28th-octave temperaments: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Rework
BudjarnLambeth (talk | contribs)
m navbox, todo
Line 1: Line 1:
{{Fractional-octave navigation|28}}
{{Fractional-octave navigation|28}}
{{todo|intro}}


== Oquatonic (5-limit) ==
== Oquatonic (5-limit) ==
Line 19: Line 20:


[[Badness]] (Smith): 0.790
[[Badness]] (Smith): 0.790
{{Navbox fractional-octave}}

Revision as of 07:25, 5 December 2024

Template:Fractional-octave navigation

Oquatonic (5-limit)

For higher-limits, see Horwell temperaments #Oquatonic and No-elevens subgroup temperaments #Oquatonic.

Subgroup: 2.3.5

Comma list: [-65 0 28

Mapping[28 0 65], 0 1 0]]

mapping generators: ~128/125, ~3

Optimal tunings:

  • CTE: ~128/125 = 42.857, ~3/2 = 701.955
  • CWE: ~128/125 = 42.857, ~3/2 = 701.819

Optimal ET sequence28, 56, 84, 140, 224, 2324cc, 2548cc, …, 3220bccc

Badness (Smith): 0.790

ViewTalkEditFractional-octave temperaments 
← 23rd • 24th • 25th • 26th • 27th • 28th-octave • 29th • 30th • 31st • 32nd • 33rd →