## Saturday, July 18, 2015

### ALTERNATE TYPOLOGIES FOR THE FIRST 21 DIMENSIONS

Typology A of each dimension: Standard typology, d = number of dimensions.
Typology B of each dimension: 1/2 d = pairs of ideal polar opposites.
Typology C of each dimension: Exceptions and free variables with depth of 1 (assumes coherency).
Typology D of each dimension: School of variations, value for degree of variety = d.

1a. 1 typological dimensions.
1b. 1/2 pair of opposites.
1c. 1.5 exceptions
1d. School of variations: 1.

2a. 2 typological dimensions.
2b. 1 pair of opposites.
2c. 3 exceptions.
2d. School of variations: 2.

3a. 3 typological dimensions.
3b. 1.5 pairs of opposites.
3c. 5 exceptions, 1 free variable.
3d. School of variations: 3.

4a. 4 typological dimensions.
4b. 2 pairs of opposites.
4c. 7 exceptions, 3 free variables.
4d. School of variations: 4.

5a. 5 typological dimensions.
5b. 2.5 pairs of opposites.
5c. 9 exceptions, 5 free variables.
5d. School of variations: 5.

6a. 6 typological dimensions.
6b. 3 pairs of opposites.
6c. 11 exceptions, 7 free variables.
6d. School of variations: 6.

7a. 7 typological dimensions.
7b. 3.5 pairs of opposites.
7c. 13 exceptions, 9 free variables.
7d. School of variations: 7.

8a. 8 typological dimensions.
8b. 4 pairs of opposites.
8c. 15 exceptions, 11 free variables.
8d. School of variations: 8.

9a. 9 typological dimensions.
9b. 4.5 pairs of opposites.
9c. 17 exceptions, 13 free variables.
9d. School of variations: 9.

10a. 10 typological dimensions.
10b. 5 pairs of opposites.
10c. 19 exceptions, 15 free variables.
10d. School of variations: 10.

11a. 11 typological dimensions.
11b. 5.5 pairs of opposites.
11c. 21 exceptions, 17 free variables.
11d. School of variations: 11.

12a. 12 typological dimensions.
12b. 6 pairs of opposites.
12c. 23 exceptions, 19 free variables.
12d. School of variations: 12.

13a. 13 typological dimensions.
13b. 6.5 pairs of opposites.
13c. 25 exceptions, 21 free variables.
13d. School of variations: 13.

14a. 14 typological dimensions.
14b. 7 pairs of opposites.
14c. 27 exceptions, 23 free variables.
14d. 14 variations.

15a. 15 typological dimensions.
15b. 7.5 pairs of opposites.
15c. 29 exceptions, 25 free variables.
15d. School of variations: 15.

16a. 16 typological dimensions.
16b. 8 pairs of opposites.
16c. 31 exceptions, 27 free variables.
16d. School of variations: 16.

17a. 17 typological dimensions.
17b. 8.5 pairs of opposites.
17c. 33 exceptions, 29 free variables.
17d. School of variations: 17.

18a. 18 typological dimensions.
18b. 9 pairs of opposites.
18c. 35 exceptions, 31 free variables.
18d. School of variations: 18.

19a. 19 typological dimensions.
19b. 9.5 pairs of opposites.
19c. 37 exceptions, 33 free variables.
19d. School of variations: 19.

20a. 20 typological dimensions.
20b. 10 pairs of opposites.
20c. 39 exceptions, 35 free variables.
20d. School of variations: 20.

21a. 21 typological dimensions.
21b. 10.5 pairs of opposites.
21c. 41 exceptions, 37 free variables.
21d. School of variations: 21.