# Helmholtz-Ellis notation

(Redirected from HEJI)

## Contents

## 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

## Helmholtz-Ellis glyphs

*Todo: update the 29-limit comma.*

## Quick reference

### Formal commas

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 |

### Prime harmonics

## 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
- Other notation systems: http://lumma.org/music/theory/notation/