Logarithmic intonation: Difference between revisions
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'''Logarithmic intonation''' ('''LI'''){{idiosyncratic}} is a form of intonation that is similar to [[just intonation]] but rather than using primes as the basis elements, it uses the natural logarithms of integers (ln(2), ln(3), ln(4) and so on). Logarithmic intonation is a superset of just intonation, because the interval n/d can be expressed as ln(x<sup>n</sup>)/ln(x<sup>d</sup>) for any integer x, but the majority of it consists of irrational intervals. It can be viewed as using the e-[[logharmonic series]] instead of the [[harmonic series]]. | '''Logarithmic intonation''' ('''LI'''){{idiosyncratic}} is a form of intonation that is similar to [[just intonation]] but rather than using primes as the basis elements, it uses the natural logarithms of integers (ln(2), ln(3), ln(4) and so on). Logarithmic intonation is a superset of just intonation, because the interval n/d can be expressed as ln(x<sup>n</sup>)/ln(x<sup>d</sup>) for any integer x, but the majority of it consists of irrational intervals. It can be viewed as using the e-[[logharmonic series]] instead of the [[harmonic series]]. | ||
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* [[Logharmonic series]] | * [[Logharmonic series]] | ||
[[Category:Math]] | |||
[[Category:Method]] | [[Category:Method]] | ||
[[Category:Irrational intervals]] | [[Category:Irrational intervals]] | ||