Powharmonic series: Difference between revisions
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=== Naming details === | === Naming details === | ||
We cross-pollinate the abbreviation for "[[wikipedia:Equal_temperament|equal division]]" with affiliation for the pronunciation of "[[wikipedia:Enharmonic|enharmonic]]" to get the name "edharmonic series". | We cross-pollinate the abbreviation for "[[wikipedia:Equal_temperament|equal division]]" with affiliation for the pronunciation of "[[wikipedia:Enharmonic|enharmonic]]" to get the name "edharmonic series". | ||
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=== Other examples === | === Other examples === | ||
As another example, the 3-edharmonic series would be moving first by a tritave (1ed3), then by 2ed3, 3ed3, 4ed3, etc. | As another example, the 3-edharmonic series would be moving first by a tritave (1ed3), then by 2ed3, 3ed3, 4ed3, etc. | ||
=== Analogy with matharmonic series === | === Analogy with matharmonic series === | ||
Edharmonic series are to powharmonic series as the matharmonic series is to the [[Logharmonic series|logharmonic series]]. | Edharmonic series are to powharmonic series as the matharmonic series is to the [[Logharmonic series|logharmonic series]]. | ||
=== Emulatory edharmonic series === | === Emulatory edharmonic series === | ||
The 0<sup>th</sup> harmonic number is not defined, however, if it were, it seems reasonable to assume it would be defined as 0; in other words, the first step of the harmonic series would be to add <span><math>\frac11</math></span> to 0. | The 0<sup>th</sup> harmonic number is not defined, however, if it were, it seems reasonable to assume it would be defined as 0; in other words, the first step of the harmonic series would be to add <span><math>\frac11</math></span> to 0. | ||
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== See also == | == See also == | ||
[[Harmonotonic tunings]]: powharmonic series are non-[[Arithmetic tunings|arithmetic]] harmonotonic tunings. | [[Harmonotonic tunings]]: powharmonic series are non-[[Arithmetic tunings|arithmetic]] harmonotonic tunings. | ||