Hi all. I have compiled a list of the frequency of all special bases for the kings currently in-game as of this date, July 4th 2018 (with some changes expected, due to the increase in event base apps throughout July). I may update this here and there when I get time. If there are any errors, let me know!

Take note: I don't believe this list is a reliable way for pricing bases or necessarily gaining info on their overall rarity/popularity, as some of the harder-to-breed bases are still popular and there are many other factors at play, such as the release date of the base. I mostly wanted to satisfy my own curiosity about the frequency of the most/least common bases, and thought that it may be helpful for others members' breeding projects, etc.

To avoid applicator bases skewing the list, I have separated them into the categories: Breed-only Special bases, Combo Special bases, and Applicator Special bases. It's clear that applicator bases are much greater in frequency by comparison (with the notable exception of Sunset, the most common breed-only base). I excluded all NCL special bases, applicable custom bases and the Green April Fool's base.

Each category will list the base colour, and the number of kings currently in the game with said base.

Breed-only Special Bases
Haze - 2
Orchid - 5
Dinar - 6
Suphur - 6
Buff - 9
Udara - 10
Buttercream - 11
Champagne - 11
Amber - 13
Goldenrod - 13
Umber - 14
Cameo - 19
Pearl - 19
Sapela - 19
Fulvous - 20
Sepia - 25
Shedua - 28
Nacarat - 29
Teardrop - 39
Chartreux - 42
Ashen - 49
Sidereal - 51
Anjeer - 53
Cocoa - 73
Lilac - 78
Skyward - 78
Kimanjano - 79
Cinnabar - 93
Maroon - 110
Slate - 159
Prune - 173
Celestial - 191
Fiery - 191
Ebony - 205
Sunset - 413

There are currently 0 kings with Sunrise base.

Combo Special Bases
Gilded - 1
Hellebore - 2
Qahir - 2
Olive - 3
Soul - 4
Asiatic - 5
Black Rose - 7
Citrine - 7
Cloudburst - 12
Cairngorm - 13
Madagascar - 22

There are currently 0 kings with Arabica, Nadir and Pulsar base.

Applicator Special Bases
Labradorite - 4
Interstellar - 11
Trophy - 20
Fuchsia - 71
Manakbir - 105
Moonstone - 122
Blush Rose - 123
Fossil - 136
Ivory - 170
Opal - 174
Nuumite - 181
Ardor - 183
Hematite - 185
Glacial - 190
Arctic - 194
Rhodonite - 199
Hallowed - 254
Chatoyant - 257
Nacre - 266
Blazing - 266
Ethereal - 267
Supernal - 282
Seth - 337
Inferno - 351
Anubis - 391
Cherry Blossom - 471
Ice - 514
Bloodbourne - 522
Penumbra - 524
Bast - 528
Unholy - 533

There are currently 0 kings with Divine base.

Feel free to post with any comments or if you found anything of interest in this list! :)