Toulousites (Version A: Cathars)

There is little record of Toulouse prior to 118 BCE when that area became Roman. That lasted until 418 CE, when Visigoths ruled Toulouse, followed by Merovingian Franks, then Carolinian Franks. All were Christian in some form, as was the Cathar religion, which dominated Toulouse for a while in the 13th century.

However, some of the Cathars' views were regarded as heretical by Catholic Rome, and were the subject of a dispute involving St. Dominic.

Ultimately Catharism was destroyed in the Albigensian crusade which began in July 1209. (A crusade is a military expedition under the banner of the cross.)

The Cathars chanted famously. As their castle walls were torn down by the "Catholic crusaders," they chanted hymns. After their defeat, condemned to death by fire, they chanted hymns as they threw themselves into the flames.

If "as the ancient Toulousites defined it" refers to these extraordinary acts of faith by the Cathars. The meaning of "wholly manifested intonation" is clear.

(There is little record of Toulouse prior to 118 BCE when that area became Roman. That lasted until 418 CE, when Visigoths ruled Toulouse, followed by Merovingian Franks, then Carolinian Franks. All were Christian in some form, as was the Cathar religion, which dominated Toulouse for a while in the 13th century.

Toulousites (Version B:  Troubadors)

Toulouse is the capital of Occitania, formerly of Languedoc, land of the Holy Grail it is believed that M. Magdalene with at least her unborn child (if not more), the mother of Jesus and Joseph of Arimathea (possibly Jesus as well, if he survived the crucifixion--as some insist?).

In the Middle Ages Troubadours with their "Minnesang" were cultivated at this royal court, which later spilled over to other courts in Europe.

Minnesang: to minne, the worship of a woman, usually of high rank; from middle-high German minne "loving remembrance," is the name given to the written, highly ritualized form of sung love poetry practiced by the Western European nobility from about the middle of the 12th to the middle of the 13th century.

Chrétien de Troyes 12 century, known for his writing on Arthurian subjects, and for first writing of Lancelot, Percival and the Holy Grail. Chrétien's works, including Erec and Enide, Lancelot, Perceval and Yvain, represent some of the best-regarded medieval literature. His use of structure, particularly in vain, has been seen a as a step towards the modern novel.

Johannes de Grocheio, a Parisian musical theorist of the early 14th century, believed that trouvère songs inspired kings and noblemen to do great things and to be great: "This kind of song is customarily composed by kings and nobles and sung in the presence of kings and princes of the land so that it may move their minds to boldness and fortitude, magnanimity and liberality..."

The source language for this is almost certainly Persian/Farsi, since that is the language The 1001 Nights the series of tales told by Scheherzada was written in. Cheshm ha in Persian means "the eyes."
It does not mean "veil."

Gurdjieff may be making some implication, regarding Scheherazade, that her eyes veiled her "after dinner" intentions.

An alternative possibility for Cheshma is the Turkish Çesme which means "fountain." This seems less likely, because it is less close in sound to Cheshma.

Korkolans possibly refers to the inhabitants of Koorkalai, the capital city of Tikliamish, which Gurdjieff introduces on Beelzebub’s second descent. If that’s the case, he has deliberately misspelled the word, omitting the second “o.”

The text of The Tales clearly depicts Tikliamish as an intellectual culture, and hence it is credible that the Korkolans formulated a “law of association.”

We have not yet been able to find an alternative to this.

The origin of the word “Tzimus” is not entirely clear. "Tsimes" (sometimes spelled tsimmes or tzimmes) is a Yiddish word for an Ashkenazi stewed dish made variously of carrots, prunes and sometimes meat. It is not salty, but sweet, and for that reason it is particularly associated with Rosh Hashanah (New Year). This is probably not the origin of Gurdjieff's “Tzimus.”

Most likely, Gurdjieff borrowed “Tzimus” from Russian. It is a Russian slang word, meaning "pith" or "essence," and is a word favored by Russian Jews.

Allan Kardec was the pen name of the French author Hippolyte Léon Denizard Rivail, the founder of Spiritism and the author of the five books on the subject known as The Spiritist Codification.

Gurdjieff deliberately misspells his first name—instead writing Alan. It is not clear why. Allan means "harmony, stone, or noble" and also "fair and handsome." It was originally a saint's name.

In this context, Dukhan means a café or small restaurant. The word Dukhan generally means "shop" in Farsi and Arabic.

There are several dishes from the Middle East and India that go by the name of Hachi (or Khachi). They include meat dishes soups and even Iranian desserts. In this instance, given the addition of garlic it most likely refers to a meat dish.

The word "hach" in Armenian means "satisfied, content." The Russian word "Hachi" is a derogatory  term for Caucasians (Georgians, Armenians, etc.)

Karnak

kar stone Armenian
nak transport in Turkish
kark, gark vehicle, carrier Armenian
ak jewel, eye Armenian

Possibly means "the carrier of the jewel."

"Karnak is an Armenian word, and is connected with the Greek idea of the body being the tomb of the soul."  Orage quoted by Nott in Teachings of Gurdjieff, p128. Tomb of the soul or the vehicle of the soul?

Karnak is also the name of the largest ancient temple in Egypt and Carnac is the name of the largest collection of standing stones in Europe (in france)

Assooparatsata. This word is built directly from Armenian:

assoop means "stars"
arat means "a lot of"
sata means 'this gives."

So, "this gives a lot of stars."

Karatas (Beelzebub's planet of origin.)

Kara = Turkish, black
tas =  Turkish, stone

So, possibly black stone (but seems unlikely).

Possibly also... from Latin caritas, "costliness; esteem, affection," from carus "dear, valued." The problem is with the 'i' instead of 'a.'

Curiously, Karatas (see above photo) is a city on the Mediterranean Sea, 47 km from Adana. Historically it is a district of Izimir with an elevator built in 1907. The elevator looks like a rocket launching tower. On the touristic site of Izmir, Karatas is called the "center of tolerance".

The elevator, which is connected by a 155-step staircase, is a street elevator realized with the aim of facilitating transportation between the two axes by connecting the upper and lower parts of the district, Mithatpaşa Street and Şehit Nihat Bey Street. The Jewish community preferred to expand vertically rather than horizontally.

Pandetznokh:

pan as a prefix this means "all" in Greek. It also means "guardian or keeper" in eastern Armenian. 
detz is uncertain, although det means "observer, sentry or guardian" in eastern Armenian.
nokh means the one who in Armenian

So, possibly, the guardian or observer.

Revozvradendr is a planet which orbits the Pole Star (the guardian of the Earth) where a conference is to be held to which Beelzebub has been invited.

Revozvradendr:

Re English prefix meaning "again"
vozvrat (Russian) means "return, recurrence, reclamation"
dendr from the Greek dendro for "tree," (it may simply indicate something solid, but more likely it indicates a tree—possibly a tribal or family tree).

Revozvradendr may imply Beelzebub's return to confer about his time observing the planet Earth, and humanity. The planet may be a place where Beelzebub can confer with those who oversee the Earth.

Anode: from Greek anodos “way upward,” from ano “upward,” from ana “up” +hodos “a way” 

-natious means "born of" from Latin nativus "born, native" + atious: given to, inclined to, abounding in.

Veziniama is the mountain that Ashiata Shiemash climbs in order to meditate on how to proceed in teaching humanity. Vezin in Latin means "neighbor, like, similar, kindred" so Veziniama could be read as "I am a neighbor" (in the Work sense) or "similar to I 'am.' "

Sinai (the mountain Moses ascended)  sounds vaguely close to 'zinia.' Google translate gives "veziniama" as Lithuanian for "being transported."