6561/6250: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Eliora (talk | contribs)
Created page with "6561/6250, the '''ripple''' or '''5/12-meantone semitone''', is a 5-limit ratio of about 84.07 cents. == Theory == The interval can be treated equally either as a comma, whic..."
 
m Style
 
(3 intermediate revisions by 3 users not shown)
Line 1: Line 1:
6561/6250, the '''ripple''' or '''5/12-meantone semitone''', is a 5-limit ratio of about 84.07 cents.
{{Infobox Interval
| Name = ripple comma, 5/12-meantone semitone
| Color name = g<sup>5</sup>2, Quingu comma, <br/> quingu second
| Comma = yes
}}
'''6561/6250''', the '''ripple comma''' or '''5/12-meantone semitone''', is a [[5-limit]] ratio of about 84.07{{cent}}.


== Theory ==
== Temperaments ==
The interval can be treated equally either as a comma, which results in the [[Ripple family]], or as a melodic interval in its own right, where it is exactly replicated in 5/12-comma meantone. The 5/12CM-meantone is represented well in [[400edo]], where 6561/6250 is approximated by 28 steps and the generator fifth by 231 steps.
The interval can be treated equally either as a comma, which results in the [[ripple family]], or as a melodic interval in its own right, where it is exactly replicated in 5/12-comma meantone. The 5/12-comma meantone is represented well in [[400edo]], where 6561/6250 is approximated by 28 steps and the generator fifth by 231 steps.


As a comma, it represents the difference between [[27/16]] and 5 [[5/3]]<nowiki/>s, or 4 [[10/9]]<nowiki/>s and one [[8/5]].
As a comma, it represents the difference between [[27/16]] and five [[5/3]]s ([[octave-reduced]]), or [[8/5]] and four [[10/9]]'s.
 
== See also ==
* [[Medium commas]]
 
[[Category:Commas with unknown etymology]]

Latest revision as of 12:10, 1 January 2025

Interval information
Ratio 6561/6250
Factorization 2-1 × 38 × 5-5
Monzo [-1 8 -5
Size in cents 84.07144¢
Names ripple comma,
5/12-meantone semitone
Color name g52, Quingu comma,
quingu second
FJS name [math]\displaystyle{ \text{d2}_{5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 25.2893
Weil norm (log2 max(n, d)) 25.3594
Wilson norm (sopfr(nd)) 51
Comma size medium
Open this interval in xen-calc

6561/6250, the ripple comma or 5/12-meantone semitone, is a 5-limit ratio of about 84.07 ¢.

Temperaments

The interval can be treated equally either as a comma, which results in the ripple family, or as a melodic interval in its own right, where it is exactly replicated in 5/12-comma meantone. The 5/12-comma meantone is represented well in 400edo, where 6561/6250 is approximated by 28 steps and the generator fifth by 231 steps.

As a comma, it represents the difference between 27/16 and five 5/3s (octave-reduced), or 8/5 and four 10/9's.

See also