Harmonotonic tuning: Difference between revisions
Cmloegcmluin (talk | contribs) harmonic -> over/undertone |
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A monotonic tuning is one whose step sizes are [https://en.wikipedia.org/wiki/Monotonic_function monotonic]: they do not both increase and decrease. | |||
* A diatonic tuning is '''not''' monotonic because it goes back and forth between whole and half steps. | * A diatonic tuning is '''not''' monotonic because it goes back and forth between whole and half steps. | ||
* A segment of the overtone series '''is''' monotonic because its steps always decrease in size (within the interval of repetition). | * A segment of the overtone series '''is''' monotonic because its steps always decrease in size (within the interval of repetition). | ||
* An EDO tuning '''is''' monotonic because the steps are all the same size. | * An EDO tuning '''is''' monotonic because the steps are all the same size. | ||
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| [[File:Diatonic scale not monotonic.svg|thumb]] || [[File:Overtone series segment monotonic.svg|thumb]] || [[File:EDO monotonic.svg|thumb]] | |||
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== Categorization == | == Categorization == | ||
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And here are the three different '''types''': | And here are the three different '''types''': | ||
# arithmetic & rational | # [[Monotonic tunings#Arithmetic tunings|arithmetic]] & rational | ||
# arithmetic & irrational | # arithmetic & irrational | ||
# non-arithmetic & irrational | # non-arithmetic & irrational | ||