User:Eliora/Intentionally idiosyncratic concepts: Difference between revisions
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== 229/216 == | == 229/216 == | ||
{{Infobox interval|229/216|debug=1|name=229-limit minor second, 229-limit semitone}} | <br> | ||
{{Infobox interval|229/216|debug=1|name=229-limit minor second, 229-limit semitone}}<br> | |||
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== Idiounpentennisma == | == Idiounpentennisma == | ||
Idiounpentennisma is a 229-limit comma which is the difference between a stack of 159 [[230/229]]s and the octave. 1/log2(230/229) = 159.077..., making this comma very close to 1 step of 159edo. Unfortunately, this comes with a tradeoff to the complexity of prime 229. | Idiounpentennisma is a 229-limit comma which is the difference between a stack of 159 [[230/229]]s and the octave. 1/log2(230/229) = 159.077..., making this comma very close to 1 step of 159edo. Unfortunately, this comes with a tradeoff to the complexity of prime 229. | ||
== Yarmanunpentennisma == | |||
Yarmanunpentennisma associates the yarmanisma, [[115/114]], exactly to 2\159. | |||
== Shepard == | |||
Shepard is an exotemperament which tempers out the octave, 2/1, and leaves all other harmonics as independent generators. | |||
It is named after the {{W|Shepard's tone}}. In this temperament, all intervals which are octave equivalences of each other are considered the same, much like in Shepard tone. | |||
Latest revision as of 19:16, 24 September 2026
A page for collecting temperaments, concepts, scales - that are deliberately idiosyncratic, high badness, or otherwise are of dubious usefulness to broader xenharmonic theory.
229/216
| Interval information |
Idiounpentennisma
Idiounpentennisma is a 229-limit comma which is the difference between a stack of 159 230/229s and the octave. 1/log2(230/229) = 159.077..., making this comma very close to 1 step of 159edo. Unfortunately, this comes with a tradeoff to the complexity of prime 229.
Yarmanunpentennisma
Yarmanunpentennisma associates the yarmanisma, 115/114, exactly to 2\159.
Shepard
Shepard is an exotemperament which tempers out the octave, 2/1, and leaves all other harmonics as independent generators.
It is named after the Shepard's tone. In this temperament, all intervals which are octave equivalences of each other are considered the same, much like in Shepard tone.