13/8: Difference between revisions
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'''13/8''' is the '''lesser tridecimal neutral sixth''' measuring about 840.5¢, falling between the categories of minor sixth and major sixth. In [[13-limit]] [[Just intonation]], 13/8, as an octave-reduced 13th harmonic, is treated as a basic component of harmony. In the harmonic series and in chords based on it, 13/8 sits between the more familiar consonances of [[3/2]] and [[7/4]], separated from each by the [[superparticular]] ratios [[13/12]] and [[14/13]], respectively. It differs from the [[11-limit]] neutral sixth [[18/11]] by [[144/143]], about 12.1¢. It is called the lesser tridecimal neutral sixth in order to differentiate it from [[64/39]], another tridecimal neutral sixth. | '''13/8''' is the '''lesser tridecimal neutral sixth''' measuring about 840.5¢, falling between the categories of minor sixth and major sixth. In [[13-limit]] [[Just intonation]], 13/8, as an octave-reduced 13th harmonic, is treated as a basic component of harmony. In the harmonic series and in chords based on it, 13/8 sits between the more familiar consonances of [[3/2]] and [[7/4]], separated from each by the [[superparticular]] ratios [[13/12]] and [[14/13]], respectively. It differs from the [[11-limit]] neutral sixth [[18/11]] by [[144/143]], about 12.1¢. It is called the "lesser tridecimal neutral sixth" in order to differentiate it from [[64/39]], another tridecimal neutral sixth. | ||
== See also == | == See also == | ||
Revision as of 15:49, 8 September 2020
| Interval information |
reduced harmonic
[sound info]
13/8 is the lesser tridecimal neutral sixth measuring about 840.5¢, falling between the categories of minor sixth and major sixth. In 13-limit Just intonation, 13/8, as an octave-reduced 13th harmonic, is treated as a basic component of harmony. In the harmonic series and in chords based on it, 13/8 sits between the more familiar consonances of 3/2 and 7/4, separated from each by the superparticular ratios 13/12 and 14/13, respectively. It differs from the 11-limit neutral sixth 18/11 by 144/143, about 12.1¢. It is called the "lesser tridecimal neutral sixth" in order to differentiate it from 64/39, another tridecimal neutral sixth.
See also
- Gallery of just intervals
- 16/13 its octave complement