User:CompactStar/Letter comma notation: Difference between revisions

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VERY WIP (I'll move it to the main namespace if it's finished.)

The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar|CompactStar]] for [[just intonation]] up to the [[31-limit]] as well as [[regular temperament]]s based on it. It is based on [[3-limit]] notation with ~~the~~ letters H-Y used as accidentals ~~representing higher~~-limit ~~[[comma]]s (starting from H to avoid conflict with note names). Each comma~~ is ~~associated to a [[prime~~ limit~~]] and uses 2 letters~~, ~~one for the~~ ascending ~~accidental~~ and ~~one for the descending accidental~~. It bears ~~some similarities~~ to [[~~SKULO interval names]] and the [[Functional Just System~~]].

The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar|CompactStar]] for [[just intonation]] up to the [[31-limit]] as well as [[regular temperament]]s based on it. As with other JI notations, it is based on [[3-limit]] notation with a set of accidentals corresponding to a formal comma for each prime limit. The letters H-Z are used for these accidentals, and alternate between ascending and descending, so H is 5-limit ascending, I is 5-limit descending, J is 7-limit ascending, K is 7-limit descending and so on. This notation bears similarity to [[FJS]] but it aims to be more easily typable.

== ~~Accidentals~~ ==

== Full list of formal commas ==

{|class="wikitable"

|-

!Prime limit

!Letter

!~~Ratio~~

!Comma

!Letter

!~~Ratio~~

!Comma

|-

|5

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|}

~~The letters are placed before interval and note names~~, so [[5/4]] is IM3 ~~(I-major third)~~ and [[7/4]] is Km7 ~~(K-minor seventh), and above C these would be IE and KBb. When letters are stacked, they are put in alphabetical order, so [[7/5]] is IJd5.~~

For example, [[5/4]] is IM3 and [[7/4]] is Km7

== ~~For tempered systems~~ ==

== Full list of formal commas ==

This system can also be used to notate [[regular temperament]]s, including both [[equal temperament]]s and multirank temperaments. It should be noted that [[EDO]] systems will have many different temperament interpretations, and thus typically will have many different possible notations (for example, 24edo can be notated with the quarter-tone as J = [[64/63]], L = [[33/32]], N = [[1053/1024]] and so on).

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 VERY WIP (I'll move it to the main namespace if it's finished.)
-The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar|CompactStar]] for [[just intonation]] up to the [[31-limit]] as well as [[regular temperament]]s based on it. It is based on [[3-limit]] notation with the letters H-Y used as accidentals representing higher-limit [[comma]]s (starting from H to avoid conflict with note names). Each comma is associated to a [[prime limit]] and uses 2 letters, one for the ascending accidental and one for the descending accidental. It bears some similarities to [[SKULO interval names]] and the [[Functional Just System]].
+The '''letter comma notation''' (LCN) is a notation scheme developed by [[User:CompactStar|CompactStar]] for [[just intonation]] up to the [[31-limit]] as well as [[regular temperament]]s based on it. As with other JI notations, it is based on [[3-limit]] notation with a set of accidentals corresponding to a formal comma for each prime limit. The letters H-Z are used for these accidentals, and alternate between ascending and descending, so H is 5-limit ascending, I is 5-limit descending, J is 7-limit ascending, K is 7-limit descending and so on. This notation bears similarity to [[FJS]] but it aims to be more easily typable.
-== Accidentals ==
+== Full list of formal commas ==
 {|class="wikitable"
 |-
 !Prime limit
 !Letter
-!Ratio
+!Comma
 !Letter
-!Ratio
+!Comma
 |-
 |5
@@ Line 67: / Line 67: @@
 |}
-The letters are placed before interval and note names, so [[5/4]] is IM3 (I-major third) and [[7/4]] is Km7 (K-minor seventh), and above C these would be IE and KBb. When letters are stacked, they are put in alphabetical order, so [[7/5]] is IJd5.
+For example, [[5/4]] is IM3 and [[7/4]] is Km7
-== For tempered systems ==
+== Full list of formal commas ==
-This system can also be used to notate [[regular temperament]]s, including both [[equal temperament]]s and multirank temperaments. It should be noted that [[EDO]] systems will have many different temperament interpretations, and thus typically will have many different possible notations (for example, 24edo can be notated with the quarter-tone as J = [[64/63]],  L = [[33/32]], N = [[1053/1024]] and so on).