of a frequency. For example, a 2-frequency dome surface shapes contains a multiple of a 1-frequency dome. This is a variant way to express the # of facings on a 3D shape. It should also work by 4D+ hypersolids.
CVC5 or CVw can express number of edges,.
CVC6 or CVth can refer to vertex.
CVC7 or CVv refers to axis of symmetry.
CVC8 or CVw can refer to metric prefixes.
4) Examples.
i) 2+2=4. ba ach (or ac) ba a a cha. (or ca)
ii) 7-6=2. tha a ach (or ac) ra a a ba.
iii) Cube. A.K.A. Hexahedron. dab rad (more details optional).
iv) 45. cha a ad la (that's LA).
v) 391. da a ad a ad wa a ad ad.
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I realize that the meaning slots seem very constrained. I have 2 observations to make. First, I have not bothered to use all the consonants or any more of the vowels, let alone consonant clusters with their binary/trinary potential. Second, I can easily express 'dimension' as a concept via reserving CVC1. This in turn frees up all the V-CVC2to8 slots for additional meanings. Having said that, I think that expressing numerical qualities via a consonant added to the numbers themselves is elegant and transparent. Obviously I am still struggling to balance certain design principles. I fear I have mixed basic and intermediate math concepts. I'd like to revise my lexicon to only deal with primary school math. I just wanted to show how concise a letter-based math notation could be, and hint that it could also aid learning math more rapidly. Reserving CcV, VcC, CcVcV for advanced concepts would allow more time for improved lip-reading.. My choice of letters and sounds associated with particular visemes should likely be modified to reflect ease of consonant cluster construction.
My next project will be to encapsulate A++ computer programming language with a rich lexicon for logic. Of course, it too uses 13 letters.
[Aside: I could link number types such as natural/whole/integer to concepts such as 1(as in 1,2,3)/0(as in 0,1,2), minus (-1,0,1) et al. This would involve decoupling opposing pairs such as +/-, *// etc. Later in the CVC section, you will also understand my hesitation to assign the concepts of square/root here. It means an additional expression to indicate square v.s. cube et al, making for a more wordy vocabulary. I may very well be better off delaying until a more advanced level of math to introduce these concepts. The addition of spare consonants will allow the chart derived from numbers to be expanded. The introduction of consonant clusters is best used to introduce binary/trinary concepts. This can be done at both the first and last CVC consonant.]
In math, a cube is a hexahedron. That tranlates to six / 3D solid. Note that prior to the latter part, the meaning of hexa- is not clear. Hopefully, my geometry naming system will be more useful. Note:
V-CVC: This denotes that the quality of the last consonant is considered without regard for the number contained in the preceding CV. This is necessary to address numbers other than 2-9.
CVC: CVC1 or CVb indicates the number of dimensions for geometric shapes. Instead of hexahedron, effectively the -hedron is listed first. This immediately tells you if you are dealing with 0D(point), 1D(line), 2D(shape), 3D(solid), n- or hypersolid. Note the endless grief that has ensued from different naming conventions by geometers which name by internal properties, and topographers which name by external properties of geometric shapes/solids. This suggests that the ideo of in/our and volume/surface should be expanded. Furthermore, there is a third way to abstractly express composition. My system could be expanded to easily include all 3.
For more detailed information, see:
http://www.gamasutra.com/features/20000406/lander_01.htm
http://www.digitalcuriosity.com/VocaliseTTS/Phonemes.htm
http://www.garycmartin.com/phoneme_examples.html
http://images.rbs.org/content_strands/two_and_three_d.shtml
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