User:CompactStar/RST notation: Difference between revisions

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'''RST notation''' is a [[notation]] mainly for [[just intonation]] and is primarily developed by [[User:CompactStar|CompactStar]]. It is an extension of [[3-limit]] [[chain-of-fifths notation]] with inflections for higher primes as "ruper-"/rub-" for 5, "super-"/"sub-" for 7, "tuper-"/"tub-" for 11, going through the alphabet starting with R. This is based on the common usage of "super-"/"sub-" for inflection of Pythagorean intervals by [[64/63]] in the [[2.3.7 subgroup]]. After Z, it resets back to A, then B, etc. until Q which corresponds to the prime 107. "Cuper-"/"cub-" is modified to "chuper-"/"chub-" so it can be distinguished from K/S.
'''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-
|}

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-
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