441/440
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Ratio | 441/440 |
Monzo | [-3 2 -1 2 -1⟩ |
Size in cents | 3.93016 |
Name(s) | werckisma |
Color name | Luzozogu |
open this interval in xen-calc |
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, and between 80/63 ( = (10/9)(8/7)) and 14/11, as well as the amount by which a stack of two 21/16 septimal subfourths exceeds a single 55/32 supermajor sixth.
Temperaments
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. See Rank-4 temperament #Werckismic (441/440) for some technical data.
See also
- Werckismic chords
- Rank-4 temperament #Werckismic (441/440)
- Werckismic temperaments, a collection of rank-3 temperaments where it is tempered out
- Small comma
- List of superparticular intervals