Deneb: Difference between revisions

'''Deneb''' is a [[nonoctave]], [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma [[6655/6561]] in the 3.5.11 subgroup. It is generated by a neutral third that represents a flat [[11/9]], and three generators stacked represent [[9/5]] (and due to tritave-equivalence, -3 generators stacked represents [[5/3]]). It is one of the simplest temperaments in the 3.5.11 subgroup with decent accuracy. 9:11:15 could serve as the fundamental consonant chord for such a system analogous to 4:5:6 in octave-repeating music and 3:5:7 for BP.

Reasonable tunings of Deneb possess [[MOS scale]]s of the families {{mos scalesig|1L 4s<3/1>|link=1}}, {{mos scalesig|5L 1s<3/1>|link=1}}, {{mos scalesig|6L 5s<3/1>|link=1}}, and {{mos scalesig|11L 6s<3/1>|link=1}}. Interestingly, the {{mos scalesig|6L 5s<3/1>}} Deneb[11] scale is melodically very similar to the diatonic scale, probably at least in part because both Deneb[11] and the diatonic scale have 11 notes to the tritave.