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24edo: Difference between revisions

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Undo revision 174298 by ArrowHead294 (talk)
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Dave Keenan (talk | contribs)
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Combined two disconnected Sagittal sections. Moved subsections that are purely about interval and chord naming out of the Notation section and gave them their own section.
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In many other edos, 5/4 is downmajor and 11/9 is mid. To agree with this, the term mid is generally preferred over down or downmajor.
In many other edos, 5/4 is downmajor and 11/9 is mid. To agree with this, the term mid is generally preferred over down or downmajor.


==== Interval qualities in color notation ====
=== Sagittal notation ===
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]].
 
==== Evo flavor ====
<imagemap>
File:24-EDO_Evo_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 447 0 607 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 130 106 [[33/32]]
default [[File:24-EDO_Evo_Sagittal.svg]]
</imagemap>
 
==== Revo flavor ====
<imagemap>
File:24-EDO_Revo_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 463 0 623 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 130 106 [[33/32]]
default [[File:24-EDO_Revo_Sagittal.svg]]
</imagemap>
 
==== Evo-SZ flavor ====
<imagemap>
File:24-EDO_Evo-SZ_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 407 0 567 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 130 106 [[33/32]]
default [[File:24-EDO_Evo-SZ_Sagittal.svg]]
</imagemap>
 
Because it contains no Sagittal symbols, this Evo-SZ Sagittal notation is also a Stein-Zimmerman notation.
 
==== Pros and cons ====
Revo [[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]]
 
=== Other quartertone notations ===
Besides the above, 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 quartertone 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
 
== Interval and chord naming ==
==== Using Ups and downs with Color notation ====
Combining ups and downs notation with [[color notation]], qualities can be loosely associated with colors:
Combining ups and downs notation with [[color notation]], qualities can be loosely associated with colors:


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Ups and downs notation can be used to name chords. See [[24edo Chord Names]] and [[Ups and Downs Notation #Chords and Chord Progressions]].  
Ups and downs notation can be used to name chords. See [[24edo Chord Names]] and [[Ups and Downs Notation #Chords and Chord Progressions]].  


=== Sagittal notation ===
=== William Lynch's interval and chord names ===
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]].
 
==== Evo flavor ====
<imagemap>
File:24-EDO_Evo_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 447 0 607 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 130 106 [[33/32]]
default [[File:24-EDO_Evo_Sagittal.svg]]
</imagemap>
 
==== Revo flavor ====
<imagemap>
File:24-EDO_Revo_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 463 0 623 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 130 106 [[33/32]]
default [[File:24-EDO_Revo_Sagittal.svg]]
</imagemap>
 
==== Evo-SZ flavor ====
<imagemap>
File:24-EDO_Evo-SZ_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 407 0 567 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 130 106 [[33/32]]
default [[File:24-EDO_Evo-SZ_Sagittal.svg]]
</imagemap>
 
Because it contains no Sagittal symbols, this Evo-SZ Sagittal notation is also a Stein-Zimmerman notation.
 
=== William Lynch's notation ===
24edo breaks intervals into two sets of five categories. {{dash|Infra, Minor, Neutral, Major, Ultra|space|med}} for seconds, thirds, sixths, and sevenths; and {{dash|diminished, narrow, perfect, wide, augmented|space|med}} for fourths, fifths, unison, and octave.  
24edo breaks intervals into two sets of five categories. {{dash|Infra, Minor, Neutral, Major, Ultra|space|med}} for seconds, thirds, sixths, and sevenths; and {{dash|diminished, narrow, perfect, wide, augmented|space|med}} for fourths, fifths, unison, and octave.  


Line 453: Line 512:
|}
|}


=== Interval alterations ===
==== Interval alterations ====
The special alterations of the intervals and chords of 12edo can be notated like this:
The special alterations of the intervals and chords of 12edo can be notated like this:


Line 480: Line 539:
* 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 ===
=== Further discussion of interval and chord naming ===
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 ===
* [[24edo interval names and harmonies]]
* [[24edo interval names and harmonies]]
* [[24edo Chord Names]]
* [[24edo Chord Names]]
Retrieved from "https://en.xen.wiki/w/24edo"