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A picture of this item can be found at this link

http://tinyurl.com/Earnshaw-Key-to-Musical-Keys

Developed by Samuel Earnshaw 1869 -

born 1805 - Died 1888

a graduate of St. John's, B.A. 1857, M.A. 1868, and a cleric.He was ordained deacon 21 September 1834 at Buckden (Lincoln), and priest 20 September 1846 in the parish church of St. Michael, Cambridge (Ely). In 1837 he acted as Pro Proctor. In June 1838 he was appointed to the sinecure Barnaby Lecturship in Philosophy at the Congregation. For a time he acted as curate to the Rev. Charles Simeon. - http://www.chem.yale.edu/~chem125/levitron/Earnshaw.html

Below is information about a patent filed by 3 of his sons.

One of his many works on mathematics and physics. Description and use of the Key of Musical Keys, a new apparatus for solving ... questions about musical scales, intervals and chords, etc. (1869)

London Gazette, 10-1-1869

Patent # 2647: to Alfred Earnshaw and George edward earnshaw, both of Sheffield, in the county of York, Merchant's Clerks, and Frederic Earnshaw, of Harrinton-street, in the county of Middlesex, Banker's Clerk, for the invention of "a new or imporved mode of and apparatius for comparing musical keys, and for examining and explaining musical relations and harmonies, chords, and consonances."

I have one of these that was found in a old sea chest that was marked Earn Line Steam Ship Company.

Interested Parties can Contact: Family.Genealogy@comcast.net

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Q: What does Samuel Earnshaw's Key of Musical Keys apparatus look like?
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