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== Notation ==
== Notation ==
There are multiple ways of notating 24edo. While an arguably common form can be seen on [[Wikipedia: Quarter tone #Interval size in equal temperament|Wikipedia's page on quartertones]], there are other forms, and it is these other forms that will be considered here.
There are multiple ways of notating 24edo. While an arguably common form can be seen on [[Wikipedia: Quarter tone #Interval size in equal temperament|Wikipedia's page on quartertones]], there are other forms, and it is these other forms that will be considered here.
=== Quartertone notations ===
Besides ups and downs, there are various systems for notating quarter tones. Here are some of them, along with their pros and cons.
==== Mainstream quartertone accidentals ====
[[Category:IMPORTDEBUG - Change External Images]]
{{Sharpness-sharp2|24}}
{| class="wikitable center-1"
|-
| style="width: 40px;" | [[File:HeQu1.svg|21px|center]]
| A "semisharp" or "half-sharp" accidental comprising one half of a regular musical sharp symbol.
|-
| style="width: 40px;" | [[File:HeQu3.svg|32px|center]]
| A "sharp and a half" or "sesquisharp" accidental, comprising the above half-sharp symbol connected to the right side of a normal sharp.
|-
| style="width: 40px;" | [[File:HeQd1.svg|22px|center]]
| A "semiflat" or "half-flat" accidental, comprising a flat symbol mirrored horizontally so that the lobe is facing left.
|-
| style="width: 40px;" | [[File:HeQd3.svg|36px|center]]
| A "flat and a half" or "sesquiflat" accidental, comprising a half-flat symbol and a regular flat symbol placed back to back.
|}
==== Persian accidentals ====
{| class="wikitable"
|-
| width="40px" |[[File:Koron_sign.svg|39px|center]]
| '''Koron''' ([[Wikipedia: Koron (music)|Wikipedia]]) = Quarter-tone flat
|-
| width="40px" |[[File:Sori_sign.svg|39px|center]]
| '''Sori''' ([[Wikipedia: Sori (music)|Wikipedia]]) = Quarter-tone sharp
|}


=== Ups and downs notation ===
=== Ups and downs notation ===
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! Degree
! Degree
! Cents
! Cents
! Approximate ratios<ref group="note">{{sg|limit=2.3.5.11.13.17.19&nbsp;[[subgroup]]}}</ref>
! Approximate ratios<ref group="note">{{sg|limit=2.3.5.11.13.17.19.35&nbsp;[[subgroup]]}}</ref>
! colspan="3" | [[Ups and downs notation]] ([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and d2)
! colspan="3" | [[Ups and downs notation]] ([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and d2)
! colspan="3" | [[SKULO interval names|SKULO notation]] {{nowrap|(U or S {{=}} 1)}}
! colspan="3" | [[SKULO interval names|SKULO notation]] {{nowrap|(U or S {{=}} 1)}}
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| 1
| 1
| 50
| 50
| 33/32, 34/33
| 33/32, 34/33, 35/34, 36/35
| ^P1, vm2
| ^P1, vm2
| up-unison, downminor 2nd
| up-unison, downminor 2nd
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| 3
| 3
| 150
| 150
| 13/12, 12/11, 11/10
| 35/32, 13/12, 12/11, 11/10
| ~2
| ~2
| mid 2nd
| mid 2nd
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=== Sagittal notation ===
=== Sagittal notation ===
[[Sagittal notation]] works extremely well for 24edo notation as well as other systems.
It is easy on the eyes, easy to recognize the various symbols and keeps a score looking tidy and neat.
This notation uses the same sagittal sequence as EDOs [[17edo#Sagittal notation|17]], [[31edo#Sagittal notation|31]], and [[38edo#Sagittal notation|38]], is a subset of the notations for EDOs [[48edo#Sagittal notation|48]] and [[72edo#Sagittal notation|72]], and is a superset of the notations for EDOs [[12edo#Sagittal notation|12]], [[8edo#Sagittal notation|8]], and [[6edo#Sagittal notation|6]].
This notation uses the same sagittal sequence as EDOs [[17edo#Sagittal notation|17]], [[31edo#Sagittal notation|31]], and [[38edo#Sagittal notation|38]], is a subset of the notations for EDOs [[48edo#Sagittal notation|48]] and [[72edo#Sagittal notation|72]], and is a superset of the notations for EDOs [[12edo#Sagittal notation|12]], [[8edo#Sagittal notation|8]], and [[6edo#Sagittal notation|6]].


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* Neutral Super Eleventh or neut^11 = C neutral 7th chord with a super 11th thrown on top
* Neutral Super Eleventh or neut^11 = C neutral 7th chord with a super 11th thrown on top
* Arto Sub Seventh Tendo Thirteenth or artsub7^13 = Arto tetrad with an arto seventh and a tendo thirteenth on top Minor Seventh Flat Five Arto Ninth Super Eleventh or m7b5^9^11
* Arto Sub Seventh Tendo Thirteenth or artsub7^13 = Arto tetrad with an arto seventh and a tendo thirteenth on top Minor Seventh Flat Five Arto Ninth Super Eleventh or m7b5^9^11
=== Quartertone notations ===
Besides ups and downs, there are various systems for notating quarter tones. Here are some of them, along with their pros and cons.
==== Mainstream quartertone accidentals ====
[[Category:IMPORTDEBUG - Change External Images]]
{{Sharpness-sharp2|24}}
{| class="wikitable center-1"
|-
| style="width: 40px;" | [[File:HeQu1.svg|21px|center]]
| A "semisharp" or "half-sharp" accidental comprising one half of a regular musical sharp symbol.
|-
| style="width: 40px;" | [[File:HeQu3.svg|32px|center]]
| A "sharp and a half" or "sesquisharp" accidental, comprising the above half-sharp symbol connected to the right side of a normal sharp.
|-
| style="width: 40px;" | [[File:HeQd1.svg|22px|center]]
| A "semiflat" or "half-flat" accidental, comprising a flat symbol mirrored horizontally so that the lobe is facing left.
|-
| style="width: 40px;" | [[File:HeQd3.svg|36px|center]]
| A "flat and a half" or "sesquiflat" accidental, comprising a half-flat symbol and a regular flat symbol placed back to back.
|}
'''Pros:''' Familiar, fairly easy to learn
[[Category:IMPORTDEBUG - Change External Images]]
'''Cons:''' Clutters a score easily, can get confusing when sight read at faster paces
==== Persian accidentals ====
{| class="wikitable"
|-
| width="40px" |[[File:Koron_sign.svg|39px|center]]
| '''Koron''' ([[Wikipedia: Koron (music)|Wikipedia]]) = Quarter-tone flat
|-
| width="40px" |[[File:Sori_sign.svg|39px|center]]
| '''Sori''' ([[Wikipedia: Sori (music)|Wikipedia]]) = Quarter-tone sharp
|}
'''Pros:''' Easy to read
'''Cons:''' Hard to write on a computer, doesn't fit with standard notation well
==== Sagittal accidentals====
[[Sagittal notation]] works extremely well for 24edo notation as well as other systems.
It is easy on the eyes, easy to recognize the various symbols and keeps a score looking tidy and neat.
A possibility for the best approach would be to not use traditional sharps and flats altogether and replace them with Sagittal signs for sharp and flat.
[[File:sagittal_24.PNG|alt=sagittal 24.PNG|sagittal 24.PNG]]
'''Pros:''' Easy to read, and less likely to clutter the score
'''Cons:''' Not as familiar as traditional notation, and thus not immediately accessible to many traditional musicians who are just starting out with microtonality
We also have, from the appendix to [[The Sagittal Songbook]] by [[Jacob Barton|Jacob A. Barton]], a diagram of how to notate 24edo in the Revo flavor of Sagittal:
[[File:24edo Sagittal.png|800px]]


=== Further discussion of 24edo notation ===
=== Further discussion of 24edo notation ===
Retrieved from "https://en.xen.wiki/w/24edo"