Xenharmonic series: Difference between revisions
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Here's a place to gather xenharmonic variations on the harmonic series. | Here's a place to gather xenharmonic variations on the harmonic series. | ||
[[ | * [[Powharmonic series]]: <span><math>f(n) = n^p</math></span> | ||
* [[Edharmonic series]]: <span><math>f(n) = a^{H(n)}</math></span> | |||
* [[Logharmonic series]]: <span><math>f(n) = log_b{n}</math></span> | |||
* [[Matharmonic series]]: <span><math>f(n) = H(n)</math></span> | |||
* [[Metallic harmonic series]]: <span><math>f(n) = μ_n</math></span> | |||
* [[Superparticular series]]: <span><math>f(n) = \frac{n+1}{n}</math></span> | |||
* [[Subparticular series]]: <span><math>f(n) = \frac{n}{n+1}</math></span> | |||
* [[Oddharmonic series]]: <span><math>f(n) = 2n-1</math></span> | |||
* [[Prime harmonic series]]: <span><math>f(n) = p_n</math></span> | |||
[[ | [[Category:Overview]] | ||
Revision as of 08:04, 12 June 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]