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The octave-reduced 13th harmonic, 13/8 (≈840.5276618¢), is closely approximated by 7 steps of 10ed2 (840¢).  
The octave-reduced 13th harmonic, 13/8 (≈840.5276618¢), is closely approximated by 7 steps of 10ed2 (840¢).  


13/8 (1.625) is also close to acoustic phi (≈1.618033989).  
13/8 (1.625) is also close to acoustic phi (≈1.618033989), because 8 and 13 are sequential [[wikipedia:Fibonacci_number|Fibonacci numbers]].  


So, if we divide acoustic phi into 7 steps, then 10 of those steps will bring us quite close to an octave.
So, if we divide acoustic phi into 7 steps, then 10 of those steps will bring us quite close to an octave.