Helmholtz–Ellis notation
Helmholtz-Ellis glyphs
-
Double flat lowered by three syntonic commas -
Double flat lowered by two syntonic commas -
Double flat lowered by one syntonic comma -
Double flat -
Double flat raised by one syntonic comma -
Double flat raised by two syntonic commas -
Double flat raised by three syntonic commas -
Flat lowered by three syntonic commas -
Flat lowered by two syntonic commas -
Flat lowered by one syntonic comma -
Flat -
Flat raised by one syntonic comma -
Flat raised by two syntonic commas -
Flat raised by three syntonic commas -
Natural lowered by three syntonic commas -
Natural lowered by two syntonic commas -
Natural lowered by one syntonic comma -
Natural -
Natural raised by one syntonic comma -
Natural raised by two syntonic commas -
Natural raised by three syntonic commas -
Sharp lowered by three syntonic commas -
Sharp lowered by two syntonic commas -
Sharp lowered by one syntonic comma -
Sharp -
Sharp raised by one syntonic comma -
Sharp raised by two syntonic commas -
Sharp raised by three syntonic commas -
Double sharp lowered by three syntonic commas -
Double sharp lowered by two syntonic commas -
Double sharp lowered by one syntonic comma -
Double sharp -
Double sharp raised by one syntonic comma -
Double sharp raised by two syntonic commas -
Double sharp raised by three syntonic commas -
Lower by two septimal commas -
Lower by one septimal comma -
Raise by one septimal comma -
Raise by two septimal commas -
Lower by one undecimal quartertone -
Raise by one undecimal quartertone -
Lower by one tridecimal quartertone -
Raise by one tridecimal quartertone -
Combining lower by one 17-limit schisma -
Combining raise by one 17-limit schisma -
Combining lower by one 19-limit schisma -
Combining raise by one 19-limit schisma -
Combining lower by one 23-limit comma -
Combining raise by one 23-limit comma -
Combining lower by one 29-limit schisma -
Combining raise by one 29-limit schisma -
Combining lower by one 31-limit comma -
Combining raise by one 31-limit comma
Harmonic primes
| Prime | Just (ratio) | Helmholtz-Ellis notation
assuming 1/1 is C |
Comments |
|---|---|---|---|
| 1 | 1/1 | 
|
|
| 3 | 3/2 | 
|
Notes belonging to the pythagorian series are natural |
| 5 | 5/4 |  
|
|
| 7 | 7/4 |   
|
|
| 11 | 11/8 |  
|
|
| 13 | 13/8 |  
|
|
| 17 | 17/16 |   
|
|
| 19 | 19/16 | 
|
|
| 23 | 23/16 |  
|
|
| 29 | 29/16 | 
|
|
| 31 | 31/16 | 
|
Harmonic primes
| Prime | Just (ratio) | Helmholtz-Ellis notation
assuming 1/1 is C |
Comments |
|---|---|---|---|
| 1 | 1/1 | C | |
| 3 | 3/2 | G | Notes belonging to the pythagorian series are natural |
| 5 | 5/4 | E
|
|
| 7 | 7/4 | B
|
|
| 11 | 11/8 | F
|
|
| 13 | 13/8 | A
|
|
| 17 | 17/16 | D
|
|
| 19 | 19/16 | E
|
|
| 23 | 23/16 | F
|
|
| 29 | 29/16 | B
|
|
| 31 | 31/16 | C
|
External links
HEWM Notation (Helmholtz-Ellis-Wolf-Monzo) - Tonalsoft enyclopedia of microtonal music theory
von Schweinitz - Extended Helmholtz-Ellis JI Pitch Notation
Plainsound Harmonic Space Calculat
See also
Other notation systems: http://lumma.org/music/theory/notation/