13/8: Difference between revisions
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{{Infobox Interval | |||
|-3 0 0 0 0 1 | | JI glyph = | ||
| Ratio = 13/8 | |||
840.52766 | | Monzo = -3 0 0 0 0 1 | ||
| Cents = 840.52766 | |||
| Name = tridecimal neutral sixth | |||
| Sound = jid_13_8_pluck_adu_dr220.mp3 | |||
| Color name = 3o6, tho 6th | |||
}} | |||
13/8 is a neutral sixth measuring about 840.5¢, falling between the categories of minor sixth and major sixth. In [[13-limit|13-limit]] [[Just_intonation|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|3/2]] and [[7/4|7/4]], separated from each by the [[superparticular|superparticular]] ratios [[13/12|13/12]] and [[14/13|14/13]], respectively. It differs from the [[11-limit|11-limit]] neutral sixth [[18/11|18/11]] by [[144/143|144/143]], about 12.1¢. | 13/8 is a neutral sixth measuring about 840.5¢, falling between the categories of minor sixth and major sixth. In [[13-limit|13-limit]] [[Just_intonation|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|3/2]] and [[7/4|7/4]], separated from each by the [[superparticular|superparticular]] ratios [[13/12|13/12]] and [[14/13|14/13]], respectively. It differs from the [[11-limit|11-limit]] neutral sixth [[18/11|18/11]] by [[144/143|144/143]], about 12.1¢. | ||
Revision as of 04:31, 23 October 2018
| Interval information |
reduced harmonic
[sound info]
13/8 is a 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¢.