# Helmholtz pitch notation

**Helmholtz pitch notation** is a system for naming musical notes of the Western chromatic scale. Fully described and normalized by the German scientist Hermann von Helmholtz, it uses a combination of upper and lower 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 being scientific pitch notation.^{[1]}^{[unreliable source?]}^{[b]}

## History[edit]

Helmholtz proposed this system in order to accurately define pitches in his classical work on acoustics *Die Lehre von den Tonempfindungen als physiologische Grundlage für die Theorie der Musik* (1863) translated into English by A.J. Ellis as *On 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 German organ 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 the *New Grove Dictionary*.^{[2]} Once also widely used by scientists and doctors when discussing the scientific and medical aspects of sound in relation to the auditory system, it has now been replaced in the US in scientific and medical contexts by scientific pitch notation.^{[4]}^{[unreliable source?]}

## Use[edit]

The accenting of the scale in Helmholtz notation always starts on the note **C** and ends at **B** (e.g. **C** D E F G A **B**). The note **C** 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͵͵** **C͵** **C** **c** **c′** **c″** **c‴** (or **,,C** **,C** **C** **c** **c′** **c″** **c‴** or **C _{⸜⸜}**

**C**

_{⸜}**C**

**c**

**c**

^{⸝}**c**

^{⸝⸝}**c**) and so on.

^{⸝⸝⸝}Middle **C** is designated **c′**, therefore the octave from middle **C** upwards is **c′**–**b′**.

### Variations[edit]

- The
*English multiple-letter notation*uses repeated*C*s in place of the sub-prime symbol. Therefore**C͵**is rendered as**CC**;**C͵͵**as**CCC**; etc.^{[4]} - The
*English strokes notation*replaces subscript-primes with underlines and superscript primes with overlines:**C͵͵**is rendered as**C͇**;**C͵**as**C**;**c′**as**c̄**and**c″**as**c̿**; etc. Because the typesetting is difficult this notation has fallen out of use.^{[c]} - Primes in subscript (or superscript) may be replaced with digits in subscript (superscript) indicating the number of primes; for example,
**͵͵C**or**C**or_{2},_{2}C**c″**or**c**(but^{2}*not*).^{2}c^{[d]}^{[e]} - A system of pitch designation using uppercase and lowercase letters, commas and apostrophes, formally identical to Helmholtz pitch notation but shifted by one octave is used for ABC notation.
^{[f]} - LilyPond music publishing software uses an all-lowercase variant, where pitches that would be uppercase in Helmholtz notation are written with an additional sub-prime:
`c,,,`

and`c,,`

and`c,`

represent Helmholtz**C͵͵**and**C͵**and**C**respectively.^{[5]}

## Octave and staff representation[edit]

Whole octaves may also be given a name based on "English strokes notation". For example, the octave from **c′**–**b′** is called the *one-line octave*^{[1]} or (less common) *once-accented octave*.^{[6]} Correspondingly, the notes in the octave may be called *one-lined* **C** (for **c′**), 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[edit]

## Notes[edit]

**^**In German musical text, the letter**B**is used to designate a standard**B**^{♭}, whereas**H**is used for**B**^{♮}.- ^
^{a}^{b}Scientific pitch notation is a similar system that replaces primes and sub-primes with integers. Hence in scientific notation, middle**C**(Helmholtz**c′**) is either**C**or_{4}**C4**. - ^
^{a}^{b}In the German edition of the book, Helmholtz wrote:- "German musicians denote the pitches of the higher octaves by accents (
*strichelungen*)".^{[3]}

- "English works use strokes above and below the letters, which are typographically inconvenient. Hence the German notation is retained."
^{[3]}

- "German musicians denote the pitches of the higher octaves by accents (
**^***See*article*Tonsymbol*and references in the German Wikipedia**^**The variant Helmholtz notation with number-subscripts is problematic, since it is easily confused with scientific pitch notation.^{[b]}**^**The ABC music notation system is used mainly for documenting Western folk music as ASCII text files, and as a musical notation exchange format.

## References[edit]

- ^
^{a}^{b}Schmidt-Jones, Catherine. "Octaves and the major-minor tonal system".*cnx.com*. Retrieved 3 August 2007. - ^
^{a}^{b}"Hermann von Helmholtz".*The Concise Grove Dictionary of Music*. Oxford University Press. 1994. Retrieved 3 August 2007. - ^
^{a}^{b}^{c}von Helmholtz, Herman (1885) [1863].*On the Sensations of Tone*. Translated by Ellis, A.J. (2nd English ed.). Cosimo. p. 15. ISBN 9781602066397 – via Google Books. - ^
^{a}^{b}Blood, Brian. "Helmholtz".*Dolmetsch Online*. Staffs, clefs & pitch notation. Retrieved 2 August 2007. **^**"1.1.1 Writing pitches".*LilyPond Notation Reference*(2.18.2 ed.). Retrieved 2017-11-08.**^**"Once–accented octave".*Merriam-Webster Dictionary of the English Language*. Retrieved 2017-07-19.

## External links[edit]

- "Staffs, clefs & pitch notation".
*Dolmetsch Music theory online*. - "Octaves and the major-minor tonal system".
*cnx.org*.