Xenharmonic series

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]