User:CompactStar/JI notation: Difference between revisions

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 (This may be moved to mainspace when it is more fleshed out)
-The nautrals CDEFGAB corresponding to Pythagorean intervals
+The naturals CDEFGAB correspond to Pythagorean intervals. Sharp and flat accidentals raise/lower by 2187/2048, and half-sharp and half-flat accidentals raise/lower by 33/32. To represent non-2.3.11 subgroup intervals, a comma-seperated list of primes, each of which multiplies the basic note by a comma, is added (e.g. 5/4 = E[-5], 13/10 = Fd[+13, -5]).
+== Commas ==
+{|class="wikitable"
+|-
+!Prime
+!Comma
+!Notation of harmonic
+|-
+|5
+|81/80
+|5/4 = E[-5]
+|-
+|7
+|896/891
+|7/4 = At[+7]
+|-
+|13
+|144/143
+|13/8 = Ad[-13]
+|-
+|17
+|2187/2176
+|17/16 = C#[-17]
+|-
+|19
+|513/512
+|19/16 = Eb[+19]
+|-
+|23
+|736/729
+|23/16 = F#[+23]
+|-
+|29
+|261/256
+|29/16 = Bb[+29]
+|-
+|31
+|1024/1023
+|31/16 = Cd[-31]
+|-
+|37
+|297/296
+|37/32 = Dt[-37]
+|-
+|41
+|82/81
+|41/32 = E[+41]
+|-
+|43
+|129/128
+|43/32 = F[+43]
+|-
+|47
+|517/512
+|47/32 = Gd[+47]
+|-
+|53
+|583/576
+|53/32 = Ad[+53]
+|}
+== 15-odd-limit ==
+{|class="wikitable"
+|-
+!Interval
+!Notation
+|-
+|16/15
+|Db[+5]
+|-
+|15/14
+|Dd[-5, -7]
+|-
+|14/13
+|Ctt[+7, +13]
+|-
+|13/12
+|Dd[-13]
+|-
+|12/11
+|Dd
+|-
+|11/10
+|Dbt[+5]
+|-
+|10/9
+|D[-5]
+|-
+|9/8
+|D
+|-
+|8/7
+|Ebd[-7]
+|-
+|15/13
+|Dt[-5, +13]
+|-
+|7/6
+|Dt[+7]
+|-
+|13/11
+|Edd[-13]
+|-
+|6/5
+|Eb[+5]
+|}