28th-octave temperaments: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
ArrowHead294 (talk | contribs)
mNo edit summary
Xenllium (talk | contribs)
No edit summary
Tags: Mobile edit Mobile web edit
 
Line 1: Line 1:
{{Technical data page}}
{{Infobox fractional-octave|28}}
{{Infobox fractional-octave|28}}
{{todo|intro}}
[[28edo]] is an interesting system when it comes to fractional-octave temperaments. It has some close approximations including [[5/4]] and [[14/13]].


== Oquatonic (5-limit) ==
== Oquatonic (5-limit) ==
Line 19: Line 20:
{{Optimal ET sequence|legend=1| 28, 56, 84, 140, 224, 2324cc, 2548cc, …, 3220bccc }}
{{Optimal ET sequence|legend=1| 28, 56, 84, 140, 224, 2324cc, 2548cc, …, 3220bccc }}


[[Badness]] (Smith): 0.790
[[Badness]] (Sintel): 18.5


{{Navbox fractional-octave}}
{{Navbox fractional-octave}}

Latest revision as of 05:30, 23 February 2026

This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.

28edo is an interesting system when it comes to fractional-octave temperaments. It has some close approximations including 5/4 and 14/13.

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 (Sintel): 18.5

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