770edo: Difference between revisions

Rework on theory
m Adopt template: Factorization; misc. cleanup
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== Theory ==
== Theory ==
770edo is in[[consistent]] to the [[5-odd-limit]] and [[3/1|harmonic 3]] is about halfway between its steps. It has a reasonable approximation of the 2.9.5.7.11 [[subgroup]], where it notably tempers out [[9801/9800]].  
770edo is in[[consistent]] to the [[5-odd-limit]] and [[3/1|harmonic 3]] is about halfway between its steps. It has a reasonable approximation of the 2.9.5.7.11 [[subgroup]], where it notably [[tempering out|tempers out]] [[9801/9800]].  


=== Odd harmonics ===
=== Odd harmonics ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 770 factors into 2 × 5 × 7 × 11, 770edo has subset edos {{EDOs| 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, and 385}}. [[1540edo]], which doubles it, gives a good correction to the harmonic 3.
Since 770 factors into {{factorization|770}}, 770edo has subset edos {{EDOs| 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, and 385}}. [[1540edo]], which doubles it, gives a good correction to the harmonic 3.


== Regular temperament properties ==
== Regular temperament properties ==