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 | '''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" | ||
Revision as of 01:42, 21 April 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 |
|---|---|---|
| 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- |