Xenharmonic series: Difference between revisions
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Cmloegcmluin (talk | contribs) Created page with "Here's a place to gather xenharmonic variations on the harmonic series. Powharmonic series: <span><math>f(n) = n^p</math></span> Edharmonic series|E..." |
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[[Oddharmonic series|Oddharmonic series]]: <span><math>f(n) = 2n-1</math></span> | [[Oddharmonic series|Oddharmonic series]]: <span><math>f(n) = 2n-1</math></span> | ||
[[The_Prime_Harmonic_Series|Prime harmonic series]]: <span><math>f(n) = p_n</math></span> | |||
Revision as of 23:39, 9 February 2020
Here's a place to gather xenharmonic variations on the harmonic series.
Powharmonic series: [math]\displaystyle{ f(n) = n^p }[/math]
Edharmonic series: [math]\displaystyle{ f(n) = a^{H(n)} }[/math]
Logharmonic series: [math]\displaystyle{ f(n) = log_b{n} }[/math]
Matharmonic series: [math]\displaystyle{ f(n) = H(n) }[/math]
Metallic harmonic series: [math]\displaystyle{ f(n) = μ_n }[/math]
Superparticular series: [math]\displaystyle{ f(n) = \frac{n+1}{n} }[/math]
Subparticular series: [math]\displaystyle{ f(n) = \frac{n}{n+1} }[/math]
Oddharmonic series: [math]\displaystyle{ f(n) = 2n-1 }[/math]
Prime harmonic series: [math]\displaystyle{ f(n) = p_n }[/math]