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), 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. 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). 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. 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. 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′.