User:CompactStar/RST notation: Difference between revisions

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'''RST notation''' is a [[notation]] mainly for [[just intonation]] that was devised by [[User:CompactStar|CompactStar]]. It is an extension of [[3-limit]] [[chain-of-fifths notation]] where prefixes are added to convey higher-limit commatic alterations. The prefixes used are "ruper-"/"rub-" for the 5-limit formal comma [[81/80]], "super-"/"sub-" for the 7-limit formal comma [[64/63]],  "tuper-"/"tub-" for the 11-limit formal comma [[33/32]], etc., going through a shifted version of the alphabet (RSTUVWXYZABCDEFGHIJKLMNOPQ), which is a generalization of super-/sub- for [[64/63]].
'''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
1 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-
|}