27th-octave temperaments

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.

Fractional-octave temperaments

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← 26th-octave • 27th-octave • 28th-octave →

All temperaments on this page have a period that is 1/27th of an octave. However, the [-43 27⟩ comma is not tempered out. Thus the 3/2 is not that of 27edo. However, 27edo is has some close approximations including 20/19, 39/38, and 70/57.

Temperaments discussed elsewhere include trinealimmal.

Cobalt

See also: Starling temperaments § Cobalt

Subgroup: 2.3.5

Comma list: [20 27 -27⟩

Mapping: [⟨27 0 20], ⟨0 1 1]]

mapping generators: ~648/625 , ~3

Optimal tunings:

• CTE: ~648/625 = 44.444 ¢ (1\27), ~3/2 = 700.515 ¢
• CWE: ~648/625 = 44.444 ¢ (1\27), ~3/2 = 702.887 ¢

Optimal ET sequence: 27, 81, 108

Badness (Sintel): 98.529