23edo: Difference between revisions

Line 31:

The second approach preserves the <u>harmonic</u> meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 23edo "on the fly".

===Sagittal notation===

====Best fifth notation====

This notation uses the same sagittal sequence as EDOs [[28edo#Sagittal notation|28]] and [[33edo#Sagittal notation|33]].

File:23-EDO_Sagittal.svg

desc none

rect 80 0 300 50 [[Sagittal_notation]]

rect 367 0 527 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]

rect 20 80 367 106 [[Fractional_3-limit_notation#Bad-fifths_limma-fraction_notation | limma-fraction notation]]

default [[File:23-EDO_Sagittal.svg]]

</imagemap>

====Second best fifth notation====

This notation uses the same sagittal sequence as EDOs [[30edo#Sagittal notation|30]], [[37edo#Sagittal notation|37]], and [[44edo#Sagittal notation|44]].

File:23b_Sagittal.svg

desc none

rect 80 0 300 50 [[Sagittal_notation]]

rect 375 0 535 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]

rect 20 80 375 106 [[Fractional_3-limit_notation#Bad-fifths_apotome-fraction_notation | apotome-fraction notation]]

default [[File:23b_Sagittal.svg]]

</imagemap>

=== Armodue notation ===

@@ Line 31: / Line 31: @@
 The second approach preserves the <u>harmonic</u> meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 23edo "on the fly".
+===Sagittal notation===
+====Best fifth notation====
+This notation uses the same sagittal sequence as EDOs [[28edo#Sagittal notation|28]] and [[33edo#Sagittal notation|33]].
+<imagemap>
+File:23-EDO_Sagittal.svg
+desc none
+rect 80 0 300 50 [[Sagittal_notation]]
+rect 367 0 527 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
+rect 20 80 367 106 [[Fractional_3-limit_notation#Bad-fifths_limma-fraction_notation | limma-fraction notation]]
+default [[File:23-EDO_Sagittal.svg]]
+</imagemap>
+====Second best fifth notation====
+This notation uses the same sagittal sequence as EDOs [[30edo#Sagittal notation|30]], [[37edo#Sagittal notation|37]], and [[44edo#Sagittal notation|44]].
+<imagemap>
+File:23b_Sagittal.svg
+desc none
+rect 80 0 300 50 [[Sagittal_notation]]
+rect 375 0 535 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
+rect 20 80 375 106 [[Fractional_3-limit_notation#Bad-fifths_apotome-fraction_notation | apotome-fraction notation]]
+default [[File:23b_Sagittal.svg]]
+</imagemap>
 === Armodue notation  ===