ORDO AB CHAO is Latin for "Order Out of Chaos or Order from Disorder." This term was invented by Freemasons and is the actual motto of the 33rd Degree of Scottish Rite Freemasonry.
The name Scottish or Scotland is derived from the Latin, from Greek skotia, from feminine of skotios, dark, shadowy (from the shadow it casts), from skotos, darkness. In ancient Egypt there was a temple of Venus Scotia and it is said that the country of Scotland had derived its name from an Egyptian Pharaoh Queen named Scota.
The chaos (CHAO) is the society we see around us today and it is the builders who influence the leaders to manufacture this chaos so that they can conceal their creations in darkness while they work towards the light (ORDO). Without chaos there would never be order. Without darkness, there can be no light and without light there can be no darkness. What is the AS ABOVE, is the SO BELOW of this Secret Brotherhood.
The Grand Architects of CHAO (hell or illusion) become the masters of ORDO (Heaven on earth). The torch bearers who carry the light in the dark will now be the light bearers who usher in the new dawn of a new day.
FIAT LUX (Let there be light). What was once dark, now becomes light and what was once light now becomes dark.
Here is a generic description of ORDO AB CHAO in, "An encyclopædia of freemasonry and its kindred sciences ..., Volume 2 by 33rd Degree Freemason Albert Gallatin Mackey, and William James Hughan;
Ordo ab Chao or Order out of Chaos. - A motto of the Thirty-third Degree, and having the same allusion as lux e tenebris, which see. The invention of this motto is to be attributed to the Supreme Council of the Ancient and Accepted Scottish Rite at Charleston, and it is first met with in the Patent of Count de Grasse, dated February 1, 1802. When De Grasse afterward carried the Rite over to France and established a Supreme Council there, he changed the motto, and, according to Lenning, Ordo ab hoc was used by him and his Council in all the documents issued by them. If so, it was simply a blunder.