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- 19:34, 27 October 2025 Contribution talk contribs created page 69ed7 (Created page with "69 equal divisions of the 7th harmonic (abbreviated 69ed7), is the tuning system that divides the 7th harmonic into 69 equal parts of about 48.82356 ¢ each. Each step represents a frequency ratio of <math>7^{\frac{1}{69}}</math>, or the 69th root of 7. == Theory == 69ed7 is a nice and strong 3.5.7.11.13 system. All ratios in the 3.5.7.11.13 subgroup and 21-integer-limit are approximated in 69ed7 with less than 7.7 ¢ error. 69ed7 is close to the different methods fo...") Tag: Visual edit: Switched