Helmholtz–Ellis notation: Difference between revisions
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The '''Helmholtz | 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 commas 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]]. | ||
== Introductory materials == | == Introductory materials == | ||
* [https://heji.plainsound.org/ The Helmholtz | * [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 | * [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>See [https://masa.plainsound.org/work.html#writing Marc Sabat : Music & Writings]. </ref> 2004 version | ||
== Quick reference == | == Quick reference == | ||
Below is a quick guide to the accidentals and commas used in Helmholtz | Below is a quick guide to the accidentals and commas used in Helmholtz-Ellis notation. | ||
{| class="wikitable center-all" style="margin: auto auto auto auto;" | {| class="wikitable center-all" style="margin: auto auto auto auto;" | ||
| Line 39: | Line 39: | ||
| [[43-limit|43]] || [[129/128]] | | [[43-limit|43]] || [[129/128]] | ||
|- | |- | ||
| [[47-limit|47]] || [[752/729]], [[48/47]]<ref>The recent March 2025 revision of HEJI changed the 47 comma from [[752/729]] to [[48/47]], which has yet to gain popular support. See [https://heji.plainsound.org The Helmholtz | | [[47-limit|47]] || [[752/729]], [[48/47]]<ref>The recent March 2025 revision of HEJI changed the 47 comma 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> | ||
|} | |} | ||
{| class="wikitable sortable center-all left-5" style="margin: auto auto auto auto;" | {| class="wikitable sortable center-all left-5" style="margin: auto auto auto auto;" | ||
| Line 97: | Line 97: | ||
| colspan="2" | [[File:Heji44.svg|54x54px]][[File:Heji25.svg|54x54px]][[File:HejiC.svg|48x48px]] | | colspan="2" | [[File:Heji44.svg|54x54px]][[File:Heji25.svg|54x54px]][[File:HejiC.svg|48x48px]] | ||
| [[File:Heji44.svg|54x54px]][[File:Heji12.svg|54x54px]][[File:HejiD.svg|48x48px]] | | [[File:Heji44.svg|54x54px]][[File:Heji12.svg|54x54px]][[File:HejiD.svg|48x48px]] | ||
| Definition of the accidental is revised from 256/255 to 2187/2176 | | Definition of the accidental is revised from 256/255 to 2187/2176 in the 2020 version by Plainsound Music Edition | ||
|- | |- | ||
| 19 | | 19 | ||
| Line 128: | Line 128: | ||
| colspan="2" | [[File:HejiaccidentalCombiningRaise29LimitComma.svg|48x48px]][[File:Heji11.svg|54x54px]][[File:HejiB.svg|48x48px]] | | colspan="2" | [[File:HejiaccidentalCombiningRaise29LimitComma.svg|48x48px]][[File:Heji11.svg|54x54px]][[File:HejiB.svg|48x48px]] | ||
| [[File:Heji51.svg|54x54px]][[File:Heji12.svg|54x54px]][[File:HejiB.svg|48x48px]] | | [[File:Heji51.svg|54x54px]][[File:Heji12.svg|54x54px]][[File:HejiB.svg|48x48px]] | ||
| Definition of the accidental is revised from 145/144 to 261/256 | | Definition of the accidental is revised from 145/144 to 261/256 in the 2020 version by Plainsound Music Edition | ||
|- | |- | ||
| 31 | | 31 | ||
| Line 134: | Line 134: | ||
| colspan="2" | [[File:Heji52.svg|54x54px]][[File:HejiC.svg|48x48px]] | | colspan="2" | [[File:Heji52.svg|54x54px]][[File:HejiC.svg|48x48px]] | ||
| [[File:HejiaccidentalCombiningLower31SchismaOld.svg|48x48px]][[File:Heji40.svg|54x54px]][[File:HejiC.svg|48x48px]] | | [[File:HejiaccidentalCombiningLower31SchismaOld.svg|48x48px]][[File:Heji40.svg|54x54px]][[File:HejiC.svg|48x48px]] | ||
| Definition of the accidental is revised from 1024/1023 to 32/31 | | Definition of the accidental is revised from 1024/1023 to 32/31 in the 2020 version by Plainsound Music Edition | ||
|- | |- | ||
| 33 | | 33 | ||
| Line 183: | Line 183: | ||
|} | |} | ||
== Helmholtz-Ellis glyphs == | |||
== Helmholtz | |||
<div style="margin: auto auto auto auto;"> | <div style="margin: auto auto auto auto;"> | ||
<gallery> | <gallery> | ||
| Line 258: | Line 256: | ||
== External links == | == External links == | ||
* [http://tonalsoft.com/enc/h/hewm.aspx HEWM Notation (Helmholtz-Ellis-Wolf-Monzo)] | * [http://tonalsoft.com/enc/h/hewm.aspx HEWM Notation (Helmholtz-Ellis-Wolf-Monzo)] - Tonalsoft enyclopedia of microtonal music theory | ||
* [https://hejicalc.plainsound.org/ Plainsound Harmonic Space Calculator] | * [https://hejicalc.plainsound.org/ Plainsound Harmonic Space Calculator] | ||
* [https://w3c.github.io/smufl/latest/tables/extended-helmholtz-ellis-accidentals-just-intonation-supplement.html/ Glyphs in smufl] | |||
== See also == | == See also == | ||