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 as R/r, S/s, T/t, 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-".
'''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 a generalization of the widespread usage of "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 shortened to uper-/ub- for ease of pronunciation.
== Formal commas ==
== Formal commas ==
{| class="wikitable center-all"
{| class="wikitable center-all"
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|-
|-
| 31
| 31
| [[32/31]]
| [[248/243]]
| 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
| [[54/53]]
| eper-/eb-
|}
|}