21/13: Difference between revisions

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m Normalising usage of Infobox Interval
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{{Infobox Interval
{{Infobox Interval
| Ratio = 21/13
| Monzo = 0 1 0 1 0 -1
| Cents = 830.25325
| Name = tridecimal supraminor sixth
| Name = tridecimal supraminor sixth
| Color name = thuzo 6th, 3uz6
| Color name = thuzo 6th, 3uz6
| FJS name = M6<sup>7</sup><sub>13</sub>
| Sound = ji-21-13-csound-foscil-220hz.mp3
| Sound = ji-21-13-csound-foscil-220hz.mp3
}}
}}
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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:13-limit]]
[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Supraminor sixth]]
[[Category:Supraminor sixth]]
[[Category:Golden ratio approximations]]
[[Category:Golden ratio approximations]]

Revision as of 13:01, 25 October 2022

Interval information
Ratio 21/13
Factorization 3 × 7 × 13-1
Monzo [0 1 0 1 0 -1
Size in cents 830.2532¢
Name tridecimal supraminor sixth
Color name thuzo 6th, 3uz6
FJS name [math]\displaystyle{ \text{M6}^{7}_{13} }[/math]
Special properties reduced
Tenney height (log2 nd) 8.09276
Weil height (log2 max(n, d)) 8.78463
Wilson height (sopfr(nd)) 23

[sound info]
Open this interval in xen-calc

21/13, the tridecimal supraminor sixth, is ca. 830 cents in size. It has a very good approximation in 13edo.

This interval is a ratio of two consecutive Fibonacci numbers, therefore it approximates the golden ratio, specifically acoustic phi. In this case, 21/13 is ~2.8 ¢ flat of the golden ratio.

See also