Logharmonic series: Difference between revisions
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== Introduction == | == Introduction == | ||
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The matharmonic series is to the logharmonic series as an edharmonic series is to a ln-of-a-[[Powharmonic series|powharmonic series]]. | The matharmonic series is to the logharmonic series as an edharmonic series is to a ln-of-a-[[Powharmonic series|powharmonic series]]. | ||
== Emulatory matharmonic series | == Emulatory matharmonic series == | ||
The first two steps of the matharmonic series are 1 and 3/2, which have the same ratio as the second and third steps of the harmonic series, 2 and 3. To make them align the matharmonic series may be rebased onto 2, starting it a step late, inserting a 1 before it starts. This brings it closer in similarity to the harmonic series; this similarity could be useful when using the entire series as a scale rather than drawing scales from it. We therefore propose referring to this variation as the "emulatory edharmonic series", because it emulates the harmonic series. | The first two steps of the matharmonic series are 1 and 3/2, which have the same ratio as the second and third steps of the harmonic series, 2 and 3. To make them align the matharmonic series may be rebased onto 2, starting it a step late, inserting a 1 before it starts. This brings it closer in similarity to the harmonic series; this similarity could be useful when using the entire series as a scale rather than drawing scales from it. We therefore propose referring to this variation as the "emulatory edharmonic series", because it emulates the harmonic series. | ||
An analogous | An analogous [https://en.xen.wiki/w/Powharmonic_series#Emulatory_edharmonic_series emulatory edharmonic series] exists. | ||
== Listening == | == Listening == | ||