*** Welcome to piglix ***

Neutral third

Neutral third
Inverse neutral sixth
Name
Other names -
Abbreviation n3
Size
Semitones ~3½
Interval class ~3½
Just interval 11:9, 27:22, or 16:13
Cents
Equal temperament 350
24 equal temperament 350
Just intonation 347, 355, or 359

A neutral third is a musical interval wider than a minor third About this sound play  but narrower than a major third About this sound play , named by Jan Pieter Land in 1880; the name has been taken over by Alois Hába. Three distinct intervals may be termed neutral thirds:

These intervals are all within about 12 cents and are difficult for most people to distinguish by ear. Neutral thirds are roughly a quarter tone sharp from 12 equal temperament minor thirds and a quarter tone flat from 12-ET major thirds. 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 third can be formed by stacking a neutral second together with a whole tone. Zalzal's wosta, a neutral third of 354.55 cents, may be constructed through the addition of a whole tone and a three quarter tone: 9/8 X 12/11 = 27/22. Based on its positioning in the harmonic series, the undecimal neutral third implies a root one whole tone below the lower of the two notes.


...
Wikipedia

...