441/440

Interval information

Ratio

441/440

Factorization

2^-3 × 3² × 5^-1 × 7² × 11^-1

Monzo

[-3 2 -1 2 -1⟩

Size in cents

3.930158¢

Name

werckisma

Color name

Luzozogu

FJS name

[math]\displaystyle{ \text{m2}^{7,7}_{5,11} }[/math]

Special properties

square superparticular,
reduced

Tenney height (log₂ nd)

17.566

Weil height (log₂ max(n, d))

17.5693

Wilson height (sopfr(nd))

42

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441/440, also known as Werckmeister's undecimal septenarian schisma, or more simply, the werckisma, is a small superparticular 11-limit comma with a size of roughly 3.93 cents. It is the difference between 21/20 and 22/21, as well as the amount by which a stack of two 21/16 septimal subfourths exceeds a single 55/32 supermajor sixth. Tempering it out splits 11/10 into two even halves, equates 21/16 with 55/42 to create some interesting-sounding triads, and, makes werckismic chords possible.

441/440

See also