Set (music)

A set (pitch set, pitch-class set, set class, set form, set genus, pitch collection) in music theory, as in mathematics and general parlance, is a collection of objects. In musical contexts the term is traditionally applied most often to collections of pitches or pitch-classes, but theorists have extended its use to other types of musical entities, so that one may speak of sets of durations or timbres, for example.

A set by itself does not necessarily possess any additional structure, such as an ordering. Nevertheless, it is often musically important to consider sets that are equipped with an order relation (called segments); in such contexts, bare sets are often referred to as "unordered", for the sake of emphasis.

Two-element sets are called dyads, three-element sets trichords (occasionally "triads", though this is easily confused with the traditional meaning of the word triad). Sets of higher cardinalities are called tetrachords (or tetrads), pentachords (or pentads), hexachords (or hexads), heptachords (heptads or, sometimes, mixing Latin and Greek roots, "septachords"—e.g.,), octachords (octads), nonachords (nonads), decachords (decads), undecachords, and, finally, the dodecachord.

Set construction

Set construction is the process by which a construction manager undertakes to build full scale scenery suitable for viewing by camera, as specified by a production designer or art director working in collaboration with the director of a production to create a set for a theatrical, film or television production. The set designer produces a scale model, scale drawings, paint elevations (a scale painting supplied to the scenic painter of each element that requires painting), and research about props, textures, and so on. Scale drawings typically include a groundplan, elevation, and section of the complete set, as well as more detailed drawings of individual scenic elements which, in theatrical productions, may be static, flown, or built onto scenery wagons. Models and paint elevations are frequently hand-produced, though in recent years, many Production Designers and most commercial theatres have begun producing scale drawings with the aid of computer drafting programs such as AutoCAD or Vectorworks.

Associative containers

In computing, associative containers refer to a group of class templates in the standard library of the C++ programming language that implement ordered associative arrays. Being templates, they can be used to store arbitrary elements, such as integers or custom classes. The following containers are defined in the current revision of the C++ standard: set, map, multiset, multimap. Each of these containers differ only on constraints placed on their elements.

The associative containers are similar to the unordered associative containers in C++ standard library, the only difference is that the unordered associative containers, as their name implies, do not order their elements.

Design

Characteristics

Ash (near Salway)

Coordinates: 50°46′N 2°46′W / 50.76°N 02.76°W / 50.76; -02.76

Ash is a hamlet approximately 0.6 miles (1 km) east of the village of Salway, Dorset, England.

References

Ash (deity)

Ash was the ancient Egyptian god of oases, as well as the vineyards of the western Nile Delta and thus was viewed as a benign deity. Flinders Petrie in his 1923 expedition to the Saqqara (also spelt Sakkara) found several references to Ash in Old Kingdom wine jar seals: "I am refreshed by this Ash" was a common inscription.

In particular, he was identified by the Ancient Egyptians as the god of the Libu and Tinhu tribes, known as the "people of the oasis". Consequently Ash was known as the "lord of Libya", the western border areas occupied by the Libu and Tinhu tribes, corresponds roughly with the area of modern Libya. It is also possible that he was worshiped in Ombos, as their original chief deity.

In Egyptian mythology, as god of the oases, Ash was associated with Set, who was originally god of the desert, and was seen as protector of the Sahara. The first known reference to Ash dates to the Protodynastic Period, but by the late 2nd Dynasty, his importance had grown, and he was seen as protector of the royal estates, since the related god Set, in Lower Egypt, was regarded as the patron deity of royalty itself. Ash's importance was such that he was mentioned even until the 26th Dynasty.

Ash (analytical chemistry)

In analytical chemistry, ashing is the process of mineralization for preconcentration of trace substances prior to chemical analysis. The residues after a sample is completely burnt - in contrast to the ashes remaining after incomplete combustion - consist mostly of metal oxides.

Ash is one of the components in the proximate analysis of biological materials, consisting mainly of salty, inorganic constituents. It includes metal salts which are important for processes requiring ions such as Na⁺ (Sodium), K⁺ (Potassium), and Ca²⁺ (Calcium). It also includes trace minerals which are required for unique molecules, such as chlorophyll and hemoglobin.

Example

For instance, the analysis of honey shows:

In this example the ash would include all the minerals in honey.

References

See also