Isoharmonic series: Difference between revisions
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Cmloegcmluin (talk | contribs) hopefully clarify and include Mike's feedback from the Talk page |
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An '''isoharmonic series''' is a variation on the [[harmonic series]], where every pitch has been shifted by a rational number. | An '''isoharmonic series''' is a variation on the [[harmonic series]], where every pitch has been linearly shifted by a rational number: | ||
<math>f(n) = c + n</math> where <math>c</math> is rational | |||
So for a:b:c:d:... you have b-a = c-b = d-c = etc. | |||
It is synonymous with the term [[OS]], otonal sequence, which is part of a system of [[arithmetic tuning|arithmetic]] and [[harmonotonic tuning|harmonotonic]] tunings. It is also essentially the series form of an [[isoharmonic chord]]. | |||
==See also== | ==See also== | ||
* [[Xenharmonic series]], for other variations on the harmonic series | * [[Xenharmonic series]], for other variations on the harmonic series | ||
Latest revision as of 16:56, 29 September 2025
An isoharmonic series is a variation on the harmonic series, where every pitch has been linearly shifted by a rational number:
[math]\displaystyle{ f(n) = c + n }[/math] where [math]\displaystyle{ c }[/math] is rational
So for a:b:c:d:... you have b-a = c-b = d-c = etc.
It is synonymous with the term OS, otonal sequence, which is part of a system of arithmetic and harmonotonic tunings. It is also essentially the series form of an isoharmonic chord.
See also
- Xenharmonic series, for other variations on the harmonic series