6561/6250: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = ripple, 5/12-meantone semitone
| Name = ripple comma, 5/12-meantone semitone
| Color name = g<sup>5</sup>2, Quingu comma, <br/> quingu second
| Color name = g<sup>5</sup>2, Quingu comma, <br/> quingu second
| Comma = yes
| Comma = yes
}}
}}
'''6561/6250''', the '''ripple comma''' or '''5/12-meantone semitone''', is a [[5-limit]] ratio of about 84.07{{cent}}.


6561/6250, the '''ripple''' or '''5/12-meantone semitone''', is a [[5-limit]] ratio of about 84.07{{cent}}.
== 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.


== Theory ==
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.
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.
 
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 ==
== See also ==