Capa opening setups

(Disclaimer: All of this material I have previously posted in a thread at chessvariants.org, but I am reposting it here so it's available in a more convenient form)

One popular branch of chess variants is Capablanca Chess. Originally proposed in the 1600s by Carrera, and proposed again in the 1800s by Bird, and propsed yet again in the 20th century by Capablanca, this is one of the more popular types of chess variants that people have proposed versions of.

There are some 126,000 possible Capablanca opening setups, where the bishops are on opposite colors, and where the queen is to the left of the queen. However, looking at all of the Capablanca opening setups which have actually been proposed, I have observed that:

• All of the opening setups have the king and a powerful (R+N,B+N, or Queen) piece in the center files
• All of the proposed opening setups are symmetrical with the rooks, knights, and bishops
• All of the proposed opening setups have the rooks either in the corners, or one file closer to the center than the corners.

As it turns out, there are only 72 possible Capablanca opening setups that follow all of the above rules. Of these 72 opening setups, I find that only 15 have been formally proposed as starting setups:

Here is a list of proposed Capa chess setups I know about:

RANBQKBNMR      Aberg
RMNBQKBNAR      Carrera
RNBMQKABNR      Bird
RNBAQKMBNR      Capa 1 (1.Mh3 mating threat)
RNABQKBMNR      Capa 2
RBQNKMNABR      Grotesque
RBNMQKANBR      Univers
RBQNKANMBR      Landorean
RNBQKMABNR      Embassy
RQNBAKBNMR      Schoolbook
NRMBQKBARN      Optimized  
RNBQCKABNR      Gothic
MRNBQKBNRA      Paulowich 1 link
ARNBQKBNRM      Paulowich 2 link
QRNBKABNRM      Paulowich
RNMBQKBANR      Nalls link
RNBQAKMBNR      Teutonic link (1. Mh3 mating threat)

Any without a link here are listed on on the Capablanca Chess Wiki page.

And some more proposed opening setups, since not nearly enough Capa opening setups have been proposed :)

RNBQKAMBNR      Consulate
RNQBKMBANR      Finesse
RQNBKABNMR      Notebook
QRNBAKBNRM      Closebook
RNQBMKBANR      Blackbook
NRABQKBMRN      Nightwink
RQNBKMBNAR      Narcotic

Setups which suffer from white being able to threaten mate on the first move:

RQNBMKBNAR Md3
QRNBMKBNRA Md3
RBNQKMANBR Mg3
BRNQKMANRB Mg3
QRNBKMBNRA Mg3
BRNAQKMNRB Mh3 (Capa 1)
RNBQAKMBNR Mh3 (Teutonic)
BRNQAKMNRB Mh3
RABNQKNBMR Mh3
RQBNAKNBMR Mh3

So, for aspiring Chess variant inventors, that leaves us with the following possible Capa opening setups:

QRBNAKNBRM RQBNMKNBAR NRBQAKMBRN RBNQAKMNBR NRBMQKABRN BRNMQKANRB RBNMQKANBR QRBNMKNBRA NRBQKMABRN RMBNQKNBAR ARBNQKNBRM RQBNKMNBAR BRQNMKNARB RBQNMKNABR NRQBMKBARN NRQBKABMRN RNQBKABMNR NRBAQKMBRN BRQNKANMRB BRANQKNMRB RBANQKNMBR BRNAQKMNRB RBNAQKMNBR MRBNQKNBRA QRBNKMNBRA RQBNKANBMR BRMNQKNARB RBMNQKNABR QRBNKANBRM NRBQKAMBRN NRQBAKBMRN BRNQKAMNRB RBNQKAMNBR RNQBAKBMNR BRQNAKNMRB RBQNAKNMBR NRBQMKABRN NRQBKMBARN BRQNKMNARB BRNQMKANRB RBNQMKANBR