29/1
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Ratio | 29/1 |
Subgroup monzo | 29 [1⟩ |
Size in cents | 5829.5772¢ |
Name | 29th harmonic |
Color name | c429o7 quadcotweno 7th |
FJS name | [math]\text{m35}^{29}[/math] |
Special properties | harmonic |
Tenney height (log2 nd) | 4.85798 |
Weil height (log2 max(n, d)) | 9.71596 |
Wilson height (sopfr (nd)) | 29 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.88238 bits |
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. 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.
See also
- 29/16 – its octave-reduced form