8/5: Difference between revisions

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{| class="wikitable"
{{Infobox Interval
|-
| Icon = [[File:8_5_glyph.png|124px]] <small><br/>[[JI glyphs|JI glyph]]</small>
| | [[File:8_5_glyph.png|alt=8 5 glyph.png|114x123px|8 5 glyph.png]]
| Ratio = 8/5
|-
| Monzo = 3 0 -1
| | JI glyph of 8/5
| Cents = 813.68629
|}
| Name = minor sixth
| Sound = jid_8_5_pluck_adu_dr220.mp3
| Color name =
}}


'''8/5'''
In [[5-limit]] [[Just intonation|Just Intonation]], 8/5 is a minor sixth, measuring about 813.7¢. It is the 5th subharmonic, and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7¢) away from [[3/2]], and an [[81/80]] (about 21.5¢) away from the Pythagorean ([[3-limit]]) minor sixth of [[128/81]] (about 792.2¢).
|3 0 -1&gt;


813.68629 cents
See: [[Gallery of Just Intervals]]


[[File:jid_8_5_pluck_adu_dr220.mp3]] [[:File:jid_8_5_pluck_adu_dr220.mp3|sound sample]]
[[Category:5-limit]]
 
In [[5-limit|5-limit]] [[Just_intonation|Just Intonation]], 8/5 is a minor sixth, measuring about 813.7¢. It is the 5th subharmonic, and thus the inversion of [[5/4|5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15|16/15]] (about 111.7¢) away from [[3/2|3/2]], and an [[81/80|81/80]] (about 21.5¢) away from the Pythagorean ([[3-limit|3-limit]]) minor sixth of [[128/81|128/81]] (about 792.2¢).
 
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]      [[Category:5-limit]]
[[Category:interval]]
[[Category:interval]]
[[Category:just_interval]]
[[Category:just_interval]]
[[Category:ratio]]
[[Category:ratio]]

Revision as of 22:51, 17 October 2018

Interval information
Ratio 8/5
Factorization 23 × 5-1
Monzo [3 0 -1⟩
Size in cents 813.6863¢
Name minor sixth
FJS name [math]\displaystyle{ \text{m6}_{5} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 5.32193
Weil height (log2 max(n, d)) 6
Wilson height (sopfr(nd)) 11

[sound info]
Open this interval in xen-calc

In 5-limit Just Intonation, 8/5 is a minor sixth, measuring about 813.7¢. It is the 5th subharmonic, and thus the inversion of 5/4, the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of 16/15 (about 111.7¢) away from 3/2, and an 81/80 (about 21.5¢) away from the Pythagorean (3-limit) minor sixth of 128/81 (about 792.2¢).

See: Gallery of Just Intervals

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