2187/1250: Difference between revisions
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| Color name = g<sup>4</sup>7, quadgu 7th | | Color name = g<sup>4</sup>7, quadgu 7th | ||
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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 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== | ||
Revision as of 13:29, 15 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.