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. | 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 == | |||
== | <div class="mw-collapsible mw-collapsed"> | ||
{|class="wikitable" | {|class="wikitable" | ||
|- | |- | ||
!Prime limit | !Prime limit | ||
!Letter | !Letter | ||
! | !Formal comma | ||
|- | |- | ||
|3 | |3 | ||
| Line 110: | Line 110: | ||
|[[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 |