| 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.