8edo: Difference between revisions

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== Notation ==

~~=== Ups and downs notation ===~~

8edo can be notated as a subset of 24edo, using [[Ups and Downs Notation|ups and downs]]. It can also be notated as a subset of 16edo, but this is a less intuitive notation.

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|}

This is a heptatonic notation generated by 5ths (5th meaning 3/2).

This is a heptatonic notation generated by 5ths (5th meaning 3/2). Alternative notations include pentatonic 5th-generated, octatonic, and heptatonic 2nd-generated.

~~===Sagittal notation===~~

~~This notation is a subset of the notations for EDOs [[24edo#Sagittal notation|24]], [[48edo#Sagittal notation|48]], and [[72edo#Sagittal notation|72]].~~

~~====Evo flavor====~~

~~<imagemap>~~

~~File:8-EDO_Evo_Sagittal.svg~~

~~desc none~~

~~rect 80 0 300 50 [[Sagittal_notation]]~~

~~rect 392 0 552 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]~~

~~rect 20 80 392 106 [[24-EDO#Sagittal_notation | 24-EDO notation]]~~

~~default [[File:8-EDO_Evo_Sagittal.svg]]~~

~~</imagemap>~~

~~====Revo flavor====~~

~~<imagemap>~~

~~File:8-EDO_Revo_Sagittal.svg~~

~~desc none~~

~~rect 80 0 300 50 [[Sagittal_notation]]~~

~~rect 400 0 560 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]~~

~~rect 20 80 400 106 [[24-EDO#Sagittal_notation | 24-EDO notation]]~~

~~default [[File:8-EDO_Revo_Sagittal.svg]]~~

~~</imagemap>~~

~~====Evo-SZ flavor====~~

~~<imagemap>~~

~~File:8-EDO_Evo-SZ_Sagittal.svg~~

~~desc none~~

~~rect 80 0 300 50 [[Sagittal_notation]]~~

~~rect 376 0 536 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]~~

~~rect 20 80 376 106 [[24-EDO#Sagittal_notation | 24-EDO notation]]~~

~~default [[File:8-EDO_Evo-SZ_Sagittal.svg]]~~

~~</imagemap>~~

~~Because it contains no Sagittal symbols, this Evo-SZ Sagittal notation is also a Stein-Zimmerman notation.~~

~~=== Alternative notations ===~~

Alternative notations include pentatonic 5th-generated, octatonic, and heptatonic 2nd-generated.

'''<u>Pentatonic 5th-generated</u>: D * E G * A C * D''' (generator = 5\8 = perfect 5thoid)

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Enharmonic unison: d2

== Chord names ==

=== Chord names ===

[[Ups and Downs Notation #Chords and Chord Progressions|Ups and downs]] can name any 8edo chord. Alterations are always enclosed in parentheses, additions never are. An up, down or mid immediately after the chord root affects the 3rd, 6th, 7th, and/or the 11th (every other note of a stacked-3rds chord 6-1-3-5-7-9-11-13).

@@ Line 87: / Line 87: @@
 == Notation ==
-=== Ups and downs notation ===
 edo can be notated as a subset of 24edo, using [[Ups and Downs Notation|ups and downs]]. It can also be notated as a subset of 16edo, but this is a less intuitive notation.
@@ Line 201: / Line 200: @@
 |}
-This is a heptatonic notation generated by 5ths (5th meaning 3/2).
+This is a heptatonic notation generated by 5ths (5th meaning 3/2). Alternative notations include pentatonic 5th-generated, octatonic, and heptatonic 2nd-generated.
-===Sagittal notation===
-This notation is a subset of the notations for EDOs [[24edo#Sagittal notation|24]], [[48edo#Sagittal notation|48]], and [[72edo#Sagittal notation|72]].
-====Evo flavor====
-<imagemap>
-File:8-EDO_Evo_Sagittal.svg
-desc none
-rect 80 0 300 50 [[Sagittal_notation]]
-rect 392 0 552 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
-rect 20 80 392 106 [[24-EDO#Sagittal_notation | 24-EDO notation]]
-default [[File:8-EDO_Evo_Sagittal.svg]]
-</imagemap>
-====Revo flavor====
-<imagemap>
-File:8-EDO_Revo_Sagittal.svg
-desc none
-rect 80 0 300 50 [[Sagittal_notation]]
-rect 400 0 560 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
-rect 20 80 400 106 [[24-EDO#Sagittal_notation | 24-EDO notation]]
-default [[File:8-EDO_Revo_Sagittal.svg]]
-</imagemap>
-====Evo-SZ flavor====
-<imagemap>
-File:8-EDO_Evo-SZ_Sagittal.svg
-desc none
-rect 80 0 300 50 [[Sagittal_notation]]
-rect 376 0 536 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
-rect 20 80 376 106 [[24-EDO#Sagittal_notation | 24-EDO notation]]
-default [[File:8-EDO_Evo-SZ_Sagittal.svg]]
-</imagemap>
-Because it contains no Sagittal symbols, this Evo-SZ Sagittal notation is also a Stein-Zimmerman notation.
-=== Alternative notations ===
-Alternative notations include pentatonic 5th-generated, octatonic, and heptatonic 2nd-generated.
 '''<u>Pentatonic 5th-generated</u>: D * E G * A C * D'''  (generator = 5\8 = perfect 5thoid)
@@ Line 273: / Line 232: @@
 Enharmonic unison: d2
-== Chord names ==
+=== Chord names ===
 [[Ups and Downs Notation #Chords and Chord Progressions|Ups and downs]] can name any 8edo chord. Alterations are always enclosed in parentheses, additions never are. An up, down or mid immediately after the chord root affects the 3rd, 6th, 7th, and/or the 11th (every other note of a stacked-3rds chord 6-1-3-5-7-9-11-13).