8/7: Difference between revisions

| Sound = jid_8_7_pluck_adu_dr220.mp3

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In [[just intonation]], 8/7 is the '''supermajor second''' or '''septimal major second''' of approximately 231.2¢. Although it falls between the familiar major second and minor third of [[12edo]], it generally sounds more like a wide second than a narrow third. It can be found between the 7th and 8th overtones in the harmonic series and is thus a [[superparticular]] ratio. In [[7-limit]] JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh ([[7/4]]) and octave. It differs from the Pythagorean major second of [[9/8]] by [[64/63]], a microtone of about 27.3¢. It's close in size to one step of 5edo = 240¢.

* [[21/16]] – its [[fifth complement]]

* [[7/6]] – its [[fourth complement]]

[[Category:7-limit]]

[[Category:Second]]

[[Category:Whole tone]]

[[Category:Superparticular]]

[[Category:Subharmonic]]

[[Category:Over-7]]