Fractional sharp notation: Difference between revisions

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The '''letter notation''' is a notation scheme developed by [[User:CompactStar|CompactStar]] for [[just intonation]] up to the [[31-limit]] and some [[regular temperaments]]. It is [[Pythagorean tuning|Pythagorean]] notation with the letters H-Y used as accidentals for higher prime limits (starting from H to avoid conflict with note names). These are fairly easy to memorize as they go in alphabetical order as the [[prime limit]] increases.
VERY WIP


The '''letter notation''' is a notation scheme developed by [[User:CompactStar|CompactStar]] for [[just intonation]] up to the [[31-limit]] and some [[equal temperament|equal]] and [[rank|multirank]] [[temperament]]s. It is [[Pythagorean tuning|Pythagorean]] notation with the letters H-Z used as accidentals for higher prime limits (starting from H to avoid confusion with note names, and skipping M to avoid confusion with major).
== Accidentals ==
== Accidentals ==
{|class="wikitable"
{|class="wikitable"
|-
|-
!Prime limit
![[Prime limit]]
!Letter
!Letter
!Ratio
!Ratio
Line 10: Line 11:
!Ratio
!Ratio
|-
|-
|5
|3
|H
|a
|[[81/80]]
|[[81/80]]
|I
|b
|80/81
|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 (spoken names, if mechanical-sounding, can also be made out of these like "I-major third").
For example, [[5/4]] is IM3 (I-major third) and [[7/4]] is Km7 (K-minor seventh).
 
This system can also be used to notate [[regular temperament]]s (including both equal temperaments and rank-2 or higher). For example, [[24edo]] could be notated by using [[12edo]] notation together with L/M to denote the tempered [[33/32]] quartertone of 50 cents:
{|class="wikitable"
|-
!Notation
!

Revision as of 07:01, 5 February 2024

VERY WIP

The letter notation is a notation scheme developed by CompactStar for just intonation up to the 31-limit and some equal and multirank temperaments. It is Pythagorean notation with the letters H-Z used as accidentals for higher prime limits (starting from H to avoid confusion with note names, and skipping M to avoid confusion with major).

Accidentals

Prime limit Letter Ratio Letter Ratio
3 a 81/80 b 80/81

For example, 5/4 is IM3 (I-major third) and 7/4 is Km7 (K-minor seventh).

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