User:CompactStar/RST notation: Difference between revisions

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'''RST notation''' is a [[notation]] mainly for [[just intonation]] (although it also can work in JI-based [[regular temperaments]]) 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 rotated version of the alphabet (RSTUVWXYZABCDEFGHIJKLMNOPQ). These may be abbreviated as R/r, S/s, T/t, etc. This is a generalization of the usage of super-/sub- for [[64/63]] which has existing precedent like in "subminor 7th" for [[7/4]]. Diphthongs have the second vowel removed for ease of pronunciation (for example "iuper-"/"iub-" becomes "iper-"/"ib-") and "cuper-"/"cub-" is modified to "chuper-"/"chub-" to reduce ambiguity with K and S. This system reaches up to the [[107-limit]] with the final prefix pair of "quper-"/"qub-" modifying by [[108/107]].  
'''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 ==
== Formal commas ==
{| class="wikitable center-all"
{| class="wikitable center-all"
! Prime limit
! Prime limit
! Formal comma
! Formal comma
! Prefix set
! Prefix pair
1 Abbreviation
|-
|-
| 5
| 5
| [[81/80]]
| [[81/80]]
| ruper-/rub-
| ruper-/rub-
| R/r
|-
|-
| 7
| 7
| [[64/63]]
| [[64/63]]
| super-/sub-
| super-/sub-
|-
|-
| 11
| 11
Line 42: Line 44:
| [[248/243]]
| [[248/243]]
| zuper-/zub-
| zuper-/zub-
|-
| 37
| [[37/36]]
| aper-/ab-
|-
| 41
| [[82/81]]
| buper-/bub-
|}
|}