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]
• Triangulharmonic series: [math]\displaystyle{ f(n) = \frac{n^2 + n}{2} }[/math]

See also: Arithmetic tunings.