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 [[101-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. Letters are used as these accidentals–capital letters are ascending and lowercase letters are descending.  
 
== Full list of formal commas ==
== Commas ==
<div class="mw-collapsible mw-collapsed">
{|class="wikitable"
{|class="wikitable"
|-
|-
!Prime limit
!Prime limit
!Letter
!Letter
!Comma
!Formal comma
|-
|-
|3
|3
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|[[8192/8181]]
|[[8192/8181]]
|}
|}
</div>

Revision as of 02:39, 18 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 101-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. Letters are used as these accidentals–capital letters are ascending and lowercase letters are descending.

Full list of formal commas

Prime limit Letter Formal comma
3 b 531441/524288
5 c 81/80
7 d 64/63
11 e 33/32
13 f 1053/1024
17 g 2187/2176
19 h 513/512
23 i 736/729
29 j 261/256
31 k 248/243
37 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