29/16: Difference between revisions

Interval information
Ratio	29/16
Subgroup monzo	2.29 [-4 1⟩
Size in cents	1029.577¢
Names	vicesimononal supraminor seventh,; octave-reduced 29th harmonic
Color name	29o7, tweno 7th
FJS name	[math]\displaystyle{ \text{m7}^{29} }[/math]
Special properties	reduced,; reduced harmonic
Tenney norm (log2 nd)	8.85798
Weil norm (log2 max(n, d))	9.71596
Wilson norm (sopfr(nd))	37
	https://en.xen.wiki/w/File:Jid_29_16_pluck_adu_dr220.mp3; [sound info]
	Open this interval in xen-calc

Revision as of 09:09, 28 February 2024

In 29-limit just intonation, 29/16 is the vicesimononal supraminor seventh, which is also 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 ¢).

This interval is very accurately approximated by 7edo (6\7). It is approximately a cent away from it.

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 | 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}}).
+In [[29-limit]] [[just intonation]], '''29/16''' is the '''vicesimononal supraminor seventh''', which is also 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}}).
 == Approximation ==