29/1: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Francium (talk | contribs)
m typo
+missing point
Line 4: Line 4:
}}
}}


'''29/1''', the '''29th harmonic''', is the [[harmonic]] past [[28/1]] and before [[30/1]]. It is about four [[octave]]s and ten [[semitone]]s in size. Used in harmony, it sounds particularly wide: if the base note is F1, the higher note will be about Eb6. That is for all practical purposes beyond the range of {{w|choral music}}. It is however, the basis of [[29-limit]] harmony, as many 29-limit intervals can be expressed as the difference between this and another harmonic.  
'''29/1''', the '''29th harmonic''', is the [[harmonic]] past [[28/1]] and before [[30/1]]. It is about four [[octave]]s and ten [[semitone]]s in size. Used in harmony, it sounds particularly wide: if the base note is F1, the higher note will be about Eb6. That is for all practical purposes beyond the range of {{w|choral music}}. However, it remains useful in some instrumental solos and ensembles. It is the basis of [[29-limit]] harmony, as many 29-limit intervals can be expressed as the difference between this and another harmonic.  


== See also ==
== See also ==
* [[29/16]] – its [[octave reduction|octave-reduced]] form
* [[29/16]] – its [[octave reduction|octave-reduced]] form

Revision as of 18:26, 28 November 2024

Interval information
Ratio 29/1
Subgroup monzo 29 [1
Size in cents 5829.577¢
Name 29th harmonic
Color name c429o7
quadcotweno 7th
FJS name [math]\displaystyle{ \text{m35}^{29} }[/math]
Special properties harmonic,
prime harmonic
Tenney norm (log2 nd) 4.85798
Weil norm (log2 max(n, d)) 9.71596
Wilson norm (sopfr(nd)) 29
Open this interval in xen-calc

29/1, the 29th harmonic, is the harmonic past 28/1 and before 30/1. It is about four octaves and ten semitones in size. Used in harmony, it sounds particularly wide: if the base note is F1, the higher note will be about Eb6. That is for all practical purposes beyond the range of choral music. However, it remains useful in some instrumental solos and ensembles. It is the basis of 29-limit harmony, as many 29-limit intervals can be expressed as the difference between this and another harmonic.

See also