389edo: Difference between revisions

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389edo has two mappings for 3, which makes it a [[dual-fifth system]]. The best approach to this tuning is through a 2.5.7.11.17 subgroup.
389edo has two mappings for 3, which makes it a [[dual-fifth system]]. The best approach to this tuning is through a 2.5.7.11.17 subgroup.
=== Relation to a calendar reform ===
=== 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.
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. The solstice leap day scale with 94 notes uses 269\389 as a generator. Since this is a maximum evenness scale, temperament can be generated by simply merging the numerator and the denominator.


The outcome scale uses 327\389, or 62\389 as its generator.  
==== Solstice Leap Day (94 & 295) ====
295 seems to precede 389.


The solstice leap day scale with 94 notes uses 269\389 as a generator.
Subgroup: 2.5.7.11.17
 
POTE generator: 370.1796c
 
Comma list: 250000/248897, 2100875/2097152, 4096000/4092529


== Regular temperament properties ==
== Regular temperament properties ==