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-" | '''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]]. | ||
== Formal commas == | |||
{| class="wikitable center-all" | |||
|+ Formal commas | |||
! Prime limit | |||
! Formal comma | |||
! Prefix set | |||
|- | |||
| 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]] | |||
| xuper-/xub- | |||
|- | |||
| 23 | |||
| [[736/729]] | |||
| yuper-/yub- | |||
|- | |||
| 29 | |||
| [[261/256]] | |||
| zuper-/zub- | |||
|- | |||
| 31 | |||
| [[248/243]] | |||
| aper-/ab- | |||
|- | |||
| 37 | |||
| [[37/36]] | |||
| buper-/bub- | |||
|} | |||
Revision as of 04:56, 25 August 2024
RST notation is a notation mainly for just intonation (although it also can work in JI-based regular temperaments) that was devised by 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.
Formal commas
| Prime limit | Formal comma | Prefix set |
|---|---|---|
| 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 | xuper-/xub- |
| 23 | 736/729 | yuper-/yub- |
| 29 | 261/256 | zuper-/zub- |
| 31 | 248/243 | aper-/ab- |
| 37 | 37/36 | buper-/bub- |