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>
<br>
== 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
Ratio 229/216
Subgroup monzo 2.3.229 [-3 -3 1⟩
Size in cents 101.1795 ¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{m2}^{229} }[/math]
Special properties reduced
Tenney norm (log2 nd) 15.5941
Weil norm (log2 max(n, d)) 15.6784
Wilson norm (sopfr(nd)) 244

Audio demonstration

Open this interval in xen-calc



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.