2200/2187: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Godtone (talk | contribs)
m elaborate a little on the naming
Tristanbay (talk | contribs)
Corrected distance equalization thing
Tags: Mobile edit Mobile web edit
 
(One intermediate revision by one other user not shown)
Line 6: Line 6:
}}  
}}  
'''2200/2187''', the '''tetracot kleisma''', is a [[11-limit]] [[comma]] measuring about 10.3{{cent}}. It is tempered out in [[tetracot]] as the difference between [[100/99]] and [[243/242]], which when tempered out, define tetracot in the no-7's 11-limit, hence its naming.
'''2200/2187''', the '''tetracot kleisma''', is a [[11-limit]] [[comma]] measuring about 10.3{{cent}}. It is tempered out in [[tetracot]] as the difference between [[100/99]] and [[243/242]], which when tempered out, define tetracot in the no-7's 11-limit, hence its naming.
It can additionally be found as the amount that two [[81/80|syntonic commas]] fall short of [[33/32]], and can thus be thought of as the comma that equalizes the distance between [[16/11]], [[40/27]], and [[3/2]].


[[Category:Tetracot]]
[[Category:Tetracot]]
[[Category:Commas named after their interval size]]
[[Category:Commas named after their interval size]]

Latest revision as of 19:00, 9 July 2025

This page is a stub. You can help the Xenharmonic Wiki by expanding it.
Interval information
Ratio 2200/2187
Factorization 23 × 3-7 × 52 × 11
Monzo [3 -7 2 0 1
Size in cents 10.26036¢
Name tetracot kleisma
Color name saloyoyo unison, s1oyy1
FJS name [math]\displaystyle{ \text{P1}^{5,5,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 22.198
Weil norm (log2 max(n, d)) 22.2066
Wilson norm (sopfr(nd)) 48
Comma size small
Open this interval in xen-calc

2200/2187, the tetracot kleisma, is a 11-limit comma measuring about 10.3 ¢. It is tempered out in tetracot as the difference between 100/99 and 243/242, which when tempered out, define tetracot in the no-7's 11-limit, hence its naming.

It can additionally be found as the amount that two syntonic commas fall short of 33/32, and can thus be thought of as the comma that equalizes the distance between 16/11, 40/27, and 3/2.