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.)
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 [[101-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.


== Commas ==
== Full list of formal commas ==
{|class="wikitable"
{|class="wikitable"
|-
|-
Line 9: Line 9:
!Letter
!Letter
!Comma
!Comma
|-
!Letter
|3
!Comma
|b
|[[531441/524288]]
|-
|-
|5
|5
|c
|H
|[[81/80]]
|[[81/80]]
|I
|80/81
|-
|-
|7
|7
|d
|J
[[64/63]]
|[[64/63]]
|K
|63/64
|-
|-
|11
|11
|e
|L
|[[33/32]]
|[[33/32]]
|M
|32/33
|-
|-
|13
|13
|f
|N
|[[1053/1024]]
|[[1053/1024]]
|O
|1024/1053
|-
|-
|17
|17
|g
|P
|[[2187/2176]]
|[[4131/4096]]
|Q
|4096/4131
|-
|-
|19
|19
|h
|R
|[[513/512]]
|[[513/512]]
|S
|512/513
|-
|-
|23
|23
|i
|T
|[[736/729]]
|[[736/729]]
|U
|729/736
|-
|-
|29
|29
|j
|V
|[[261/256]]
|[[261/256]]
|W
|256/261
|-
|-
|31
|31
|k
|X
|[[248/243]]
|[[32/31]]
|-
|Y
|37
|31/32
|l
|[[37/36]]
|-
|41
|m
|[[82/81]]
|-
|43
|n
|[[129/128]]
|-
|47
|o
|[[48/47]]
|-
|53
|p
|[[54/53]]
|-
|59
|q
|[[243/236]]
|-
|61
|r
|[[244/243]]
|-
|67
|s
|[[16384/16281]]
|-
|71
|t
|[[72/71]]
|-
|73
|u
|[[73/72]]
|-
|79
|v
|[[81/79]]
|-
|83
|w
|[[256/249]]
|-
|89
|x
|[[729/712]]
|-
|97
|y
|[[97/96]]
|-
|101
|z
|[[8192/8181]]
|}
|}
For example, [[5/4]] is IM3 and [[7/4]] is Km7
== Full list of formal commas ==

Latest revision as of 01:26, 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.

Full list of formal commas

Prime limit Letter Comma Letter Comma
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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