39edo: Difference between revisions
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" |
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== Octave stretch or compression == | == Octave stretch or compression == | ||
39edo is a [[zeta valley edo]] and is generally poor at approximating primes for its size. Its poor approximations of harmonics 3, 5, 7, and 13 can all be improved by slightly [[octave shrinking|compressing the octave]], to get a tuning like [[ed6|101ed6]] or [[zpi|172zpi]]. | 39edo is a [[zeta valley edo]] and is generally poor at approximating primes for its size. Its poor approximations of harmonics 3, 5, 7, and 13 can all be improved by slightly [[octave shrinking|compressing the octave]], to get a tuning like [[ed6|101ed6]] or [[zpi|172zpi]]. | ||
39edo can be usefully mapped onto val 39dfgijk. The Tenney Euclidean tuning of this regular temperament is 30.67475 cents per step, which is closely approximated by [[173zpi]]. | |||
== 39edo and world music == | == 39edo and world music == | ||