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The most widely known example of this is the use of equal temperament to address problems of older temperaments, allowing for consistent tuning of keyboard and fretted instruments and enabling musical composition in, and modulation among, the various keys. [citation needed]
A regular temperament is any tempered system of musical tuning such that each frequency ratio is obtainable as a product of powers of a finite number of generators, or generating frequency ratios. For instance, in 12-TET , the system of music most commonly used in the Western world, the generator is a tempered fifth (700 cents), which is the ...
Musical temperaments involve irrational numbers. Tunings which involve only rational numbers should go in Category:Just tunings instead. Subcategories.
12 tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequencies of any adjacent pair of notes is the same.
In music theory, Young temperament is one of the circulating temperaments described by Thomas Young in a letter dated 9 July 1799, to the Royal Society of London.The letter was read at the Society's meeting of 16 January 1800, and included in its Philosophical Transactions for that year.
Although the 72 equal temperament is based on irrational intervals (see above), as is the 12 tone equal temperament (12 EDO) mostly commonly used in Western music (and which is contained as a subset within 72 equal temperament), 72 equal temperament, as a much finer division of the octave, is an excellent tuning for both representing the ...
Well temperament (also good temperament, circular or circulating temperament) is a type of tempered tuning described in 20th-century music theory. The term is modeled on the German word wohltemperiert. This word also appears in the title of J. S. Bach's famous composition "Das wohltemperierte Klavier", The Well-Tempered Clavier.
For example, in 19 ET, E ♯ and F ♭ are the same pitch; and in just intonation for C major, C ♯ D are within 8.1 ¢, and so can be tempered to be identical. Many musical instruments are capable of very fine distinctions of pitch, such as the human voice, the trombone, unfretted strings such as the violin, and lutes with tied frets.