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'''Sagitype''' is a system for representing [[Sagittal]] symbols as plain text, using characters that approximate their parts. For example, the Sagitype for {{sagittal | /|)}} is <code>/|)</code>.  
'''Sagitype''' is a system for representing [[Sagittal]] symbols as plain text, using characters that approximate their parts. For example, the Sagitype for {{sagittal | /|) }} (patai) is <code>/|)</code>. Another example:  {{sagittal | (|) }} is (|)


Sagitype is useful in environments where access to the actual musical notation glyphs is unavailable, such as email, spreadsheets, and so forth, or when a text-based interface to the glyphs is useful, such as with the [[Template:Sagittal|Sagittal template]] on this wiki; the Sagittal symbol in the previous paragraph, for example, was produced by inserting the <code>/|)</code> Sagitype into the template, like so:
Sagitype is useful in environments where access to the actual musical notation glyphs is unavailable, such as email, spreadsheets, and so forth, or when a text-based interface to the glyphs is useful, such as with the [[Template:Sagittal|Sagittal template]] on this wiki; the Sagittal symbol in the previous paragraph, for example, was produced by inserting the <code>/|)</code> Sagitype into the template, like so:
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<code><nowiki>{{ sagittal| /|) }}</nowiki></code>.
<code><nowiki>{{ sagittal| /|) }}</nowiki></code>.


Sagittal symbols — or "sagittals", for short — are composed of a few parts, each of which is represented separately in Sagitype: the '''shaft''', which is the main vertical stroke, plus any '''flags''', which are the elements extending out from the shaft to the right or left.  
Sagittal symbols — or "sagittals", for short — are composed of a few parts, each of which is represented separately in Sagitype: the '''shaft''', which is the main vertical stroke, plus any '''flags''', which are the elements extending out from the shaft to the right or left. '''Accents''', also called '''diacritics''', are optional and are used for [[schisma]] or [[Mina|smaller]] [http://www.tonalsoft.com/enc/t/tina.aspx sized] deviations. 
 
==Shafts==


== Shafts ==
Sagittals, like arrows, point either up or down depending on which direction they are altering pitch, and that direction is captured by the Sagitype for the shaft:
Sagittals, like arrows, point either up or down depending on which direction they are altering pitch, and that direction is captured by the Sagitype for the shaft:
*A ''pipe'' <code>|</code> is used for the shaft of an up sagittal, such as {{sagittal| |)}} , which is <code>|)</code>.
* A ''pipe'' <code>|</code> is used for the shaft of an up sagittal, such as {{sagittal| |) }}, which is <code>|)</code>.
*A ''bang'' <code>!</code> is used for the shaft of a down sagittal, such as {{sagittal| !)}} , which is <code>!)</code>.
* A ''bang'' <code>!</code> is used for the shaft of a down sagittal, such as {{sagittal| !) }}, which is <code>!)</code>. Think of the dot on the end of the bang as the point of the arrow.
 
==Flags==


== Flags ==
Sagittal has four types of flags: the '''barb''', '''arc''', '''scroll''', and '''boathook'''. Each of these flags may appear either on the left or right side of a sagittal's shaft
Sagittal has four types of flags: the '''barb''', '''arc''', '''scroll''', and '''boathook'''. Each of these flags may appear either on the left or right side of a sagittal's shaft


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{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+ style="font-size: 105%;" | Flags in Sagitype
Flags in Sagitype
! rowspan="3" |flag
! colspan="4" |left
! colspan="4" |right
|-
|-
! colspan="2" |up
! rowspan="3" | Flag
! colspan="2" |down
! colspan="4" | Left
! colspan="2" |up
! colspan="4" | Right
! colspan="2" |down
|-
|-
!Sagitype
! colspan="2" | Up
!Sagittal
! colspan="2" | Down
!Sagitype
! colspan="2" | Up
!Sagittal
! colspan="2" | Down
!Sagitype
!Sagittal
!Sagitype
!Sagittal
|-
|-
|barb
! Sagitype
|<code><nowiki>/|</nowiki></code>
! Sagittal
|{{sagittal | /|}}
! Sagitype
|<code><nowiki>\!</nowiki></code>
! Sagittal
|{{sagittal | \!}}
! Sagitype
|<code><nowiki>|\</nowiki></code>
! Sagittal
|{{sagittal | |\}}
! Sagitype
|<code><nowiki>!/</nowiki></code>
! Sagittal
|{{sagittal | !/}}
|-
|-
|arc
| barb
|<code><nowiki>(|</nowiki></code>
| <code><nowiki>/|</nowiki></code>
|{{sagittal | (|}}
| {{sagittal | /| |size=300%}}
|<code><nowiki>(!</nowiki></code>
| <code><nowiki>\!</nowiki></code>
|{{sagittal | (!}}
| {{sagittal | \! |size=300%}}
|<code><nowiki>|)</nowiki></code>
| <code><nowiki>|\</nowiki></code>
|{{sagittal | |)}}
| {{sagittal | |\ |size=300%}}
|<code><nowiki>!)</nowiki></code>
| <code><nowiki>!/</nowiki></code>
|{{sagittal | !)}}
| {{sagittal | !/ |size=300%}}
|-
|-
|scroll
| arc
|<code><nowiki>)|</nowiki></code>
| <code><nowiki>(|</nowiki></code>
|{{sagittal | )|}}
| {{sagittal | (| |size=300%}}
|<code><nowiki>)!</nowiki></code>
| <code><nowiki>(!</nowiki></code>
|{{sagittal | )!}}
| {{sagittal | (! |size=300%}}
|<code><nowiki>|(</nowiki></code>
| <code><nowiki>|)</nowiki></code>
|{{sagittal | |(}}
| {{sagittal | |) |size=300%}}
|<code><nowiki>!(</nowiki></code>
| <code><nowiki>!)</nowiki></code>
|{{sagittal | !(}}
| {{sagittal | !) |size=300%}}
|-
|-
|boathook
| scroll
|<code><nowiki>~|</nowiki></code>
| <code><nowiki>)|</nowiki></code>
|{{sagittal | ~|}}
| {{sagittal | )| |size=300%}}
|<code><nowiki>~!</nowiki></code>
| <code><nowiki>)!</nowiki></code>
|{{sagittal | ~!}}
| {{sagittal | )! |size=300%}}
|<code><nowiki>|~</nowiki></code>
| <code><nowiki>|(</nowiki></code>
|{{sagittal | |~}}
| {{sagittal | |( |size=300%}}
|<code><nowiki>!~</nowiki></code>
| <code><nowiki>!(</nowiki></code>
|{{sagittal | !~}}
| {{sagittal | !( |size=300%}}
|-
| boathook
| <code><nowiki>~|</nowiki></code>
| {{sagittal | ~| |size=300%}}
| <code><nowiki>~!</nowiki></code>
| {{sagittal | ~! |size=300%}}
| <code><nowiki>|~</nowiki></code>
| {{sagittal | |~ |size=300%}}
| <code><nowiki>!~</nowiki></code>
| {{sagittal | !~ |size=300%}}
|}
|}


So, Sagitype represents:
So, Sagitype represents:
*The barb with the ''slash'' <code>/</code> and ''slosh'' <code>\</code>
* The barb with the ''slash'' <code>/</code> and ''slosh'' <code>\</code>
*The arc with the ''opening parenthesis'' <code>(</code> and the ''closing parenthesis'' <code>)</code>
* The arc with the ''opening parenthesis'' <code>(</code> and the ''closing parenthesis'' <code>)</code>
*The scroll also with opening and closing parentheses (differentiated from the arc by whether they curve towards or away from the shaft)
* The scroll also with opening and closing parentheses (differentiated from the arc by whether they curve towards or away from the shaft)
*The boathook with the ''tilde'' <code>~</code>
* The boathook with the ''tilde'' <code>~</code>


Representing a sagittal with flags on both sides is straightforward. We've already seen how the sagittal {{sagittal | /|)}} , which is the combination of the sagittal with the left barb {{sagittal | /|}} and the sagittal with the right arc {{sagittal | |)}} , is represented with a combination of their respective Sagitypes: <code>/|</code> + <code>|)</code> = <code>/|)</code>. To produce other multi-flag sagittals, then, we can follow this same pattern; for another example, <code>~!</code> + <code>!(</code> = <code>~!(</code> just as {{sagittal | ~!}} + {{sagittal | !(}} = {{sagittal | ~!(}} .
Representing a sagittal with flags on both sides is straightforward. We've already seen how the sagittal {{sagittal | /|) }}, which is the combination of the sagittal with the left barb {{sagittal | /| }} and the sagittal with the right arc {{sagittal | |) }}, is represented with a combination of their respective Sagitypes: <code>/|</code> + <code>|)</code> = <code>/|)</code>. To produce other multi-flag sagittals, then, we can follow this same pattern; for another example, <code>~!</code> + <code>!(</code> = <code>~!(</code> just as {{sagittal | ~! }} + {{sagittal | !( }} = {{sagittal | ~!( }}.


==Multiple flags per side==
== Multiple flags per side ==
 
Some sagittals have multiple flags on one side of the shaft. When the flags are of different types, parentheses are placed further from the shaft than other characters. Here are all the valid flag combinations on each side:
Some sagittals have multiple flags on one side of the shaft. In this case, they are represented in the order that they appear visually relative to the shaft in the center. Here are all the multiple-flag-per-side combinations:


{| class="wikitable center-all"
{| class="wikitable center-all"
|+Sagitype for sagittals with multiple flags per side
|+ style="font-size: 105%;" | Valid flag combinations on each side in Sagitype
! colspan="2" |up
! colspan="2" |down
|-
|-
!Sagitype
! rowspan="3" | Flag combination
!Sagittal
! colspan="4" | Left
!Sagitype
! colspan="4" | Right
!Sagittal
|-
|-
|<code><nowiki>~~|</nowiki></code>
! colspan="2" | Up
|{{sagittal | ~~| }}
! colspan="2" | Down
|<code><nowiki>~~!</nowiki></code>
! colspan="2" | Up
|{{sagittal | ~~! }}
! colspan="2" | Down
|-
|-
|<code><nowiki>//|</nowiki></code>
! Sagitype
|{{sagittal | //| }}
! Sagittal
|<code><nowiki>\\!</nowiki></code>
! Sagitype
|{{sagittal | \\! }}
! Sagittal
! Sagitype
! Sagittal
! Sagitype
! Sagittal
|-
|-
|<code><nowiki>)~|</nowiki></code>
| double barb
|{{sagittal | )~| }}
| <code><nowiki>//|</nowiki></code>
|<code><nowiki>)~!</nowiki></code>
| {{sagittal | //| |size=300%}}
|{{sagittal | )~! }}
| <code><nowiki>\\!</nowiki></code>
| {{sagittal | \\! |size=300%}}
| <code><nowiki>|\\</nowiki></code>
| {{sagittal | |\\ |size=300%}}
| <code><nowiki>!//</nowiki></code>
| {{sagittal | !// |size=300%}}
|-
|-
|<code><nowiki>)/|</nowiki></code>
| arc and barb
|{{sagittal | )/| }}
| <code><nowiki>(/|</nowiki></code>
|<code><nowiki>)\!</nowiki></code>
| {{sagittal | (/| |size=300%}}
|{{sagittal | )\! }}
| <code><nowiki>(\!</nowiki></code>
| {{sagittal | (\! |size=300%}}
| <code><nowiki>|\)</nowiki></code>
| {{sagittal | |\) |size=300%}}
| <code><nowiki>!/)</nowiki></code>
| {{sagittal | !/) |size=300%}}
|-
|-
|<code><nowiki>)//|</nowiki></code>
| scroll and barb
|{{sagittal | )//| }}
| <code><nowiki>)/|</nowiki></code>
|<code><nowiki>)\\!</nowiki></code>
| {{sagittal | )/| |size=300%}}
|{{sagittal | )\\! }}
| <code><nowiki>)\!</nowiki></code>
| {{sagittal | )\! |size=300%}}
|-
|-
|<code><nowiki>(/|</nowiki></code>
| scroll and double barb
|{{sagittal | (/| }}
| <code><nowiki>)//|</nowiki></code>
|<code><nowiki>(\!</nowiki></code>
| {{sagittal | )//| |size=300%}}
|{{sagittal | (\! }}
| <code><nowiki>)\\!</nowiki></code>
| {{sagittal | )\\! |size=300%}}
|-
|-
|<code><nowiki>|\)</nowiki></code>
| double boathook
|{{sagittal | |\) }}
| <code><nowiki>~~|</nowiki></code>
|<code><nowiki>!/)</nowiki></code>
| {{sagittal | ~~| |size=300%}}
|{{sagittal | !/) }}
| <code><nowiki>~~!</nowiki></code>
| {{sagittal | ~~! |size=300%}}
|-
|-
|<code><nowiki>|\\</nowiki></code>
| scroll and boathook
|{{sagittal | |\\ }}
| <code><nowiki>)~|</nowiki></code>
|<code><nowiki>!//</nowiki></code>
| {{sagittal | )~| |size=300%}}
|{{sagittal | !// }}
| <code><nowiki>)~!</nowiki></code>
| {{sagittal | )~! |size=300%}}
|}
|}


==Multiple shafts==
== Multiple shafts ==
A sagittal ''always'' has one or more shafts. When using the [[Sagittal_notation#Evo|Evo]] flavor of Sagittal notation, sagittals always have exactly one shaft; it's only when using the [[Sagittal_notation#Revo|Revo]] flavor that sagittals can have two, three, or four shafts, except that instead of actually having four shafts, sagittals use two crossed shafts, similar to a conventional double-sharp. An <code>X</code> is used for the upward version and a <code>Y</code> for the downward.


A sagittal ''always'' has one or more shafts. When using the [[Sagittal_notation#Evo|Evo]] flavor of Sagittal notation, sagittals always have exactly one shaft; it's only when using the [[Sagittal_notation#Revo|Revo]] flavor that sagittals can have two, three, or four shafts, except that instead of actually having four shafts, sagittals at that point instead use two crossed shafts.
{| class="wikitable center-all"
|+ style="font-size: 105%;" | Multiple shafts in Sagitype
|-
! rowspan="2" | Shafts
! colspan="2" | Up
! colspan="2" | Down
|-
! Sagitype
! Sagittal
! Sagitype
! Sagittal
|-
| style="text-align:left;" | 1: single-shafted
| <code><nowiki>/|\</nowiki></code>
| {{sagittal | /|\ |size=300%}}
| <code><nowiki>\!/</nowiki></code>
| {{sagittal | \!/ |size=300%}}
|-
| style="text-align:left;" | 2: double-shafted
| <code><nowiki>/||\</nowiki></code>
| {{sagittal | /||\ |size=300%}}
| <code><nowiki>\!!/</nowiki></code>
| {{sagittal | \!!/ |size=300%}}
|-
| style="text-align:left;" | 3: triple-shafted
| <code><nowiki>/|||\</nowiki></code>
| {{sagittal | /|||\ |size=300%}}
| <code><nowiki>\!!!/</nowiki></code>
| {{sagittal | \!!!/ |size=300%}}
|-
| style="text-align:left;" | (4): ex-shafted
| <code><nowiki>/X\</nowiki></code>
| {{sagittal | /X\ |size=300%}}
| <code><nowiki>\Y/</nowiki></code>
| {{sagittal | \Y/ |size=300%}}
|}
 
The table above uses the double-barb as the example flag combination to demonstrate every possible combination of shaft count and direction; many other shaft and flag combinations exist, of course, such as <code>(|||</code> = {{sagittal | (||| }} and <code>Y~</code> = {{sagittal | Y~ }}. See [[Sagittal notation#Gallery of symbols|Gallery of symbols]] for a comprehensive view of all possible symbols and their names, excluding accents.
 
== Sagittal-compatible accidentals ==
Sagitype includes plain text codes for conventional accidentals and other accidentals that may be used with sagittals.


{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+ style="font-size: 105%;" | Sagittal-compatibles in Sagitype
Multiple shafts in Sagitype
|-
! colspan="3" | Up
! colspan="3" | Down
|-
! compatible
! Sagitype
! Sagittal
! compatible
! Sagitype
! Sagittal
|-
| natural
| <code><nowiki>h</nowiki></code>
| {{sagittal | h |size=300%}}
|
|
|
|-
| sharp
| <code><nowiki>#</nowiki></code>
| {{sagittal | # |size=300%}}
| flat
| <code><nowiki>b</nowiki></code>
| {{sagittal | b |size=300%}}
|-
| large double-sharp
| <code><nowiki>x</nowiki></code>
| {{sagittal | x |size=300%}}
| double flat
| <code><nowiki>bb</nowiki></code>
| {{sagittal | bb |size=300%}}
|-
| semi-sharp
| <code><nowiki>></nowiki></code>
| {{sagittal | > |size=300%}}
| narrow semi-flat
| <code><nowiki><</nowiki></code>
| {{sagittal | < |size=300%}}
|-
| sesqui-sharp
| <code><nowiki>>#</nowiki></code>
| {{sagittal | ># |size=300%}}
| narrow sesqui-flat
| <code><nowiki><b</nowiki></code>
| {{sagittal | <b |size=300%}}
|-
| Wilson plus
| <code><nowiki>+</nowiki></code>
| {{sagittal | + |size=300%}}
| Wilson minus
| <code><nowiki>-</nowiki></code>
| {{sagittal | - |size=300%}}
|}
 
== Accents ==
Fine-grained Sagittal notations starting with Herculean can use accents to the left of a sagittal or a bare shaft, to indicate very subtle distinctions in pitch.
 
<div class="mw-collapsible mw-collapsed">
{| class="wikitable center-all"
|+ style="font-size: 105%;" | Olympian accents in Sagitype
|-
|-
! rowspan="2" |shafts
! rowspan="2" | Accent
! colspan="2" |up
! colspan="2" | Up
! colspan="2" |down
! colspan="2" | Down
|-
|-
!Sagitype
! Sagitype
!Sagittal
! Sagittal
!Sagitype
! Sagitype
!Sagittal
! Sagittal
|-
|-
|1: single-shafted
| bare shaft
|<code><nowiki>/|\</nowiki></code>
| <code><nowiki>|</nowiki></code>
|{{sagittal | /|\}}
| {{sagittal | | |size=300%}}
|<code><nowiki>\!/</nowiki></code>
| <code><nowiki>!</nowiki></code>
|{{sagittal | \!/}}
| {{sagittal | ! |size=300%}}
|-
|-
|2: double-shafted
| tick
|<code><nowiki>/||\</nowiki></code>
| <code><nowiki>'</nowiki></code>
|{{sagittal | /||\}}
| {{sagittal | ' |size=300%}}
|<code><nowiki>\!!/</nowiki></code>
| <code><nowiki>.</nowiki></code>
|{{sagittal | \!!/}}
| {{sagittal | . |size=300%}}
|-
|-
|3: triple-shafted
| wing
|<code><nowiki>/|||\</nowiki></code>
| <code><nowiki>`</nowiki></code>
|{{sagittal | /|||\}}
| {{sagittal | ` |size=300%}}
|<code><nowiki>\!!!/</nowiki></code>
| <code><nowiki>,</nowiki></code>
|{{sagittal | \!!!/}}
| {{sagittal | , |size=300%}}
|-
|-
|(4): ex-shafted
| bird
|<code><nowiki>/X\</nowiki></code>
| <code><nowiki>``</nowiki></code>
|{{sagittal | /X\}}
| {{sagittal | `` |size=300%}}
|<code><nowiki>\Y/</nowiki></code>
| <code><nowiki>,,</nowiki></code>
|{{sagittal | \Y/}}
| {{sagittal | ,, |size=300%}}
|}
|}


The table above uses the double-barb as the example flag combination to demonstrate every possible combination of shaft count and direction; many other shaft and flag combinations exist, of course, such as <code>(|||</code> = {{sagittal | (||| }} and <code>Y~</code> = {{sagittal | Y~ }} .
{| class="wikitable center-all mw-collapsible mw-collapsed"
|+ style="font-size: 105%;" | Magrathean Accents in Sagitype<br />(insanely fine pitch alterations)
|-
! rowspan="2" | Accent
! colspan="2" | Up
! colspan="2" | Down
|-
! Sagitype
! Sagittal
! Sagitype
! Sagittal
|-
| horn
| <code><nowiki>@1</nowiki></code>
| {{sagittal | @1 |size=300%}}
| <code><nowiki>l1</nowiki></code>
| {{sagittal | l1 |size=300%}}
|-
| wedge
| <code><nowiki>@2</nowiki></code>
| {{sagittal | @2 |size=300%}}
| <code><nowiki>l2</nowiki></code>
| {{sagittal | l2 |size=300%}}
|-
| wing
| <code><nowiki>@3</nowiki></code>
| {{sagittal | @3 |size=300%}}
| <code><nowiki>l3</nowiki></code>
| {{sagittal | l3 |size=300%}}
|-
| hornwing
| <code><nowiki>@4</nowiki></code>
| {{sagittal | @4 |size=300%}}
| <code><nowiki>l4</nowiki></code>
| {{sagittal | l4 |size=300%}}
|-
| wedgewing
| <code><nowiki>@5</nowiki></code>
| {{sagittal | @5 |size=300%}}
| <code><nowiki>l5</nowiki></code>
| {{sagittal | l5 |size=300%}}
|-
| bird
| <code><nowiki>@6</nowiki></code>
| {{sagittal | @6 |size=300%}}
| <code><nowiki>l6</nowiki></code>
| {{sagittal | l6 |size=300%}}
|-
| hornbird
| <code><nowiki>@7</nowiki></code>
| {{sagittal | @7 |size=300%}}
| <code><nowiki>l7</nowiki></code>
| {{sagittal | l7 |size=300%}}
|-
| wedgebird
| <code><nowiki>@8</nowiki></code>
| {{sagittal | @8 |size=300%}}
| <code><nowiki>l8</nowiki></code>
| {{sagittal | l8 |size=300%}}
|-
| wingbird
| <code><nowiki>@9</nowiki></code>
| {{sagittal | @9 |size=300%}}
| <code><nowiki>l9</nowiki></code>
| {{sagittal | l9 |size=300%}}
|-
| dot
| <code><nowiki>@.</nowiki></code>
| {{sagittal | @. |size=300%}}
| <code><nowiki>l.</nowiki></code>
| {{sagittal | l. |size=300%}}
|}
</div>


== See also ==
== See also ==
* [[Template:Sagittal]]
* [https://sagittal.org/Sagittal-SMuFL-Map.pdf The Sagittal-SMuFL Character Map] which gives the Sagitype for every sagittal character individually, including accents used for fine pitch alterations. It also gives the Short-sagitype (single-character codes for common sagittals).


* [https://sagittal.org/Sagittal-SMuFL-Map.pdf The Sagittal-SMuFL Character Map] which gives the Sagitype for every possible sagittal individually, including accents used for fine pitch alterations
[[Category:Sagittal notation]]
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