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Neutral sixth

Neutral Sixth
Inverse neutral third
Name
Other names -
Abbreviation n6
Size
Semitones ~8½
Interval class ~3½
Just interval 18:11 or 13:8
Cents
Equal temperament 800 or 900
24 equal temperament 850
Just intonation 853 or 841

A neutral sixth is a musical interval wider than a minor sixth About this sound play  but narrower than a major sixth About this sound play . Three distinct intervals may be termed neutral sixths:

These intervals are all within about 12 cents of each other and are difficult for most people to distinguish. Neutral sixths are roughly a quarter tone sharp from 12 equal temperament minor sixths and a quarter tone flat from 12-ET major sixths. In just intonation, as well as in tunings such as 31-ET, 41-ET, or 72-ET, which more closely approximate just intonation, the intervals are closer together.

A neutral sixth can be formed by subtracting a neutral second from a minor seventh. Based on its positioning in the harmonic series, the undecimal neutral sixth implies a root one minor seventh above the higher of the two notes.


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Wikipedia

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