Helmholtz–Ellis notation: Difference between revisions
Jump to navigation
Jump to search
m Make todo more obvious |
switched placing of gallery and reference |
||
| Line 5: | Line 5: | ||
<references/> | <references/> | ||
== Quick reference == | == Quick reference == | ||
| Line 174: | Line 117: | ||
| 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 | ||
|} | |} | ||
== Helmholtz-Ellis glyphs == | |||
{{Todo|update|inline=1|comment=Update the 29-limit comma. }} | |||
<gallery> | |||
File:Heji1.svg|Double flat lowered by three syntonic commas | |||
File:Heji2.svg|Double flat lowered by two syntonic commas | |||
File:Heji3.svg|Double flat lowered by one syntonic comma | |||
File:Heji4.svg|Double flat | |||
File:Heji5.svg|Double flat raised by one syntonic comma | |||
File:Heji6.svg|Double flat raised by two syntonic commas | |||
File:Heji7.svg|Double flat raised by three syntonic commas | |||
File:Heji8.svg|Flat lowered by three syntonic commas | |||
File:Heji9.svg|Flat lowered by two syntonic commas | |||
File:Heji10.svg|Flat lowered by one syntonic comma | |||
File:Heji11.svg|Flat | |||
File:Heji12.svg|Flat raised by one syntonic comma | |||
File:Heji13.svg|Flat raised by two syntonic commas | |||
File:Heji14.svg|Flat raised by three syntonic commas | |||
File:Heji15.svg|Natural lowered by three syntonic commas | |||
File:Heji16.svg|Natural lowered by two syntonic commas | |||
File:Heji17.svg|Natural lowered by one syntonic comma | |||
File:Heji18.svg|Natural | |||
File:Heji19.svg|Natural raised by one syntonic comma | |||
File:Heji20.svg|Natural raised by two syntonic commas | |||
File:Heji21.svg|Natural raised by three syntonic commas | |||
File:Heji22.svg|Sharp lowered by three syntonic commas | |||
File:Heji23.svg|Sharp lowered by two syntonic commas | |||
File:Heji24.svg|Sharp lowered by one syntonic comma | |||
File:Heji25.svg|Sharp | |||
File:Heji26.svg|Sharp raised by one syntonic comma | |||
File:Heji27.svg|Sharp raised by two syntonic commas | |||
File:Heji28.svg|Sharp raised by three syntonic commas | |||
File:Heji29.svg|Double sharp lowered by three syntonic commas | |||
File:Heji30.svg|Double sharp lowered by two syntonic commas | |||
File:Heji31.svg|Double sharp lowered by one syntonic comma | |||
File:Heji32.svg|Double sharp | |||
File:Heji33.svg|Double sharp raised by one syntonic comma | |||
File:Heji34.svg|Double sharp raised by two syntonic commas | |||
File:Heji35.svg|Double sharp raised by three syntonic commas | |||
File:Heji36.svg|Lower by two septimal commas | |||
File:Heji37.svg|Lower by one septimal comma | |||
File:Heji38.svg|Raise by one septimal comma | |||
File:Heji39.svg|Raise by two septimal commas | |||
File:Heji40.svg|Lower by one undecimal quartertone | |||
File:Heji41.svg|Raise by one undecimal quartertone | |||
File:Heji42.svg|Lower by one tridecimal third tone | |||
File:Heji43.svg|Raise by one tridecimal third tone | |||
File:Heji44.svg|Combining lower by one 17-limit schisma | |||
File:Heji45.svg|Combining raise by one 17-limit schisma | |||
File:Heji46.svg|Combining lower by one 19-limit schisma | |||
File:Heji47.svg|Combining raise by one 19-limit schisma | |||
File:Heji48.svg|Combining lower 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 (old) | |||
File:Heji51.svg|Combining raise by one 29-limit schisma (old) | |||
File:Heji52.svg|Combining lower by one 31-limit quartertone | |||
File:Heji53.svg|Combining raise by one 31-limit quartertone | |||
</gallery> | |||
== External links == | == External links == | ||
Revision as of 21:46, 3 July 2022
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
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 |
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
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/