441/440: Difference between revisions

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[[Category:Small comma]]
[[Category:Small comma]]
[[Category:Superparticular]]
[[Category:Superparticular]]
[[Category:Werkismic]]
[[Category:Werckismic]]

Revision as of 07:18, 24 December 2020

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 norm (log2 nd) 17.566
Weil norm (log2 max(n, d)) 17.5693
Wilson norm (sopfr(nd)) 42
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. Tempering it out equates them, splitting 11/10 into two, and makes werckismic chords possible.

See also