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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]] | ||
Revision as of 01:18, 18 January 2026
| Interval information |
ragismic 5-limit harmonic seventh
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 ragisma below 7/4, a 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
57edo contains a very accurate approximation of 2187/1250 at its 46th step (46\57), which is only 0.009 ¢ flat of 2187/1250.
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