10/7: Difference between revisions

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{| class="wikitable"
{{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>
| | [[File:ji_glyph_10_7.png|alt=ji glyph 10 7.png|148x118px|ji glyph 10 7.png]]
| Ratio = 10/7
|-
| Cents = 617.48781
| | JI Glyph for 10/7
| Monzo = 1 0 1 -1  
|}
| Name = high tritone
 
| Sound = jid_10_7_pluck_adu_dr220.mp3
'''10/7'''
}}
|1 0 1 -1&gt;
 
617.48781 cents


Type: Utonal  
Type: Utonal  
[[File:jid_10_7_pluck_adu_dr220.mp3]] [[:File:jid_10_7_pluck_adu_dr220.mp3|sound sample]]


In [[7-limit|7-limit]] [[Just_intonation|Just Intonation]], 10/7 is a high tritone measuring about 617.5¢. It has a similar sound to its inversion, [[7/5|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|5/4]]) appears above the harmonic seventh ([[7/4|7/4]]), such as 4:6:7:10. (This particular chord is well-approximated in [[88cET|88cET]], which has a good approximation of 10/7 -- but no 7/5.)
In [[7-limit|7-limit]] [[Just_intonation|Just Intonation]], 10/7 is a high tritone measuring about 617.5¢. It has a similar sound to its inversion, [[7/5|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|5/4]]) appears above the harmonic seventh ([[7/4|7/4]]), such as 4:6:7:10. (This particular chord is well-approximated in [[88cET|88cET]], which has a good approximation of 10/7 -- but no 7/5.)

Revision as of 14:22, 11 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: Gallery of Just Intervals

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