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''' or '''5/12-meantone semitone''', is a [[5-limit]] ratio of about 84.07{{cent}}. | 6561/6250, the '''ripple comma''' 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/ | 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 [[5/3]]s ([[octave-reduced]]), or [[8/5]] and four [[10/9]]s. | 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 == | ||
Revision as of 12:10, 1 January 2025
| Interval information |
5/12-meantone semitone
quingu second
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.