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Helmholtz–Ellis notation: Difference between revisions

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Line 47: Line 47:
! rowspan="2" | Harmonic
! rowspan="2" | Harmonic
! rowspan="2" | Just Ratio
! rowspan="2" | Just Ratio
! colspan="2" | 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)
! 2020 version
! 2020 version
! 2004 version
! 2004 version
Line 55: Line 56:
| 1
| 1
| 1/1
| 1/1
| colspan="2" | [[File:HejiC.svg|48x48px]]
| colspan="3" | [[File:HejiC.svg|48x48px]]
| rowspan="2" | Default staff notation represents Pythagorean tuning
| rowspan="3" | Default staff notation represents Pythagorean tuning
|-
|-
| 3
| 3
| 3/2
| 3/2
| colspan="2" | [[File:HejiG.svg|48x48px]]
| colspan="3" | [[File:HejiG.svg|48x48px]]
|-
|-
| 5
| 5
| 5/4
| 5/4
| colspan="2" | [[File:Heji17.svg|54x54px]][[File:HejiE.svg|48x48px]]
| colspan="3" | [[File:Heji17.svg|54x54px]][[File:HejiE.svg|48x48px]]
|  
|  
|-
|-
| 7
| 7
| 7/4
| 7/4
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiB.svg|48x48px]]
| colspan="3" | [[File:Heji37.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiB.svg|48x48px]]
|  
|  
|-
|-
| 9
| 9
| 9/8
| 9/8
| colspan="2" | [[File:HejiD.svg|48x48px]]
| colspan="3" | [[File:HejiD.svg|48x48px]]
| Default staff notation represents Pythagorean tuning
| Default staff notation represents Pythagorean tuning
|-
|-
| 11
| 11
| 11/8
| 11/8
| colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiF.svg|48x48px]]
| colspan="3" | [[File:Heji41.svg|54x54px]][[File:HejiF.svg|48x48px]]
| [[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♯.
| [[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♯.
|-
|-
| 13
| 13
| 13/8
| 13/8
| colspan="2" | [[File:Heji42.svg|54x54px]][[File:HejiA.svg|48x48px]]
| colspan="3" | [[File:Heji42.svg|54x54px]][[File:HejiA.svg|48x48px]]
|  
|  
|-
|-
| 15
| 15
| 15/8
| 15/8
| colspan="2" | [[File:Heji17.svg|54x54px]][[File:HejiB.svg|48x48px]]
| colspan="3" | [[File:Heji17.svg|54x54px]][[File:HejiB.svg|48x48px]]
|  
|  
|-
|-
| 17
| 17
| 17/16
| 17/16
| [[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<br />in the 2020 version by Plainsound Music Edition
| Definition of the accidental is revised from 256/255 to 2187/2176<br />in the 2020 version by Plainsound Music Edition
Line 100: Line 101:
| 19
| 19
| 19/16
| 19/16
| colspan="2" | [[File:Heji47.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiE.svg|48x48px]]
| colspan="3" | [[File:Heji47.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiE.svg|48x48px]]
|  
|  
|-
|-
| 21
| 21
| 21/16
| 21/16
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:HejiF.svg|48x48px]]
| colspan="3" | [[File:Heji37.svg|54x54px]][[File:HejiF.svg|48x48px]]
|  
|  
|-
|-
| 23
| 23
| 23/16
| 23/16
| colspan="2" | [[File:Heji49.svg|54x54px]][[File:Heji25.svg|48x48px]][[File:HejiF.svg|48x48px]]
| colspan="3" | [[File:Heji49.svg|54x54px]][[File:Heji25.svg|48x48px]][[File:HejiF.svg|48x48px]]
|  
|  
|-
|-
| 25
| 25
| 25/16
| 25/16
| colspan="2" | [[File:Heji23.svg|54x54px]][[File:HejiG.svg|48x48px]]
| colspan="3" | [[File:Heji23.svg|54x54px]][[File:HejiG.svg|48x48px]]
|  
|  
|-
|-
| 27
| 27
| 27/16
| 27/16
| colspan="2" | [[File:HejiA.svg|48x48px]]
| colspan="3" | [[File:HejiA.svg|48x48px]]
| Default staff notation represents Pythagorean tuning
| Default staff notation represents Pythagorean tuning
|-
|-
| 29
| 29
| 29/16
| 29/16
| [[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<br />in the 2020 version by Plainsound Music Edition
| Definition of the accidental is revised from 145/144 to 261/256<br />in the 2020 version by Plainsound Music Edition
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| 31
| 31
| 31/16
| 31/16
| [[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<br />in the 2020 version by Plainsound Music Edition
| Definition of the accidental is revised from 1024/1023 to 32/31<br />in the 2020 version by Plainsound Music Edition
Line 137: Line 138:
| 33
| 33
| 33/32
| 33/32
| colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiC.svg|48x48px]]
| colspan="3" | [[File:Heji41.svg|54x54px]][[File:HejiC.svg|48x48px]]
|  
|  
|-
|-
| 35
| 35
| 35/32
| 35/32
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:Heji17.svg|54x54px]][[File:HejiD.svg|48x48px]]
| colspan="3" | [[File:Heji37.svg|54x54px]][[File:Heji17.svg|54x54px]][[File:HejiD.svg|48x48px]]
|  
|  
|-
|-
| 37
| 37
| 37/32
| 37/32
| [[File:HejiaccidentalCombiningRaise37Quartertone.svg|48x48px]][[File:HejiD.svg|48x48px]]
| colspan="2" | [[File:HejiaccidentalCombiningRaise37Quartertone.svg|48x48px]][[File:HejiD.svg|48x48px]]
| (todo)
| -
|  
|  
|-
|-
| 39
| 39
| 39/32
| 39/32
| [[File:Heji42.svg|54x54px]][[File:HejiE.svg|48x48px]]
| colspan="2" | [[File:Heji42.svg|54x54px]][[File:HejiE.svg|48x48px]]
| (todo)
| -
|  
|  
|-
|-
| 41
| 41
| 41/32
| 41/32
| [[File:HejiaccidentalCombiningRaise41Comma.svg|48x48px]][[File:HejiE.svg|48x48px]]
| colspan="2" | [[File:HejiaccidentalCombiningRaise41Comma.svg|48x48px]][[File:HejiE.svg|48x48px]]
| (todo)
| -
|  
|  
|-
|-
| 43
| 43
| 43/32
| 43/32
| [[File:HejiaccidentalCombiningRaise43Comma.svg|48x48px]][[File:HejiF.svg|48x48px]]
| colspan="2" | [[File:HejiaccidentalCombiningRaise43Comma.svg|48x48px]][[File:HejiF.svg|48x48px]]
| (todo)
| -
|  
|  
|-
|-
| 45
| 45
| 45/32
| 45/32
| colspan="2" | [[File:Heji24.svg|54x54px]][[File:HejiF.svg|48x48px]]
| colspan="3" | [[File:Heji24.svg|54x54px]][[File:HejiF.svg|48x48px]]
|  
|  
|-
|-
| 47
| 47
| 47/32
| 47/32
| [[File:HejiLowerByOne47limitSixthtone.png|24x36px]][[File:HejiG.svg|48x48px]]
| [[File:HejiaccidentalCombiningRaise47Quartertone.svg|48x48px]][[File:Heji25.svg|54x54px]][[File:HejiF.svg|48x48px]]
| [[File:HejiaccidentalCombiningRaise47Quartertone.svg|48x48px]][[File:Heji25.svg|54x54px]][[File:HejiF.svg|48x48px]]
| (todo)
| -
| Pre-March 2025 notation, where [[File:HejiaccidentalCombiningRaise47Quartertone.svg|48x48px]] represents [[752/729]]
| Pre-March 2025 notation, where [[File:HejiaccidentalCombiningRaise47Quartertone.svg|48x48px]] represents [[752/729]], in the update March 2025 of version 2022, [[File:HejiRaiseByOne47limitSixthtone.png|24x36px]] represents [[48/47]]
|}
|}


Line 251: Line 253:
File:HejiaccidentalCombiningLower47Quartertone.svg | Combining lower by one 47-limit quartertone
File:HejiaccidentalCombiningLower47Quartertone.svg | Combining lower by one 47-limit quartertone
File:HejiaccidentalCombiningRaise47Quartertone.svg | Combining raise by one 47-limit quartertone
File:HejiaccidentalCombiningRaise47Quartertone.svg | Combining raise by one 47-limit quartertone
File:HejiRaiseByOne47limitSixthtone.png | Raise by one 47-limit Sixthtone (update 03.2025)
File:HejiLowerByOne47limitSixthtone.png | Lower by one 47-limit Sixthtone (update 03.2025)
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</gallery></div>


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