Xenharmonic Wiki

Alternative symbols for ups and downs notation: Difference between revisions

← Older editNewer edit →
VisualWikitext
ArrowHead294 (talk | contribs)
14,512 edits
Fix size for sharp-up accidentals
ArrowHead294 (talk | contribs)
14,512 edits
mNo edit summary
Line 24: Line 24:
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.


{| class="wikitable center-all"
{{Sharpness-sharp1}}
! Step offset
| +2
| +1
| 0
| −1
| −2
|-
! Symbol
| [[File:Heji32.svg|18px|center]]
| [[File:Heji25.svg|17px|center]]
| [[File:Heji18.svg|15px|center]]
| [[File:Heji11.svg|15px|center]]
| [[File:Heji4.svg|24px|center]]
|}


=== Sharp-2 ===
=== Sharp-2 ===
Line 45: Line 31:
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.  


{| class="wikitable center-all"
{{Sharpness-sharp2}}
! Step offset
| +4
| +3
| +2
| +1
| 0
| −1
| −2
| −3
| −4
|-
! Symbol
| [[File:Heji32.svg|18px|center]]
| [[File:HeQu3.svg|20px|center]]
| [[File:Heji25.svg|17px|center]]
| [[File:HeQu1.svg|14px|center]]
| [[File:Heji18.svg|15px|center]]
| [[File:HeQd1.svg|15px|center]]
| [[File:Heji11.svg|15px|center]]
| [[File:HeQd3.svg|24px|center]]
| [[File:Heji4.svg|24px|center]]
|}


=== Sharp-3 ===
=== Sharp-3 ===
Line 110: Line 74:
A full combination of semisharps, semiflats, ups and downs looks very neat.  
A full combination of semisharps, semiflats, ups and downs looks very neat.  


{| class="wikitable center-all"
{{Sharpness-sharp4}}
! Step offset
| 9
| '''8'''
| 7
| 6
| 5
| '''4'''
| 3
| 2
| 1
| '''0'''
|-
! Sharp symbol
| [[File:Heji33.svg|18px|center]]
| [[File:Heji32.svg|18px|center]]
| [[File:Heji31.svg|18px|center]]
| [[File:HeQu3.svg|20px|center]]
| [[File:Heji26.svg|18px|center]]
| [[File:Heji25.svg|17px|center]]
| [[File:Heji24.svg|17px|center]]
| [[File:HeQu1.svg|14px|center]]
| [[File:Heji19.svg|18px|center]]
| rowspan="2" | [[File:Heji18.svg|15px|center]]
|-
! Flat symbol
| [[File:Heji3.svg|24px|center]]
| [[File:Heji4.svg|24px|center]]
| [[File:Heji5.svg|27px|center]]
| [[File:HeQd3.svg|24px|center]]
| [[File:Heji10.svg|19px|center]]
| [[File:Heji11.svg|15px|center]]
| [[File:Heji12.svg|18px|center]]
| [[File:HeQd1.svg|15px|center]]
| [[File:Heji17.svg|15px|center]]
|}


=== Sharp-5 ===
=== Sharp-5 ===
Sharp-5 EDOs have a sharp that raises 5 steps. EDOs of this category are {{EDOs|18, 25, 32, 39, 46, 53, 60, 67, 74, 81, and 88}}.
Sharp-5 EDOs have a sharp that raises 5 steps. EDOs of this category are {{EDOs|18, 25, 32, 39, 46, 53, 60, 67, 74, 81, and 88}}.


{| class="wikitable center-all"
{{Sharpness-sharp5}}
! Step offset
| 12
| 11
| '''10'''
| 9
| 8
| 7
| 6
| '''5'''
| 4
| 3
| 2
| 1
| '''0'''
|-
! Sharp symbol
| [[File:Heji34.svg|18px|center]]
| [[File:Heji33.svg|18px|center]]
| [[File:Heji32.svg|18px|center]]
| [[File:Heji31.svg|18px|center]]
| [[File:Heji30.svg|18px|center]]
| [[File:Heji27.svg|18px|center]]
| [[File:Heji26.svg|18px|center]]
| [[File:Heji25.svg|17px|center]]
| [[File:Heji24.svg|17px|center]]
| [[File:Heji23.svg|17px|center]]
| [[File:Heji20.svg|18px|center]]
| [[File:Heji19.svg|18px|center]]
| rowspan="2" | [[File:Heji18.svg|15px|center]]
|-
! Flat symbol
| [[File:Heji2.svg|24px|center]]
| [[File:Heji3.svg|24px|center]]
| [[File:Heji4.svg|24px|center]]
| [[File:Heji5.svg|27px|center]]
| [[File:Heji6.svg|27px|center]]
| [[File:Heji9.svg|19px|center]]
| [[File:Heji10.svg|19px|center]]
| [[File:Heji11.svg|15px|center]]
| [[File:Heji12.svg|18px|center]]
| [[File:Heji13.svg|18px|center]]
| [[File:Heji16.svg|15px|center]]
| [[File:Heji17.svg|15px|center]]
|}


=== Sharp-6 ===
=== Sharp-6 ===
Sharp-6 EDOs have a sharp that raises 6 steps. EDOs of this category are {{EDOs|30, 37, 44, 51, 58, 65, 72, 79, 86, 93, and 100}}.
Sharp-6 EDOs have a sharp that raises 6 steps. EDOs of this category are {{EDOs|30, 37, 44, 51, 58, 65, 72, 79, 86, 93, and 100}}.


{| class="wikitable center-all"
{{Sharpness-sharp6}}
! Step offset
| 14
| 13
| '''12'''
| 11
| 10
| 9
| 8
| 7
| '''6'''
| 5
| 4
| 3
| 2
| 1
| '''0'''
|-
! Sharp symbol
| [[File:Heji34.svg|18px|center]]
| [[File:Heji33.svg|18px|center]]
| [[File:Heji32.svg|18px|center]]
| [[File:Heji31.svg|18px|center]]
| [[File:Heji30.svg|18px|center]]
| [[File:HeQu3.svg|20px|center]]
| [[File:Heji27.svg|18px|center]]
| [[File:Heji26.svg|18px|center]]
| [[File:Heji25.svg|17px|center]]
| [[File:Heji24.svg|17px|center]]
| [[File:Heji23.svg|17px|center]]
| [[File:HeQu1.svg|14px|center]]
| [[File:Heji20.svg|18px|center]]
| [[File:Heji19.svg|18px|center]]
| rowspan="2" | [[File:Heji18.svg|15px|center]]
|-
! Flat symbol
| [[File:Heji2.svg|24px|center]]
| [[File:Heji3.svg|24px|center]]
| [[File:Heji4.svg|24px|center]]
| [[File:Heji5.svg|27px|center]]
| [[File:Heji6.svg|27px|center]]
| [[File:HeQd3.svg|24px|center]]
| [[File:Heji9.svg|19px|center]]
| [[File:Heji10.svg|19px|center]]
| [[File:Heji11.svg|15px|center]]
| [[File:Heji12.svg|18px|center]]
| [[File:Heji13.svg|18px|center]]
| [[File:HeQd1.svg|15px|center]]
| [[File:Heji16.svg|15px|center]]
| [[File:Heji17.svg|15px|center]]
|}


=== Sharp-7 ===
=== Sharp-7 ===
Sharp-7 EDOs have a sharp that raises 7 steps. EDOs of this category are {{EDOs|42, 49, 56, 63, 70, 77, 84, 91, 98, and 105}}.  
Sharp-7 EDOs have a sharp that raises 7 steps. EDOs of this category are {{EDOs|42, 49, 56, 63, 70, 77, 84, 91, 98, and 105}}.  


{| class="wikitable center-all"
{{Sharpness-sharp7}}
! Step offset
| 17
| 16
| 15
| '''14'''
| 13
| 12
| 11
| 10
| 9
| 8
| '''7'''
| 6
| 5
| 4
| 3
| 2
| 1
| '''0'''
|-
! Sharp symbol
| [[File:Heji35.svg|18px|center]]
| [[File:Heji34.svg|18px|center]]
| [[File:Heji33.svg|18px|center]]
| [[File:Heji32.svg|18px|center]]
| [[File:Heji31.svg|18px|center]]
| [[File:Heji30.svg|18px|center]]
| [[File:Heji29.svg|18px|center]]
| [[File:Heji28.svg|18px|center]]
| [[File:Heji27.svg|18px|center]]
| [[File:Heji26.svg|18px|center]]
| [[File:Heji25.svg|17px|center]]
| [[File:Heji24.svg|17px|center]]
| [[File:Heji23.svg|17px|center]]
| [[File:Heji22.svg|17px|center]]
| [[File:Heji21.svg|18px|center]]
| [[File:Heji20.svg|18px|center]]
| [[File:Heji19.svg|18px|center]]
| rowspan="2" | [[File:Heji18.svg|15px|center]]
|-
! Flat symbol
| [[File:Heji1.svg|24px|center]]
| [[File:Heji2.svg|24px|center]]
| [[File:Heji3.svg|24px|center]]
| [[File:Heji4.svg|24px|center]]
| [[File:Heji5.svg|27px|center]]
| [[File:Heji6.svg|27px|center]]
| [[File:Heji7.svg|27px|center]]
| [[File:Heji8.svg|19px|center]]
| [[File:Heji9.svg|19px|center]]
| [[File:Heji10.svg|19px|center]]
| [[File:Heji11.svg|15px|center]]
| [[File:Heji12.svg|18px|center]]
| [[File:Heji13.svg|18px|center]]
| [[File:Heji14.svg|18px|center]]
| [[File:Heji15.svg|15px|center]]
| [[File:Heji16.svg|15px|center]]
| [[File:Heji17.svg|15px|center]]
|}


=== Sharp-8 ===
=== Sharp-8 ===
Sharp-8 EDOs have a sharp that raises 8 steps. EDOs of this category are {{EDOs|54, 61, 68, 75, 82, 89, 96, 103, 110, and 117}}.
Sharp-8 EDOs have a sharp that raises 8 steps. EDOs of this category are {{EDOs|54, 61, 68, 75, 82, 89, 96, 103, 110, and 117}}.


{| class="wikitable center-all"
{{Sharpness-sharp8}}
! 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:Heji35.svg|18px|center]]
| [[File:Heji34.svg|18px|center]]
| [[File:Heji33.svg|18px|center]]
| [[File:Heji32.svg|18px|center]]
| [[File:Heji31.svg|18px|center]]
| [[File:Heji30.svg|18px|center]]
| [[File:Heji29.svg|18px|center]]
| [[File:HeQu3.svg|20px|center]]
| [[File:Heji28.svg|18px|center]]
| [[File:Heji27.svg|18px|center]]
| [[File:Heji26.svg|18px|center]]
| [[File:Heji25.svg|17px|center]]
| [[File:Heji24.svg|17px|center]]
| [[File:Heji23.svg|17px|center]]
| [[File:Heji22.svg|17px|center]]
| [[File:HeQu1.svg|14px|center]]
| [[File:Heji21.svg|18px|center]]
| [[File:Heji20.svg|18px|center]]
| [[File:Heji19.svg|18px|center]]
| rowspan="2" | [[File:Heji18.svg|15px|center]]
|-
! Flat symbol
| [[File:Heji1.svg|24px|center]]
| [[File:Heji2.svg|24px|center]]
| [[File:Heji3.svg|24px|center]]
| [[File:Heji4.svg|24px|center]]
| [[File:Heji5.svg|27px|center]]
| [[File:Heji6.svg|27px|center]]
| [[File:Heji7.svg|27px|center]]
| [[File:HeQd3.svg|24px|center]]
| [[File:Heji8.svg|19px|center]]
| [[File:Heji9.svg|19px|center]]
| [[File:Heji10.svg|19px|center]]
| [[File:Heji11.svg|15px|center]]
| [[File:Heji12.svg|18px|center]]
| [[File:Heji13.svg|18px|center]]
| [[File:Heji14.svg|18px|center]]
| [[File:HeQd1.svg|15px|center]]
| [[File:Heji15.svg|15px|center]]
| [[File:Heji16.svg|15px|center]]
| [[File:Heji17.svg|15px|center]]
|}


=== Higher sharpness values ===
=== Higher sharpness values ===
Provided with more stacks of arrows, or the ability to attach arrows to demi- and sesqui-sharps and flats, EDOs of higher sharpness value can be notated in the same method as above. For example, sharp-10 EDOs ({{EDOs|71, 78, 85, 92, 99, 106, 113, 120, 127, 134, and 141}}) can be notated as follows:
Provided with more stacks of arrows, or the ability to attach arrows to demi- and sesqui-sharps and flats, EDOs of higher sharpness value can be notated in the same method as above. For example, sharp-10 EDOs ({{EDOs|71, 78, 85, 92, 99, 106, 113, 120, 127, 134, and 141}}) can be notated as follows:


{| class="wikitable center-all"
{{Sharpness-sharp10-qt1}}
! Step offset
| 22
| 21
| '''20'''
| 19
| 18
| 17
| 16
| 15
| 14
| 13
| 12
| 11
| '''10'''
| 9
| 8
| 7
| 6
| 5
| 4
| 3
| 2
| 1
| '''0'''
|-
! Sharp symbol
| [[File:Heji34.svg|18px|center]]
| [[File:Heji33.svg|18px|center]]
| [[File:Heji32.svg|18px|center]]
| [[File:Heji31.svg|18px|center]]
| [[File:Heji30.svg|18px|center]]
| [[File:HeQu3-su2.svg|20px|center]]
| [[File:HeQu3-su1.svg|20px|center]]
| [[File:HeQu3.svg|20px|center]]
| [[File:HeQu3-sd1.svg|20px|center]]
| [[File:HeQu3-sd2.svg|20px|center]]
| [[File:Heji27.svg|18px|center]]
| [[File:Heji26.svg|18px|center]]
| [[File:Heji25.svg|17px|center]]
| [[File:Heji24.svg|17px|center]]
| [[File:Heji23.svg|17px|center]]
| [[File:HeQu1-su2.svg|14px|center]]
| [[File:HeQu1-su1.svg|14px|center]]
| [[File:HeQu1.svg|14px|center]]
| [[File:HeQu1-sd1.svg|14px|center]]
| [[File:HeQu1-sd2.svg|14px|center]]
| [[File:Heji20.svg|18px|center]]
| [[File:Heji19.svg|18px|center]]
| rowspan="2" | [[File:Heji18.svg|15px|center]]
|-
! Flat symbol
| [[File:Heji2.svg|24px|center]]
| [[File:Heji3.svg|24px|center]]
| [[File:Heji4.svg|24px|center]]
| [[File:Heji5.svg|27px|center]]
| [[File:Heji6.svg|27px|center]]
| [[File:HeQd3-sd2.svg|24px|center]]
| [[File:HeQd3-sd1.svg|24px|center]]
| [[File:HeQd3.svg|24px|center]]
| [[File:HeQd3-su1.svg|24px|center]]
| [[File:HeQd3-su2.svg|24px|center]]
| [[File:Heji9.svg|19px|center]]
| [[File:Heji10.svg|19px|center]]
| [[File:Heji11.svg|15px|center]]
| [[File:Heji12.svg|18px|center]]
| [[File:Heji13.svg|18px|center]]
| [[File:HeQd1-sd2.svg|18px|center]]
| [[File:HeQd1-sd1.svg|18px|center]]
| [[File:HeQd1.svg|15px|center]]
| [[File:HeQd1-su1.svg|18px|center]]
| [[File:HeQd1-su2.svg|18px|center]]
| [[File:Heji16.svg|15px|center]]
| [[File:Heji17.svg|15px|center]]
|}


The rest will be discussed below.
The rest will be discussed below.
Line 470: Line 106:
Flat-1 EDOs have a sharp that ''lowers'' 1 step. EDOs of this category are {{EDOs|9, 16, 23, and 30}}. 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 are {{EDOs|9, 16, 23, and 30}}. 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"
{{Sharpness-flat1}}
! Step offset
| +2
| +1
| 0
| −1
| −2
|-
! Symbol
| [[File:Heji4.svg|24px|center]]
| [[File:Heji11.svg|15px|center]]
| [[File:Heji18.svg|15px|center]]
| [[File:Heji25.svg|17px|center]]
| [[File:Heji32.svg|18px|center]]
|}


=== 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"
{{Sharpness-flat2}}
! Step offset
| +4
| +3
| +2
| +1
| 0
| −1
| −2
| −3
| −4
|-
! Symbol
| [[File:Heji4.svg|24px|center]]
| [[File:HeQd3.svg|24px|center]]
| [[File:Heji11.svg|15px|center]]
| [[File:HeQd1.svg|15px|center]]
| [[File:Heji18.svg|15px|center]]
| [[File:HeQu1.svg|14px|center]]
| [[File:Heji25.svg|17px|center]]
| [[File:HeQu1.svg|14px|center]]
| [[File:Heji32.svg|18px|center]]
|}


=== 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"
{{Sharpness-0}}
! Step offset
| +3
| +2
| +1
| 0
| −1
| −2
| −3
|-
! Symbol
| [[File:Heji21.svg|18px|center]]
| [[File:Heji20.svg|18px|center]]
| [[File:Heji19.svg|18px|center]]
| [[File:Heji18.svg|15px|center]]
| [[File:Heji17.svg|15px|center]]
| [[File:Heji16.svg|15px|center]]
| [[File:Heji15.svg|15px|center]]
|}


== Limitations ==
== Limitations ==
Retrieved from "https://en.xen.wiki/w/Alternative_symbols_for_ups_and_downs_notation"