39edo: Difference between revisions
Undo revision 227194 by Lucius Chiaraviglio (talk) Doesn't seem too useful; EDOs this size are too inaccurate in prime limits as high as 31, since the smallest with 31-odd-limit monotone is 99edo with the 99efk val Tag: Undo |
→Octave stretch or compression: also close to 62edt |
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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 can be usefully mapped onto the val 39dfgijk. The [[Tenney-Euclidean]] tuning of this regular temperament is 30.67475 cents per step, which is closely approximated by [[62edt]] and [[173zpi]]. | ||
== 39edo and world music == | == 39edo and world music == | ||