User:CompactStar/RST notation: Difference between revisions

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'''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-". These are abbreviated ~~using~~ as rp/rb, sp/sb, tp/tb, etc. ~~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~~ easily typable and ~~fairly easily~~ memorizable.

'''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"

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! Formal comma

! Prefix pair

1 Abbreviation

|-

| 5

| [[81/80]]

| ruper-/rub-

| R/r

|-

| 7

| [[64/63]]

| super-/sub-

|-

| 11

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-'''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-". These are abbreviated using as rp/rb, sp/sb, tp/tb, etc. 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 easily typable and fairly easily memorizable.
+'''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"
@@ Line 5: / Line 5: @@
 ! Formal comma
 ! Prefix pair
+Abbreviation
 |-
 | 5
 | [[81/80]]
 | ruper-/rub-
+| R/r
 |-
 | 7
 | [[64/63]]
 | super-/sub-
 |-
 | 11