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Alternative symbols for ups and downs notation: Difference between revisions

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m Cleanup
Add link to my plugin that implements this. Clarify the table. Remove the solution to zero row cuz it breaks systematicity.
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# One may prefer a more conventional look of the score;  
# One may prefer a more conventional look of the score;  
# The up and down symbols may not be quite accessible in computer-aided score typing.  
# The up and down symbols may not be quite accessible in computer-aided score typing.  
All symbols proposed in this article are available in MuseScore 3. (Feel free to address others.)  
All symbols proposed in this article are available in MuseScore 3, and [https://github.com/FloraCanou/musescore-n-tet-plugins one approach to the n-Edo Retuner Plugin] is based on this. (Feel free to address others.)  


== What It Resolves ==
== What It Resolves ==
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Below is a table showing the characteristics of each ET in the context of heptatonic ups and downs notation.  
Below is a table showing the characteristics of each ET in the context of heptatonic ups and downs notation.  


Each row represents the step size of a sharp/flat, to be called "sharp value" below. The sharp value is the basic category to determine the symbol set to be used.  
Each row represents the steps of a sharp/flat (apotome, [[2187/2048]]), to be called "sharp value" below. The sharp value is the basic criterion to determine the symbol set to be used.  


Each column represents the step size of a small tone, located between E–F and B–C.  
Each column represents the steps of a small tone (limma, [[256/243]]), located between E–F and B–C.  


{| class="wikitable"
{| class="wikitable"
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=== Sharp Value 0 ===
=== Sharp Value 0 ===


The '''zero''' row is even more special in that the conventional meaning of the sharp or flat does not apply.  
The '''zero''' row is even more special in that the conventional meaning of the sharp or flat does not apply. As a result, this system is not a good solution and it virtually only works for 14-ET.  


One possible solution is to use the simple system for 14- and 21-ET, and the complex system for 28- and 35-ET.
'''14-ET'''
 
'''14- and 21-ET'''
{| class="wikitable"
{| class="wikitable"
!|Step offset
!|Step offset
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|}
|}


'''28- and 35-ET'''
== Limitations ==
{| class="wikitable"
!|Step offset
| +2
| +1
| 0
| -1
| -2
|-
!|Symbol
|[[File:accidental natural up2.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural.png]]
|[[File:accidental natural down1.png]]
|[[File:accidental natural down2.png]]
|}
 
Conclusively, this set of symbols cover all ETs below 72 except 59, 66, and 71.


== Limitations ==
Sharp value higher than 9 cannot be notated at all. ETs below 72 known to be impractical for this reason: 59, 66, 71, …


Sharp value higher than 9 cannot be notated at all.  
Sometimes the symbols available are not sufficient for every key of an ET. When the max step offset of an ET exceeds its accidental symbol set, some of the keys are capped from its full strength. This occurs with ETs that have a very flat fifth. ETs below 72 known to be impractical for this reason: 21, 26, 28, 33, 35, 40, 45, 47, 52, 64.  


Sometimes the symbols available are not sufficient for every key of an ET. When the max step offset of an ET exceeds its accidental symbol set, some of the keys are capped from its full strength. This occurs with ETs that have a very flat fifth.   
Conclusively, this set of symbols still cover most ETs below 72.   


[[Category:Notation]]
[[Category:Notation]]
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