5559811767271424/5559060566555523: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Squib (talk | contribs)
Created page with "{{Infobox Interval | Monzo = 19 -33 0 0 0 9 | Comma = yes }} '''5559811767271424/5559060566555523''' is an unnoticeable 2.3.13 subgroup comma of about 0.23{{c}}. Tempering it out divides the octave into three equal parts of 177147/140608, which itself is a stack of three 81/52's lowered by 3/1. Equivalently, 54/1 is divided into nine parts of 81/52. It also equates a stack of nine 16/13's with a stack of eleven 32/27's...."
 
Squib (talk | contribs)
mNo edit summary
 
Line 4: Line 4:
}}
}}


'''5559811767271424/5559060566555523''' is an [[unnoticeable comma|unnoticeable]] [[2.3.13 subgroup]] [[comma]] of about 0.23{{c}}. Tempering it out divides the octave into three equal parts of 177147/140608, which itself is a stack of three [[81/52]]'s lowered by [[3/1]]. Equivalently, [[54/1]] is divided into nine parts of 81/52. It also equates a stack of nine [[16/13]]'s with a stack of eleven [[32/27]]'s.
'''5559811767271424/5559060566555523''' is an [[unnoticeable comma|unnoticeable]] [[2.3.13 subgroup]] [[comma]] of about 0.23{{c}}. Tempering it out divides the octave into three equal parts of 177147/140608, which itself is a stack of three [[81/52]]'s lowered by [[3/1]]. It also divides [[27/26]] in two parts; nine of these reach [[32/27]] and eleven reach [[16/13]].


In terms of commas, it is the difference between:
In terms of commas, it is the difference between:
* the [[pythagorean comma]] and a stack of three [[threedie]]'s
* the [[pythagorean comma]] and a stack of three [[threedie]]'s
* [[816293376/815730721]] and the [[tridecapyth comma]]
* [[816293376/815730721]] and the [[tridecapyth comma]]

Latest revision as of 18:24, 6 March 2026

Interval information
Factorization 219 × 3-33 × 139
Monzo [19 -33 0 0 0 9
Size in cents 0.2339274¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{10d5}^{13,13,13,13,13,13,13,13,13} }[/math]
Special properties reduced
Tenney norm (log2 nd) 104.608
Weil norm (log2 max(n, d)) 104.608
Wilson norm (sopfr(nd)) 254
Comma size unnoticeable
Open this interval in xen-calc

5559811767271424/5559060566555523 is an unnoticeable 2.3.13 subgroup comma of about 0.23 ¢. Tempering it out divides the octave into three equal parts of 177147/140608, which itself is a stack of three 81/52's lowered by 3/1. It also divides 27/26 in two parts; nine of these reach 32/27 and eleven reach 16/13.

In terms of commas, it is the difference between: