1789edo: Difference between revisions

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 ===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]].
 Since 1789edo contains the 2.5 subgroup, it can be used for the finite decimal temperament - that is, where all the interval targets in just intonation are expressed as terminating decimals. For example, [[5/4]], [[25/16]], [[128/125]], [[32/25]], 625/512, etc. This rings particularly true for the French attempts to decimalize a lot more things than we are used to today.