Editing Enharmonic equivalence (section)

==Enharmonic genus==
{{Main|Genus (music)#Enharmonic}}

In [[ancient Greek music]] the enharmonic was one of the three Greek [[genus (music)|genera]] in music in which the [[tetrachord]]s are divided (descending) as a [[major third|ditone]] plus two [[microtone]]s. The ditone can be anywhere from {{sfrac|16|13}} to {{sfrac|9|7}} (3.55 to 4.35 [[semitone]]s) and the microtones can be anything smaller than 1 semitone.<ref>{{cite journal|first=C. André|last=Barbera|title=Arithmetic and Geometric Divisions of the Tetrachord|journal=[[Journal of Music Theory]]|volume=21|issue=2|year=1977|pages=294–323|jstor=843492}}</ref> Some examples of enharmonic genera are
# {{sfrac|1|1}} {{sfrac|36|35}} {{sfrac|16|15}} {{sfrac|4|3}}
# {{sfrac|1|1}} {{sfrac|28|27}} {{sfrac|16|15}} {{sfrac|4|3}}
# {{sfrac|1|1}} {{sfrac|64|63}} {{sfrac|28|27}} {{sfrac|4|3}}
# {{sfrac|1|1}} {{sfrac|49|48}} {{sfrac|28|27}} {{sfrac|4|3}}
# {{sfrac|1|1}} {{sfrac|25|24}} {{sfrac|13|12}} {{sfrac|4|3}}