Alternative symbols for ups and downs notation: Difference between revisions

Add link to my plugin that implements this. Clarify the table. Remove the solution to zero row cuz it breaks systematicity.
m Clarify that the complex system uses symbols of Helmholtz-Ellis notation
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Starting with sharp-5, which includes the famous 53-ET, you'll have to use double ups and downs.  
Starting with sharp-5, which includes the famous 53-ET, you'll have to use double ups and downs.  


There's a small version of the arrow symbol available that can be stacked twice or thrice, termed raise/lower by one syntonic comma, for which the step size of 53-edo is a close approximation. These arrow symbols, possibly combined with semisharps and semiflats, could be used through sharp-5 to sharp-8 ETs.  
There's a small version of the arrow symbol available that can be stacked twice or thrice as part of the [[Helmholtz-Ellis notation]], termed raise/lower by one syntonic comma, for which the step size of 53-edo is a close approximation. These arrow symbols, possibly combined with semisharps and semiflats, could be used through sharp-5 to sharp-8 ETs.  


It is basically another system, to be called the "complex system", in contrast to the "simple system" above. The complex system is compatible with lower sharp values. For example, you could use the sharp-8 68-ET for the notation of 34-ET, but the reason the former should not take priority is obvious. However you do, using arrow symbols of both systems should be definitely avoided, because they look too similar.  
It is basically another system, to be called the "complex system", in contrast to the "simple system" above. The complex system is compatible with lower sharp values. For example, you could use the sharp-8 68-ET for the notation of 34-ET, but the reason the former should not take priority is obvious. However you do, using arrow symbols of both systems should be definitely avoided, because they look too similar.  
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== Limitations ==
== 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. ETs below 72 known to be impractical for this reason: 59, 66, 71


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. ETs below 72 known to be impractical for this reason: 21, 26, 28, 33, 35, 40, 45, 47, 52, 64.