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Helmholtz–Ellis notation: Difference between revisions

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=== Odd harmonics ===
=== Odd harmonics ===
{| class="wikitable sortable center-all left-5"
{| class="wikitable sortable center-all"
! rowspan="2" | Harmonic
! rowspan="2" | Harmonic
! rowspan="2" | Just Ratio
! rowspan="2" | Just Ratio
! colspan="2" | Notation (assuming 1/1 is C)
! colspan="2" | Notation with C as root
! colspan="2" | Notation with A as root
! rowspan="2" | Comments
! rowspan="2" | Comments
|-
|-
! 2020 version
! 2004 version
! 2020 version
! 2020 version
! 2004 version
! 2004 version
Line 66: Line 69:
| 1/1
| 1/1
| colspan="2" | [[File:HejiC.svg|48x48px]]
| colspan="2" | [[File:HejiC.svg|48x48px]]
| colspan="2" | [[File:HejiA.svg|48x48px]]
| rowspan="2" | Default staff notation represents Pythagorean tuning
| rowspan="2" | Default staff notation represents Pythagorean tuning
|-
|-
Line 71: Line 75:
| 3/2
| 3/2
| colspan="2" | [[File:HejiG.svg|48x48px]]
| colspan="2" | [[File:HejiG.svg|48x48px]]
| colspan="2" | [[File:HejiE.svg|48x48px]]
|-
|-
| 5
| 5
| 5/4
| 5/4
| colspan="2" | [[File:Heji17.svg|54x54px]][[File:HejiE.svg|48x48px]]
| colspan="2" | [[File:Heji17.svg|54x54px]][[File:HejiE.svg|48x48px]]
| colspan="2" | [[File:Heji24.svg|54x54px]][[File:HejiC.svg|48x48px]]
|  
|  
|-
|-
Line 80: Line 86:
| 7/4
| 7/4
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiB.svg|48x48px]]
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiB.svg|48x48px]]
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:HejiG.svg|48x48px]]
|  
|  
|-
|-
Line 85: Line 92:
| 9/8
| 9/8
| colspan="2" | [[File:HejiD.svg|48x48px]]
| colspan="2" | [[File:HejiD.svg|48x48px]]
| colspan="2" | [[File:HejiB.svg|48x48px]]
| Default staff notation represents Pythagorean tuning
| Default staff notation represents Pythagorean tuning
|-
|-
Line 90: Line 98:
| 11/8
| 11/8
| colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiF.svg|48x48px]]
| colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiF.svg|48x48px]]
| colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiD.svg|48x48px]]
|  
|  
|-
|-
Line 95: Line 104:
| 13/8
| 13/8
| colspan="2" | [[File:Heji42.svg|54x54px]][[File:HejiA.svg|48x48px]]
| colspan="2" | [[File:Heji42.svg|54x54px]][[File:HejiA.svg|48x48px]]
| colspan="2" | [[File:Heji42.svg|54x54px]][[File:Heji25.svg|54x54px]][[File:HejiF.svg|48x48px]]
|  
|  
|-
|-
Line 100: Line 110:
| 15/8
| 15/8
| colspan="2" | [[File:Heji17.svg|54x54px]][[File:HejiB.svg|48x48px]]
| colspan="2" | [[File:Heji17.svg|54x54px]][[File:HejiB.svg|48x48px]]
| colspan="2" | [[File:Heji24.svg|54x54px]][[File:HejiG.svg|48x48px]]
|  
|  
|-
|-
Line 106: Line 117:
| [[File:Heji44.svg|54x54px]][[File:Heji25.svg|54x54px]][[File:HejiC.svg|48x48px]]
| [[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]]
| [[File:Heji44.svg|54x54px]][[File:Heji25.svg|54x54px]][[File:HejiA.svg|48x48px]]
| [[File:Heji44.svg|54x54px]][[File:Heji12.svg|54x54px]][[File:HejiB.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 111: Line 124:
| 19/16
| 19/16
| colspan="2" | [[File:Heji47.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiE.svg|48x48px]]
| colspan="2" | [[File:Heji47.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiE.svg|48x48px]]
| colspan="2" | [[File:Heji47.svg|54x54px]][[File:HejiC.svg|48x48px]]
|  
|  
|-
|-
Line 116: Line 130:
| 21/16
| 21/16
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:HejiF.svg|48x48px]]
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:HejiF.svg|48x48px]]
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:HejiD.svg|48x48px]]
|  
|  
|-
|-
| 23
| 23
| 23/16
| 23/16
| colspan="2" | [[File:Heji49.svg|54x54px]][[File:Heji25.svg|48x48px]][[File:HejiF.svg|48x48px]]
| colspan="2" | [[File:Heji49.svg|54x54px]][[File:Heji25.svg|54x54px]][[File:HejiF.svg|48x48px]]
| colspan="2" | [[File:Heji49.svg|54x54px]][[File:Heji25.svg|54x54px]][[File:HejiD.svg|48x48px]]
|  
|  
|-
|-
Line 126: Line 142:
| 25/16
| 25/16
| colspan="2" | [[File:Heji23.svg|54x54px]][[File:HejiG.svg|48x48px]]
| colspan="2" | [[File:Heji23.svg|54x54px]][[File:HejiG.svg|48x48px]]
| colspan="2" | [[File:Heji23.svg|54x54px]][[File:HejiE.svg|48x48px]]
|  
|  
|-
|-
Line 131: Line 148:
| 27/16
| 27/16
| colspan="2" | [[File:HejiA.svg|48x48px]]
| colspan="2" | [[File:HejiA.svg|48x48px]]
| colspan="2" | [[File:Heji25.svg|54x54px]][[File:HejiF.svg|48x48px]]
| Default staff notation represents Pythagorean tuning
| Default staff notation represents Pythagorean tuning
|-
|-
Line 136: Line 154:
| 29/16
| 29/16
| (todo)
| (todo)
| [[File:Heji51.svg|48x48px]][[File:Heji12.svg|48x48px]][[File:HejiB.svg|48x48px]]
| [[File:Heji51.svg|54x54px]][[File:Heji12.svg|54x54px]][[File:HejiB.svg|48x48px]]
| (todo)
| [[File:Heji51.svg|54x54px]][[File:Heji19.svg|54x54px]][[File:HejiG.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
|-
|-
| 31
| 31
| 31/16
| 31/16
| [[File:Heji52.svg|48x48px]][[File:HejiC.svg|48x48px]]
| [[File:Heji52.svg|54x54px]][[File:HejiC.svg|48x48px]]
| (todo)
| [[File:Heji52.svg|54x54px]][[File:HejiA.svg|48x48px]]
| (todo)
| (todo)
| 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 148: Line 170:
| 33/32
| 33/32
| colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiC.svg|48x48px]]
| colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiC.svg|48x48px]]
| colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiA.svg|48x48px]]
|  
|  
|-
|-
Line 153: Line 176:
| 35/32
| 35/32
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:Heji17.svg|54x54px]][[File:HejiD.svg|48x48px]]
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:Heji17.svg|54x54px]][[File:HejiD.svg|48x48px]]
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:Heji17.svg|54x54px]][[File:HejiB.svg|48x48px]]
|-
|-
| 37
| 37
| 37/32
| 37/32
| (todo)
| (todo)
| (todo)
| (todo)
| (todo)
| (todo)
Line 163: Line 189:
| 39/32
| 39/32
| colspan="2" | [[File:Heji42.svg|54x54px]][[File:HejiE.svg|48x48px]]
| colspan="2" | [[File:Heji42.svg|54x54px]][[File:HejiE.svg|48x48px]]
| colspan="2" | [[File:Heji42.svg|54x54px]][[File:Heji25.svg|54x54px]][[File:HejiC.svg|48x48px]]
|  
|  
|-
|-
| 41
| 41
| 41/32
| 41/32
| (todo)
| (todo)
| (todo)
| (todo)
| (todo)
| (todo)
Line 173: Line 202:
| 43
| 43
| 43/32
| 43/32
| (todo)
| (todo)
| (todo)
| (todo)
| (todo)
| (todo)
Line 180: Line 211:
| 45/32
| 45/32
| colspan="2" | [[File:Heji24.svg|54x54px]][[File:HejiF.svg|48x48px]]
| colspan="2" | [[File:Heji24.svg|54x54px]][[File:HejiF.svg|48x48px]]
| colspan="2" | [[File:Heji24.svg|54x54px]][[File:HejiD.svg|48x48px]]
|  
|  
|-
|-
| 47
| 47
| 47/32
| 47/32
| (todo)
| (todo)
| (todo)
| (todo)
| (todo)
| (todo)
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