Helmholtz–Ellis notation - Revision history

FloraC: - duplicate

2025-12-27T17:24:14Z

- duplicate

← Older revision		Revision as of 17:24, 27 December 2025
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	\| 27/16		\| 27/16
	\| colspan="3" \| [[File:HejiA.svg\|48x48px]]		\| colspan="3" \| [[File:HejiA.svg\|48x48px]]
	\| ~~style="text-align: left"; \| Default staff notation represents Pythagorean tuning~~		\|
	\|-		\|-
	\| 29		\| 29

FloraC: "Default staff notation represents Pythagorean tuning." This is so fundamental that it should be in the intro

2025-12-27T17:23:40Z

"Default staff notation represents Pythagorean tuning." This is so fundamental that it should be in the intro

← Older revision		Revision as of 17:23, 27 December 2025
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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 [[nominal-accidental chain\|accidentals]] defined by [[formal comma]]s ~~for~~ each [[prime harmonic]].		The '''Helmholtz–Ellis JI pitch notation''' ('''HEJI''') is a [[musical notation]] system for [[just intonation]] intervals up to the [[47-limit]]. Based on [[chain-of-fifths notation]] with default staff notation representing [[Pythagorean tuning]], it adds a set of [[nominal-accidental chain\|accidentals]] defined by [[formal comma]]s to reach 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]].
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	\| 1/1		\| 1/1
	\| colspan="3" \| [[File:HejiC.svg\|48x48px]]		\| colspan="3" \| [[File:HejiC.svg\|48x48px]]
	\| ~~rowspan="2" style="text-align: left"; \| Default staff notation represents Pythagorean tuning~~		\|
	\|-		\|-
	\| 3		\| 3
	\| 3/2		\| 3/2
	\| colspan="3" \| [[File:HejiG.svg\|48x48px]]		\| colspan="3" \| [[File:HejiG.svg\|48x48px]]
			\|
	\|-		\|-
	\| 5		\| 5
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	\| 9/8		\| 9/8
	\| colspan="3" \| [[File:HejiD.svg\|48x48px]]		\| colspan="3" \| [[File:HejiD.svg\|48x48px]]
	\| style="text-align: left"; \| ~~Default staff notation represents Pythagorean tuning~~		\| style="text-align: left"; \|
	\|-		\|-
	\| 11		\| 11
	\| 11/8		\| 11/8
	\| colspan="3" \| [[File:Heji41.svg\|54x54px]][[File:HejiF.svg\|48x48px]]		\| colspan="3" \| [[File:Heji41.svg\|54x54px]][[File:HejiF.svg\|48x48px]]
	\| style="text-align: left"; \| [[File:Heji41.svg\|54x54px]] is ''not'' a half-sharp, as [[File:Heji41.svg\|54x54px]][[File:Heji41.svg\|54x54px]]F is [[243/242~~\|7.1¢~~]] flatter than ~~F♯~~.		\| style="text-align: left"; \| [[File:Heji41.svg\|54x54px]] is ''not'' a half-sharp, as [[File:Heji41.svg\|54x54px]][[File:Heji41.svg\|54x54px]]F is [[243/242]] flatter than F♯.
	\|-		\|-
	\| 13		\| 13

FloraC: Misc. cleanup

2025-12-27T17:18:38Z

Misc. cleanup

← Older revision		Revision as of 17:18, 27 December 2025
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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 [[~~Nominal~~-accidental chain\|accidentals]] defined by formal ~~commas~~ for each [[prime harmonic]].		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]].
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	== 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>~~See~~ [https://masa.plainsound.org/work.html#writing Marc Sabat : Music & Writings].</ref> 2004 version		* [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 ==
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	\| [[43-limit\|43]] \|\| [[129/128]]		\| [[43-limit\|43]] \|\| [[129/128]]
	\|-		\|-
	\| [[47-limit\|47]] \|\| [[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>		\| [[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>
	\|}		\|}

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	\|-		\|-
	! rowspan="2" \| Harmonic		! rowspan="2" \| Harmonic
	! rowspan="2" \| [[Octave reduced]] ~~Ratio~~		! 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 ~~(update 03.2025)~~		! New 2020 version<ref group="note" name="v2025"/>
	! 2020 version		! Old 2020 version
	! 2004 version		! 2004 version
	\|-		\|-
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	== Notes ==		== Notes ==
	<references />		<references group="note"/>

			== References ==
			<references/>

	{{Navbox notation}}		{{Navbox notation}}

Jdood: /* Quick reference */

2025-12-13T18:19:00Z

Quick reference

← Older revision		Revision as of 18:19, 13 December 2025
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	\|-		\|-
	! rowspan="2" \| Harmonic		! rowspan="2" \| Harmonic
	! rowspan="2" \| ~~Just~~ Ratio		! 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

ArrowHead294 at 18:03, 6 November 2025

2025-11-06T18:03:31Z

← Older revision		Revision as of 18:03, 6 November 2025
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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 [[Nominal-accidental chain\|accidentals]] defined by formal commas for each [[prime harmonic]].		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]].
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>See [https://masa.plainsound.org/work.html#writing Marc Sabat : Music & Writings]. </ref> 2004 version		* [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 ==

TromboneBoi9: Extended 39/32 notation to 2004 version on table

2025-09-16T02:38:29Z

Extended 39/32 notation to 2004 version on table

← Older revision		Revision as of 02:38, 16 September 2025
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	\| 39		\| 39
	\| 39/32		\| 39/32
	\| colspan="2" \| [[File:Heji42.svg\|54x54px]][[File:HejiE.svg\|48x48px]]		\| colspan="3" \| [[File:Heji42.svg\|54x54px]][[File:HejiE.svg\|48x48px]]
	~~\| -~~
	\|		\|
	\|-		\|-

FloraC: Split old/deprecated symbols from current ones for clarity. Misc. clenup

2025-07-12T13:19:47Z

Split old/deprecated symbols from current ones for clarity. Misc. clenup

Show changes

Flirora: fix link

2025-07-12T04:27:17Z

fix link

← Older revision		Revision as of 04:27, 12 July 2025
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	* [http://tonalsoft.com/enc/h/hewm.aspx HEWM Notation (Helmholtz-Ellis-Wolf-Monzo)] - Tonalsoft enyclopedia of microtonal music theory		* [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]		* [https://w3c.github.io/smufl/latest/tables/extended-helmholtz-ellis-accidentals-just-intonation-supplement.html Glyphs in smufl]

	== See also ==		== See also ==

FilterNashi: /* Quick reference */

2025-06-21T05:29:58Z

Quick reference

← Older revision		Revision as of 05:29, 21 June 2025
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	\| 1/1		\| 1/1
	\| colspan="3" \| [[File:HejiC.svg\|48x48px]]		\| colspan="3" \| [[File:HejiC.svg\|48x48px]]
	\| rowspan="3" \| Default staff notation represents Pythagorean tuning		\| rowspan="2" \| Default staff notation represents Pythagorean tuning
	\|-		\|-
	\| 3		\| 3

FilterNashi: /* Quick reference */

2025-06-21T05:28:45Z

Quick reference

← Older revision		Revision as of 05:28, 21 June 2025
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	\| [[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-Ellis JI Pitch Notation (HEJI)].</ref>		\| [[47-limit\|47]] \|\| [[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>
	\|}		\|}

← Older revision		Revision as of 18:19, 13 December 2025
Line 46:		Line 46:
	\|-		\|-
	! rowspan="2" \| Harmonic		! rowspan="2" \| Harmonic
	! rowspan="2" \| ~~Just~~ Ratio		! 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