Editing Octatonic scale (section)

===Subsets===

Among the collection's remarkable features is that it is the only collection that can be disassembled into four transpositionally related pitch pairs in six different ways, each of which features a different interval class.{{sfn|Cohn|1991|loc=271}} For example:
*semitone: (C, C{{Music|#}}), (D{{Music|#}}, E) (F{{Music|#}}, G), (A, B{{Music|b}})
*whole step: (C{{Music|#}}, D{{Music|#}}), (E, F{{Music|#}}), (G, A), (B{{Music|b}}, C)
*minor third: (C, E{{Music|b}}), (F{{Music|#}}, A), (C{{Music|#}}, E), (G, B{{Music|b}})
*major third: (C, E), (F{{Music|#}}, B{{Music|b}}), (E{{Music|b}}, G), (A, C{{Music|#}})
*perfect fourth: (C{{Music|#}}, F{{Music|#}}), (B{{Music|b}}, E{{Music|b}}), (G, C), (E, A)
*tritone: (C, F{{Music|#}}), (E{{Music|b}}, A), (C{{Music|#}}, G), (E, B{{Music|b}})

Another remarkable feature of the diminished scale is that it contains the first four notes of four different [[minor scale]]s separated by minor thirds. For example: C, D, E{{music|b}}, F and (enharmonically) F{{music|#}}, G{{music|#}}, A, B. Also E{{music|b}}, F, G{{music|b}}, A{{music|b}}, and A, B, C, D.

The scale "allows familiar harmonic and linear configurations such as triads and [[mode (music)|modal]] [[tetrachord]]s to be juxtaposed unusually but within a rational framework" though the relation of the [[diatonic scale]] to the melodic and harmonic surface is thus generally oblique.{{sfn|Pople|1991|loc=2}}