This order originated in 1881 by combining two 'Egyptian' Rites, those of Mepmphis and of Misraim. Giuseppi Garibaldi became the first Grandmaster of this united rite. Before that he was already the Grandmaster of the Italian order of freemasons.
The origins of the Misraim-rite were in the late 1700s, the Memphis rite was founded in 1815 by freemasons who had joined the Napoleontic battle campaigns in Egypt and learned there of ancient Egyptian initiation rites.
Nowadays this rite has a couple of thousand members, mostly in Europe. There are lodges in France, Belgium (140 members), Switzerland, United Kingdom, Italy, Canada, United States, Brazil, Argentina, Bolivia, Haiti, Australia and several African countries, including Madagascar. 
The order has 99 degrees and is therefore the largest masonic order in number of degrees. Not all degrees are worked in.
The first 33 degrees are similar to those of the Scottish Rite.

The degrees of the Memphis-Misraim Rite ( as of 1980 )

Lodge
1º. Apprentice
2º. Companion
3º. Master
College
4º. Secret Master
5º. Perfect Master
6º. Intimate Secretary
7º. Provost and Judge
8º. Intendant of the Buildings
9º. Master Elect of Nine
10º. Illustrious Elect of Fifteen
11º. Sublime Prince Elect
12º. Grand Master Architect
13º. Royal Arch
14º. Grand Elect Perfect and Sublime Master
Chapter
15º. Knight of the East or the Sword
16º. Prince of Jerusalem
17º. Knight of the East and the West
18º. Knight of the Rose Cross
Senate
19º. Grand Pontiff
20º. Knight of the Temple
21º. Patriarch Noachite
22º. Knight of the Royal Axe
23º. Chief of the Tabernacle
24º. Prince of the  Tabernacle
25º. Knight of the Brazen Serpent
26º. Prince of Mercy
27º. Commander of the Temple
28º. Knight of the Sun, or Prince Adept
29º. Knight of St. Andrew
Areopage and Tribunal
30º. Grand Elected Knight of Kadosh
31º. Grand Inspector Inquisitor Commander
32º. Sublime Prince of the  Royal Secret
33º. Sovereign Grand Inspector General
Consistory
34º. Knight of Scandinavia
35º. Knight of the Temple
36º. Sublime Negociant
37º. Knight of Shota (Sage of Truth)
38º. Sublime Elect of Truth (The Red Eagle)
39º. Grand Elect of the Aeons
40º. Sage Savaiste (Perfect Sage)
41º. Knight of the Arch of Seven Colours
42º. Prince of Light
43º. Sublime Hermetic Sage (Hermetic Philosopher)
44º. Prince of the Zodiac
45º. Sublime Sage of the Mysteries
46º. Sublime Pastor of the Huts
47º. Knight of the Seven Stars
48º. Sublime Guardian of the Sacred Mount
49º. Sublime Sage of the Pyramids
50º. Sublime Philosopher of Samothrace
51º. Sublime Titan of the Caucasus
52º. Sage of the  Labyrinth
53º. Knight or Sage of the Phoenix
54º. Sublime Scalde
55º. Sublime Orphic Doctor
56º. Pontiff, of Sage of Cadmia
57º. Sublime Magus
58º. Sage, or Prince Brahmine
59º. Sublime Sage, or Grand Pontiff of Ogygia
60º. Sublime Guardian of the Three Fires
61º. Sublime Unknown Philosopher
62º. Sublime Sage of Eulisis
63º. Sublime Kawi
64º. Sage of Mythras
65º. Guardian of Sanctuary - Grand Installator
66º. Grand Architect of the Mysterious City - Grand Consecrator
67º. Guardian of the Incommunicable Name - Grand Eulogist
68º. Patriarch of Truth
69º. Knight or Sage of the Golden Branch of Eleusis
70º. Prince of Light, or Patriarch of the Planispheres
71º. Patriarch of the Sacred Vedas
72º. Sublime Master of Wisdom
73º. Patriarch, or Doctor of the Sacred Fire
74º. Sublime Master of the Stoka
75º. Knight Commandel of the Lybic Chain
Sublime Council
76º. Interpreter of Hieroglyphics, of Patriarch of Isis
77º. Sublime Knight or Sage Theosopher
78º. Grand Pontiff of the Thebiad
79º. Knight, or Sage of the Redoubtable Sada
80º. Sublime Elect of the Sanctuary of Mazias
81º. Intendent Regulator, or Patriarch of Memphis
82º. Grand Elect of the Temple of Midgard
83º. Sublime Elect of the Valley of Oddy
84º. Patriarch or Doctor of the Izeds
85º. Sublime Sage, or Knight of Kneph
86º. Sublime Philosopher of the Valley of Kab
87º. Sublime Prince of Masonry
88º. Grand Elect of the Sacred Curtain
89º. Patriarch of the Mystic City
90º. Sublime Master of the Great Work
Grand Tribunal
91º. Grand Defender
92º. Grand Catechist
93º. Regulator General
94º. Prince of Memphis, or Grand Administrator
95º.Grand Conservator
96º. Grand and Puissant Sovereign of the Order
97º. Deputy International Grand Master
98º. International Grand Master
99º. Grand Hierophant

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