Acoustic pi: Difference between revisions
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{{Wikipedia|Pi}} | {{Wikipedia|Pi}} | ||
The '''acoustic pi''', the transcendental number equal to the [[ratio]] of a circle's circumference to the diameter, is about 3.14159, a rather minor thirteenth of 1981.795 [[cent]]s. Octave-[[equivalent]] intervals include '''acoustic tau''' (3181.795 [[cent]]s) and '''reduced acoustic pi''' (781.795 cents). It is unclear what psychoacoustic significance | The '''acoustic pi''', the transcendental number equal to the [[ratio]] of a circle's circumference to the diameter, is about 3.14159, a rather minor thirteenth of 1981.795 [[cent]]s. Octave-[[equivalent]] intervals include '''acoustic tau''' (3181.795 [[cent]]s) and '''reduced acoustic pi''' (781.795 cents). It is unclear what psychoacoustic significance these intervals might have. | ||
Intervals that are close to | Intervals that are close to the acoustic pi are [[3/1]], [[22/7]], and [[355/113]]. | ||
== Equal divisions == | == Equal divisions == | ||
Using 3.14159…/1 as an interval of equivalence (known as the "'''pitave'''") results in some interesting [[nonoctave]] tunings. | Using 3.14159…/1 as an interval of equivalence (known as the "'''pitave'''") results in some interesting [[nonoctave]] tunings. | ||
==Approximations== | == Approximations == | ||
{{interval edo approximation | interval = 314159/100000}} | {{interval edo approximation|interval=314159/100000}} | ||
{| class="wikitable" | {| class="wikitable" | ||