User:Eliora/Intentionally idiosyncratic concepts

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.