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 obtained by going through a shifted version of the alphabet (RSTUVWXYZABCDEFGHIJKLMNOPQ) and appending "uper"/"ub". if the letter is a vowel we discard the first "u". 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-". This system is a generalization of the widespread usage of the Latin prefixes super-/sub- for alteration of Pythagorean intervals by [[64/63]] which, although ad-hoc, has the advantage of being typable and fairly easily memorizable.
 
== Formal commas ==
== Formal commas ==
{| class="wikitable center-all"
{| class="wikitable center-all"
! Prime limit
! Prime limit
! Formal comma
! Formal comma
! Prefix set
! Prefix pair
|-
|-
| 5
| 5

Revision as of 09:02, 30 August 2024

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 obtained by going through a shifted version of the alphabet (RSTUVWXYZABCDEFGHIJKLMNOPQ) and appending "uper"/"ub". if the letter is a vowel we discard the first "u". 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-". This system is a generalization of the widespread usage of the Latin prefixes super-/sub- for alteration of Pythagorean intervals by 64/63 which, although ad-hoc, has the advantage of being typable and fairly easily memorizable.

Formal commas

Prime limit Formal comma Prefix pair
5 81/80 ruper-/rub-
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-
37 37/36 aper-/ab-
41 82/81 buper-/bub-
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