441/440: Difference between revisions

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Created page with "{{Infobox Interval | Icon = | Ratio = 441/440 | Monzo = -3 2 -1 2 -1 | Cents = 3.93016 | Name = Werckmeister's undecimal septenarian schisma, <br> werckisma | Color name = Luz..."
 
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* [[Werckismic chords]]
* [[Werckismic chords]]
* [[Werckismic temperaments]]
* [[Werckismic temperaments]]
* [[Werckismic clan]]
* [[Small comma]]
* [[Small comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]

Revision as of 18:55, 23 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¢
Names Werckmeister's undecimal septenarian schisma,
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, Werckmeister's undecimal septenarian schisma, or the werckisma for short, is a small superparticular 11-limit comma with a size of roughly 3.93 cents. It forms the difference between a stack of two 21/16 septimal subfourths and a single 55/32 supermajor sixth, and, in addition to equating these two intervals, tempering out the werckisma also makes werckismic chords possible.

See also