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Alternative symbols for ups and downs notation: Difference between revisions

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The traditional accidentals, as specified in ups and downs notation, modify the note by the sharpness value, which equals the steps of a chromatic semitone (apotome, [[2187/2048]]).   
The traditional accidentals, as specified in ups and downs notation, modify the note by the sharpness value, which equals the steps of a chromatic semitone (apotome, [[2187/2048]]).   


The Stein-Zimmermann quartertone accidentals modify the note by half the sharpness value. They apply to [[edo]]s of even sharpness value only.   
The Stein-Zimmermann quartertone accidentals modify the note by half the sharpness value. They apply to [[EDO]]s of even sharpness value only.   


The Gould arrow quartertone symbols are up and down arrows attached to sharps, flats or naturals. They modify the note by one step. The syntonic comma in Helmholtz-Ellis just intonation accidentals looks very similar, and ''can be used interchangeably''.   
The Gould arrow quartertone symbols are up and down arrows attached to sharps, flats or naturals. They modify the note by one step. The syntonic comma in Helmholtz-Ellis just intonation accidentals looks very similar, and ''can be used interchangeably''.   
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== Usage guide for each sharpness value ==
== Usage guide for each sharpness value ==
{{See also|Sharpness}}
{{See also|Sharpness}}
A usage guide for edos of sharpness value below 8 will be provided here.  
A usage guide for EDOs of sharpness value below 8 will be provided here.  


=== Sharp 1 ===
=== Sharp-1 ===
 
Sharp-1 EDOs have a sharp that raises 1 step. EDOs of this category include {{EDOs|5, 12, 19, 26}}, etc.  
Sharp-1 edos have a sharp that raises 1 step. Edos of this category include {{EDOs|5, 12, 19, 26}}, etc.  


Traditional notation can be used since an up is exactly equivalent to a sharp.
Traditional notation can be used since an up is exactly equivalent to a sharp.
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=== Sharp 2 ===
=== Sharp-2 ===
Sharp-2 edos have a sharp that raises 2 steps. Edos of this category include {{EDOs|10, 17, 24, 31}}, etc.  
Sharp-2 EDOs have a sharp that raises 2 steps. EDOs of this category include {{EDOs|10, 17, 24, 31}}, etc.  


As are commonly seen in 24edo and 31edo, semisharps and semiflats could be used for a substitution of the tilde.  
As are commonly seen in 24edo and 31edo, semisharps and semiflats could be used for a substitution of the tilde.  
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=== Sharp-3 ===
=== Sharp-3 ===
Sharp-3 edos have a sharp that raises 3 steps. Edos of this category include {{EDOs|8, 15, 22, 29}}, etc.  
Sharp-3 EDOs have a sharp that raises 3 steps. EDOs of this category include {{EDOs|8, 15, 22, 29}}, etc.  


This is where you ''really'' want to use ups and downs.  
This is where you ''really'' want to use ups and downs.  
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=== Sharp-4 ===
=== Sharp-4 ===
Sharp-4 edos have a sharp that raises 4 steps. Edos of this category include {{EDOs|13, 20, 27, 34}}, etc.  
Sharp-4 EDOs have a sharp that raises 4 steps. EDOs of this category include {{EDOs|13, 20, 27, 34}}, etc.  


A full combination of semisharps, semiflats, ups and downs looks very neat.  
A full combination of semisharps, semiflats, ups and downs looks very neat.  
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=== Sharp-5 ===
=== Sharp-5 ===
Sharp-5 edos have a sharp that raises 5 steps. Edos of this category include {{EDOs|18, 25, 32, 39}}, etc.  
Sharp-5 EDOs have a sharp that raises 5 steps. EDOs of this category include {{EDOs|18, 25, 32, 39}}, etc.  


Starting with sharp-5, which includes the famous [[53edo]], you'll have to use double ups and downs.
Starting with sharp-5, which includes the famous [[53edo]], you'll have to use double ups and downs.
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=== Sharp-6 ===
=== Sharp-6 ===
Sharp-6 edos have a sharp that raises 6 steps. Edos of this category include {{EDOs|30, 37, 44, 51}}, etc.  
Sharp-6 EDOs have a sharp that raises 6 steps. EDOs of this category include {{EDOs|30, 37, 44, 51}}, etc.  


{| class="wikitable center-all"
{| class="wikitable center-all"
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=== Sharp-7 ===
=== Sharp-7 ===
Sharp-7 edos have a sharp that raises 7 steps. Edos of this category include {{EDOs|42, 49, 56, 63}}, etc.  
Sharp-7 EDOs have a sharp that raises 7 steps. EDOs of this category include {{EDOs|42, 49, 56, 63}}, etc.  


{| class="wikitable center-all"
{| class="wikitable center-all"
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=== Sharp-8 ===
=== Sharp-8 ===
Sharp-8 edos have a sharp that raises 8 steps. Edos of this category include {{EDOs|54, 61, 68}}, etc.  
Sharp-8 EDOs have a sharp that raises 8 steps. EDOs of this category include {{EDOs|54, 61, 68}}, etc.  


{| class="wikitable center-all"
{| class="wikitable center-all"
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Provided with more stacks of arrows, edos of higher sharpness value can be notated in the same method as above.   
Provided with more stacks of arrows, EDOs of higher sharpness value can be notated in the same method as above.   


The rest will be discussed below.  
The rest will be discussed below.  


=== Flat-1 ===
=== Flat-1 ===
 
Flat-1 EDOs have a sharp that ''lowers'' 1 step. EDOs of this category include {{EDOs|9, 16, and 23}}. To have a sharp that actually lowers the tone can be counter-intuitive, yet reasonable for the system. Regardless, you could just flip it around.  
Flat-1 edos have a sharp that ''lowers'' 1 step. Edos of this category include {{EDOs|9, 16, and 23}}. To have a sharp that actually lowers the tone can be counter-intuitive, yet reasonable for the system. Regardless, you could just flip it around.  


{| class="wikitable center-all"
{| class="wikitable center-all"
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=== Flat-2 ===
=== Flat-2 ===
Flat-2 edos (virtually [[11edo]] only) have a sharp that ''lowers'' 2 steps. So besides the special flavor of the sharps and flats, there are also semisharps and semiflats to fill up the spaces between.  
Flat-2 EDOs (virtually [[11edo]] only) have a sharp that ''lowers'' 2 steps. So besides the special flavor of the sharps and flats, there are also semisharps and semiflats to fill up the spaces between.  


{| class="wikitable center-all"
{| class="wikitable center-all"
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=== Zero ===
=== Zero ===
Perfect edos (sharp-0 edos) are even more special in that the traditional accidentals cannot raise or lower the pitch, so the notes can only be modified by arrows. Edos of this category include {{EDOs|7, 14, 21, 28, and 35}}.
Perfect EDOs (sharp-0 EDOs) are even more special in that the traditional accidentals cannot raise or lower the pitch, so the notes can only be modified by arrows. EDOs of this category include {{EDOs|7, 14, 21, 28, and 35}}.


{| class="wikitable center-all"
{| class="wikitable center-all"
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== Limitations ==
== Limitations ==
Some notes cannot be reached in edos of sharpness value higher than 9 due to MuseScore not providing the stacks of arrows required. Edos below 72 known to be impractical for this reason: {{EDOs|59, 66, and 71}}. Therefore, such edos are capped from its full strength.   
Some notes cannot be reached in EDOs of sharpness value higher than 9 due to MuseScore not providing the stacks of arrows required. EDOs below 72 known to be impractical for this reason: {{EDOs|59, 66, and 71}}. Therefore, such EDOs are capped from its full strength.   


Conclusively, this set of symbols still covers most edos up to 72.   
Conclusively, this set of symbols still covers most EDOs up to 72.   


[[Category:Notation]]
[[Category:Notation]]
[[Category:Ups and Downs Notation]]
[[Category:Ups and Downs Notation]]
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