Dozenal and Other bases

Believe it or not, we use multiple bases, but we ultimately have a primary one: decimal.

If this primary base was to dozenal, here is how it should affect other bases.

Base Names:

We name almost every base, yet these names are decimal based.

We have to have a primary base to name other bases, or else nobody will know what we are talking about.

So, If we were switch to dozenal, we would have to change our base names.

Systematic dozenal nomenclature DOES have a system for naming bases, but I personally think we should use a more traditional scheme.

Here are bases 2 to 38 in decimal and dozenal based names:
 

Base (decimal)	Decimal Name	Dozenal name
2	Binary	Binary
3	Ternary	Ternary
4	Quaternary	Quaternary
5	Quinary	Quinary
6	Senary	Senary
7	Septenary	Septenary
8	Octal	Octal
9	Nonary	Nonary
10	Decimal	Decimal
11	Undecimal	Levinary
12	Duodecimal	Dozenal
13	Tredecimal	Undozenal
14	Tetradecimal	Duodozenal
15	Pentadecimal	Tredozenal
16	Hexadecimal	Tetradozenal
17	Septadecimal	Pentadozenal
18	Octadecimal	Hexadozenal
19	Nonadecimal	Septadozenal
20	Vigesimal	Octadozenal
21	Unvigesimal	Nonadozenal
22	Duovigesimal	Decadozenal
23	Trevigesimal	Levadozenal
24	Tetravigesimal	Bizenal
25	Pentavigesimal	Unbizenal
26	Hexavigesimal	Duobizenal
27	Septavigesimal	Trebizenal
28	Octavigesimal	Tetrabizenal
29	Nonavigesimal	Pentabizenal
30	Trigesimal	Hexabizenal
31	Untrigesimal	Septabizenal
32	Duotrigesimal	Octabizenal
33	Tretrigesimal	Nonabizenal
34	Tetratrigesimal	Decabizenal
35	Pentatrigesimal	Levabizenal
36	Hexatrigesimal	Trizenal
37	Septatrigesimal	Untrizenal
38	Octatrigesimal	Duotrizenal

Base Symbols

Instead of 0123456789 and then ABCDEF..., the first 12 dozenal symbols should be used, and then letters start, so 123456789XE, then abcd... (If X and E are used for 10 and 11, all letters are lowecase, if the fancy symbols are used, it does not matter. This way, E (11) and e (16) are distinguishable).