Acoustic pi: Difference between revisions

(4 intermediate revisions by 4 users not shown)

Line 7:

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 ~~this interval~~ might have.

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 it are [[3/1]], [[22/7]], and [[355/113]].

Intervals that are close to the acoustic pi are [[3/1]], [[22/7]], and [[355/113]].

== Equal divisions ==

Using 3.14159…/1 as an interval of equivalence (known as the "'''pitave'''") results in some interesting [[nonoctave]] tunings.

== Approximations ==

{| class="wikitable"

Line 59:

Line 62:

* [[Pi-edo]]

* [[Radian]]

* [[Acoustic phi]]

* [[Acoustic e]]

* [[Edϕ]]

* [[EDe]]

* [[User:Eliora/Phi to the phi]]

== External links ==

@@ Line 7: / Line 7: @@
 {{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 this interval might have.
+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 it are [[3/1]], [[22/7]], and [[355/113]].
+Intervals that are close to the acoustic pi are [[3/1]], [[22/7]], and [[355/113]].
 == Equal divisions ==
 Using 3.14159…/1 as an interval of equivalence (known as the "'''pitave'''") results in some interesting [[nonoctave]] tunings.
+== Approximations ==
+{{interval edo approximation|interval=355/113}}
 {| class="wikitable"
@@ Line 59: / Line 62: @@
 * [[Pi-edo]]
 * [[Radian]]
+* [[Acoustic phi]]
+* [[Acoustic e]]
+* [[Edϕ]]
+* [[EDe]]
+* [[User:Eliora/Phi to the phi]]
 == External links ==