ying explanation for what we call beauty both in the natural object and in an artistic masterpiece. Fibonacci Numbers in Music and Poetry:Perhaps the clearest link between Fibonacci numbers and music can be found on the keyboard of a piano. An octave on a keyboard is made up of 8 white keys and 5 black keys. The black keys are positioned in-groups of 2 and 3. There are 13 keys altogether in one octave, an analysis of which involves each of the first six Fibonacci numbers. The keyboard aside, those 13 notes belong to what is known as the chromatic scale, the most complete scale to have developed in Western Music. Its principal predecessor was the 8-note diatonic scale, better known as the octave, which was preceded by the 5-note pentatonic scale. The pentatonic scale was used in Early European music and is 6 the basis today of the American Kodaly method of music education for young children. Any 5 consecutive black keys on a keyboard constitute such a scale. A number of well-known folk tunes can be played using just the se kids including Mary Had A Little Lamb and Amazing Grace. The musical intervals considered by many to be the most pleasing to the ear are the major sixth and minor sixth. A major sixth for example, consists of C, vibrating at about 264 vibrations per second, and A, vibrating at about 440 vibrations per second. The ratio of 264 to 440 reduces to 3/5, a Fibonacci ratio. An example of a minor sixth would be E about 330 vibrations a second, and C about 528 vibrations per second. That ratio of 330 to 528 reduces to 5/8, the next Fibonacci Ratio. The vibrations of any sixth interval reduce to a similar ratio. It has been suggested that the Fibonacci numbers are part of a natural harmony that not only looks good to the eye but sounds good to the ear. Perhaps this is why great composers have used these systems. It is not difficult to find Fibonacci numbers in poetry. Consider, for example, the limerick, made up of 5 lines with ...
