Question: What is the derivative from the Lesser Antilles of the French dance that influenced Irish dance known as?

Context paragraphs:
Quadrille: The quadrille is a dance that was fashionable in late 18th- and 19th-century Europe and its colonies.  Performed by four couples in a rectangular formation, it is related to American square dancing.  The Lancers, a variant of the quadrille, became popular in the late 19th century and was still danced in the 20th century in folk-dance clubs.  A derivative found in the Francophone Lesser Antilles is known as "kwadril", and the dance is also still found in Madagascar and is within old Jamaican / Caribbean culture.

Lesser Antilles: The Lesser Antilles (also known as the Caribbees) are a group of islands in the Caribbean Sea.  Most form a long, partly volcanic island arc between the Greater Antilles to the north-west and the continent of South America.  The islands form the eastern boundary of the Caribbean Sea with the Atlantic Ocean.  Together, the Lesser Antilles and the Greater Antilles compose the Antilles (or the Caribbean in its narrowest definition).  When combined with the Lucayan Archipelago, all three are known as the West Indies.

1963 Atlantic hurricane season: The 1963 Atlantic hurricane season featured one of the deadliest tropical cyclones on record in the Atlantic basin: Hurricane Flora.  The season officially began on June 15, and lasted until November 15.  These dates conventionally delimit the period of each year when most tropical cyclones form in the Atlantic basin.  It was a near-average season in terms of tropical storms, with a total of nine named storms.  The first system, Hurricane Arlene, developed between Cape Verde and the Lesser Antilles on July 31.  The storm later impacted Bermuda, where strong winds resulted in about $300,000 (1963 USD) in damage.  Other storms such as hurricanes Beulah and Debra, as well as an unnamed tropical storm, did not impact land.  During the month of September, Hurricane Cindy caused wind damage and flooding in Texas, leaving three deaths and approximately $12.5 million in damage.  Hurricane Edith passed through the Lesser Antilles and the eastern Greater Antilles, causing 10 deaths and about $43 million in damage, most of which occurred on Martinique.

Hurricane Donna: Hurricane Donna was the strongest hurricane of the 1960 Atlantic hurricane season, and caused severe damage to the Lesser Antilles, the Greater Antilles, and the East Coast of the United States, especially Florida, in August–September.  The fifth tropical cyclone, third hurricane, and first major hurricane of the season, Donna developed south of Cape Verde on August 29, spawned by a tropical wave to which 63 deaths from a plane crash in Senegal were attributed.  The depression strengthened into Tropical Storm Donna by the following day.  Donna moved west-northwestward at roughly and by September 1, it reached hurricane status.  Donna deepened significantly and reached its peak intensity early on September 4, with maximum sustained winds of 160 mph (260 km/h).  Thereafter, it weakened slightly as it brushed the Lesser Antilles later that day.  On Sint Maarten, the storm left a quarter of the island's population homeless and killed seven people.  An additional five deaths were reported in Anguilla, and there were seven other fatalities throughout the Virgin Islands.  In Puerto Rico, severe flash flooding led to 107 fatalities, 85 of them in Humacao alone.  Donna further weakened to a Category 3 hurricane late on September 5, but eventually became a Category 4 hurricane again.  While passing through The Bahamas, several small island communities in the central regions of the country were leveled, but no damage total or fatalities were reported.

Music of the Lesser Antilles: The music of the Lesser Antilles encompasses the music of this chain of small islands making up the eastern and southern portion of the West Indies.  Lesser Antillean music is part of the broader category of Caribbean music; much of the folk and popular music is also a part of the Afro-American musical complex, being a mixture of African, European and indigenous American elements.  The Lesser Antilles' musical cultures are largely based on the music of African slaves brought by European traders and colonizers.  The African musical elements are a hybrid of instruments and styles from numerous West African tribes, while the European slaveholders added their own musics into the mix, as did immigrants from India.  In many ways, the Lesser Antilles can be musically divided based on which nation colonized them.

Tropical Storm Chris (1988): Tropical Storm Chris caused minor flooding in the Greater Antilles and the Eastern United States in August 1988.  The seventh tropical cyclone and third named storm of the annual hurricane season, Chris developed from a tropical wave while roughly midway between Africa and the Lesser Antilles on August 21.  Forming as a tropical depression, it remained weak for several days, crossing the Lesser Antilles, Hispaniola, and The Bahamas during this time.  While offshore the coast of Florida on August 28, the depression intensified into Tropical Storm Chris.  Thereafter, the system tracked rapidly north-northwestward and came ashore near Savannah, Georgia later that day.  Once inland, Chris quickly weakened, and by early on the following day, it weakened to a tropical depression over South Carolina.  Six hours later, Chris was absorbed by a cold front while over North Carolina, though the remnants of the system tracked across the Eastern United States and Atlantic Canada before dissipating on August 30.

Lesser Antilles Volcanic Arc: The Lesser Antilles Volcanic Arc is a volcanic arc that forms the eastern boundary of the Caribbean Plate.  It is part of a subduction zone, also known as the Lesser Antilles subduction zone, where the oceanic crust of the South American Plate is being subducted under the Caribbean Plate.  This subduction process formed a number of volcanic islands, from the Virgin Islands in the north to the islands off the coast of Venezuela in the south.  The Lesser Antilles Volcanic Arc includes seventeen active volcanoes, notably Soufriere Hills on Montserrat; Mount Pelée on Martinique; La Grande Soufrière on Guadeloupe; Soufrière Saint Vincent on Saint Vincent; and the submarine volcano Kick 'em Jenny which lies about 10 km north of Grenada.

1909 Atlantic hurricane season: The 1909 Atlantic hurricane season was an average Atlantic hurricane season.  The season produced eleven tropical cyclones, of which all eleven became tropical storms; six became hurricanes, and four of those strengthened into major hurricanes.  The season's first storm developed on June 15 while the last storm transitioned into an extratropical cyclone on November 14.  The most notable storm during the season formed in late August, while east of the Lesser Antilles.  The hurricane devastated the Lesser Antilles, the Greater Antilles, and Mexico, leaving around 4,000 fatalities and more than $50 million (1909 USD) in damage.

Leeward Antilles: The Leeward Antilles (Dutch: "Benedenwindse Eilanden") are a chain of islands in the Caribbean – specifically, the southerly islands of the Lesser Antilles (and, in turn, the Antilles and the West Indies) along the southeastern fringe of the Caribbean Sea, just north of the Venezuelan coast of the South American mainland.  The Leeward Antilles, while among the Lesser Antilles, are not to be confused with the Leeward Islands (also of the Lesser Antilles) to the northeast.

Irish dance: Irish dance or Irish dancing is a group of traditional dance forms originating in Ireland, encompassing dancing both solo and in groups, and dancing for social, competitive and performance purposes.  Irish dance in its current form developed from various influences such as French quadrilles and English country dancing throughout the 18th and 19th centuries.  Dance was taught by "travelling dance masters" across Ireland throughout this period, and separate dance forms developed according to regional practice and differing purposes.  Irish dance became a significant part of Irish culture, particularly for Irish nationalist movements.  From the early 20th century, a number of organisations promoted and codified the various forms of dance, creating competitive structures and standardised styles.

Supporting paragraphs: Irish dance Quadrille
Answer: kwadril