1789edo: Difference between revisions
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1789edo can be adapted for use with the 2.5.11.13.29.31 subgroup. | 1789edo can be adapted for use with the 2.5.11.13.29.31 subgroup. | ||
'''Table of selected intervals''' | |||
{| class="wikitable" | |||
|+ | |||
!Step | |||
!Name | |||
!JI Approximation or Monzo | |||
|- | |||
|0 | |||
|Unison | |||
|1/1 exact | |||
|- | |||
|25 | |||
|28-thirds comma | |||
|[65 -28] | |||
|- | |||
|61 | |||
|Lesser diesis | |||
|[[128/125]] | |||
|- | |||
|576 | |||
|Major third | |||
|[[5/4]] | |||
|- | |||
|677 | |||
|Jacobin naiadic | |||
|[[13/10]] | |||
|- | |||
|822 | |||
|Jacobin superfourth | |||
|[[11/8]] | |||
|- | |||
|1789 | |||
|Octave | |||
|2/1 exact | |||
|} | |||
===Temperaments=== | ===Temperaments=== | ||
The "proper" Jacobin temperament for 1789edo is a [[maximally even]] mode of 967 notes, originating from the 822\1789 [[11/8|11/8-superfourth]] as a generator. The mode is closely related to 20/37 maximally even mode of [[37edo]] which uses 17\37 superfourth as its generator, and 967/1789 can be represented as a stack of 46 20/37 patterns merged with one 47/87 cycle arising out of [[87edo]]. | The "proper" Jacobin temperament for 1789edo is a [[maximally even]] mode of 967 notes, originating from the 822\1789 [[11/8|11/8-superfourth]] as a generator. The mode is closely related to 20/37 maximally even mode of [[37edo]] which uses 17\37 superfourth as its generator, and 967/1789 can be represented as a stack of 46 20/37 patterns merged with one 47/87 cycle arising out of [[87edo]]. | ||