129ed12: Difference between revisions
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== Theory == | == Theory == | ||
129ed12 is very nearly identical to [[36edo]] (sixth-tone tuning), but with the 12th harmonic rather than the [[2/1|octave]] being just. This stretches the octave by about 0.546{{c}}. The local [[The Riemann zeta function and tuning #Optimal octave stretch|zeta peak]] around 36 is located at 35.982388, which has a step size of 33.3496{{c}} and has octaves stretched by 0.587{{c}} | 129ed12 is very nearly identical to [[36edo]] (sixth-tone tuning), but with the 12th harmonic rather than the [[2/1|octave]] being just. This stretches the octave by about 0.546{{c}}. The local [[The Riemann zeta function and tuning #Optimal octave stretch|zeta peak]] around 36 is located at 35.982388, which has a step size of 33.3496{{c}} and has octaves stretched by 0.587{{c}}; 129ed12's octave is extremely close to optimal, being only 0.0418{{c}} ({{sfrac|1|23}} of a cent) off from the zeta peak. | ||
=== Harmonics === | === Harmonics === | ||