Sin(x) tuning: Difference between revisions

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A '''sin(x) tuning'''{{idiosyncratic}} is a tuning where scale degrees are taken by graphing a {{w|sine wave}}. The sine wave has scale degrees on the x axis and [[frequency]] (not pitch) on the y axis. The sine wave has a maxima of 1 [[equave]] and a minima of -1 equave. The scale degrees are evenly spaced along the x axis and there can be any number of them.

{{todo|inline=1|review|research|text=Check that we have accurately represented the process described in the video (www.youtube.com/watch?v=nVanOyShJSA).}}

== History ==

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== Examples ==

=== 36-tone octave-equivalent sin(x) tuning ==

=== 36-tone octave-equivalent sin(x) tuning ===

Discovered by [[Ambient Esoterica]] in 2025. [[Scale Workshop]] link: [https://sevish.com/scaleworkshop/?n=SinWave_36steps_Note43is196Hz&l=5s.28z84_be.93ak_go._lf.21z1w_pj.1iapx_sv.4xud_vb.dizt_wt.ghlk_xc._wt.ghlk_vb.dizt_sv.4xud_pj.1iapx_lf.21z1w_go._be.93ak_5s.28z84_._-5s.28z84_-be.93ak_-go._-lf.21z1w_-pj.1iapx_-sv.4xud_-vb.dizt_-wt.ghlk_-xc._-wt.ghlk_-vb.dizt_-sv.4xud_-pj.1iapx_-lf.21z1w_-go._-be.93ak_-5s.28z84&f=5f.zx1j3mufj&m=17&version=2.5.7 SinWave_36steps_Note43is196Hz].

== ~~Generalisations~~ ==

== Generalizations ==

The concept of sin(x) tunings could perhaps be generalised by graphing other kinds of functions onto the frequency spectrum, such as other trigonometric functions, parabolic functions, hyperbolic functions, or anything else. In general, these could be called '''function(x) tunings'''~~{{idiosyncratic}}~~ (''proposed by [[Budjarn Lambeth]], 2025'').

The concept of sin(x) tunings could perhaps be generalised by graphing other kinds of functions onto the frequency spectrum, such as other trigonometric functions, parabolic functions, hyperbolic functions, or anything else. In general, these could be called '''function(x) tunings''' (''proposed by [[Budjarn Lambeth]], 2025'').

The concept of sin(x) tunings might also be generalised by graphing other kinds of syntgesizer waveforms onto the frequency spectrum, such as square waves, triangle waves, sawtooth waves, or more complex waveforms. In general, these could be called '''waveform(x) tunings''' (''proposed by [[Budjarn Lambeth]], 2025'').

It could also be generalised by using unequal steps, perhaps based on [[MOS]] patterns. Those could be called '''unequal function(x) tunings'''~~{{idiosyncratic}}~~ (''proposed by [[Budjarn Lambeth]], 2025'').

Sin(x) tunings could also be generalised by using unequal steps, perhaps based on [[MOS]] patterns. Those could be called '''unequal sin(x) tunings''', '''unequal function(x) tunings''' and '''unequal waveform(x) tunings''' (''proposed by [[Budjarn Lambeth]], 2025'').

== Music ==

@@ Line 1: / Line 1: @@
 A '''sin(x) tuning'''{{idiosyncratic}} is a tuning where scale degrees are taken by graphing a {{w|sine wave}}. The sine wave has scale degrees on the x axis and [[frequency]] (not pitch) on the y axis. The sine wave has a maxima of 1 [[equave]] and a minima of -1 equave. The scale degrees are evenly spaced along the x axis and there can be any number of them.
+{{todo|inline=1|review|research|text=Check that we have accurately represented the process described in the video (www.youtube.com/watch?v=nVanOyShJSA).}}
 == History ==
@@ Line 5: / Line 7: @@
 == Examples ==
-=== 36-tone octave-equivalent sin(x) tuning ==
+=== 36-tone octave-equivalent sin(x) tuning ===
 Discovered by [[Ambient Esoterica]] in 2025. [[Scale Workshop]] link: [https://sevish.com/scaleworkshop/?n=SinWave_36steps_Note43is196Hz&l=5s.28z84_be.93ak_go._lf.21z1w_pj.1iapx_sv.4xud_vb.dizt_wt.ghlk_xc._wt.ghlk_vb.dizt_sv.4xud_pj.1iapx_lf.21z1w_go._be.93ak_5s.28z84_._-5s.28z84_-be.93ak_-go._-lf.21z1w_-pj.1iapx_-sv.4xud_-vb.dizt_-wt.ghlk_-xc._-wt.ghlk_-vb.dizt_-sv.4xud_-pj.1iapx_-lf.21z1w_-go._-be.93ak_-5s.28z84&f=5f.zx1j3mufj&m=17&version=2.5.7 SinWave_36steps_Note43is196Hz].
-== Generalisations ==
+== Generalizations ==
-The concept of sin(x) tunings could perhaps be generalised by graphing other kinds of functions onto the frequency spectrum, such as other trigonometric functions, parabolic functions, hyperbolic functions, or anything else. In general, these could be called '''function(x) tunings'''{{idiosyncratic}} (''proposed by [[Budjarn Lambeth]], 2025'').
+{{idiosyncratic terms}}
+The concept of sin(x) tunings could perhaps be generalised by graphing other kinds of functions onto the frequency spectrum, such as other trigonometric functions, parabolic functions, hyperbolic functions, or anything else. In general, these could be called '''function(x) tunings''' (''proposed by [[Budjarn Lambeth]], 2025'').
+The concept of sin(x) tunings might also be generalised by graphing other kinds of syntgesizer waveforms onto the frequency spectrum, such as square waves, triangle waves, sawtooth waves, or more complex waveforms. In general, these could be called '''waveform(x) tunings''' (''proposed by [[Budjarn Lambeth]], 2025'').
-It could also be generalised by using unequal steps, perhaps based on [[MOS]] patterns. Those could be called '''unequal function(x) tunings'''{{idiosyncratic}} (''proposed by [[Budjarn Lambeth]], 2025'').
+Sin(x) tunings could also be generalised by using unequal steps, perhaps based on [[MOS]] patterns. Those could be called '''unequal sin(x) tunings''', '''unequal function(x) tunings''' and '''unequal waveform(x) tunings''' (''proposed by [[Budjarn Lambeth]], 2025'').
 == Music ==