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A neutral third is a musical interval wider than a minor third but narrower than a major third . Three distinct intervals may be termed neutral thirds: * The ''undecimal neutral third'' has a ratio of 11:9〔Andrew Horner, Lydia Ayres (2002). ''Cooking with Csound: Woodwind and Brass Recipes'', p.131. ISBN 0-89579-507-8. "Super-Major Second".〕 between the frequencies of the two tones, or about 347.41 cents . * A ''tridecimal neutral third'' has a ratio of 16:13 between the frequencies of the two tones, or about 359.47 cents.〔() Jan Haluska, ''The Mathematical Theory of Tone Systems'', CRC (2004).〕 This is the largest neutral third, and occurs infrequently in music, as little music utilizes the 13th harmonic. * An ''equal-tempered neutral third'' is characterized by a difference in 350 cents between the two tones, a hair wider than the 11:9 ratio, and exactly half of an equal-tempered perfect fifth. 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. 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. A triad formed by two neutral thirds is neither major nor minor, thus the neutral thirds triad is ambiguous. While it is not found in twelve tone equal temperament it is found in others such as the quarter tone scale and 31-tet . ==Occurrence in human music== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「neutral third」の詳細全文を読む スポンサード リンク
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