Does the website say that Le Droit Humain in Chile was founded in 1929 by Jinarajadasa?
The Honorable Order of Universal Co-Masonry (before April 2017 “The Honorable Order of American Co-Masonry”), mixed order. A 1994 split-off of Le Droit Humain and at the time called “The American Federation of Human Rights”.
After a century of ups and downs for the American Federation of Le Droit Humain, in 1994 a split became unavoidable. The largest part of the American Federation left Le Droit Humain and now remains as the largest mixed gender order in the USA. Karen Kidd wrote in On Holy Ground that at the time of the split, the American Federation of Human Rights had 18 lodges, 8 stayed in the Honorable Order, 6 split off as a new American Federation of Le Droit Humain and “the membership of four Lodges split between the two orders.” Nowadays the Honorable Order has 29 lodges in four countries: USA, Brazil, Chile, Argentina, Philippines, Costa Rica and Croatia. Lodges in Canada and Paraguay are in development.
The Masonic Philosophical Society is the study branch of this order. If you want to know where the lodges are located, contact the order.
Gran Logia Mixta de Chile founded in 1929, 46 lodges.
Rite of Memphis-Misraïm is a combination of the Rite of Misraïm that was founded by Cagliostro in 1738 and the Rite of Memphis that was founded by Jacques Etienne Marconis de Nègre in 1838. In 1889 General Garibaldi combined the two the Rite of Memphis-Misraïm.
Nowadays there is an international organisation working in Argentina, Brazil, Chile, Spain, France, Martinique, Mauritius, New Caledonia, Scandinavia, Switzerland, Uruguay, USA, England, Venezuela.
There are other organsations with similar names.
The website does not say that members have to be master Masons in another lodge, so it does not appear to be a system of side/higher degrees. On the other hand, the website does not say anything about the “blue” grades of Entered Apprentice, Fellowcraft and Master Mason, so I am not 100% sure.
What the website also does not state specifically, is that Memphis-Misraïm lodges are mixed. It does say however under “conditions for admission” that: “You must have been questioned by several Brothers or sisters” (my emphasis). Cagliostro wanted to admit women, so it sounds like this tradition is still followed.
Gran Logia Femenina de Chile, according to their logo founded in 1983. The Grand Lodge has 13 lodges in Chile, 2 in Cuba, 1 in Panama and one in Peru.