29/16: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = 29th harmonic, undetricesimal supraminor seventh
| Name = octave-reduced 29th harmonic, vicesimononal supraminor seventh
| Color name = 29o7, tweno 7th
| Color name = 29o7, tweno 7th
| Sound = jid_29_16_pluck_adu_dr220.mp3
| Sound = jid_29_16_pluck_adu_dr220.mp3
}}
}}
'''29/16''', the '''vicesimononal supraminor seventh''', is the [[octave reduction|octave-reduced]] 29th [[harmonic]]. It is sharp of the [[16/9|Pythagorean minor seventh (16/9)]] by [[261/256]] (~33{{cent}}), and sharp of the [[9/5|classic minor seventh (9/5)]] by [[145/144]] (~12{{cent}}).


'''29/16''' is the [[Octave reduction|octave-reduced]] 29th [[harmonic]]. The [[octave complement]] is [[32/29]]. It is sharp of the classic minor seventh ([[9/5]]) by [[145/144]] (~12 [[Cent|¢]]).
== Approximation ==
This interval is very accurately approximated by [[7edo]] (6\7).  
 
== See also ==
* [[32/29]] – its [[octave complement]]


[[Category:Seventh]]
[[Category:Seventh]]
[[Category:Minor seventh]]
[[Category:Minor seventh]]
[[Category:Equable heptatonic]]
[[Category:Equable heptatonic]]

Revision as of 08:55, 28 February 2024

Interval information
Ratio 29/16
Subgroup monzo 2.29 [-4 1
Size in cents 1029.577¢
Names octave-reduced 29th harmonic,
vicesimononal supraminor seventh
Color name 29o7, tweno 7th
FJS name [math]\displaystyle{ \text{m7}^{29} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 8.85798
Weil height (log2 max(n, d)) 9.71596
Wilson height (sopfr(nd)) 37

[sound info]
Open this interval in xen-calc

29/16, the vicesimononal supraminor seventh, is the octave-reduced 29th harmonic. It is sharp of the Pythagorean minor seventh (16/9) by 261/256 (~33 ¢), and sharp of the classic minor seventh (9/5) by 145/144 (~12 ¢).

Approximation

This interval is very accurately approximated by 7edo (6\7).

See also