User:CompactStar/RST notation: Difference between revisions

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-'''RST notation''' is a [[notation]] for [[just intonation]], primarily developed by [[User:CompactStar|CompactStar]]. It is based on the common practice of naming [[2.3.7 subgroup]] intervals as [[3-limit]] ones combined with the modifiers super-/sub- for [[64/63]] and 63/64–for example, [[9/7]] is a supermajor third, [[64/63]] above the Pythagorean major third [[81/64]]. RST notation generalizes super-/sub-
+'''RST notation''' is a [[notation]] for [[just intonation]] and [[regular temperaments]] that was devised by [[User:CompactStar|CompactStar]]. Iit is an extension of [[3-limit]] [[chain-of-fifths notation]] where prefixes are added to convey higher-limit commatic alterations. The prefixes for formal commas are based on the common "super-"/"sub-" for the 7-limit formal comma [[64/63]], but with the first letter mutated. They are obtained by going through a truncated version of the alphabet (RSTUVWXYZ) and appending -uper/-ub. Thus the formal comma for 5 has the prefix pair "ruper-"/"rub-", 7 has the prefix pair "super-"/"sub-", 11 has prefix pair "tuper-"/"tub-". These are abbreviated as R/r, S/s, T/t, etc. uuper-/uub- is modified to uper-/ub- for ease of pronunciation. The main advantage of this system is that it is easily typable and memorizable, although it is very arbitrary.
+== Formal commas ==
+{| class="wikitable center-all"
+! Prime limit
+! Formal comma
+! Prefix pair
+Abbreviation
+|-
+| 5
+| [[81/80]]
+| ruper-/rub-
+| R/r
+|-
+| 7
+| [[64/63]]
+| super-/sub-
+|-
+| 11
+| [[33/32]]
+| tuper-/tub-
+|-
+| 13
+| [[1053/1024]]
+| uper-/ub-
+|-
+| 17
+| [[4131/4096]]
+| vuper-/vub-
+|-
+| 19
+| [[513/512]]
+| wuper-/wub-
+|-
+| 23
+| [[736/729]]
+| xuper-/xub-
+|-
+| 29
+| [[261/256]]
+| yuper-/yub-
+|-
+| 31
+| [[248/243]]
+| zuper-/zub-
+|}