16edo: Difference between revisions

BudjarnLambeth (talk | contribs)
Scales: stretch
BudjarnLambeth (talk | contribs)
 
Line 667: Line 667:


; [[57ed12]]
; [[57ed12]]
* Step size: 75.473{{c}}, octave size (57ed12): 1207.6{{c}}
* Step size: 75.473{{c}}, octave size: 1207.6{{c}}
Stretching the octave of 16edo by around 7.5{{c}} results in especially improved primes 3, 5 and 11, but far worse primes 2 and 7. This approximates all harmonics up to 16 within NNN{{c}}. The tunings 57ed12 and 55ed11 both do this, their octaves differ from one another by only 0.1{{c}}.
Stretching the octave of 16edo by around 7.5{{c}} results in especially improved primes 3, 5 and 11, but far worse primes 2 and 7. This approximates all harmonics up to 16 within 35.0{{c}}. The tunings 57ed12 and 55ed11 both do this, their octaves differ from one another by only 0.1{{c}}.
{{Harmonics in equal|57|12|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 57ed12}}
{{Harmonics in equal|57|12|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 57ed12}}
{{Harmonics in equal|57|12|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 57ed12 (continued)}}
{{Harmonics in equal|57|12|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 57ed12 (continued)}}