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A single-pitched roof can be a smaller addition to an existing roof, known in some areas as a lean-to roof, and a "outshot", "catslide", or skillion roof in others. Some Saltbox homes were expanded by the addition of such a roof, often at a shallower pitch than the original roof. Single-pitched roofs are used beneath clerestory windows.
Bonnet roof: A reversed gambrel or Mansard roof with the lower portion at a lower pitch than the upper portion. Monitor roof: A roof with a monitor; 'a raised structure running part or all of the way along the ridge of a double-pitched roof, with its own roof running parallel with the main roof.'
British engineer and architect William Fairbairn is sometimes credited with the first designs for what he termed the shed principle possibly as early as 1827. In his "Treatise on Mills and Millwork", of 1863, Fairbairn stated that, "Contemporaneous with the architectural improvements in mills [from 1827], the shed principle lighted from the roof, or the "saw-tooth" system, came into operation.
The pitch of a roof is its vertical 'rise' over its horizontal 'run’ (i.e. its span), also known as its 'slope'. In the imperial measurement systems, "pitch" is usually expressed with the rise first and run second (in the US, run is held to number 12; [1] e.g., 3:12, 4:12, 5:12). In metric systems either the angle in degrees or rise per unit ...
These systems require good drainage systems, movable insulation, and an enhanced structural system to support a 35 to 70 lb/ft 2 (1.7 to 3.3 kN/m 2) dead load. With the angles of incidence of sunlight during the day, roof ponds are only effective for heating at lower and mid-latitudes, in hot to temperate climates.
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Each point on the lattice corresponds to a ratio (i.e., a pitch, or an interval with respect to some other point on the lattice). The lattice can be two-, three-, or n-dimensional, with each dimension corresponding to a different prime-number partial [pitch class]." [1] When listed in a spreadsheet a lattice may be referred to as a tuning table.