Helmholtz–Ellis notation: Difference between revisions
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== Helmholtz-Ellis glyphs == | == Helmholtz-Ellis glyphs == | ||
{{Todo|update|inline=1|comment=Update the 29-limit comma. }} | |||
<gallery> | <gallery> | ||
File:Heji1.svg|Double flat lowered by three syntonic commas | File:Heji1.svg|Double flat lowered by three syntonic commas | ||
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File:Heji48.svg|Combining lower by one 23-limit comma | File:Heji48.svg|Combining lower by one 23-limit comma | ||
File:Heji49.svg|Combining raise by one 23-limit comma | File:Heji49.svg|Combining raise by one 23-limit comma | ||
File:Heji50.svg|Combining lower by one 29-limit schisma | File:Heji50.svg|Combining lower by one 29-limit schisma (old) | ||
File:Heji51.svg|Combining raise by one 29-limit schisma | File:Heji51.svg|Combining raise by one 29-limit schisma (old) | ||
File:Heji52.svg|Combining lower by one 31-limit quartertone | File:Heji52.svg|Combining lower by one 31-limit quartertone | ||
File:Heji53.svg|Combining raise by one 31-limit quartertone | File:Heji53.svg|Combining raise by one 31-limit quartertone | ||
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| 29 | | 29 | ||
| 29/16 | | 29/16 | ||
| | | (todo) | ||
| [[File:Heji51.svg|48x48px]][[File:Heji12.svg|48x48px]][[File:HejiB.svg|48x48px]] | | [[File:Heji51.svg|48x48px]][[File:Heji12.svg|48x48px]][[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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| 31/16 | | 31/16 | ||
| [[File:Heji52.svg|48x48px]][[File:HejiC.svg|48x48px]] | | [[File:Heji52.svg|48x48px]][[File:HejiC.svg|48x48px]] | ||
| | | (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 | ||
|} | |} | ||
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[[Category:Just intonation]] | [[Category:Just intonation]] | ||
[[Category:Helmholtz-Ellis notation| ]] <!-- main article --> | [[Category:Helmholtz-Ellis notation| ]] <!-- main article --> | ||
Revision as of 10:41, 27 February 2021
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
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 (old) -
Combining raise by one 29-limit schisma (old) -
Combining lower by one 31-limit quartertone -
Combining raise by one 31-limit quartertone
Quick reference
Formal commas
| Prime | Formal Comma |
|---|---|
| 5 | 81/80 |
| 7 | 64/63 |
| 11 | 33/32 |
| 13 | 27/26 |
| 17 | 2187/2176 |
| 19 | 513/512 |
| 23 | 736/729 |
| 29 | 261/256 |
| 31 | 32/31 |
Prime harmonics
| 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 | (todo) | 
|
Definition of the accidental is revised from 145/144 to 261/256 in the 2020 version by Plainsound Music Edition |
| 31 | 31/16 | 
|
(todo) | 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/