208edo: Difference between revisions

Review
Review +1; note its relation to 104edo
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== Theory ==
== Theory ==
208et [[tempering out|tempers out]] [[15625/15552]], the kleisma, and is the [[optimal patent val]] for the kleismic temperament [[metakleismic]], and 7-, 11- and 13-limit rank-3 [[tolerant]] temperament. It is also the optimal patent val for the rank-4 [[11-limit]] temperament tempering out [[896/891]], the [[pentacircle]] temperament. Other commas it tempers out include [[2200/2187]] in the 11-limit and [[325/324]], [[352/351]], [[364/363]] and [[625/624]] in the 13-limit.
208edo is closely related to [[104edo]], but the mappings for [[harmonic]] [[5/1|5]] differ. As an equal temperament, it [[tempering out|tempers out]] [[15625/15552]], the kleisma, and is the [[optimal patent val]] for the kleismic temperament [[metakleismic]], and 7-, 11- and 13-limit rank-3 [[tolerant]] temperament. It is also the optimal patent val for the rank-4 [[11-limit]] temperament tempering out [[896/891]], the [[pentacircle]] temperament. Other commas it tempers out include [[2200/2187]] in the 11-limit and [[325/324]], [[352/351]], [[364/363]] and [[625/624]] in the 13-limit.


=== Odd harmonics ===
=== Odd harmonics ===
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| 55\208<br>(3\208)
| 55\208<br>(3\208)
| 317.31<br>(17.31)
| 317.31<br>(17.31)
| 6/5<br>(81/80)
| 6/5<br>(126/125)
| [[Quadritikleismic]] (7-limit)
| [[Quadritikleismic]] (7-limit)
|}
|}