Chalmersia

Interval information

Ratio

123201/123200

Factorization

2^-6 × 3⁶ × 5^-2 × 7^-1 × 11^-1 × 13²

Monzo

[-6 6 -2 -1 -1 2⟩

Size in cents

0.01405217¢

Names

chalmersia,
chalmersma,
chalmersima,
chalmerisma,
chalmersisma

Color name

Lathotholurugugu comma

FJS name

[math]\displaystyle{ \text{d1}^{13,13}_{5,5,7,11} }[/math]

Special properties

square superparticular,
reduced

Tenney height (log₂ nd)

33.8213

Weil height (log₂ max(n, d))

33.8213

Wilson height (sopfr(nd))

84

Open this interval in xen-calc

The chalmersia is an unnoticeable 13-limit comma with a ratio of 123201/123200 and a value of approximately 0.014 cents. It is the smallest 13-limit superparticular comma. Tempering it out equates 351/350 and 352/351, thus splitting 176/175 into two, and equates 385/351 and 351/320, thus splitting 77/64 into two – these are features highly characteristic of chalmers temperaments. In addition, it equates a stack consisting of a 729/512 tritone plus a 169/128 grave fourth with a stack consisting of a 25/16 augmented fifth plus a 77/64 minor third.

Although "chalmersia" is the name that is primarily used for this article as it is the name for this comma on the Huygens-Fokker Foundation's interval list, there are other similar names that this comma sometimes goes by, including chalmersma, chalmersima, chalmerisma and chalmersisma. Regardless of the exact name used for this comma, it seems that the temperament itself was named in honor of John H. Chalmers, and that all the various names for this comma are thus etymologically derived from the temperament name.

Chalmersia

See also