2187/1250: Difference between revisions
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'''2187/1250''', the '''tetraptolemaic diminished seventh''' or '''ragismic 5-limit harmonic seventh''', is a [[5-limit]] interval very closely approximating [[7/4]]. It can be created by stacking two [[27/25]] and [[3/2]]. It is a [[4375/4374|ragisma]] below 7/4, a [[15625/15552|kleisma]] below the marvel 5-limit harmonic seventh [[225/128]], and [[250/243]] below [[9/5]]. In the [[ragismic]] temperament, it is equated with 7/4. | '''2187/1250''', the '''tetraptolemaic diminished seventh''' or '''ragismic 5-limit harmonic seventh''', is a [[5-limit]] interval very closely approximating [[7/4]]. It can be created by stacking two [[27/25]] and [[3/2]]. It is a [[4375/4374|ragisma]] below 7/4, a [[15625/15552|kleisma]] below the marvel 5-limit harmonic seventh [[225/128]], and [[250/243]] below [[9/5]]. In the [[ragismic]] temperament, it is equated with 7/4. | ||
==Approximation== | == Approximation == | ||
[[57edo]] contains a very accurate approximation of 2187/1250 at its 46th step (46\57), which is only 0.009{{cent}} flat of 2187/1250. | [[57edo]] contains a very accurate approximation of 2187/1250 at its 46th step (46\57), which is only 0.009{{cent}} flat of 2187/1250. | ||
==See also== | == Temperaments == | ||
2187/1250 is the eigenmonzo of [[4/9-comma meantone]], and further equating it to [[7/4]] gives a tuning of [[flattone]] | |||
== See also == | |||
* [[2500/2187]] — its [[octave complement]] | * [[2500/2187]] — its [[octave complement]] | ||
[[Category:Ragismic]] | [[Category:Ragismic]] | ||