2197/2187: Difference between revisions
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The '''threedie''', '''2197/2187''', is a 3.13 analog of the 2.5 [[128/125|diesis]]. Analogously to tempering the diesis, which divides the octave into three sharp 5/4s, tempering the threedie divides the [[tritave]] into three slightly flat 13/9s, since (13/9)<sup>3</sup>/3 = 2197/2187. [[596edo]] provides the optimal patent val for the corresponding rank-5 temperament. | The '''threedie''', '''2197/2187''', is a 3.13 analog of the 2.5 [[128/125|diesis]]. Analogously to tempering the diesis, which divides the octave into three sharp 5/4s, tempering the threedie divides the [[tritave]] into three slightly flat 13/9s, since (13/9)<sup>3</sup>/3 = 2197/2187. [[596edo]] provides the optimal patent val for the corresponding rank-5 temperament. | ||
[[Category:13-limit]] | |||
[[Category:Interval ratio]] | |||
[[Category:Small comma]] | |||
Revision as of 05:49, 10 March 2021
| Interval information |
The threedie, 2197/2187, is a 3.13 analog of the 2.5 diesis. Analogously to tempering the diesis, which divides the octave into three sharp 5/4s, tempering the threedie divides the tritave into three slightly flat 13/9s, since (13/9)3/3 = 2197/2187. 596edo provides the optimal patent val for the corresponding rank-5 temperament.