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A# C# D# F#G# A# C# D# F# G#A# C#D# F#G#A# C# D# F#G#A# C# D# F# G# A# C# D# F# G# A#

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A# C# D# F#G# A# C# D# F# G#A# C#D# F#G#A# C# D# F#G#A# C# D# F# G# A# C# D# F# G# A# C#D# F#G#A# ABCDEFGABCDEFGABCDEFGABCDEFGABCDEFGABCDEFGABCDEFGABC 220 Hz middle C (a) Find the frequency of middle C. (Round your answer to two decimal places.) x Hz (b) Find the frequency of A above middle C. Hz (c) What is the frequency of the lowest note on the keyboard? Hz Is there a way to solve this without simply computing the frequency of every key below A220? Yes No (d) The Bosendorfer piano is famous, due in part to the fact it includes additional keys at the left hand end of the keyboard, extending to the C below the bottom A on a standard keyboard. What is the lowest frequency produced by a Bosendorfer? (Round your answer to two decimal places.) Hz

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