69th-octave temperaments: Difference between revisions

Latest revision as of 03:57, 14 February 2025

Fractional-octave temperaments

← 68th-octave • 69th-octave • 70th-octave →

A highly precise temperament derived from the proximity of 100/99 to the step of 1\69.

Subgroup: 2.3.5.7.11

Comma list: [137 -138 138 0 -69⟩

Mapping: [⟨69 0 0 0 137], ⟨0 1 0 0 -2], ⟨0 0 1 0 2], ⟨0 0 0 1 0]]

mapping generators: ~100/99 = 1\69, ~3, ~5, ~7

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	{{~~Fractional~~-octave ~~navigation~~\|69}}		{{Infobox fractional-octave\|69}}

	== Ptolemi-nicemic (rank-4) ==		== Ptolemi-nicemic (rank-4) ==