Alchemisma

Interval information
Factorization	2-82 × 3-1 × 536
Monzo	[-82 -1 36⟩
Size in cents	5.338698 ¢
Name	alchemisma
Color name	quinla-quadtritriyo negative 10th, L5y36-10
FJS name	[math]\displaystyle{ \text{20d}{-10}^{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	167.174
Weil norm (log2 max(n, d))	167.179
Wilson norm (sopfr(nd))	347
	Open this interval in xen-calc

The alchemisma is a small 5-limit comma measuring about 5+1⁄3 cents. It is the amount by which 36 5/4s exceeds a single 3/2, octave-reduced. Tempering it out leads to the alchemy temperament, which has its ~3/2 at 36 generators of ~5/4. This temperament extends naturally to the 2.3.5.11 subgroup, with ~11/8 found at -11 generators.