Dual-fifth tuning: Difference between revisions
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A '''dual-fifth system''' is a(n octave-equivalent) tuning system with two sizes of fifths, '''major fifth''' and '''minor fifth''' instead of a single perfect fifth, and accordingly two sizes fourths, '''major fourth''' and '''minor fourth''' instead of a single perfect fourth. | A '''dual-fifth system''' is a(n octave-equivalent) tuning system with two sizes of fifths, '''major fifth''' and '''minor fifth''' instead of a single perfect fifth, and accordingly two sizes fourths, '''major fourth''' and '''minor fourth''' instead of a single perfect fourth. | ||
== Dual-fifth edos == | == Dual-fifth edos == | ||
[[18edo]] is usually considered the quintessential dual-fifth edo by people who work in dual-fifth systems (which are admittedly few), which has a 733.3¢ sharp fifth 31. | [[18edo]] is usually considered the quintessential dual-fifth edo by people who work in dual-fifth systems (which are admittedly few), which has a 733.3¢ sharp fifth 31.4¢ sharp from pure [[3/2]], and a 666.7¢ flat fifth almost equally off as the sharp one, 35.3¢ flat. | ||
Some other edos which have been treated as dual-fifth are: | |||
* [[13edo]] (major fifth +36.5¢ from just, minor fifth -55.8¢ from just) | |||
* [[23edo]] (major fifth +28.5¢ from just, minor fifth -23.7¢ from just) | |||
* [[25edo]] (major fifth +18.0¢ from just, minor fifth -30.0¢ from just) | |||
== Dual-fifth temperaments == | == Dual-fifth temperaments == | ||