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In this alphabet, a chain of fifths is preserved because equivalent Greek letters also represent fifths if they are the same as their Latin counterparts. For example G-D is a fifth, and so is γ-δ.
In this alphabet, a chain of fifths is preserved because equivalent Greek letters also represent fifths if they are the same as their Latin counterparts. For example G-D is a fifth, and so is γ-δ.
=== Staff notation ===
==== Sagittal Notation ====
When 22edo is treated as generated by a cycle of its fifths, the naturals F C G D A E B represent a chain of those 13\22 fifths; consequently, the whole tone comes out to four degrees and the apotome (pythagorean sharp/flat) comes out to three degrees. Three pairs of sagittal symbols, dividing that apotome into three parts, are all that is necessary, and offer plenty of enharmonic equivalents:
[[File:22edo.png|alt=22edo.png|22edo.png]]
This notation is consistent with Sagittal's notation of 5-limit JI harmony: "major" 3rds and 6ths appear as (super)pythagorean intervals flattened by a syntonic comma.
The division of the apotome into three syntonic commas also indicates 22's tempering out of the [[250/243|porcupine comma]] (which is equivalent to three syntonic commas minus a Pythagorean apotome).
We also have, from the appendix to [[The Sagittal Songbook]] by [[JacobBarton|Jacob A. Barton]], this diagram of how to notate 22-EDO in the Revo flavor of Sagittal:
[[File:22edo Sagittal.png|800px]]
==== Ups and Downs Notation ====
Treating [[Ups and Downs Notation|ups and downs]] as "fused" with sharps and flats, and never appearing separately:
[[File:Tibia_22edo_ups_and_downs_guide_1.png|alt=Tibia 22edo ups and downs guide 1.png|800x147px|Tibia 22edo ups and downs guide 1.png]]
Treating ups and downs as independent of sharps and flats, and sometimes appearing separately:
[[File:Tibia_22edo_ups_and_downs_guide_2.png|alt=Tibia 22edo ups and downs guide 2.png|800x150px|Tibia 22edo ups and downs guide 2.png]]
A D downmajor scale with mandatory accidentals (no key signature), with minimal accidentals (only when needed to override the key signature), and with independent ups and downs.
[[File:Tibia_22edo_guide_D_major.png|alt=Tibia 22edo guide D major.png|800x68px|Tibia 22edo guide D major.png]]
Shown below is [[Paul Erlich]]'s "Tibia" in G, with independent ups and downs.
<gallery>
Tibia in G CORRECTED-1.png|alt=Tibia in G CORRECTED-1.png|200px|thumb|left|Tibia in G (page 1)
Tibia in G CORRECTED-2.png|alt=Tibia in G CORRECTED-2.png|200px|thumb|center|Tibia in G (page 2)
</gallery>


== Chord names ==
== Chord names ==
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For a more complete list, see [[22edo Chord Names]] and [[Ups and Downs Notation #Chords and Chord Progressions]].
For a more complete list, see [[22edo Chord Names]] and [[Ups and Downs Notation #Chords and Chord Progressions]].
=== Staff notation ===
==== Sagittal Notation ====
When 22edo is treated as generated by a cycle of its fifths, the naturals F C G D A E B represent a chain of those 13\22 fifths; consequently, the whole tone comes out to four degrees and the apotome (pythagorean sharp/flat) comes out to three degrees. Three pairs of sagittal symbols, dividing that apotome into three parts, are all that is necessary, and offer plenty of enharmonic equivalents:
[[File:22edo.png|alt=22edo.png|22edo.png]]
This notation is consistent with Sagittal's notation of 5-limit JI harmony: "major" 3rds and 6ths appear as (super)pythagorean intervals flattened by a syntonic comma.
The division of the apotome into three syntonic commas also indicates 22's tempering out of the [[250/243|porcupine comma]] (which is equivalent to three syntonic commas minus a Pythagorean apotome).
We also have, from the appendix to [[The Sagittal Songbook]] by [[JacobBarton|Jacob A. Barton]], this diagram of how to notate 22-EDO in the Revo flavor of Sagittal:
[[File:22edo Sagittal.png|800px]]
==== Ups and Downs Notation ====
Treating [[Ups and Downs Notation|ups and downs]] as "fused" with sharps and flats, and never appearing separately:
[[File:Tibia_22edo_ups_and_downs_guide_1.png|alt=Tibia 22edo ups and downs guide 1.png|800x147px|Tibia 22edo ups and downs guide 1.png]]
Treating ups and downs as independent of sharps and flats, and sometimes appearing separately:
[[File:Tibia_22edo_ups_and_downs_guide_2.png|alt=Tibia 22edo ups and downs guide 2.png|800x150px|Tibia 22edo ups and downs guide 2.png]]
A D downmajor scale with mandatory accidentals (no key signature), with minimal accidentals (only when needed to override the key signature), and with independent ups and downs.
[[File:Tibia_22edo_guide_D_major.png|alt=Tibia 22edo guide D major.png|800x68px|Tibia 22edo guide D major.png]]
Shown below is [[Paul Erlich]]'s "Tibia" in G, with independent ups and downs.
<gallery>
Tibia in G CORRECTED-1.png|alt=Tibia in G CORRECTED-1.png|200px|thumb|left|Tibia in G (page 1)
Tibia in G CORRECTED-2.png|alt=Tibia in G CORRECTED-2.png|200px|thumb|center|Tibia in G (page 2)
</gallery>


== JI approximation ==
== JI approximation ==
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