32/29: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Yourmusic Productions (talk | contribs)
More relationships.
Xenllium (talk | contribs)
No edit summary
 
(2 intermediate revisions by one other user not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Name = undetricesimal submajor second, 29th subharmonic
| Name = vicesimononal submajor second, octave-reduced 29th subharmonic
| Color name = twenu 2nd, 29u2
| Color name = twenu 2nd, 29u2
}}
}}
In [[29-limit]] [[just intonation]], '''32/29''' is the '''vicesimononal submajor second''', which is also the [[octave reduction|octave-reduced]] 29th [[subharmonic]]. It is flat of the [[9/8|Pythagorean whole tone (9/8)]] by [[261/256]] (~33{{cent}}), and flat of the [[10/9|classical whole tone (10/9)]] by [[145/144]] (~12{{cent}}).


'''32/29''', the '''undetricesimal submajor second''', is a [[29-limit]] interval. It is approximately a cent away from the step size of [[7edo]]
== Approximation ==
This interval is very accurately approximated by 7edo (1\7). It is approximately a cent away from it.


The octave complement is [[29/16]].
== See also ==
* [[29/16]] – its octave complement
* [[29/24]] – its fifth complement


[[Category:Second]]
[[Category:Major second]]
[[Category:Neutral second]]
[[Category:Equable heptatonic]]
[[Category:Equable heptatonic]]

Latest revision as of 14:26, 4 April 2025

Interval information
Ratio 32/29
Subgroup monzo 2.29 [5 -1
Size in cents 170.4228¢
Names vicesimononal submajor second,
octave-reduced 29th subharmonic
Color name twenu 2nd, 29u2
FJS name [math]\displaystyle{ \text{M2}_{29} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 9.85798
Weil height (log2 max(n, d)) 10
Wilson height (sopfr(nd)) 39
Open this interval in xen-calc

In 29-limit just intonation, 32/29 is the vicesimononal submajor second, which is also the octave-reduced 29th subharmonic. It is flat of the Pythagorean whole tone (9/8) by 261/256 (~33 ¢), and flat of the classical whole tone (10/9) by 145/144 (~12 ¢).

Approximation

This interval is very accurately approximated by 7edo (1\7). It is approximately a cent away from it.

See also

  • 29/16 – its octave complement
  • 29/24 – its fifth complement