Richie's HEJI extensions - Revision history

Richie: adding notation calculator link

2026-05-16T02:12:35Z

adding notation calculator link

← Older revision		Revision as of 02:12, 16 May 2026
Line 82:		Line 82:
	File:Harmonic Series Scales - 002.jpg\|Harmonic series scales from 36:72 to 48:96		File:Harmonic Series Scales - 002.jpg\|Harmonic series scales from 36:72 to 48:96
	</gallery>		</gallery>

			== External links ==

			* [http://notation.richiegreene.com/ notation.richiegreene.com]

	[[Category:Notation]]		[[Category:Notation]]
	[[Category:Helmholtz–Ellis notation]]		[[Category:Helmholtz–Ellis notation]]

Richie: included example where I use these extensions

2025-01-26T05:23:01Z

included example where I use these extensions

← Older revision		Revision as of 05:23, 26 January 2025
Line 1:		Line 1:
	'''Richie's HEJI extensions''' are a set of 9 pairs of accidentals, designed by [[richie]], that extend [[Helmholtz–Ellis notation]]'s accidentals from the [[47-limit]] to the [[89-limit]]. These allow the [[Musical notation\|notation]] of [[just intonation]] intervals with much higher prime factors, which are encountered relatively often with some approaches to JI such as [[primodality]].		'''Richie's HEJI extensions''' are a set of 9 pairs of accidentals, designed by [[richie]], that extend [[Helmholtz–Ellis notation]]'s accidentals from the [[47-limit]] to the [[89-limit]]. These allow the [[Musical notation\|notation]] of [[just intonation]] intervals with much higher prime factors, which are encountered relatively often with some approaches to JI such as [[primodality]] and music making use of [[isoharmonic chords]].

	These accidentals are available as an OpenType font (see [[File:HEJI fonts.zip]])		These accidentals are available as an OpenType font (see [[File:HEJI fonts.zip]])

Richie: /* Gallery */

2025-01-26T00:10:24Z

Gallery

← Older revision		Revision as of 00:10, 26 January 2025
Line 13:		Line 13:
	!cent deviation		!cent deviation
	\|-		\|-
	\|[[File:53o.png\|center\|~~132x132px~~]]		\|[[File:53o.png\|center\|66x66px\|alt=]]
	\|[[File:53u.png\|center\|~~132x132px~~]]		\|[[File:53u.png\|center\|66x66px\|alt=]]
	\|53		\|53
	\|53/54		\|53/54
Line 20:		Line 20:
	\|32.4		\|32.4
	\|-		\|-
	\|[[File:59o.png\|center\|~~142x142px~~]]		\|[[File:59o.png\|center\|71x71px\|alt=]]
	\|[[File:59u.png\|center\|~~142x142px~~]]		\|[[File:59u.png\|center\|71x71px\|alt=]]
	\|59		\|59
	\|236/243		\|236/243
Line 27:		Line 27:
	\|50.6		\|50.6
	\|-		\|-
	\|[[File:61o.png\|center\|~~96x96px~~]]		\|[[File:61o.png\|center\|48x48px\|alt=]]
	\|[[File:61otonal.png\|center\|~~96x96px~~]]		\|[[File:61otonal.png\|center\|48x48px\|alt=]]
	\|61		\|61
	\|244/243		\|244/243
Line 34:		Line 34:
	\|7.1		\|7.1
	\|-		\|-
	\|[[File:67o hejiex copy.jpg\|center\|~~91x91px~~]]		\|[[File:67o hejiex copy.jpg\|center\|46x46px\|alt=]]
	\|[[File:67u hejiex copy.jpg\|center\|~~91x91px~~]]		\|[[File:67u hejiex copy.jpg\|center\|46x46px\|alt=]]
	\|67		\|67
	\|2144/2187		\|2144/2187
Line 41:		Line 41:
	\|34.4		\|34.4
	\|-		\|-
	\|[[File:71o heji extension.png\|center\|~~103x103px~~]]		\|[[File:71o heji extension.png\|center\|52x52px\|alt=]]
	\|[[File:71u heji extension.png\|center\|~~103x103px~~]]		\|[[File:71u heji extension.png\|center\|52x52px\|alt=]]
	\|71		\|71
	\|71/72		\|71/72
Line 48:		Line 48:
	\|24.2		\|24.2
	\|-		\|-
	\|[[File:73u extension 2022.png\|center\|alt=\|~~101x101px~~]]		\|[[File:73u extension 2022.png\|center\|alt=\|51x51px]]
	\|[[File:73o.png.png\|center\|alt=\|~~101x101px~~]]		\|[[File:73o.png.png\|center\|alt=\|51x51px]]
	\|73		\|73
	\|73/72		\|73/72
Line 55:		Line 55:
	\|23.9		\|23.9
	\|-		\|-
	\|[[File:79o.png\|center\|~~120x120px~~]]		\|[[File:79o.png\|center\|60x60px\|alt=]]
	\|[[File:79u.png\|center\|~~120x120px~~]]		\|[[File:79u.png\|center\|60x60px\|alt=]]
	\|79		\|79
	\|79/81		\|79/81
Line 62:		Line 62:
	\|43.3		\|43.3
	\|-		\|-
	\|[[File:83o extension 2022.png\|center\|alt=\|~~131x131px~~]]		\|[[File:83o extension 2022.png\|center\|alt=\|66x66px]]
	\|[[File:83u extension 2022.png\|center\|alt=\|~~124x124px~~]]		\|[[File:83u extension 2022.png\|center\|alt=\|62x62px]]
	\|83		\|83
	\|249/256		\|249/256
Line 69:		Line 69:
	\|48.0		\|48.0
	\|-		\|-
	\|[[File:89o heji extension.png\|center\|~~122x122px~~]]		\|[[File:89o heji extension.png\|center\|61x61px\|alt=]]
	\|[[File:89u heji extension.png\|center\|~~122x122px~~]]		\|[[File:89u heji extension.png\|center\|61x61px\|alt=]]
	\|89		\|89
	\|712/729		\|712/729
Line 79:		Line 79:
	== Gallery ==		== Gallery ==
	<gallery>		<gallery>
	File:~~Heji Extension 2022 Key.png\|Accidental key~~		File:Harmonic Series Scales - 001.jpg\|[[Harmonic series]] scales from 26:52 to 34:68
	~~File:Harmonic_Series_Scales_~~-~~_001~~.jpg\|[[Harmonic series]] scales from 26:52 to 34:68		File:Harmonic Series Scales - 002.jpg\|Harmonic series scales from 36:72 to 48:96
	File:~~Harmonic_Series_Scales_~~-~~_002~~.jpg\|Harmonic series scales from 36:72 to 48:96
	</gallery>		</gallery>

	[[Category:Notation]]		[[Category:Notation]]
	[[Category:Helmholtz–Ellis notation]]		[[Category:Helmholtz–Ellis notation]]

Richie at 00:05, 26 January 2025

2025-01-26T00:05:31Z

← Older revision		Revision as of 00:05, 26 January 2025
Line 13:		Line 13:
	!cent deviation		!cent deviation
	\|-		\|-
	\|		\|[[File:53o.png\|center\|132x132px]]
	\|		\|[[File:53u.png\|center\|132x132px]]
	\|53		\|53
	\|53/54		\|53/54
Line 20:		Line 20:
	\|32.4		\|32.4
	\|-		\|-
	\|		\|[[File:59o.png\|center\|142x142px]]
	\|		\|[[File:59u.png\|center\|142x142px]]
	\|59		\|59
	\|236/243		\|236/243
Line 27:		Line 27:
	\|50.6		\|50.6
	\|-		\|-
	\|		\|[[File:61o.png\|center\|96x96px]]
	\|		\|[[File:61otonal.png\|center\|96x96px]]
	\|61		\|61
	\|244/243		\|244/243
Line 34:		Line 34:
	\|7.1		\|7.1
	\|-		\|-
	\|[[File:67o ~~extension 2022~~.~~png~~\|center]]		\|[[File:67o hejiex copy.jpg\|center\|91x91px]]
	\|[[File:67u ~~extension 2022~~.~~png~~\|center]]		\|[[File:67u hejiex copy.jpg\|center\|91x91px]]
	\|67		\|67
	\|2144/2187		\|2144/2187
Line 41:		Line 41:
	\|34.4		\|34.4
	\|-		\|-
	\|		\|[[File:71o heji extension.png\|center\|103x103px]]
	\|		\|[[File:71u heji extension.png\|center\|103x103px]]
	\|71		\|71
	\|71/72		\|71/72
Line 48:		Line 48:
	\|24.2		\|24.2
	\|-		\|-
	\|[[File:73u extension 2022.png\|center]]		\|[[File:73u extension 2022.png\|center\|alt=\|101x101px]]
	\|[[File:73o.png.png\|center]]		\|[[File:73o.png.png\|center\|alt=\|101x101px]]
	\|73		\|73
	\|73/72		\|73/72
Line 55:		Line 55:
	\|23.9		\|23.9
	\|-		\|-
	\|		\|[[File:79o.png\|center\|120x120px]]
	\|		\|[[File:79u.png\|center\|120x120px]]
	\|79		\|79
	\|79/81		\|79/81
Line 62:		Line 62:
	\|43.3		\|43.3
	\|-		\|-
	\|[[File:83o extension 2022.png\|center]]		\|[[File:83o extension 2022.png\|center\|alt=\|131x131px]]
	\|[[File:83u extension 2022.png\|center]]		\|[[File:83u extension 2022.png\|center\|alt=\|124x124px]]
	\|83		\|83
	\|249/256		\|249/256
Line 69:		Line 69:
	\|48.0		\|48.0
	\|-		\|-
	\|		\|[[File:89o heji extension.png\|center\|122x122px]]
	\|		\|[[File:89u heji extension.png\|center\|122x122px]]
	\|89		\|89
	\|712/729		\|712/729

Richie at 23:09, 25 January 2025

2025-01-25T23:09:02Z

← Older revision		Revision as of 23:09, 25 January 2025
Line 34:		Line 34:
	\|7.1		\|7.1
	\|-		\|-
	\|		\|[[File:67o extension 2022.png\|center]]
	\|		\|[[File:67u extension 2022.png\|center]]
	\|67		\|67
	\|2144/2187		\|2144/2187
Line 48:		Line 48:
	\|24.2		\|24.2
	\|-		\|-
	\|		\|[[File:73u extension 2022.png\|center]]
	\|		\|[[File:73o.png.png\|center]]
	\|73		\|73
	\|73/72		\|73/72
Line 62:		Line 62:
	\|43.3		\|43.3
	\|-		\|-
	\|		\|[[File:83o extension 2022.png\|center]]
	\|		\|[[File:83u extension 2022.png\|center]]
	\|83		\|83
	\|249/256		\|249/256

Richie at 22:00, 25 January 2025

2025-01-25T22:00:44Z

← Older revision		Revision as of 22:00, 25 January 2025
Line 4:		Line 4:

	The harmonic series scales from the gallery below are also available as a Dorico template (see [[File:Harmonic Series Scales.zip]]).		The harmonic series scales from the gallery below are also available as a Dorico template (see [[File:Harmonic Series Scales.zip]]).
			{\| class="wikitable"
			\|+
			!descending
			!ascending
			!prime
			!ratio
			!otonal alteration (±)
			!cent deviation
			\|-
			\|
			\|
			\|53
			\|53/54
			\| -
			\|32.4
			\|-
			\|
			\|
			\|59
			\|236/243
			\| -
			\|50.6
			\|-
			\|
			\|
			\|61
			\|244/243
			\| +
			\|7.1
			\|-
			\|
			\|
			\|67
			\|2144/2187
			\| -
			\|34.4
			\|-
			\|
			\|
			\|71
			\|71/72
			\| -
			\|24.2
			\|-
			\|
			\|
			\|73
			\|73/72
			\| +
			\|23.9
			\|-
			\|
			\|
			\|79
			\|79/81
			\| -
			\|43.3
			\|-
			\|
			\|
			\|83
			\|249/256
			\| -
			\|48.0
			\|-
			\|
			\|
			\|89
			\|712/729
			\| -
			\|40.9
			\|}

	== Gallery ==		== Gallery ==

ArrowHead294 at 19:17, 20 May 2024

2024-05-20T19:17:04Z

← Older revision		Revision as of 19:17, 20 May 2024
Line 1:		Line 1:
	'''Richie's HEJI extensions''' are a set of 9 pairs of accidentals, designed by [[richie]], that extend [[~~Helmholtz-Ellis~~ notation]]'s accidentals from the [[47-limit]] to the [[89-limit]]. These allow the [[Musical notation\|notation]] of [[just intonation]] intervals with much higher prime factors, which are encountered relatively often with some approaches to JI such as [[primodality]].		'''Richie's HEJI extensions''' are a set of 9 pairs of accidentals, designed by [[richie]], that extend [[Helmholtz–Ellis notation]]'s accidentals from the [[47-limit]] to the [[89-limit]]. These allow the [[Musical notation\|notation]] of [[just intonation]] intervals with much higher prime factors, which are encountered relatively often with some approaches to JI such as [[primodality]].

	These accidentals are available as an OpenType font (see [[File:HEJI fonts.zip]])		These accidentals are available as an OpenType font (see [[File:HEJI fonts.zip]])
Line 13:		Line 13:

	[[Category:Notation]]		[[Category:Notation]]
	[[Category:~~Helmholtz-Ellis~~ notation]]		[[Category:Helmholtz–Ellis notation]]

Fredg999: Notation moved to Musical notation

2023-10-04T03:22:08Z

Notation moved to Musical notation

← Older revision		Revision as of 03:22, 4 October 2023
Line 1:		Line 1:
	'''Richie's HEJI extensions''' are a set of 9 pairs of accidentals, designed by [[richie]], that extend [[Helmholtz-Ellis notation]]'s accidentals from the [[47-limit]] to the [[89-limit]]. These allow the [[notation]] of [[just intonation]] intervals with much higher prime factors, which are encountered relatively often with some approaches to JI such as [[primodality]].		'''Richie's HEJI extensions''' are a set of 9 pairs of accidentals, designed by [[richie]], that extend [[Helmholtz-Ellis notation]]'s accidentals from the [[47-limit]] to the [[89-limit]]. These allow the [[Musical notation\|notation]] of [[just intonation]] intervals with much higher prime factors, which are encountered relatively often with some approaches to JI such as [[primodality]].

	These accidentals are available as an OpenType font (see [[File:HEJI fonts.zip]])		These accidentals are available as an OpenType font (see [[File:HEJI fonts.zip]])

Fredg999: Created page with "'''Richie's HEJI extensions''' are a set of 9 pairs of accidentals, designed by richie, that extend Helmholtz-Ellis notation's accidentals from the 47-limit to the..."

2022-12-31T04:56:01Z

Created page with "'''Richie's HEJI extensions''' are a set of 9 pairs of accidentals, designed by richie, that extend Helmholtz-Ellis notation's accidentals from the 47-limit to the..."

New page

'''Richie's HEJI extensions''' are a set of 9 pairs of accidentals, designed by [[richie]], that extend [[Helmholtz-Ellis notation]]'s accidentals from the [[47-limit]] to the [[89-limit]]. These allow the [[notation]] of [[just intonation]] intervals with much higher prime factors, which are encountered relatively often with some approaches to JI such as [[primodality]].

These accidentals are available as an OpenType font (see [[File:HEJI fonts.zip]])

The harmonic series scales from the gallery below are also available as a Dorico template (see [[File:Harmonic Series Scales.zip]]).

== Gallery ==
<gallery>
File:Heji Extension 2022 Key.png|Accidental key
File:Harmonic_Series_Scales_-_001.jpg|[[Harmonic series]] scales from 26:52 to 34:68
File:Harmonic_Series_Scales_-_002.jpg|Harmonic series scales from 36:72 to 48:96
</gallery>

[[Category:Notation]]
[[Category:Helmholtz-Ellis notation]]