You'll also need access to a metronome, but don't worry if you don't have one – a quick Google search will provide exactly what you need. This is a great hands-on math activity if you want to take musical math to the next level and actually have students play some notes on a piano keyboard! If you don't have access to a piano or digital keyboard, you can search for a free version online. You can also challenge students to find equivalent values for different notes, like a half note or a quarter note. You may require them to write the value of each note in parentheses too. Students can draw the music notes themselves or write the names of the notes. A sixteenth note or sixteenth rest represents one sixteenth of the duration of a whole note, or one quarter of a beat. An eighth note or eighth rest represents one eighth of the duration of a whole note, or one half of a beat. A whole rest equals four beats of silence.įinally, if you want to make this activity more challenging, you can consider incorporating shorter notes and rests: A half rest equals two beats of silence. A quarter rest equals one beat of silence. A rest is a music symbol that represents beats of silence, where no notes are played: Similarly, you may want to incorporate "rest" symbols into your addition and subtraction practice too. First, you'll want to familiarize yourself and your students with the values of some common music notes: In this activity, use the different values of music notes to help your students practice basic addition and subtraction. Be sure to tag on social media if you try out any of these activities with your class! Music Note Addition and Subtraction The following activities are simple and effective ways to help students strengthen math skills, including addition, subtraction, counting, and parts of the whole, through music. Music helps children develop important math skills. Learn to recognize note values while practicing addition and subtraction practice "parts of the whole" by breaking down long notes into equivalent shorter notes and count beats to sharpen basic counting skills. That is, E."I love math!" These words are music to a teacher's ears, so to help you cultivate a love of math with your little ones, we're featuring three activities that use music concepts to reinforce math skills in our September blog post. What is the pitch class 5 semitones above B-natural (11)? 11 + 5 = 4. What is the interval class from pitch class 7 (G) to pitch class 10 (B-flat)? 10 - 7 = 3 Modular arithmetic is a quick way to calculate various intervals between pitches or pitch classess. To add or subtract in mod12, perform the calculation in the usual manner (7 + 15 = 22) and then add or subtract 12s until you get a number from 0 to 11 (22 - 12 = 10).Īdding and subtracting can represent many musical ideas: moving seven half steps above D takes you to A (2 + 7 = 9) combining 2 half steps and 11 half steps produces 1 half step (2 + 11 = 1 or starting with C, moving up 2 half steps reaches D, and 11 more C-sharp - 1 higher than the original C). On this circle, all values are a number from 0 to 11. While we are used to thinking of numbers on an infinite line, modular thinking wraps them into a finite number, generally represented by a circle. (Note that while clocks start at 1 and end on 12, modular arithmetic always (re)starts with zero.) Conversely, when counting down, we follow 0 with 11. In this universe, modular arithmetic is a very useful way to imagine getting around.Ĭounting in this modulo 12 (or mod12) universe works just as in basic math, but after 11, we “begin again” at 0. In post-tonal music, once we assume octave and enharmonic equivalence, our pitch-class environment includes twelve unique pitch classes, just like the twelve hours on the clock. This is a modular system - we might call it modulo-G because after G we go back to the beginning (A). We begin on C, then D, E, F, G and back to A before B and returning to C. Musical structures can often be best understood using this modular arithmetic. In the case of our 12-hour clock, the modulus is 12. Modular arithmetic is like regular arithmetic, except that the numbers “wrap around” or restart when they reach a certain value, called the modulus. When we make calculations like this, we are doing modular arithmetic. What time is four hours later than 10 o’clock?
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