171/128: Difference between revisions

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'''171/128''' is the [[Octave reduction|octave-reduced]] 43rd [[harmonic]]. It serves an important role in [[8th Octave Overtone Tuning]] and other [[Overtone scale|over-2 scales]], where it is one of two perfect fourths available (the other being [[43/32]]).
'''171/128''' is the [[Octave reduction|octave-reduced]] 171st [[harmonic]]. It serves an important role in [[8th Octave Overtone Tuning]] and other [[Overtone scale|over-2 scales]], where it is one of two perfect fourths available (the other being [[43/32]]).
[[Category:Primodality]]
[[Category:Primodality]]

Revision as of 09:43, 6 January 2024

Interval information
Ratio 171/128
Subgroup monzo 2.3.19 [-7 2 1⟩
Size in cents 501.423¢
Name octave-reduced 171st harmonic
FJS name [math]\displaystyle{ \text{P4}^{19} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 14.4179
Weil height (log2 max(n, d)) 14.8357
Wilson height (sopfr(nd)) 39
Open this interval in xen-calc

171/128 is the octave-reduced 171st harmonic. It serves an important role in 8th Octave Overtone Tuning and other over-2 scales, where it is one of two perfect fourths available (the other being 43/32).

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