User:CompactStar/Letter comma notation: Difference between revisions

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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.
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.
{|class="wikitable"
|-
!Prime limit
!Letter
!Ratio
!Letter
!Ratio
|-
|5
|H
|[[81/80]]
|I
|80/81
|-
|7
|J
|[[64/63]]
|K
|63/64
|-
|11
|L
|[[33/32]]
|M
|32/33
|-
|13
|N
|[[1053/1024]]
|O
|1024/1053
|-
|17
|P
|[[4131/4096]]
|Q
|4096/4131
|-
|19
|R
|[[513/512]]
|S
|512/513
|-
|23
|T
|[[736/729]]
|U
|729/736
|-
|29
|V
|[[261/256]]
|W
|256/261
|-
|31
|X
|[[32/31]]
|Y
|31/32
|}
For example, [[5/4]] is IM3 and [[7/4]] is Km7


== Full list of formal commas ==
== Full list of formal commas ==

Revision as of 01:25, 23 April 2024

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 CompactStar for just intonation up to the 31-limit as well as regular temperaments 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.

Prime limit Letter Ratio Letter Ratio
5 H 81/80 I 80/81
7 J 64/63 K 63/64
11 L 33/32 M 32/33
13 N 1053/1024 O 1024/1053
17 P 4131/4096 Q 4096/4131
19 R 513/512 S 512/513
23 T 736/729 U 729/736
29 V 261/256 W 256/261
31 X 32/31 Y 31/32

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

Full list of formal commas

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