Richie's HEJI extensions: Difference between revisions

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-'''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]])
 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
+|-
+|[[File:53o.png|center|66x66px|alt=]]
+|[[File:53u.png|center|66x66px|alt=]]
+|53
+|53/54
+| -
+|32.4
+|-
+|[[File:59o.png|center|71x71px|alt=]]
+|[[File:59u.png|center|71x71px|alt=]]
+|59
+|236/243
+| -
+|50.6
+|-
+|[[File:61o.png|center|48x48px|alt=]]
+|[[File:61otonal.png|center|48x48px|alt=]]
+|61
+|244/243
+| +
+|7.1
+|-
+|[[File:67o hejiex copy.jpg|center|46x46px|alt=]]
+|[[File:67u hejiex copy.jpg|center|46x46px|alt=]]
+|67
+|2144/2187
+| -
+|34.4
+|-
+|[[File:71o heji extension.png|center|52x52px|alt=]]
+|[[File:71u heji extension.png|center|52x52px|alt=]]
+|71
+|71/72
+| -
+|24.2
+|-
+|[[File:73u extension 2022.png|center|alt=|51x51px]]
+|[[File:73o.png.png|center|alt=|51x51px]]
+|73
+|73/72
+| +
+|23.9
+|-
+|[[File:79o.png|center|60x60px|alt=]]
+|[[File:79u.png|center|60x60px|alt=]]
+|79
+|79/81
+| -
+|43.3
+|-
+|[[File:83o extension 2022.png|center|alt=|66x66px]]
+|[[File:83u extension 2022.png|center|alt=|62x62px]]
+|83
+|249/256
+| -
+|48.0
+|-
+|[[File:89o heji extension.png|center|61x61px|alt=]]
+|[[File:89u heji extension.png|center|61x61px|alt=]]
+|89
+|712/729
+| -
+|40.9
+|}
 == 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>
+== External links ==
+* [http://notation.richiegreene.com/ notation.richiegreene.com]
 [[Category:Notation]]
 [[Category:Helmholtz–Ellis notation]]