Question: What song from "The Pirates of Penzance" is the tune behind another song which recites the names of all the chemical elements up to number 102?

Context articles: Abundances of the elements (data page)
The Elements (song)
Period 2 element
Supernova nucleosynthesis
Hail, Hail, the Gang's All Here
Major-General's Song
Period 1 element
Period 7 element
Give U My Heart
Period 3 element

The established abundances of chemical elements in urban soils can be considered as their geochemical (ecological and geochemical) characteristic, reflecting the combined impact of technogenic and natural processes occurring during certain time period (the end of the 20th century–beginning of the 21st century).
 The figures were established on the base of average concentrations of chemical elements in the soils of more than 300 cities and settlements in Europe, Asia, Africa, Australia, and America.
 In spite of significant differences between abundances of several elements in urban soils and those values calculated for the Earth's crust, the general patterns of element abundances in urban soils repeat those in the Earth's crust in a great measure.
 With the development of science and technology the abundances may gradually change.
 The rate of these changes is still poorly predictable.
 The abundances of chemical elements may be used during various ecological and geochemical studies.
"The Elements" is a song by musical humorist and lecturer Tom Lehrer, which recites the names of all the chemical elements known at the time of writing, up to number 102, nobelium.
 It was written in 1959 and can be found on his albums "Tom Lehrer in Concert", "More of Tom Lehrer" and "An Evening Wasted with Tom Lehrer".
 The song is sung to the tune of the Major-General's Song from "The Pirates of Penzance" by Gilbert and Sullivan.
A period 2 element is one of the chemical elements in the second row (or period) of the periodic table of the chemical elements.
 The periodic table is laid out in rows to illustrate recurring (periodic) trends in the chemical behavior of the elements as their atomic number increases; a new row is started when chemical behavior begins to repeat, creating columns of elements with similar properties.
Supernova nucleosynthesis is a theory of the production of many different chemical elements in supernova explosions, first advanced by Fred Hoyle in 1954.
 The nucleosynthesis, or fusion of lighter elements into heavier ones, occurs during explosive oxygen burning and silicon burning processes.
 Those fusion reactions create the elements silicon, sulfur, chlorine, argon, sodium, potassium, calcium, scandium, titanium and iron peak elements: vanadium, chromium, manganese, iron, cobalt, and nickel.
 These are called "primary elements", in that they can be fused from pure hydrogen and helium in massive stars.
 As a result of their ejection from supernovae, their abundances increase within the interstellar medium.
 Elements heavier than nickel are created primarily by a rapid capture of neutrons in a process called the r-process.
 However, these are much less abundant than the primary chemical elements.
 Other processes are thought to be responsible for some nucleosynthesis of other such heavy elements, notably, the proton capture process known as the rp-process and a photodisintegration process known as the gamma (or p) process.
 The latter synthesizes the lightest, most neutron-poor, isotopes of the heavy elements.
Hail, Hail, the Gang's All Here is an American popular song first published in 1917.
 The lyrics were written by D. A. Esrom (pseudonym of Theodora Morse) partly to a tune originally written by Arthur Sullivan for the 1879 comic opera "The Pirates of Penzance".
 The tune is part of "With Cat-Like Tread" from Act II of "Pirates of Penzance" and was arranged by Morse from Sullivan's original.
"I Am the Very Model of a Modern Major-General" (often referred to as the "Major-General's Song" or "Modern Major-General's Song") is a patter song from Gilbert and Sullivan's 1879 comic opera "The Pirates of Penzance".
 It is perhaps the most famous song in Gilbert and Sullivan's operas.
 It is sung by Major General Stanley at his first entrance, towards the end of Act I.
 The song satirises the idea of the "modern" educated British Army officer of the latter 19th century.
 It is one of the most difficult patter songs to perform, due to the fast pace and tongue-twisting nature of the lyrics.
A period 1 element is one of the chemical elements in the first row (or period) of the periodic table of the chemical elements.
 The periodic table is laid out in rows to illustrate periodic (recurring) trends in the chemical behaviour of the elements as their atomic number increases: a new row is begun when chemical behaviour begins to repeat, meaning that elements with similar behaviour fall into the same vertical columns.
 The first period contains fewer elements than any other row in the table, with only two: hydrogen and helium.
 This situation can be explained by modern theories of atomic structure.
 In a quantum mechanical description of atomic structure, this period corresponds to the filling of the 1s orbital.
 Period 1 elements obey the duet rule in that they need two electrons to complete their valence shell.
 The maximum number of electrons that these elements can accommodate is two, both in the 1s orbital.
 Therefore, period 1 can have only two elements.
A period 7 element is one of the chemical elements in the seventh row (or "period") of the periodic table of the chemical elements.
 The periodic table is laid out in rows to illustrate recurring (periodic) trends in the chemical behaviour of the elements as their atomic number increases: a new row is begun when chemical behaviour begins to repeat, meaning that elements with similar behaviour fall into the same vertical columns.
 The seventh period contains 32 elements, tied for the most with period 6, beginning with francium and ending with oganesson, the heaviest element currently discovered.
 As a rule, period 7 elements fill their 7s shells first, then their 5f, 6d, and 7p shells, in that order; however, there are exceptions, such as uranium.
"Give U My Heart" is a song recorded by American R&B singers Babyface and Toni Braxton for the soundtrack to the 1992 film "Boomerang".
 The collaboration was released as a single the same year, reaching number twenty-nine on the "Billboard" Hot 100 and number two on the "Billboard" Hot R&B/Hip-Hop Songs (behind another song from the "Boomerang" soundtrack, Boyz II Men's "End of the Road").
A period 3 element is one of the chemical elements in the third row (or period) of the periodic table of the chemical elements.
 The periodic table is laid out in rows to illustrate recurring (periodic) trends in the chemical behaviour of the elements as their atomic number increases: a new row is begun when the periodic table skips a row and a chemical behaviour begins to repeat, meaning that elements with similar behavior fall into the same vertical columns.
 The third period contains eight elements: sodium, magnesium, aluminium, silicon, phosphorus, sulfur, chlorine, and argon.
 The first two, sodium and magnesium, are members of the s-block of the periodic table, while the others are members of the p-block.
 Note that there is a 3d subshell, but it is not filled until period 4, such giving the period table its characteristic shape of "two rows at a time".
 All of the period 3 elements occur in nature and have at least one stable isotope.