31/1: Difference between revisions
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'''31/1''', the '''31st harmonic''', is the [[harmonic]] past [[30/1]] and before [[32/1]]. It is about four [[2/1|octaves]] and eleven [[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 | '''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 == | == See also == | ||
* [[31/16]] – its [[octave reduction|octave-reduced]] form | * [[31/16]] – its [[octave reduction|octave-reduced]] form | ||
Latest revision as of 11:08, 2 April 2025
| Interval information |
prime harmonic
31/1, the 31st harmonic, is the harmonic past 30/1 and before 32/1. It is about four octaves and eleven and a half 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 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-reduced form