10/7: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon = [[File:ji_glyph_10_7.png|alt=ji glyph 10 7.png|148x118px|ji glyph 10 7.png]] <small><br/>JI Glyph</small>
| Icon = [[File:ji_glyph_10_7.png|124px]] <small><br/>[[JI Glyphs|JI Glyph]]</small>
| Ratio = 10/7
| Ratio = 10/7
| Monzo = 1 0 1 -1  
| Monzo = 1 0 1 -1  

Revision as of 22:21, 17 October 2018

Interval information
Ratio 10/7
Factorization 2 × 5 × 7-1
Monzo [1 0 1 -1⟩
Size in cents 617.4878¢
Name high tritone
FJS name [math]\displaystyle{ \text{A4}^{5}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 6.12928
Weil norm (log2 max(n, d)) 6.64386
Wilson norm (sopfr(nd)) 14

[sound info]
Open this interval in xen-calc

Type: Utonal

In 7-limit Just Intonation, 10/7 is a high tritone measuring about 617.5¢. It has a similar sound to its inversion, 7/5, but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third (5/4) appears above the harmonic seventh (7/4), such as 4:6:7:10. (This particular chord is well-approximated in 88cET, which has a good approximation of 10/7 -- but no 7/5.)

See also Gallery of Just Intervals
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