Helmholtz–Ellis notation: Difference between revisions
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Put Plainsound's documents above the glyphs cuz they are more informative |
m Update some names |
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| Line 49: | Line 49: | ||
File:Heji40.svg|Lower by one undecimal quartertone | File:Heji40.svg|Lower by one undecimal quartertone | ||
File:Heji41.svg|Raise by one undecimal quartertone | File:Heji41.svg|Raise by one undecimal quartertone | ||
File:Heji42.svg|Lower by one tridecimal | File:Heji42.svg|Lower by one tridecimal third tone | ||
File:Heji43.svg|Raise by one tridecimal | File:Heji43.svg|Raise by one tridecimal third tone | ||
File:Heji44.svg|Combining lower by one 17-limit schisma | File:Heji44.svg|Combining lower by one 17-limit schisma | ||
File:Heji45.svg|Combining raise by one 17-limit schisma | File:Heji45.svg|Combining raise by one 17-limit schisma | ||
| Line 59: | Line 59: | ||
File:Heji50.svg|Combining lower by one 29-limit schisma | File:Heji50.svg|Combining lower by one 29-limit schisma | ||
File:Heji51.svg|Combining raise by one 29-limit schisma | File:Heji51.svg|Combining raise by one 29-limit schisma | ||
File:Heji52.svg|Combining lower by one 31-limit | File:Heji52.svg|Combining lower by one 31-limit quartertone | ||
File:Heji53.svg|Combining raise by one 31-limit | File:Heji53.svg|Combining raise by one 31-limit quartertone | ||
</gallery> | </gallery> | ||
| Line 109: | Line 109: | ||
| | | | ||
|- | |- | ||
|17 | | 17 | ||
|17/16 | | 17/16 | ||
| [[File:Heji44.svg|48x48px]][[File:Heji25.svg|48x48px]][[File:HejiC.svg|48x48px]] | | [[File:Heji44.svg|48x48px]][[File:Heji25.svg|48x48px]][[File:HejiC.svg|48x48px]] | ||
| [[File:Heji44.svg|48x48px]][[File:Heji12.svg|48x48px]][[File:HejiD.svg|48x48px]] | | [[File:Heji44.svg|48x48px]][[File:Heji12.svg|48x48px]][[File:HejiD.svg|48x48px]] | ||
Revision as of 14:45, 23 September 2020
Introductory materials
- The Helmholtz-Ellis JI Pitch Notation (HEJI) by Marc Sabat and Thomas Nicholson from Plainsound Music Edition – 2020 version with revised symbols for primes up to 47 entirely based on alterations of Pythagorean notes
- Extended Helmholtz-Ellis JI Pitch Notation by Marc Sabat and Wolfgang von Schweinitz from Plainsound Music Edition – deprecated[1] 2004 version
Helmholtz-Ellis glyphs
- Todo: update the 29-limit comma.
-
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 third tone -
Raise by one tridecimal third tone -
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 quartertone -
Combining raise by one 31-limit quartertone
Harmonic primes
| Prime | Just Ratio | Notation (assuming 1/1 is C) | Comments | |
|---|---|---|---|---|
| 2020 version | 2004 version | |||
| 1 | 1/1 | 
|
|
Default staff notation represents Pythagorean tuning |
| 3 | 3/2 | 
|
|
Default staff notation represents Pythagorean tuning |
| 5 | 5/4 |  
|
|
|
| 7 | 7/4 |   
|
|
|
| 11 | 11/8 |  
|
|
|
| 13 | 13/8 |  
|
|
|
| 17 | 17/16 |  
|
 
|
Definition of the accidental is revised from 256/255 to 2187/2176 in the 2020 version by Plainsound Music Edition |
| 19 | 19/16 | 
|
|
|
| 23 | 23/16 | 
|
|
|
| 29 | 29/16 | 
|
Definition of the accidental is revised from 145/144 to 261/256 in the 2020 version by Plainsound Music Edition | |
| 31 | 31/16 | 
|
Definition of the accidental is revised from 1024/1023 to 32/31 in the 2020 version by Plainsound Music Edition | |
External links
- HEWM Notation (Helmholtz-Ellis-Wolf-Monzo) – Tonalsoft enyclopedia of microtonal music theory
- Plainsound Harmonic Space Calculator
See also
- Functional Just System (FJS) – a logical notation system for the entirety of just intonation
- Ben Johnston's notation
- Other notation systems: http://lumma.org/music/theory/notation/