A piano has 52 white keys. Write and use an equation to find the number of octaves (8 keys) on a piano keyboard.

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07-09-2016
Mathematics

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A piano has 52 white keys. Write and use an equation to find the number of octaves (8 keys) on a piano keyboard.

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alondraaceves12 alondraaceves12 · Answer 1 · 2016-09-07T00:51:52+02:00

alondraaceves12 alondraaceves12

07-09-2016

Each octave in the piano is composed of 8 keys with the end key overlapping the next one which means the last key is the first key of the next octave. In 52 white keys, there are 7 octaves which is composed of 43 full keys and 7 overlapping keys. Answer to this problem is 7 octaves.

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ljeeps82 ljeeps82 · Answer 2 · 2016-09-07T02:23:34+02:00

ljeeps82 ljeeps82

07-09-2016

B + W = 88
B = 7 *5 + 1 (5 black keys/8 keys per octave)

therefore black keys = 36 and white keys = 52

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