Sin(x) tuning - Revision history

BudjarnLambeth: /* Generalizations */

2025-03-20T23:00:58Z

Generalizations

← Older revision		Revision as of 23:00, 20 March 2025
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	== Generalizations ==		== 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'').

	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'').		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'').

			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 ==		== Music ==

BudjarnLambeth at 22:51, 20 March 2025

2025-03-20T22:51:23Z

← Older revision		Revision as of 22:51, 20 March 2025
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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.		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 ==		== History ==

BudjarnLambeth at 22:48, 20 March 2025

2025-03-20T22:48:39Z

← Older revision		Revision as of 22:48, 20 March 2025
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	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].		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'''{{idiosyncratic}} (''proposed by [[Budjarn Lambeth]], 2025'').

BudjarnLambeth at 22:47, 20 March 2025

2025-03-20T22:47:14Z

← Older revision		Revision as of 22:47, 20 March 2025
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	== Examples ==		== 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].		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].

BudjarnLambeth: Documented a type of tuning invented by Ambient Esoterica

2025-03-20T22:46:45Z

Documented a type of tuning invented by Ambient Esoterica

New page

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.

== History ==
Sin(x) tunings were invented by [[Ambient Esoterica]] in 2025. The first one described was the '''36-tone [[Octave equivalence|octave-equivalent]] sin(x) tuning''' which was used in Ambient Esoterica’s March 2025 composition, [https://www.youtube.com/watch?v=nVanOyShJSA ''Synths in Experimental Temperaments: sin(x) Tuning''].

== Examples ==
=== 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 ==
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'').

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'').

== Music ==
* [https://www.youtube.com/watch?v=nVanOyShJSA ''Synths in Experimental Temperaments: sin(x) Tuning''] - Ambient Esoterica (2025)

[[Category:Tuning]]