

Standard 7: Evaluating music and music performances.Standard 6: Listening to, analyzing, and describing music.The first movement of Bartok's Music for Strings, Percussion, and Celeste is a famous example of this means of organization. The ratios between the number of measures in a sonata exposition, the number of measures in the development and recapituation sections (together), and the movement as a whole often approximate Fibonacci ratios. You may want to ask more advanced music students to search for other Fibonacci ratios in musical scores.For example, C and A are 264 cycles per second and 440 cycles per second a ratio of 3/5, two Fibonacci numbers. For further information, tell the students that the vibrations per second of different musical intervals are in Fibonacci ratios.Also, the Pentatonic scale has 5 notes, the Diatonic scale has 8 notes, and the Chromatic scale as 13 notes all Fibonacci numbers! Students should discover that a keyboard has 8 white keys, 5 black keys, and 13 notes all together in each octave. Ask the students to look around the room and find something that may have a Fibonacci number associated with it.For example, you can mention that in nature, poison ivy has the Fibonacci number 3. Tell the students that mathematicians have found that an unusual quantity of items have Fibonacci numbers associated with them.Tell them a little about Leonardo of Pisa.


Then, ask them to list the next nine or ten numbers in the sequence. Ask students to relate how the numbers are generated.These music lesson plans identify clear learning objectives. Write six numbers of the Fibonacci Sequence on the chalkboard. Music teachers can utilize s range of music lesson plans to introduce students to music genres and music concepts.A picture of a keyboard, prominently displayed in the classroom The link between the physical practice of music and strong mathematical abilities are demonstrated in studies that show that kids who play a musical instrument.Students will describe the Fibonacci number pattern sequence, commonly called the Fibonacci Sequence, and explain some ways that it appears in music.Students will be able to list some connections between mathematics and music.Students discover the patterns in music that relate to the Fibonacci Sequence.
