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]]. | '''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 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. "Cuper-"/"cub-" is modified to "chuper-"/"chub-" to avoid pronunciation conflicts with "kuper-"/"kub-". | ||
== Formal commas == | == Formal commas == | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
| Line 41: | Line 41: | ||
| [[32/31]] | | [[32/31]] | ||
| zuper-/zub- | | zuper-/zub- | ||
|- | |||
| 37 | |||
| [[37/36]] | |||
| aper-/ab- | |||
|- | |||
| 41 | |||
| [[82/81]] | |||
| buper-/bub- | |||
|- | |||
| 43 | |||
| [[129/128]] | |||
| chuper-/chub- | |||
|- | |||
| 47 | |||
| [[48/47]] | |||
| duper-/dub- | |||
|- | |||
| 53 | |||
| [[53/32]] | |||
| eper-/eb- | |||
|} | |} | ||
Revision as of 02:46, 9 October 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-". These are abbreviated 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. "Cuper-"/"cub-" is modified to "chuper-"/"chub-" to avoid pronunciation conflicts with "kuper-"/"kub-".
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 | 32/31 | zuper-/zub- |
| 37 | 37/36 | aper-/ab- |
| 41 | 82/81 | buper-/bub- |
| 43 | 129/128 | chuper-/chub- |
| 47 | 48/47 | duper-/dub- |
| 53 | 53/32 | eper-/eb- |