So you want details
Amédée VI, like all the great princes of the middle ages, wanted his crusade, and he got it. It was not, like in the previous century, to fight the Sarracens or the Arabs, but the Turks, whose power was growing in a way dangerous for the Christian west. The Byzantine empire, struck by repeated blows, had been reduced gradually to Constantinople and the surrounding area. It was necessary to come to its help, but it wasn't easy due to the distance. And the religious issue complicated things, has the Greeks were in a schism regarding the Holly See. Since as soon as 1343, negociations between the papacy and the imperial court of Byzance had been taking place, real bargaining in which the West agree to help the Christian East it it recognized Rome and renounce the schiscm. In 1363, during a trip to Avignon, the Green count (Amédée VI), declared he was ready to an attempt. Added to religious motives were other considerations. He was allied by marriage to the Byzantin emperor John Paleologue, and as the chief of the House of Savoy he had pretention of the lower Achaie branch. It was also an occasion to get rid of brigands by sending them in crusade. Anyway, it seems it was really the ideal of chivalry which had the biggest role in his decision. This is in relation with this planned crusade that the Green Count created the Ordre du Collier de Savoie (oirder if the Necklace), which will later be called the Order of the Annonciade, and which gathered 15 knights among the most famous. Amédée VI created it in 1364, with is closed frend Guillaumd de Grandson, and this large Vaudois, surnamed nicknamed the Valiant, would be the first member of the order. The lords who were called to be part of this order of chivalry became "companions and brothers" of the count, and wore a necklace with 3 love lakes , with the Motto of House of Savoy.
For this expedition in Orient, Amédée gathered his vassals, volunteers, with milanese, English and German mercenaries. The communal militia from Vaud were exempted from it due to specific rules in their country, but many lords of the pays de Vaud followed their prince abroad: Guillaume de Grandson and his son Oton, Guillaume d'Estvayar Guillaume d'Estavayer, Pierre d'Oron, Georges des Clées, Gérard de Senarclens, Aymon de Prez, Jaques de Grandson, Antoine d'Yverdon, le knight of Bottens et the Knight de Gland, François de Pontverre-Aigremont, Thomas Bize de Moudon, et deux Provannaz, and all the ones whose name has been forgotten. After he gave to the countess the power to rule in his absence, Amédée left Savoy in 1366 with 1500 men. At Venice, he armed a flotilla of 15 galleys, 6 Venetian, 6 Genoese and 3 from Marseilles. The one he kept for himself was painted green. To its mast was a great banner with the colours of Savoy, with a green flag and a flue flag with golden stars, and a picture of the Virgin.
The count and his friend Guillaume de Grandson, who visited the cannls of Venice, visited piously the churches of the city, or had coat, shoes and hats made in green. Even the lances of Amédée were painted green, it was really the Crusade of the Green Count. The naval character of the expedition did not caught the count unprepared. He enacted decrees about "le gourvernment d'aller sur la mer" (government of going on the sea), that fixed with precision the order of the navigation, the tasks of the admirals, and the signal codes for day and night. The savoyard lord Etienne de la Baume, Grand Admiral, was leading the convoy with the Genoese Gally, the count and his vassals followed with the Venetian, and the Marseillais closed the convoy.
Each ship carried betwen 100 and 200 men.
The fleet leave Venice the 11 of June 1366, then follows the Adriatic Sea to the island of Eubée, were a base is established.
The troops land at Gallipoli, which surrenders after 5 days of siege. The operation starts well. Amédée leaves a garrison in the city, and the major part of the army reembarks for Constitanople, and reaches it in September, after some violent storms in the Marmara sea.
The count of Savoy is welcomed by the court of Byzance, which gives him a place on the splendid Golden Horn, but he then learns the misadventure of the Basileus, captured by the treacherous Bulgarians when he was coming from Hungary. The urgent duty of the count was to free his imperial cousin, but then the glorious crusade against the infidel Turks became a banal expedition against the Christian Bulgarians!
New galleys are armed (two of them given by the Empress), et the army sails on the Black Sea to reach the Gulf of the Danube, while chasing Trukish shios.
The siege or Mesembria is done vigorously from sea and leand, and under the bombardment of siege machine build in site, the bulgarian citadel is soon assaulted. The main part of the expeditionnary corps goes to Varna, harder to take, while Guillaume de Grandson, has second captian, besieds the fortress of Aquilla (Aidos). The king of the Bulgarians, worried, offer peace, the emperor his freed and Mesembria is given to the Green count, who had already created an redisence there. But the place is difficult to keep, and the climate is dangerous. After leaving a small garrison there for a while, Amédée sold his conquest to the emperor for 15000 florins.
After a triumphal return to the capitale of the Bosphire, the count and his suite stays for a while resting, in the emperial palace, entertain by feast on the sea. But Amédée has scruples. He had promise to the Pope he would fight the Turks, ennemies of Christiandom. He decides for action: two Turkish fortresses in the Propontide are cpatured, and the flag of Savoy is raised there. And then he come back to Constantinople fort the second time to prepare his return.
It's in june 1367 that the ships of the Green Count left the bosphore. They halted at Galliopli to fetch the Savoyard garrison, and the city is given to the Greeks, who would be forced to abandon it to the Turks w few time later.
The 31 of July, after several stops, the crusaders entered in Venice.
It was just the time when the Papacy, after 60 years spend in Avignon, was coming back to Rome. Amédée decided to go to this city, where the Pope Urban V had just arrived. The Green Count crossed Padoue, Plaisance, Pisa, Sienna, and arrived mid october in the Eternal City. He visted the churches, and obtained from the Pope a general absolution for he and his men.
He left at the end of the month for Florence, Bologne, Pavie, the 10 of december he's at Chambéry.
This nice adventure yield nothing, neither to the count Amédée, neither to the Byzantines. Many men were killed in Bulgaria, other were mutilated by the vicious Turks. Many lors lost a fortune in the feasts of Constantinople. To come back, the Count had to take large loans from Constinople banks.
But this oriental expedition brought glory to the chief and his followers.