Algebra 1

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Two musical notes played at the same time produce harmony. The closest harmony is produced by frequencies with the greatest GCF. A,C,and C sharp have frequencies of 220,264,and 275, respectively. Which pair of these notes produces the closest harmony?

  • Algebra 1 -

    1 * 275 = 275.
    5 * 55 = 275.
    11 * 25 = 275.

    1 * 264 = 264.
    2 * 132 = 264.
    3 * 88 = 264.
    4 * 66 = 264.
    6 * 44 = 264.

    1 * 220 = 220.
    2 * 110 = 220.
    4 * 55 = 220.
    5 * 44 = 220.
    10 * 22 = 220.

    220 and 275 have the GCF:
    GCF = 55.

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