34/21: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 34/21
| Ratio = 34/21
| Monzo = 1 -1 0 -1 0 0 1
| Monzo = 1 -1 0 -1 0 0 1
| Cents = 834.17450
| Cents = 834.17450
| Name = septendecimal supraminor sixth
| Name = septendecimal supraminor sixth
| Color name =  
| Color name = 17or6, soru 6th
| FJS name = m6<sup>17</sup><sub>7</sub>
| FJS name = m6<sup>17</sup><sub>7</sub>
| Sound = ji-34-21-csound-foscil-220hz.mp3
| Sound = ji-34-21-csound-foscil-220hz.mp3
}}
}}


'''34/21''' is the '''septendecimal supraminor sixth'''.  
'''34/21''' is the '''septendecimal supraminor sixth'''.
 
This interval is a ratio of two consecutive Fibonacci numbers, therefore it approximates the [[golden ratio]]. In this case, 34/21 is ~1.1 [[cent|¢]] sharp of the golden ratio.


== See also ==
== See also ==
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[[Category:17-limit]]
[[Category:17-limit]]
[[Category:Interval]]
[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Supraminor sixth]]
[[Category:Supraminor sixth]]
[[Category:Golden]]
[[Category:Pages with internal sound examples]]


[[Category:Todo:expand]]
{{todo|expand}}

Revision as of 18:37, 18 December 2021

Interval information
Ratio 34/21
Factorization 2 × 3-1 × 7-1 × 17
Monzo [1 -1 0 -1 0 0 1
Size in cents 834.1745¢
Name septendecimal supraminor sixth
Color name 17or6, soru 6th
FJS name [math]\displaystyle{ \text{m6}^{17}_{7} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.47978
Weil height (log2 max(n, d)) 10.1749
Wilson height (sopfr(nd)) 29

[sound info]
Open this interval in xen-calc

34/21 is the septendecimal supraminor sixth.

This interval is a ratio of two consecutive Fibonacci numbers, therefore it approximates the golden ratio. In this case, 34/21 is ~1.1 ¢ sharp of the golden ratio.

See also