31/1: Difference between revisions

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{{Infobox Interval

| Name = 31st harmonic

| Color name = c<sup>4</sup>31o7, quadcothiwo 7th

}}

'''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 ~~however,~~ the basis of [[31-limit]] harmony, as many 31-limit intervals can be expressed as the difference between this and another harmonic.

'''31/1''', the '''31st harmonic''', is the [[harmonic]] past [[30/1]] and before [[32/1]]. It is about four [[2/1|octaves]] and eleven and a half [[semitone (interval size measure)|semitones]] in size. Used in harmony, it sounds particularly wide: if the base note is F1, the higher note will be about Et6 or Fd6. 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 ==

* [[31/16]] – its [[octave reduction|octave-reduced]] form

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 {{Infobox Interval
 | Name = 31st harmonic
+| Color name = c<sup>4</sup>31o7, quadcothiwo 7th
 }}
-'''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 however, the basis of [[31-limit]] harmony, as many 31-limit intervals can be expressed as the difference between this and another harmonic.
+'''31/1''', the '''31st harmonic''', is the [[harmonic]] past [[30/1]] and before [[32/1]]. It is about four [[2/1|octaves]] and eleven and a half [[semitone (interval size measure)|semitones]] in size. Used in harmony, it sounds particularly wide: if the base note is F1, the higher note will be about Et6 or Fd6. 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 ==
 * [[31/16]] – its [[octave reduction|octave-reduced]] form