38edo: Difference between revisions
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; [[zpi|166zpi]] | ; [[zpi|166zpi]] | ||
* Step size: 31.671{{c}}, octave size: 1203.48{{c}} | * Step size: 31.671{{c}}, octave size: 1203.48{{c}} | ||
Stretching the octave of 38edo by around 3.5{{c}} results in improved primes 3, 5, 11, 13, 17 and 19, but worse primes 2 and 7. This approximates all harmonics up to 16 within 14.0{{c}}. The tuning 166zpi does this. | Stretching the octave of 38edo by around 3.5{{c}} results in improved primes 3, 5, 11, 13, 17 and 19, but worse primes 2 and 7. This approximates all harmonics up to 16 within 14.0{{c}}. This results in the same [[mapping]] as [[wart|38df]], which is the mapping used by most of 38edo's lowest-[[badness]] temperaments. The tuning 166zpi does this. | ||
{{Harmonics in cet|31.671|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 166zpi}} | {{Harmonics in cet|31.671|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 166zpi}} | ||
{{Harmonics in cet|31.671|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 166zpi (continued)}} | {{Harmonics in cet|31.671|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 166zpi (continued)}} | ||