Shards

So I'll be using this page as a sandbox for my Cosmere works. First, I'll counting how many possible combinations of things you could derive from the sixteen Shards of Adonalsium.
=Forms of Shardic Investiture=
*God-Metal: Investiture in the form of solid matter
*Perpendicularity-Liquid: Investiture in the form of liquid matter
*Light: Investiture manifest as pure energy
*Tone: Frequency attuned to a Shard's Investiture
=Metallic-Arts=
Usable metals and what we know
*16 base-metals
**8 chemical-element metals: Iron, Tin, Zinc, Copper, Aluminum, Chromium, Gold, Cadmium
**8 alloys of those metals: Steel, Pewter, Brass, Bronze, Duralumin, Nicrosil, Electrum, Bendalloy
*16 God-Metals
**Lerasium: God-Metal of Preservation, Shard primarily connected to Allomancy
**Atium: God-Metal of Ruin, Shard secondarily connected to Allomancy
Known statements about the Metallic-Arts
*Each metal can be used for Allomancy, Feruchemy, and Hemalurgy
=Shardic synthesis=
Individual [16 total]
*1
*2
*3
*4
*5
*6
*7
*8
*9
*10
*11
*12
*13
*14
*15
*16
Duality (2 of 16) [120 total]
*1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9, 1/10, 1/11, 1/12, 1/13, 1/14, 1/15, 1/16
*2/3, 2/4, 2/5, 2/6, 2/7, 2/8, 2/9, 2/10, 2/11, 2/12, 2/13, 2/14, 2/15, 2/16
*3/4, 3/5, 3/6, 3/7, 3/8, 3/9, 3/10, 3/11, 3/12, 3/13, 3/14, 3/15, 3/16
*4/5, 4/6, 4/7, 4/8, 4/9, 4/10, 4/11, 4/12, 4/13, 4/14, 4/15, 4/16
*5/6, 5/7, 5/8, 5/9, 5/10, 5/11, 5/12, 5/13, 5/14, 5/15, 5/16
*6/7, 6/8, 6/9, 6/10, 6/11, 6/12, 6/13, 6/14, 6/15, 6/16
*7/8, 7/9, 7/10, 7/11, 7/12, 7/13, 7/14, 7/15, 7/16
*8/9, 8/10, 8/11, 8/12, 8/13, 8/14, 8/15, 8/16
*9/10, 9/11, 9/12, 9/13, 9/14, 9/15, 9/16
*10/11, 10/12, 10/13, 10/14, 10/15, 10/16
*11/12, 11/13, 11/14, 11/15, 11/16
*12/13, 12/14, 12/15, 12/16
*13/14, 13/15, 13/16
*14/15, 14/16
*15/16
 (3 of 16) [ total]
*
 (4 of 16) [ total]
*
 (5 of 16) [ total]
*
 (6 of 16) [ total]
*
 (7 of 16) [ total]
*
Reforming (8 of 16) [ total]
*
Advancing (9 of 16) [ total]
*
 (10 of 16) [ total]
*
 (11 of 16) [ total]
*
 (12 of 16) [ total]
*
 (13 of 16) [ total]
*
Super-conglomeration (14 of 16) [120 total]
*
Near-complete (15 of 16) [16 total]
*1-15
*2-16
*1+3-16
*1+2+4-16
*1-3+5-16
*1-4+6-16
*1-5+7-16
*1-6+8-16
*1-7+9-16
*1-8+10-16
*1-9+11-16
*1-10+12-16
*1-11+13-16
*1-12+14-16
*1-13+15+16
*1-14+16
Whole (all 16) [1 total]
*1-16