Xenharmonic series: Difference between revisions

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This is a list of '''xenharmonic series''', i.e. xenharmonic variations on the [[harmonic series]].

This is a list of '''xenharmonic series''', i.e. xenharmonic variations on the [[harmonic series]], <math>f(n) = n</math>, where <math>n</math> is an integer (as it is in all formulas below).

* [[AS|Ambitonal sequences]]: <math>f(n) = p^n</math>, where <math>p</math> is rational

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* [[Dumb Fibonacci|Dumb Fibonacci series]]: <math>f(n) = f(n-1) + f(n-2)</math>

* [[Edharmonic series]]: <math>f(n) = a^{H(n)}</math>

* [[~~Isoharmonic chord|~~Isoharmonic series]]

* [[Isoharmonic series]]: <math>f(n) = c + n</math> where <math>c</math> is rational

* [[Logharmonic series]]: <math>f(n) = \log_b{n}</math>

* [[Matharmonic series]]: <math>f(n) = H(n)</math>

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* [[OS|Otonal sequences]]: <math>f(n) = 1 + cn</math>, where <math>c</math> is rational

* [[Powharmonic series]]: <math>f(n) = n^p</math>

* [[Prime harmonic series]]: <math>f(n) = p_n</math>

* [[Prime harmonic series]]: <math>f(n) = p_n</math>, where <math>p</math> is prime

* [[Subharmonic series]]: <math>f(n) = \frac{1}{n}</math>

* [[Subparticular ~~series~~]]: <math>f(n) = \frac{n}{n+1}</math>

* [[Subparticular]] series: <math>f(n) = \frac{n}{n+1}</math>

* [[Superparticular ~~series~~]]: <math>f(n) = \frac{n+1}{n}</math>

* [[Superparticular]] series: <math>f(n) = \frac{n+1}{n}</math>

* [[Triangulharmonic series]]: <math>f(n) = \frac{n^2 + n}{2}</math>

* [[US|Utonal sequences]]: <math>f(n) = \frac{1}{1 + cn}</math>, where <math>c</math> is rational

== See also ==

* [[:Category:Xenharmonic series]]: Some more types may be documented there.

[[Category:Harmonic series‏‎]]

[[Category:Lists of scales]]

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-This is a list of '''xenharmonic series''', i.e. xenharmonic variations on the [[harmonic series]].
+This is a list of '''xenharmonic series''', i.e. xenharmonic variations on the [[harmonic series]], <math>f(n) = n</math>, where <math>n</math> is an integer (as it is in all formulas below).
 * [[AS|Ambitonal sequences]]: <math>f(n) = p^n</math>, where <math>p</math> is rational
@@ Line 7: / Line 7: @@
 * [[Dumb Fibonacci|Dumb Fibonacci series]]: <math>f(n) = f(n-1) + f(n-2)</math>
 * [[Edharmonic series]]: <math>f(n) = a^{H(n)}</math>
-* [[Isoharmonic chord|Isoharmonic series]]
+* [[Isoharmonic series]]: <math>f(n) = c + n</math> where <math>c</math> is rational
 * [[Logharmonic series]]: <math>f(n) = \log_b{n}</math>
 * [[Matharmonic series]]: <math>f(n) = H(n)</math>
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 * [[OS|Otonal sequences]]: <math>f(n) = 1 + cn</math>, where <math>c</math> is rational
 * [[Powharmonic series]]: <math>f(n) = n^p</math>
-* [[Prime harmonic series]]: <math>f(n) = p_n</math>
+* [[Prime harmonic series]]: <math>f(n) = p_n</math>, where <math>p</math> is prime
 * [[Subharmonic series]]: <math>f(n) = \frac{1}{n}</math>
-* [[Subparticular series]]: <math>f(n) = \frac{n}{n+1}</math>
+* [[Subparticular]] series: <math>f(n) = \frac{n}{n+1}</math>
-* [[Superparticular series]]: <math>f(n) = \frac{n+1}{n}</math>
+* [[Superparticular]] series: <math>f(n) = \frac{n+1}{n}</math>
 * [[Triangulharmonic series]]: <math>f(n) = \frac{n^2 + n}{2}</math>
 * [[US|Utonal sequences]]: <math>f(n) = \frac{1}{1 + cn}</math>, where <math>c</math> is rational
+== See also ==
+* [[:Category:Xenharmonic series]]: Some more types may be documented there.
+{{Navbox scale gallery}}
 [[Category:Harmonic series‏‎]]
 [[Category:Lists of scales]]