441/440: Difference between revisions

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441/440, '''Werckmeister's undecimal septenarian schisma''', or the '''werckisma''' for short, is a [[small comma|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.
441/440, '''Werckmeister's undecimal septenarian schisma''', or, more simply, the '''werckisma''', is a [[small comma|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 ==
== See also ==

Revision as of 18:56, 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 height (log2 nd) 17.566
Weil height (log2 max(n, d)) 17.5693
Wilson height (sopfr(nd)) 42
Open this interval in xen-calc

441/440, 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 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