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Equal temperament - Explanation | | Equal temperament - Explanation: Encyclopedia II - Equal temperament - Explanation | | The distance between each step and the next is aurally the same for any two adjacent steps; though, because steps form a geometric sequence, the difference in frequency increases from one to the next. A linear sequence of one frequency difference would create ever smaller intervals (ratios), such as the harmonic series. See also logarithmic scale.
Equal temperaments allow the use of integer notation; a single integer can be used to represent the pitch. The pitch classes can then be expressed in terms of modular arithmetic modulo the number of divisions of the octave, and this expedites mathematic ...
See also:Equal temperament, Equal temperament - Explanation, Equal temperament - History, Equal temperament - Twelve-tone equal temperament, Equal temperament - Cent values of equal temperament, Equal temperament - Non-12 TET, Equal temperament - Sources | | | Equal temperament, Equal temperament - Cent values of equal temperament, Equal temperament - Explanation, Equal temperament - History, Equal temperament - Non-12 TET, Equal temperament - Sources, Equal temperament - Twelve-tone equal temperament, Physics of music, Mathematics of musical scales, quarter tone scale, 19 tone equal temperament, 22 tone equal temperament, 31 tone equal temperament, 53 tone equal temperament, 72 tone equal temperament, Pythagorean tuning | just intonation | meantone temperament | well temperament | | |
| | | Equal temperament: Encyclopedia II - Equal temperament - Explanation
Equal temperament - Explanation
The distance between each step and the next is aurally the same for any two adjacent steps; though, because steps form a geometric sequence, the difference in frequency increases from one to the next. A linear sequence of one frequency difference would create ever smaller intervals (ratios), such as the harmonic series. See also logarithmic scale.
Equal temperaments allow the use of integer notation; a single integer can be used to represent the pitch. The pitch classes can then be expressed in terms of modular arithmetic modulo the number of divisions of the octave, and this expedites mathematical methodology when examining these temperaments.
Other related archives19 tone equal temperament, 19-TET, 19-tET, 22 tone equal temperament, 22-tET, 24-tone, 31 tone equal temperament, 31-TET, 31-tET, 53 tone equal temperament, 53-tET, 72 tone equal temperament, 72-tET, Adriaan Fokker, Bohlen-Pierce scale, Christiaan Huygens, Galileo Galilei, Gamelans, Georg Philipp Telemann, Giuseppe Tartini, J. S. Bach, Joe Maneri, Marin Mersenne, Mathematics of musical scales, Meantone, Meantone temperament, Ming Dynasty, Physics of music, Pythagorean tuning, Simon Stevin, The Well-Tempered Clavier, Vincenzo Galilei, Wendy Carlos, Western music, Wolfgang Amadeus Mozart, a capella, absolute pitch, atonal music, beating, cents, consonance, fifths, frequency, fretted, geometric sequence, harmonic series, hertz, integer notation, jazz, just intonation, justly tuned, keyboard, linear, logarithmic scale, meantone, meantone temperament, minor third, modular arithmetic, music, musical tuning, octave, perfect fourth, pitch classes, polytonality, pseudo-octave, quarter tone, quarter tone scale, ratios, schismatic temperament, serialism, steps, stretched octaves, thirds, triads, tritave, tuning, twelfth root of two, twelve tone technique, well temperament, wind
 Adapted from the Wikipedia article "Explanation", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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