389edo

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389edo, divides the octave into parts of 3.0848c each.

Theory

Approximation of prime intervals in 389 EDO
Prime number 2 3 5 7 11 13 17 19 23 29 31 37 41
Error absolute (¢) +0.00 +1.39 -0.71 -0.19 +0.87 -1.45 -0.07 -1.37 +1.03 +0.76 -0.56 -1.47 -0.27
relative (%) +0 +45 -23 -6 +28 -47 -2 -44 +33 +25 -18 -48 -9
Steps (reduced) 389 (0) 617 (228) 903 (125) 1092 (314) 1346 (179) 1439 (272) 1590 (34) 1652 (96) 1760 (204) 1890 (334) 1927 (371) 2026 (81) 2084 (139)

The best subgroup for 389edo is 7.17.31.41.

Relation to a calendar reform

389edo represents the north solstice (summer in the northern hemisphere) leap year cycle 69/389 as devised by Sym454 inventor Irvin Bromberg.

The outcome scale uses 327\389, or 62\389 as its generator.

Scales

  • Solstice[69]
  • SolsticeDay[94]

Links

https://individual.utoronto.ca/kalendis/leap/index.htm#mod