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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][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]

The English multiple-letter notation uses repeated Cs in place of the sub-prime symbol. Therefore is rendered as CC  ; C͵͵ as CCC  ; etc. This has notation has appeared in some part names for contrabass instruments, for example, the "CC Contrabass Tuba" or the "BB♭ Contrabass Clarinet".

[4]

The English strokes notation replaces subscript-primes with underlines and superscript primes with overlines: C͵͵ is rendered as  ; as C ; c as 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 C2 or 2C, c″ or c2 (but not 2c).[e]

[d]

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 .[f]

ABC notation

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 and C respectively.[5]

LilyPond

Scientific pitch notation

. Dolmetsch Music theory online.

"Staffs, clefs & pitch notation"

. cnx.org.

"Octaves and the major-minor tonal system"