Cent (music): Difference between revisions
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The '''cent''' is a logarithmic measure of a musical interval introduced by Alexander Ellis. It appears in an article he published in 1885<ref name=tune/> and also in the appendix he added to his translation of Herman von Helmholtz's ''On the Sensation of Tone As a Physiological Basis for the Theory of Music''.<ref name= | The '''cent''' is a logarithmic measure of a musical interval introduced by Alexander Ellis. It appears in an article he published in 1885<ref name=tune/> and also in the appendix he added to his translation of Herman von Helmholtz's ''On the Sensation of Tone As a Physiological Basis for the Theory of Music'',<ref name=Ellis/> also published as ''Die Lehre von den Tonempfindungen'', translated as ''On the sensations of tone''.<ref name=sensations/> A cent is the logarithmic division of the equitempered semitone into 100 equal parts. It is therefore the 1200th root of 2, a ratio approximately equal to (1:1.0005777895). | ||
When two notes are played together, a difference of 2 cents is noticeable, and a difference of 5 cents is heard as out of tune.<ref name=tune/> | When two notes are played together, a difference of 2 cents is noticeable, and a difference of 5 cents is heard as out of tune.<ref name=tune/> | ||
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<ref name=Ellis> | <ref name=Ellis> | ||
{{cite book |title=On the Sensation of Tone As a Physiological Basis for the Theory of Music |author=Herman von Helmholtz |url= http://books.google.com/books?id=wY2fAAAAMAAJ&pg=PA41 |edition=Alexander Ellis translation of 4th German ed |chapter=Footnote, p. 41 and Appendix XX, Section C|year=1912 |publisher=Longmans, Green}} | {{cite book |title=On the Sensation of Tone As a Physiological Basis for the Theory of Music |author=Herman von Helmholtz |url= http://books.google.com/books?id=wY2fAAAAMAAJ&pg=PA41 |edition=Alexander Ellis translation of 4th German ed |chapter=Footnote, p. 41 and Appendix XX, Section C|year=1912 |publisher=Longmans, Green}} | ||
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<ref name=sensations> | |||
{{cite book |title=On the sensations of tone |author=Herman von Helmholtz |url=http://books.google.com/books?id=o6YSpMn-h3UC&pg=PA1 |edition=Reprint of 1885 translation by Alexander Ellis |publisher=Courier Dover Publications |year=1954 |isbn=0486607534}} | |||
</ref> | </ref> | ||
Revision as of 09:41, 13 July 2012
The cent is a logarithmic measure of a musical interval introduced by Alexander Ellis. It appears in an article he published in 1885[1] and also in the appendix he added to his translation of Herman von Helmholtz's On the Sensation of Tone As a Physiological Basis for the Theory of Music,[2] also published as Die Lehre von den Tonempfindungen, translated as On the sensations of tone.[3] A cent is the logarithmic division of the equitempered semitone into 100 equal parts. It is therefore the 1200th root of 2, a ratio approximately equal to (1:1.0005777895).
When two notes are played together, a difference of 2 cents is noticeable, and a difference of 5 cents is heard as out of tune.[1]
References
- ↑ 1.0 1.1 Alexander J Ellis (March 25, 1885). "On the musical scales of various nations; §III.–Cents". Journal of the Society of Arts 33: p. 487.
- ↑ Herman von Helmholtz (1912). “Footnote, p. 41 and Appendix XX, Section C”, On the Sensation of Tone As a Physiological Basis for the Theory of Music, Alexander Ellis translation of 4th German ed. Longmans, Green.
- ↑ Herman von Helmholtz (1954). On the sensations of tone, Reprint of 1885 translation by Alexander Ellis. Courier Dover Publications. ISBN 0486607534.