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Alternative symbols for ups and downs notation: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
|Step offset
|Step offset
| +2
| '''+2'''
| +1
| '''+1'''
| 0
| '''0'''
| -1
| '''-1'''
| -2
| '''-2'''
|-
|-
|Symbol
|Symbol
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{| class="wikitable"
{| class="wikitable"
|Step offset
|Step offset
| +4
| '''+4'''
| +3
| +3
| +2
| '''+2'''
| +1
| +1
| 0
| '''0'''
| -1
| -1
| -2
| '''-2'''
| -3
| -3
| -4
| '''-4'''
|-
|-
|Symbol
|Symbol
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{| class="wikitable"
{| class="wikitable"
|Step offset
|Step offset
| +7
| 7
| +6
| '''6'''
| +5
| 5
| +4
| 4
| +3
| '''3'''
| +2
| 2
| +1
| 1
| 0
| '''0'''
| -1
| -2
| -3
| -4
| -5
| -6
| -7
|-
|-
|Symbol
|Sharp symbol
|[[File:accidental doublesharp up.png]]
|[[File:accidental doublesharp up.png]]
|[[File:accidental doublesharp.png]]
|[[File:accidental doublesharp.png]]
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|[[File:accidental natural up.png]]
|[[File:accidental natural up.png]]
|[[File:accidental natural.png]]
|[[File:accidental natural.png]]
|-
|Flat symbol
|[[File:accidental doubleflat down.png]]
|[[File:accidental doubleflat.png]]
|[[File:accidental doubleflat up.png]]
|[[File:accidental flat down.png]]
|[[File:accidental flat.png]]
|[[File:accidental flat up.png]]
|[[File:accidental natural down.png]]
|[[File:accidental natural down.png]]
|[[File:accidental flat up.png]]
|
|[[File:accidental flat.png]]
|[[File:accidental flat down.png]]
|[[File:accidental doubleflat up.png]]
|[[File:accidental doubleflat.png]]
|[[File:accidental doubleflat down.png]]
|}
|}


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{| class="wikitable"
{| class="wikitable"
|Step offset
|Step offset
| +9
| 9
| +8
| '''8'''
| +7
| 7
| +6
| 6
| +5
| 5
| +4
| '''4'''
| +3
| 3
| +2
| 2
| +1
| 1
| 0
| '''0'''
| -1
| -2
| -3
| -4
| -5
| -6
| -7
| -8
| -9
|-
|-
|Symbol
|Sharp symbol
|[[File:accidental doublesharp up.png]]
|[[File:accidental doublesharp up.png]]
|[[File:accidental doublesharp.png]]
|[[File:accidental doublesharp.png]]
Line 343: Line 330:
|[[File:accidental natural up.png]]
|[[File:accidental natural up.png]]
|[[File:accidental natural.png]]
|[[File:accidental natural.png]]
|-
|Flat symbol
|[[File:accidental doubleflat down.png]]
|[[File:accidental doubleflat.png]]
|[[File:accidental doubleflat up.png]]
|[[File:accidental sesquiflat.png]]
|[[File:accidental flat down.png]]
|[[File:accidental flat.png]]
|[[File:accidental flat up.png]]
|[[File:accidental semiflat.png]]
|[[File:accidental natural down.png]]
|[[File:accidental natural down.png]]
|[[File:accidental semiflat.png]]
|
|[[File:accidental flat up.png]]
|[[File:accidental flat.png]]
|[[File:accidental flat down.png]]
|[[File:accidental sesquiflat.png]]
|[[File:accidental doubleflat up.png]]
|[[File:accidental doubleflat.png]]
|[[File:accidental doubleflat down.png]]
|}
|}


=== Sharp Value 5 to 8 ===
=== Sharp Value 5 to 8 ===


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, 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.  
'''Sharp-5'''
{| class="wikitable"
|Step offset
| 12
| 11
| '''10'''
| 9
| 8
| 7
| 6
| '''5'''
| 4
| 3
| 2
| 1
| '''0'''
|-
|Sharp symbol
|[[File:accidental doublesharp up2.png]]
|[[File:accidental doublesharp up1.png]]
|[[File:accidental doublesharp.png]]
|[[File:accidental doublesharp down1.png]]
|[[File:accidental doublesharp down2.png]]
|[[File:accidental sharp up2.png]]
|[[File:accidental sharp up1.png]]
|[[File:accidental sharp.png]]
|[[File:accidental sharp down1.png]]
|[[File:accidental sharp down2.png]]
|[[File:accidental natural up2.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural.png]]
|-
|Flat symbol
|[[File:accidental doubleflat down2.png]]
|[[File:accidental doubleflat down1.png]]
|[[File:accidental doubleflat.png]]
|[[File:accidental doubleflat up1.png]]
|[[File:accidental doubleflat up2.png]]
|[[File:accidental flat down2.png]]
|[[File:accidental flat down1.png]]
|[[File:accidental flat.png]]
|[[File:accidental flat up1.png]]
|[[File:accidental flat up2.png]]
|[[File:accidental natural down2.png]]
|[[File:accidental natural down1.png]]
|
|}
'''Sharp-6'''
{| class="wikitable"
|Step offset
| 14
| 13
| '''12'''
| 11
| 10
| 9
| 8
| 7
| '''6'''
| 5
| 4
| 3
| 2
| 1
| '''0'''
|-
|Sharp symbol
|[[File:accidental doublesharp up2.png]]
|[[File:accidental doublesharp up1.png]]
|[[File:accidental doublesharp.png]]
|[[File:accidental doublesharp down1.png]]
|[[File:accidental doublesharp down2.png]]
|[[File:accidental sesquisharp.png]]
|[[File:accidental sharp up2.png]]
|[[File:accidental sharp up1.png]]
|[[File:accidental sharp.png]]
|[[File:accidental sharp down1.png]]
|[[File:accidental sharp down2.png]]
|[[File:accidental semisharp.png]]
|[[File:accidental natural up2.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural.png]]
|-
|Flat symbol
|[[File:accidental doubleflat down2.png]]
|[[File:accidental doubleflat down1.png]]
|[[File:accidental doubleflat.png]]
|[[File:accidental doubleflat up1.png]]
|[[File:accidental doubleflat up2.png]]
|[[File:accidental sesquiflat.png]]
|[[File:accidental flat down2.png]]
|[[File:accidental flat down1.png]]
|[[File:accidental flat.png]]
|[[File:accidental flat up1.png]]
|[[File:accidental flat up2.png]]
|[[File:accidental semiflat.png]]
|[[File:accidental natural down2.png]]
|[[File:accidental natural down1.png]]
|
|}
'''Sharp-7'''
{| class="wikitable"
|Step offset
| 17
| 16
| 15
| '''14'''
| 13
| 12
| 11
| 10
| 9
| 8
| '''7'''
| 6
| 5
| 4
| 3
| 2
| 1
| '''0'''
|-
|Sharp symbol
|[[File:accidental doublesharp up3.png]]
|[[File:accidental doublesharp up2.png]]
|[[File:accidental doublesharp up1.png]]
|[[File:accidental doublesharp.png]]
|[[File:accidental doublesharp down1.png]]
|[[File:accidental doublesharp down2.png]]
|[[File:accidental doublesharp down3.png]]
|[[File:accidental sharp up3.png]]
|[[File:accidental sharp up2.png]]
|[[File:accidental sharp up1.png]]
|[[File:accidental sharp.png]]
|[[File:accidental sharp down1.png]]
|[[File:accidental sharp down2.png]]
|[[File:accidental sharp down3.png]]
|[[File:accidental natural up3.png]]
|[[File:accidental natural up2.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural.png]]
|-
|Flat symbol
|[[File:accidental doubleflat down3.png]]
|[[File:accidental doubleflat down2.png]]
|[[File:accidental doubleflat down1.png]]
|[[File:accidental doubleflat.png]]
|[[File:accidental doubleflat up1.png]]
|[[File:accidental doubleflat up2.png]]
|[[File:accidental doubleflat up3.png]]
|[[File:accidental flat down3.png]]
|[[File:accidental flat down2.png]]
|[[File:accidental flat down1.png]]
|[[File:accidental flat.png]]
|[[File:accidental flat up1.png]]
|[[File:accidental flat up2.png]]
|[[File:accidental flat up3.png]]
|[[File:accidental natural down3.png]]
|[[File:accidental natural down2.png]]
|[[File:accidental natural down1.png]]
|
|}
'''Sharp-8'''
{| class="wikitable"
|Step offset
| 19
| 18
| 17
| '''16'''
| 15
| 14
| 13
| 12
| 11
| 10
| 9
| '''8'''
| 7
| 6
| 5
| 4
| 3
| 2
| 1
| '''0'''
|-
|Sharp symbol
|[[File:accidental doublesharp up3.png]]
|[[File:accidental doublesharp up2.png]]
|[[File:accidental doublesharp up1.png]]
|[[File:accidental doublesharp.png]]
|[[File:accidental doublesharp down1.png]]
|[[File:accidental doublesharp down2.png]]
|[[File:accidental doublesharp down3.png]]
|[[File:accidental sesquisharp.png]]
|[[File:accidental sharp up3.png]]
|[[File:accidental sharp up2.png]]
|[[File:accidental sharp up1.png]]
|[[File:accidental sharp.png]]
|[[File:accidental sharp down1.png]]
|[[File:accidental sharp down2.png]]
|[[File:accidental sharp down3.png]]
|[[File:accidental semisharp.png]]
|[[File:accidental natural up3.png]]
|[[File:accidental natural up2.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural.png]]
|-
|Flat symbol
|[[File:accidental doubleflat down3.png]]
|[[File:accidental doubleflat down2.png]]
|[[File:accidental doubleflat down1.png]]
|[[File:accidental doubleflat.png]]
|[[File:accidental doubleflat up1.png]]
|[[File:accidental doubleflat up2.png]]
|[[File:accidental doubleflat up3.png]]
|[[File:accidental sesquiflat.png]]
|[[File:accidental flat down3.png]]
|[[File:accidental flat down2.png]]
|[[File:accidental flat down1.png]]
|[[File:accidental flat.png]]
|[[File:accidental flat up1.png]]
|[[File:accidental flat up2.png]]
|[[File:accidental flat up3.png]]
|[[File:accidental semiflat.png]]
|[[File:accidental natural down3.png]]
|[[File:accidental natural down2.png]]
|[[File:accidental natural down1.png]]
|
|}


The rest will be discussed below.  
The rest will be discussed below.  
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{| class="wikitable"
{| class="wikitable"
|Step offset
|Step offset
| +2
| '''+2'''
| +1
| '''+1'''
| 0
| '''0'''
| -1
| '''-1'''
| -2
| '''-2'''
|-
|-
|Symbol
|Symbol
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{| class="wikitable"
{| class="wikitable"
|Step offset
|Step offset
| +4
| '''+4'''
| +3
| +3
| +2
| '''+2'''
| +1
| +1
| 0
| '''0'''
| -1
| -1
| -2
| '''-2'''
| -3
| -3
| -4
| '''-4'''
|-
|-
|Symbol
|Symbol
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One possible solution is to use the simple system for 14- and 21-ET, and the complex system for 28- and 35-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- and 21-ET'''
{| class="wikitable"
|Step offset
| +1
| '''0'''
| -1
|-
|Symbol
|[[File:accidental natural up.png]]
|[[File:accidental natural.png]]
|[[File:accidental natural down.png]]
|}
'''28- and 35-ET'''
{| 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.
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.
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.


[[Category:Notation]]
[[Category:Notation]]
Retrieved from "https://en.xen.wiki/w/Alternative_symbols_for_ups_and_downs_notation"