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"
|+ Formal commas
! 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 43: Line 44:
| [[248/243]]
| [[248/243]]
| zuper-/zub-
| zuper-/zub-
|-
| 37
| [[37/36]]
| aper-/ab-
|-
| 41
| [[82/81]]
| buper-/bub-
|}
|}

Latest revision as of 23:29, 3 June 2025

RST notation is a notation for just intonation and regular temperaments that was devised by 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

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-