Helmholtz–Ellis notation: Difference between revisions

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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]].

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| colspan="3" | [[File:HejiC.svg|48x48px]]

| ~~rowspan="2" style="text-align: left"; | Default staff notation represents Pythagorean tuning~~

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| 3

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| colspan="3" | [[File:HejiG.svg|48x48px]]

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| colspan="3" | [[File:HejiD.svg|48x48px]]

| style="text-align: left"; | ~~Default staff notation represents Pythagorean tuning~~

| style="text-align: left"; |

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| colspan="3" | [[File:Heji41.svg|54x54px]][[File:HejiF.svg|48x48px]]

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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]].
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 | 1/1
 | colspan="3" | [[File:HejiC.svg|48x48px]]
-| rowspan="2" style="text-align: left"; | Default staff notation represents Pythagorean tuning
+|
 |-
 | 3
 | 3/2
 | colspan="3" | [[File:HejiG.svg|48x48px]]
+|
 |-
 | 5
@@ Line 76: / Line 77: @@
 | 9/8
 | colspan="3" | [[File:HejiD.svg|48x48px]]
-| style="text-align: left"; | Default staff notation represents Pythagorean tuning
+| style="text-align: left"; |
 |-
 | 11
 | 11/8
 | 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&#x266F;.
+| 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