Helmholtz–Ellis notation: Difference between revisions
m Misc. cleanup |
|||
| Line 1: | Line 1: | ||
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 [[ | 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 [[nominal-accidental chain|accidentals]] defined by [[formal comma]]s for each [[prime harmonic]]. | ||
Further accidentals were designed by [[richie]] for primes up to the [[89-limit]]; see [[richie's HEJI extensions]]. | Further accidentals were designed by [[richie]] for primes up to the [[89-limit]]; see [[richie's HEJI extensions]]. | ||
| Line 5: | Line 5: | ||
== Introductory materials == | == Introductory materials == | ||
* [https://heji.plainsound.org/ 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 | * [https://heji.plainsound.org/ 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 | ||
* [http://www.plainsound.org/pdfs/ji_notation.pdf Extended Helmholtz–Ellis JI Pitch Notation] by Marc Sabat and Wolfgang von Schweinitz from Plainsound Music Edition – deprecated<ref> | * [http://www.plainsound.org/pdfs/ji_notation.pdf Extended Helmholtz–Ellis JI Pitch Notation] by Marc Sabat and Wolfgang von Schweinitz from Plainsound Music Edition – deprecated<ref>[https://masa.plainsound.org/work.html#writing Marc Sabat : Music & Writings].</ref> 2004 version | ||
== Quick reference == | == Quick reference == | ||
| Line 39: | Line 39: | ||
| [[43-limit|43]] || [[129/128]] | | [[43-limit|43]] || [[129/128]] | ||
|- | |- | ||
| [[47-limit|47]] || [[48/47]]<ref> | | [[47-limit|47]] || [[48/47]]<ref group="note" name="v2025">In the recent March 2025 revision of HEJI, the 47 comma was changed from [[752/729]] to [[48/47]], which has yet to gain popular support. See [https://heji.plainsound.org The Helmholtz–Ellis JI Pitch Notation (HEJI)].</ref> | ||
|} | |} | ||
| Line 46: | Line 46: | ||
|- | |- | ||
! rowspan="2" | Harmonic | ! rowspan="2" | Harmonic | ||
! rowspan="2" | [[Octave reduced]] | ! rowspan="2" | [[Octave reduced]] ratio | ||
! colspan="3" | Notation (assuming 1/1 is C) | ! colspan="3" | Notation (assuming 1/1 is C) | ||
! rowspan="2" | Comments | ! rowspan="2" | Comments | ||
|- | |- | ||
! 2020 version | ! New 2020 version<ref group="note" name="v2025"/> | ||
! 2020 version | ! Old 2020 version | ||
! 2004 version | ! 2004 version | ||
|- | |- | ||
| Line 273: | Line 273: | ||
== Notes == | == Notes == | ||
<references /> | <references group="note"/> | ||
== References == | |||
<references/> | |||
{{Navbox notation}} | {{Navbox notation}} | ||