18edo: Difference between revisions

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== Intervals and notation ==

18edo ~~can be~~ notated with ups and downs. The notational 5th is the 2nd-best approximation of 3/2, 10\18. This is only 4¢ worse that the best approximation, which becomes the up-fifth. Using this 5th allows conventional notation to be used, including the staff, note names, relative notation, etc. There are two ways to do this.

18edo is usually notated with ups and downs. The notational 5th is the 2nd-best approximation of 3/2, 10\18. This is only 4¢ worse that the best approximation, which becomes the up-fifth. Using this 5th allows conventional notation to be used, including the staff, note names, relative notation, etc. There are two ways to do this:

The first way preserves the <u>melodic</u> meaning of sharp/flat, major/minor and aug/dim, in that sharp is higher pitched than flat, and major/aug is wider than minor/dim. The disadvantage to this approach is that conventional interval arithmetic no longer works. e.g. M2 + M2 isn't M3, and D + M2 isn't E. Chord names are different because C - E - G isn't P1 - M3 - P5.

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genchain of thirds: ...A4 - A6 - A1 - A3 - M5 - M7 - M2 - M4 - P6 - P1 - P3 - m5 - m7 - m2 - m4 - d6 - d8 - d3 - d5...

Another notation ~~(that I myself came up with)~~ has the following notes: A A# Bb B B# Cb C C# Db D D# Eb E E# Fb F F# Ab (A). The intervals would be as follows: P1 M1 m2 P2 M2 m3 P3 M3 m4 P4 M4 m5 P5 M5 m6 P6 M6 m7 P7 (8ve above P1). Thus, the 5th of 11\18 becomes notated (from A) as D#, forming a major 4th. The five-line staff can still be used, but the F and C clefs are the only usable clefs. An F clef staff would have notes F A B C D E F A B. ~~(Feel free~~ to change this as ~~you~~ see fit.)

=== MisterShafXen's notation ===

Another notation, developed by [[User:MisterShafXen]], has the following notes: A A# Bb B B# Cb C C# Db D D# Eb E E# Fb F F# Ab (A).

The intervals would be as follows: P1 M1 m2 P2 M2 m3 P3 M3 m4 P4 M4 m5 P5 M5 m6 P6 M6 m7 P7 (8ve above P1). Thus, the 5th of 11\18 becomes notated (from A) as D#, forming a major 4th.

The five-line staff can still be used, but the F and C clefs are the only usable clefs. An F clef staff would have notes F A B C D E F A B.

[[User:MisterShafXen]] encourages others to change this as they see fit.

== Representations of JI intervals ==

@@ Line 23: / Line 23: @@
 == Intervals and notation ==
-edo can be notated with ups and downs. The notational 5th is the 2nd-best approximation of 3/2, 10\18. This is only 4¢ worse that the best approximation, which becomes the up-fifth. Using this 5th allows conventional notation to be used, including the staff, note names, relative notation, etc. There are two ways to do this.
+edo is usually notated with ups and downs. The notational 5th is the 2nd-best approximation of 3/2, 10\18. This is only 4¢ worse that the best approximation, which becomes the up-fifth. Using this 5th allows conventional notation to be used, including the staff, note names, relative notation, etc. There are two ways to do this:
 The first way preserves the <u>melodic</u> meaning of sharp/flat, major/minor and aug/dim, in that sharp is higher pitched than flat, and major/aug is wider than minor/dim. The disadvantage to this approach is that conventional interval arithmetic no longer works. e.g. M2 + M2 isn't M3, and D + M2 isn't E. Chord names are different because C - E - G isn't P1 - M3 - P5.
@@ Line 253: / Line 253: @@
 genchain of thirds: ...A4 - A6 - A1 - A3 - M5 - M7 - M2 - M4 - P6 - P1 - P3 - m5 - m7 - m2 - m4 - d6 - d8 - d3 - d5...
-Another notation (that I myself came up with) has the following notes: A A# Bb B B# Cb  C C# Db D D# Eb E E# Fb F F# Ab (A). The intervals would be as follows: P1 M1 m2 P2 M2 m3 P3 M3 m4 P4 M4 m5 P5 M5 m6 P6 M6 m7 P7 (8ve above P1). Thus, the 5th of 11\18 becomes notated (from A) as D#, forming a major 4th. The five-line staff can still be used, but the F and C clefs are the only usable clefs. An F clef staff would have notes F A B C D E F A B. (Feel free to change this as you see fit.)
+=== MisterShafXen's notation ===
+Another notation, developed by [[User:MisterShafXen]], has the following notes: A A# Bb B B# Cb  C C# Db D D# Eb E E# Fb F F# Ab (A).
+The intervals would be as follows: P1 M1 m2 P2 M2 m3 P3 M3 m4 P4 M4 m5 P5 M5 m6 P6 M6 m7 P7 (8ve above P1). Thus, the 5th of 11\18 becomes notated (from A) as D#, forming a major 4th.
+The five-line staff can still be used, but the F and C clefs are the only usable clefs. An F clef staff would have notes F A B C D E F A B.
+[[User:MisterShafXen]] encourages others to change this as they see fit.
 == Representations of JI intervals ==