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Helmholtz pitch notation

From Wikipedia, the free encyclopedia
System for naming musical notes
The naming of individualCs using the Helmholtz system

Helmholtz pitch notation is a system for namingmusical notes of theWesternchromatic scale. Fully described and normalized by the German scientistHermann von Helmholtz, it uses a combination ofupper andlower case letters (A to G),[a] and the sub- and super-prime symbols ( ͵  or) to denote each individual note of the scale. It is one of two formal systems for naming notes in a particular octave, the other beingscientific pitch notation.[1][unreliable source?][b]

History

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Helmholtz proposed this system in order to accurately define pitches in his classical work on acousticsDie Lehre von den Tonempfindungen als physiologische Grundlage für die Theorie der Musik (1863) translated into English byA.J. Ellis asOn the Sensations of Tone (1875).[2][3][c]

Helmholtz based his notation on the practice of German organ builders for labelling their pipes, itself derived from the old Germanorgan tablature in use from late medieval times until the early 18th century. His system is widely used by musicians across Europe and is the one used in theNew Grove Dictionary.[2] Once also widely used by scientists and doctors when discussing the scientific and medical aspects of sound in relation to theauditory system, it has now been replaced in the US in scientific and medical contexts byscientific pitch notation.[4][unreliable source?]

Use

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The accenting of the scale in Helmholtz notation always starts on the noteC and ends atB (e.g.C D E F G AB). The noteC is shown in different octaves by using upper-case letters for low notes, and lower-case letters for high notes, and adding sub-primes and primes in the following sequence:C͵͵Cccc″c‴ (or,,C,CCccc″c‴ orC⸜⸜CCccc⸝⸝c⸝⸝⸝) and so on.

Middle C is designatedc, therefore theoctave frommiddle C upwards iscb.

Variations

[edit]
OctaveHelmholtzHelmholtz
(English)
Helmholtz
(numbered)
ABCLilypondSPN
{ \clef bass   \ottava #-1 c,,,1 }
C͵͵or ͵͵CCCCC2or2CC,,,,c,,,C0
{ \clef bass   c,,1  }
or ͵CCCC1or1CC,,,c,,C1
{ \clef bass   c,1   }
CCCC,,c,C2
{ \clef bass   c1    }
cccC,cC3
{ \clef treble c'1   }
c′c′c1Cc'C4
{ \clef treble c''1  }
c′′c′′c2cc''C5
{ \clef treble c'''1 }
c′′′c′′′c3c'c'''C6
{ \clef treble c''''1 }
c′′′′c′′′′c4c''c''''C7
{ \clef treble \ottava #1 c'''''1 }
c′′′′′c′′′′′c5c'''c'''''C8


  • TheEnglish multiple-letter notation uses repeatedCs in place of the sub-prime symbol. Therefore is rendered asCC  ;C͵͵ asCCC  ; etc.[4] This has notation has appeared in some part names for contrabass instruments, for example, the "CC Contrabass Tuba" or the "BB♭ Contrabass Clarinet".
  • TheEnglish strokes notation replaces subscript-primes with underlines and superscript primes with overlines:C͵͵ is rendered as  ; asC ;c as andc″ asc̿  ; etc. Because the typesetting is difficult this notation has fallen out of use.[c]
  • Primes in subscript and superscript may be replaced with digits, indicating the number of primes.[d] For example,͵͵C can be written asC2 or2C, andc″ written asc2 (butnot2c).[e]
  • A system of pitch designation using uppercase and lowercase letters, commas and apostrophes, formally identical to Helmholtz pitch notation but shifted by two octaves, is used forABC notation.[f] In ABC, the notesC, andC (middle C) andc represent Helmholtzc andc andc″ respectively.
  • LilyPond music publishing software uses an all-lowercase variant, also with commas and apostrophes, where pitches that would be uppercase in Helmholtz notation are written in lowercase with an additional sub-prime. Thus,c,,, andc,, andc, represent HelmholtzC͵͵ and andC respectively.[5]

Octave and staff representation

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Whole octaves may also be given a name based on "English strokes notation". For example, the octave fromcb is called theone-line octave[1] or (less common)once-accented octave.[6] Correspondingly, the notes in the octave may be calledone-linedC (forc), etc.

This diagram gives examples of the lowest and highest note in each octave, giving their name in the Helmholtz system, and the "German method" of octave nomenclature. (The octave below the contra octave is known as the sub-contra octave.)

See also

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Notes

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  1. ^In German musical text, the letterB is used to designate a standardB, whereasH is used forB.
  2. ^abScientific pitch notation is a similar system that replaces primes and sub-primes with integers. Hence inscientific notation,middle C (Helmholtzc) is eitherC4 orC4.
  3. ^abIn the German edition of the book,Helmholtz wrote:
    "German musicians denote the pitches of the higher octaves by accents (strichelungen)".[3]
    Ellis noted that
    "English works use strokes above and below the letters, which are typographically inconvenient. Hence the German notation is retained."[3]
  4. ^See articleTonsymbol and references in the German Wikipedia.
  5. ^The variant Helmholtz notation with number-subscripts is problematic, since it is easily confused withscientific pitch notation.[b]
  6. ^TheABC music notation system is used mainly for documenting Western folk music as plain text files, and as a musical notation exchange format.

References

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  1. ^abSchmidt-Jones, Catherine."Octaves and the major-minor tonal system".cnx.com. Retrieved3 August 2007.
  2. ^ab"Hermann von Helmholtz".The Concise Grove Dictionary of Music. Oxford University Press. 1994. Retrieved3 August 2007.
  3. ^abcvon Helmholtz, Herman (1885) [1863].On the Sensations of Tone. Translated byEllis, A.J. (2nd English ed.). Cosimo. p. 15.ISBN 9781602066397 – via Google Books.{{cite book}}:ISBN / Date incompatibility (help)
  4. ^abBlood, Brian."Helmholtz".Dolmetsch Online. Staffs, clefs & pitch notation. Retrieved2 August 2007.
  5. ^"1.1.1 Writing pitches".LilyPond Notation Reference (2.18.2 ed.). Retrieved2017-11-08.
  6. ^"Once–accented octave".Merriam-Webster Dictionary of the English Language. Retrieved2017-07-19.

External links

[edit]
Staff
Musical notes
Articulation
Sheet music
Other systems
Related
Notation
Perception
See also
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