The cone rating of a clay or glaze is the temperature at which the clay matures. So if a cone 10 clay is fired to cone 5, the resulting pot will not be completely matured. This may or may not cause a problem, depending on what the piece is used for. For example, a cone 10 porcelain which is fired to cone 5 and not glazed will still be somewhat porous.
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As long as the clay has not been fired in the kiln, it can be recycled.
Ceramic kilns fire to many different temperatures for the various types of clay and glazes. We use pyrometric cones to determine the correct firing of items. Clays and glazes are usually designated as Low fire or High fire. Low fire cones start at 022 or approximately 1094 F and most low fire ceramics are fired at cone 06 approximately 1911 degrees F. High fire pottery is generally fired from cone 5 or 2205 F to cone 10 which is approximately 2381 degrees F. Industrial ceramics may use much higher temperatures than a hobbyist kiln.
In the "Kilning" and "bisquing" processes, the moist clay loses water (Evaporates). The water makes up about 5-10 % of the clays' substance, thus, on average, clay shrinks about 15-20% after it is in its final finished stage.
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This site explains the changes, the excerpt is a small explanation:The item is heated to temperatures up to 1170oC, during which time the clay undergoessome chemical changes and the silica and feldspar undergo physical changes. Thereactions of the clay can be summarised as follows:6Al2Si2O5(OH)4 ? 6Al2Si2O7 ? 3Al4Si3O12 ? 2Al6Si2O13kaolinite metakaolinite silicon spinel mulliteSilica and water (from the crystal lattice) are also expelled during firing, resulting in afurther 5 - 7% volume reduction. This silica mixes with the silica already present andmelts to form a glass. It is this glass, which also includes metallic ions from thefeldspar, that makes the ceramic item non-porous and water-tight.* The site: http://www.nzic.org.nz/ChemProcesses/inorganic/9C.pdf