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The Well Tempered Clavier was written so people, such as students, could have a cycle of pieces, one each, in every major and minor key. This was something that was not possible in earlier times. Prior to the time of Bach, Musical Instruments were tuned with what were called just tempered systems. The intervals between notes were based on the overtone series, which give precise relationships based on ratios of integers; for example the relationship between the lengths of pipes in an organ that gave a C and the G above it were 2:3, between C and E was 4:5, and so on. The problem with this is that there are notes that cannot be tuned in this way, because no ration of integers is right. Ultimately, such notes had to be approximated, and were quite out of tune with certain other notes. The effect of this was that an instrument was tuned to be played in one key, and playing on it in other keys often sounded horrible. Also harmony was very restricted, because certain combinations of notes did not work together.
Well temperment was based on a very different approach to tuning. Instead of ratio of integers, the relationships between notes were irrational, in the mathematical sense of the word. The ratio of the C-sharp to C was the same as the twelfth root of two to one. The ratio of E to C was the same as the twelfth root of two raised to the fourth power, or the cube root of two, to one; this is very close to 5:4. So, relative to the overtone series, all the notes are almost inaudibly out of tune, but they are uniformly so, for all keys.
What else can I help you with?
What were the 2 important keyboard instruments that Bach Handel and the other Baroque composers wrote for?
Harpsichord and pipe organ.
Why is c the most important key on the piano?
The vibrational speed of middle c (256 hz) in the well tempered and equal tempered tuning allows for the most aurally pleasing notes, so it is the key around which the pitches of all the other keys are determined.
Who are the leading classical composers in French music?
The leading classical composers in French music include Bach, Mozart, and Beethoven. Other obvious choices for classical composers include Verdi and Wagner.
Does anyone know of St. Matthew Passion by composers other than J. S. Bach.?
Although many other composers wrote variants of the Bach oratorio, it is believe that no other composers have written a complete work based upon the Gospel of St. Matthew besides, JS Bach.
Why do people write music for composers?
They don't! Composers write thier own music.
Who was the composer of the Well-tempered clavier?
The Well-Tempered Clavier was the work of the greatest composer of all time: Johann Sebastian Bach; whose work pushed both Beethoven and Mozart (as well as most other composers) to achieve their highest work. You can find complete midi and mp3 versions of it at: http://wtc.sdrodrian.com/
Did other composers influence Beethoven?
Yes, there were 6 composers that influenced him.
What were the 2 important keyboard instruments that Bach Handel and the other Baroque composers wrote for?
Harpsichord and pipe organ.
How did Wolfgang Amadeus Mozart influence other composers?
Other composers used his pieces as a standard of greatness.
What does le clavier mean in french?
"Le clavier" in French translates to "the keyboard" in English, referring to the input device typically used for typing characters on a computer or other electronic device.
What are the names of the piano songs in the movie Samantha An American Girl Holiday?
The first one is Little Prelude in D major BWV 936 from six little preludes No.4 by Bach. The second is Prelude 1 Bach from Well Tempered Clavier - Book 1. The other one I heard is a Mozart´s Piano Sonata
What is a clavier?
Any keyboard instrument...most common reference is Piano. Other examples are the harpsichord and the clavichord.
Why is c the most important key on the piano?
The vibrational speed of middle c (256 hz) in the well tempered and equal tempered tuning allows for the most aurally pleasing notes, so it is the key around which the pitches of all the other keys are determined.
Organisms that eats other organims for food?
composers
Who are the leading classical composers in French music?
The leading classical composers in French music include Bach, Mozart, and Beethoven. Other obvious choices for classical composers include Verdi and Wagner.
Did Beethoven compose more than 3 other composers combined?
Yes, if you select three composers who composed only a little.
Does anyone know of St. Matthew Passion by composers other than J. S. Bach.?
Although many other composers wrote variants of the Bach oratorio, it is believe that no other composers have written a complete work based upon the Gospel of St. Matthew besides, JS Bach.
