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Helmholtz pitch notation
Helmholtz pitch notation is a (now archaic) system for naming musical notes of the Western chromatic scale. Developed by the German scientist Hermann von Helmholtz, it uses a combination of upper and lower case letters (A to G),^{[1]} and the sub and superprime symbols ( ͵ ′ ) to describe 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.^{[2]}
Contents
History
Helmholtz developed this system, inspired by the practice of German organ makers for labelling their pipes, 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).^{[3]} The system is widely used by musicians across Europe and is the one used in the New Grove Dictionary. 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 largely been replaced in American scientific and medical contexts by scientific pitch notation.^{[4]}
Usage
The Helmholtz scale always starts on the note C and ends at B (C, D, E, F, G, A, B). The note C is shown in different octaves by using uppercase letters for low notes, and lowercase letters for high notes, and adding subprimes and primes in the following sequence: 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 upwards from middle C is c'b'.
Each octave may also be given a name based on the "German method" (see below). For example, the octave from c′–b′ is called the oneline octave.^{[2]}
Variations
 The English multiple C notation uses repeated Cs in place of the subprime symbol. Therefore C͵ is rendered as CC.^{[4]}
 The German method replaces the "prime" with a horizontal bar above the letter.^{[4]}
 Primes in subscript (resp. superscript) may be replaced with digits in subscript (resp. superscript) indicating the number of primes (see Article and references on German WP): for example ,,C or C_{2} or _{2}C, c'' or c^{2} (but not ^{2}c).
 A system of pitch designation using uppercase and lowercase letters, commas and apostrophes in a way similar to the Helmholtz pitch notation is used in the ABC music notation system, currently used mainly for Western folk music.
 Scientific pitch notation is a similar system that replaces primes and subprimes with integers. Hence C4 in scientific notation is c′ (middle C).
Staff representation
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 subcontra octave).
See also
References
 ^ The letter B is used in Germany to designate a standard B flat, H is used for B natural.
 ^ ^{a} ^{b} SchmidtJones, Catherine Octaves and the MajorMinor Tonal System. Retrieved on 3 August 2007.
 ^ The Concise Grove Dictionary of Music: Hermann von Helmholtz, Oxford University Press (1994), Answers.com. Retrieved 3 August 2007.
 ^ ^{a} ^{b} ^{c} Blood, Brian. "music theory online: staffs, clefs & pitch notation". Retrieved on 2 August 2007.
External links
 Dolmetsch Music theory online: staffs, clefs & pitch notation
 Octaves and the MajorMinor Tonal System
