Kite's thoughts on 41edo Lattices: Difference between revisions

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Chord progressions can be mapped out on the lattice as a series of chord shapes. Often two adjacent chords have a common tone, and the progression "walks" around the lattice. If there are no common tones, the progression "jumps" from one area to another. Often there are several different places to jump. More on this later.

This lattice shows the notes as intervals, and shows how many edosteps each note is from the tonic D.

This lattice shows the notes as intervals, and shows how many [[Arrow|arrows]] (edosteps) each note is from the tonic D.

[[File:The Kite Tuning lattices-1.png|none|thumb|499x499px]]

This lattice is smaller than the previous one, but it still extends far enough to include all 41 notes, except 16 and 25 (v4 and ^5). By coincidence, each number appears exactly once.

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== Commas ==

A comma is a just intonation ratio that is small, less than (roughly) 50¢. In 41-edo aka 41-equal, a comma maps to a small number of ~~edosteps~~, usually 0 or 1, occasionally 2. The technical term for a comma that maps to 0 ~~edosteps~~ is '''vanishing''' comma. On the Kite guitar, mapping to 0, 1 or 2 ~~edosteps~~ can be called a no-fret, half-fret or one-fret comma.

A comma is a just intonation ratio that is small, less than (roughly) 50¢. In 41-edo aka 41-equal, a comma maps to a small number of arrows, usually 0 or 1, occasionally 2. The technical term for a comma that maps to 0 arrows is '''vanishing''' comma. On the Kite guitar, mapping to 0, 1 or 2 arrows can be called a no-fret, half-fret or one-fret comma.

=== 5-limit (ya) commas ===

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!yaza comma

!as a yazala comma

!as a yazalatha ~~commas~~

!as a yazalatha comma

|-

|red vCx

@@ Line 18: / Line 18: @@
 Chord progressions can be mapped out on the lattice as a series of chord shapes. Often two adjacent chords have a common tone, and the progression "walks" around the lattice. If there are no common tones, the progression "jumps" from one area to another. Often there are several different places to jump. More on this later.
-This lattice shows the notes as intervals, and shows how many edosteps each note is from the tonic D.
+This lattice shows the notes as intervals, and shows how many [[Arrow|arrows]] (edosteps) each note is from the tonic D.
 [[File:The Kite Tuning lattices-1.png|none|thumb|499x499px]]
 This lattice is smaller than the previous one, but it still extends far enough to include all 41 notes, except 16 and 25 (v4 and ^5). By coincidence, each number appears exactly once.
@@ Line 31: / Line 31: @@
 == Commas ==
-A comma is a just intonation ratio that is small, less than (roughly) 50¢. In 41-edo aka 41-equal, a comma maps to a small number of edosteps, usually 0 or 1, occasionally 2. The technical term for a comma that maps to 0 edosteps is '''vanishing''' comma. On the Kite guitar, mapping to 0, 1 or 2 edosteps can be called a no-fret, half-fret or one-fret comma.
+A comma is a just intonation ratio that is small, less than (roughly) 50¢. In 41-edo aka 41-equal, a comma maps to a small number of arrows, usually 0 or 1, occasionally 2. The technical term for a comma that maps to 0 arrows is '''vanishing''' comma. On the Kite guitar, mapping to 0, 1 or 2 arrows can be called a no-fret, half-fret or one-fret comma.
 === 5-limit (ya) commas ===
@@ Line 91: / Line 91: @@
 !yaza comma
 !as a yazala comma
-!as a yazalatha commas
+!as a yazalatha comma
 |-
 |red vCx