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| Color name = c<sup>4</sup>31o7, quadcothiwo 7th | | Color name = c<sup>4</sup>31o7, quadcothiwo 7th | ||
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'''31/1''', the '''31st harmonic''', is the [[harmonic]] past [[30/1]] and before [[32/1]]. It is about four [[octave]]s and eleven [[semitone]]s in size. Used in harmony, it sounds particularly wide: if the base note is F1, the higher note will be about E6. That is for all practical purposes beyond the range of {{w|choral music}}. It is | '''31/1''', the '''31st harmonic''', is the [[harmonic]] past [[30/1]] and before [[32/1]]. It is about four [[octave]]s and eleven [[semitone]]s in size. Used in harmony, it sounds particularly wide: if the base note is F1, the higher note will be about E6. That is for all practical purposes beyond the range of {{w|choral music}}. However, it remains useful in some instrumental solos and ensembles. It is the basis of [[31-limit]] harmony, as many 31-limit intervals can be expressed as the difference between this and another harmonic. | ||
== See also == | == See also == | ||
* [[31/16]] – its [[octave reduction|octave-reduced]] form | * [[31/16]] – its [[octave reduction|octave-reduced]] form | ||