Fractional sharp notation: Difference between revisions

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m CompactStar moved page User:CompactStar/Letter notation to User:CompactStar/Fractional sharp notation: Hopefully, this is the final time I move this page ultimately descending from "Lefts and rights notation" from July
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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 '''greek letter notation''' is a notation scheme developed by [[User:CompactStar|CompactStar]] for [[just intonation]] up to the
This notation is mainly intended for equal temperaments
 
== Accidentals ==
== Accidentals ==
{|class="wikitable"
{|class="wikitable"
|-
|-
!Prime limit
!Prime limit
!Letter
!Comma
!Ratio
!Sharps
!Letter
!Ratio
|-
|-
|5
|5
|[[81/80]]
|[[81/80]]
|β
|1/5
|80/81
|-
|-
|7
|7
|[[64/63]]
|[[64/63]]
|δ
|1/4
|63/64
|-
|-
|11
|11
|[[33/32]]
|[[33/32]]
|ζ
|1/2
|32/33
|-
|-
|13
|13
|[[1053/1024]]
|[[1053/1024]]
|θ
|1/2
|1024/1053
|-
|-
|17
|17
|[[4131/4096]]
|[[4131/4096]]
|κ
|1/8
|4096/4131
|-
|-
|19
|19
|S
|[[513/512]]
|[[513/512]]
|T
|1/34
|512/513
|-
|-
|23
|23
|U
|[[736/729]]
|[[736/729]]
|V
 
|729/736
|-
|29
|W
|[[261/256]]
|X
|256/261
|-
|31
|Y
|[[32/31]]
|Z
|31/32
|}
|}
For example, [[5/4]] is IM3 (I-major third), [[7/4]] is Km7 (K-minor seventh) and [[11/8]] is LP4 (L-perfect fourth). Above C, these would be written IE, KBb and LF respectively.
== For temperaments ==
Letter notation can be adapted to regular temperaments simply by using the notation of the just intervals being tempered.