31edo: Difference between revisions

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 == Notations ==
-'''Quarter-tone notation''' is much like ups and downs notation. Between C and D (do and re) for example, we have the following notes:
+=== Neutral circle-of-fifths notation ===
+[[Neutral circle-of-fifths notation]] is much like ups and downs notation. Between C and D (do and re) for example, we have the following notes:
 {| class="wikitable"
 |-
-| |'''Degree'''
+! Degree
-| |'''Letter'''
+! Letter
-| |'''Name'''
+! Name
-| |'''English full name'''
+! English full name
 |-
-| |0
+| 0
-| |C
+| C
-| |do
+| do
-| | C
+| C
 |-
-| |1
+| 1
-| |C+
+| C+
-| |do+
+| do+
-| |C half-sharp
+| C half-sharp
 |-
-| |2
+| 2
-| |C#
+| C#
-| |do#
+| do#
-| |C sharp
+| C sharp
 |-
-| | 3
+| 3
-| |Db
+| Db
-| |re b
+| re b
-| |D flat
+| D flat
 |-
-| |4
+| 4
-| | Dd
+| Dd
-| |re d
+| re d
-| |D half-flat
+| D half-flat
 |-
-| |5
+| 5
-| |D
+| D
-| |re
+| re
-| |D
+| D
-|}'''Extended pythagorean notation''' uses double sharps and double flats:
+|}
+=== Circle-of-fifths notation ===
+[[Circle-of-fifths notation]] uses double sharps and double flats:
 {| class="wikitable"
 |-
-| |'''Degree'''
+! Degree
-| |'''Letter'''
+! Letter
-| |'''Name'''
+! Name
-| |'''English full name'''
+! English full name
 |-
-| |0
+| 0
-| |C
+| C
-| |do
+| do
-| |C
+| C
 |-
-| |1
+| 1
-| |Dbb
+| Dbb
-| |re bb
+| re bb
-| |D double flat
+| D double flat
 |-
-| |2
+| 2
-| |C#
+| C#
-| |do #
+| do #
-| |C sharp
+| C sharp
 |-
-| |3
+| 3
-| | Db
+| Db
-| |re b
+| re b
-| |D flat
+| D flat
 |-
-| |4
+| 4
-| |Cx
+| Cx
-| |do x
+| do x
-| |C double sharp
+| C double sharp
 |-
-| | 5
+| 5
-| |D
+| D
-| |re
+| re
-| |D
+| D
-|}While using double sharp and double flat may seem confusing because it alternates between C and D, it provides a way of writing chords that is consistent with traditional notation. For example, the subminor7 chord 12:14:18:21 is written like so:
+|}
+While using double sharp and double flat may seem confusing because it alternates between C and D, it provides a way of writing chords that is consistent with traditional notation. For example, the subminor7 chord 12:14:18:21 is written like so:
 * C / D# / G / A#
 *C# / Dx / G# / Ax
 *Db / E / Ab / B
 * D / E# / A / B#
-In 12-edo, we have the enharmonic equivalences C# = Db and E# = F. But in 31-edo we have:
-*Cx = Dd
+In 12edo, we have the enharmonic equivalences C# = Db and E# = F. But in 31edo we have:
-*C+ = Dbb
+* Cx = Dd
-*E# = Fd
+* C+ = Dbb
-*E+ = Fb
+* E# = Fd
-*Ex = F+
+* E+ = Fb
-*Ed = Fbb
+* Ex = F+
-'''Revo Sagittal notation''', from the appendix to [[The Sagittal Songbook]] by [[Jacob Barton|Jacob A. Barton]]:
+* Ed = Fbb
+=== Sagittal notation ===
+The Revo flavor of Sagittal notation from the appendix to [[The Sagittal Songbook]] by [[Jacob Barton|Jacob A. Barton]]:
 [[File:31edo Sagittal.png|800px]]