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Difference between revisions of "Cent (music)"

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The '''cent''' is a logarithmic measure of a musical interval introduced by Alexander Ellis. It first appears 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/> 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).
 
The '''cent''' is a logarithmic measure of a musical interval introduced by Alexander Ellis. It first appears 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/> 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).
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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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{{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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{{cite journal |author=Alexander J Ellis |title=On the musical scales of various nations; §III.–Cents  |journal=Journal of the Society of Arts |volume= 33 |url=http://books.google.com/books?id=y0smAQAAIAAJ&pg=PA487&lpg=PA487 |pages=p. 487 |publisher=Society of Arts (Great Britain) |date=March 25, 1885}}
 
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The cent is a logarithmic measure of a musical interval introduced by Alexander Ellis. It first appears 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.[1] 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.[2]

References

  1. 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. 
  2. Alexander J Ellis (March 25, 1885). "On the musical scales of various nations; §III.–Cents". Journal of the Society of Arts 33: p. 487.