Helmholtz–Ellis notation
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The Helmholtz–Ellis JI pitch notation (HEJI) is a musical notation system for just intonation intervals up to the 47-limit. It consists of a set of accidentals defined by formal commas for each prime harmonic.
Further accidentals were designed by richie for primes up to the 89-limit; see richie's HEJI extensions.
Introductory materials
- The Helmholtz–Ellis JI Pitch Notation (HEJI) by Marc Sabat and Thomas Nicholson from Plainsound Music Edition – 2020 version with revised symbols for primes up to 47 entirely based on alterations of Pythagorean notes
- Extended Helmholtz–Ellis JI Pitch Notation by Marc Sabat and Wolfgang von Schweinitz from Plainsound Music Edition – deprecated[1] 2004 version
Quick reference
Below is a quick guide to the accidentals and commas used in Helmholtz–Ellis notation.
Prime | Formal Comma |
---|---|
5 | 81/80 |
7 | 64/63 |
11 | 33/32 |
13 | 27/26 |
17 | 2187/2176 |
19 | 513/512 |
23 | 736/729 |
29 | 261/256 |
31 | 32/31 |
37 | 37/36 |
41 | 82/81 |
43 | 129/128 |
47 | 752/729 |
Helmholtz–Ellis glyphs
External links
- HEWM Notation (Helmholtz-Ellis-Wolf-Monzo) – Tonalsoft enyclopedia of microtonal music theory
- Plainsound Harmonic Space Calculator
See also
- Functional Just System (FJS) – a logical notation system for the entirety of just intonation
- Ben Johnston's notation