User:Pailiaq - Revision history

Pailiaq: /* Contributions: */ just adding to resource pages to help me figure out wtf im doing

2026-05-26T01:51:19Z

Contributions:: just adding to resource pages to help me figure out wtf im doing

← Older revision		Revision as of 01:51, 26 May 2026
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	<nowiki/>[[Template:Interval edo approximation]]		<nowiki/>[[Template:Interval edo approximation]]

			Chord modules

			[[Template:Chord edo approximation]]

			[[Module:Chord edo approximation]]

			https://en.xen.wiki/w/User:Pailiaq/common.js

			https://en.xen.wiki/w/User:Pailiaq/common.css

Pailiaq at 05:58, 23 December 2025

2025-12-23T05:58:23Z

← Older revision		Revision as of 05:58, 23 December 2025
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	[[Phith root of phi]]		[[Phith root of phi]]

			[[User:Pailiaq/Tritone substitution]]

	=== Modules/Templates/Code ===		=== Modules/Templates/Code ===

Pailiaq: /* Contributions: */

2025-11-26T21:55:20Z

Contributions:

← Older revision		Revision as of 21:55, 26 November 2025
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	[[Hobbled Scales]]		[[Hobbled Scales]]

			[[Phith root of phi]]

	=== Modules/Templates/Code ===		=== Modules/Templates/Code ===

Pailiaq at 21:12, 13 November 2025

2025-11-13T21:12:00Z

← Older revision		Revision as of 21:12, 13 November 2025
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	pailiaq is an electronic music producer who refuses to continue writing about himself in the third person. I make psychedelic glitch hop, dubstep and downtempo music, often with a microtonal twist. I teach music production and sound design and have worked as a professional audio systems engineer, running psychoacoustics experiments and researched multichannel surround sound audio.		pailiaq is an electronic music producer who refuses to continue writing about himself in the third person. I make psychedelic glitch hop, dubstep and downtempo music, often with a microtonal twist. I teach music production and sound design and have worked as a professional audio systems engineer, running psychoacoustics experiments and researched multichannel surround sound audio.

			My special interests are in dual fifth tunings, particularly 23edo as a result of the TOTYW2025 effort in the XA discord to explore 23edo.

	I have a [https://www.youtube.com/@pailiaq youtube channel] where I livestream music production, teach sound design, and explore xen theory.		I have a [https://www.youtube.com/@pailiaq youtube channel] where I livestream music production, teach sound design, and explore xen theory.

Pailiaq at 21:08, 13 November 2025

2025-11-13T21:08:12Z

← Older revision		Revision as of 21:08, 13 November 2025
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			pailiaq is an electronic music producer who refuses to continue writing about himself in the third person. I make psychedelic glitch hop, dubstep and downtempo music, often with a microtonal twist. I teach music production and sound design and have worked as a professional audio systems engineer, running psychoacoustics experiments and researched multichannel surround sound audio.

	~~I'm a~~ electronic music producer. I make psychedelic glitch hop, dubstep and downtempo music, often with a microtonal twist. I teach music production and sound design and have worked as a professional audio systems engineer, running psychoacoustics experiments and researched multichannel surround sound audio.

	I have a [https://www.youtube.com/@pailiaq youtube channel] where I livestream music production, teach sound design, and explore xen theory.		I have a [https://www.youtube.com/@pailiaq youtube channel] where I livestream music production, teach sound design, and explore xen theory.

Pailiaq: /* Music */

2025-11-13T21:07:18Z

Music

← Older revision		Revision as of 21:07, 13 November 2025
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	I have a [https://www.youtube.com/@pailiaq youtube channel] where I livestream music production, teach sound design, and explore xen theory.		I have a [https://www.youtube.com/@pailiaq youtube channel] where I livestream music production, teach sound design, and explore xen theory.

	== Music ==		== Music n Socials==

	[https://soundcloud.com/pailiaq Soundcloud]		[https://soundcloud.com/pailiaq Soundcloud]
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	[https://open.spotify.com/artist/202f1kyy3iB15e5ol3b7NG?si=AeYrFmeGSyOsXbgRSSU6vw Spotify]		[https://open.spotify.com/artist/202f1kyy3iB15e5ol3b7NG?si=AeYrFmeGSyOsXbgRSSU6vw Spotify]

			[https://tidal.com/artist/16403977/u Tidal]

			[https://www.instagram.com/pailiaq/ Instagram]

			[https://www.twitch.tv/pailiaq Twitch]

	== Xen Tutorials ==		== Xen Tutorials ==

Pailiaq at 21:05, 13 November 2025

2025-11-13T21:05:34Z

← Older revision	Revision as of 21:05, 13 November 2025
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		I'm a electronic music producer. I make psychedelic glitch hop, dubstep and downtempo music, often with a microtonal twist. I teach music production and sound design and have worked as a professional audio systems engineer, running psychoacoustics experiments and researched multichannel surround sound audio.

		I have a [https://www.youtube.com/@pailiaq youtube channel] where I livestream music production, teach sound design, and explore xen theory.

		== Music ==

		[https://soundcloud.com/pailiaq Soundcloud]

		[https://pailiaq.bandcamp.com/ Bandcamp]

		[https://open.spotify.com/artist/202f1kyy3iB15e5ol3b7NG?si=AeYrFmeGSyOsXbgRSSU6vw Spotify]

		== Xen Tutorials ==

		[https://www.youtube.com/watch?v=tU052pvAfuc\| Intro to Microtonal and Xenharmonic Theory ]

		[https://www.youtube.com/watch?v=cwjbhD2fdZ4 Ableton Microtuner & Sound Design Tutorial]

		[https://www.youtube.com/watch?v=DHxp2CqE0Sc& 'Bleak' 26edo Track breakdown]

		== Contributions: ==

		=== Articles ===

		[[Hobbled Scales]]

		=== Modules/Templates/Code ===

		<nowiki/>[[Module:Interval edo approximation]]

		<nowiki/>[[Template:Interval edo approximation]]

Pailiaq: Pailiaq moved page Module:Interval Edo Approximations to User:Pailiaq over redirect

2025-11-03T05:06:16Z

Pailiaq moved page Module:Interval Edo Approximations to User:Pailiaq over redirect

← Older revision	Revision as of 05:06, 3 November 2025
(No difference)

Pailiaq: Blanked the page

2025-11-03T04:54:54Z

Blanked the page

← Older revision		Revision as of 04:54, 3 November 2025
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	~~-- EDO Approximations Module~~
	~~-- Calculates EDO approximations for just intervals~~
	~~-- Usage: {{#invoke:EDO_Approximations\|main\|interval=3/2\|tolerance=9\|min_edo=10\|max_edo=60}}~~

	~~local p = {}~~

	~~-- Convert a frequency ratio to cents~~
	~~local function cents(ratio)~~
	~~return 1200 * math.log(ratio, 2)~~
	~~end~~

	~~-- Parse a ratio string like '3/2' into a number~~
	~~local function parse_ratio(ratio_str)~~
	~~local num, denom = ratio_str:match("^(%d+)/(%d+)$")~~
	~~if not num or not denom then~~
	~~return nil~~
	~~end~~
	~~return tonumber(num) / tonumber(denom)~~
	~~end~~

	~~-- Find the best approximation of an interval in a given EDO~~
	~~local function find_best_approximation(ratio_cents, edo)~~
	~~local edostep = 1200 / edo~~
	~~-- Find the nearest step~~
	~~local best_step = math.floor(ratio_cents / edostep + 0.5)~~
	~~local approximation_cents = best_step * edostep~~
	~~local absolute_error = approximation_cents - ratio_cents~~
	~~local relative_error = (absolute_error / edostep) * 100~~

	~~return best_step, absolute_error, relative_error~~
	~~end~~

	~~-- Calculate all EDO approximations within tolerance for a given ratio~~
	~~local function calculate_edo_approximations(ratio, tolerance, min_edo, max_edo)~~
	~~local ratio_cents = cents(ratio)~~
	~~local results = {}~~

	~~for edo = min_edo, max_edo do~~
	~~local steps, abs_error, rel_error = find_best_approximation(ratio_cents, edo)~~

	~~if math.abs(rel_error) <= tolerance then~~
	~~table.insert(results, {~~
	~~edo = edo,~~
	~~steps = steps,~~
	~~abs_error = abs_error,~~
	~~rel_error = rel_error~~
	})
	~~end~~
	~~end~~

	~~return results~~
	~~end~~

	~~-- Format a number with sign and 2 decimal places~~
	~~local function format_error(value)~~
	~~if value >= 0 then~~
	~~return string.format("+%.2f", value)~~
	~~else~~
	~~return string.format("%.2f", value)~~
	~~end~~
	~~end~~

	~~-- Main function to generate the wikitable~~
	~~function p.main(frame)~~
	~~-- Get parameters from template invocation~~
	~~local args = frame.args~~
	~~local interval_str = args.interval or args[1]~~
	~~local tolerance = tonumber(args.tolerance) or 9.0~~
	~~local min_edo = tonumber(args.min_edo) or 10~~
	~~local max_edo = tonumber(args.max_edo) or 60~~

	~~-- Validate and parse interval~~
	~~if not interval_str then~~
	~~return "Error: No interval specified"~~
	~~end~~

	~~local ratio = parse_ratio(interval_str)~~
	~~if not ratio then~~
	~~return "Error: Invalid interval format (use format like '3/2')"~~
	~~end~~

	~~-- Calculate approximations~~
	~~local results = calculate_edo_approximations(ratio, tolerance, min_edo, max_edo)~~

	~~if #results == 0 then~~
	~~return "No EDOs found within tolerance of " .. tolerance .. "%"~~
	~~end~~

	~~-- Build the wikitable~~
	~~local output = {}~~
	~~table.insert(output, '{\| class="wikitable"')~~
	~~table.insert(output, '\|+ EDO Approximations for ' .. interval_str)~~
	~~table.insert(output, '\|-')~~
	~~table.insert(output, '! EDO !! Step size !! Absolute Error ([[Cent\|¢]]) !! [[Relative_interval_error\|Relative Error]] ([[Relative_cent\|%]])')~~

	~~for _, result in ipairs(results) do~~
	~~local edo_link = string.format("[[%dedo\|%d]]", result.edo, result.edo)~~
	~~local step_size = string.format("%d\\%d", result.steps, result.edo)~~
	~~local abs_err = format_error(result.abs_error)~~
	~~local rel_err = format_error(result.rel_error)~~

	~~table.insert(output, '\|-')~~
	~~table.insert(output, string.format('\| %s \|\| %s \|\| %s \|\| %s', edo_link, step_size, abs_err, rel_err))~~
	~~end~~

	~~table.insert(output, '\|}')~~

	~~return table.concat(output, '\n')~~
	~~end~~

	~~return p~~

Pailiaq: shh dont pay attention to me im tryin to figure out modules

2025-11-03T04:54:25Z

shh dont pay attention to me im tryin to figure out modules

← Older revision	Revision as of 04:54, 3 November 2025
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		-- EDO Approximations Module
		-- Calculates EDO approximations for just intervals
		-- Usage: {{#invoke:EDO_Approximations\|main\|interval=3/2\|tolerance=9\|min_edo=10\|max_edo=60}}

		local p = {}

		-- Convert a frequency ratio to cents
		local function cents(ratio)
		return 1200 * math.log(ratio, 2)
		end

		-- Parse a ratio string like '3/2' into a number
		local function parse_ratio(ratio_str)
		local num, denom = ratio_str:match("^(%d+)/(%d+)$")
		if not num or not denom then
		return nil
		end
		return tonumber(num) / tonumber(denom)
		end

		-- Find the best approximation of an interval in a given EDO
		local function find_best_approximation(ratio_cents, edo)
		local edostep = 1200 / edo
		-- Find the nearest step
		local best_step = math.floor(ratio_cents / edostep + 0.5)
		local approximation_cents = best_step * edostep
		local absolute_error = approximation_cents - ratio_cents
		local relative_error = (absolute_error / edostep) * 100

		return best_step, absolute_error, relative_error
		end

		-- Calculate all EDO approximations within tolerance for a given ratio
		local function calculate_edo_approximations(ratio, tolerance, min_edo, max_edo)
		local ratio_cents = cents(ratio)
		local results = {}

		for edo = min_edo, max_edo do
		local steps, abs_error, rel_error = find_best_approximation(ratio_cents, edo)

		if math.abs(rel_error) <= tolerance then
		table.insert(results, {
		edo = edo,
		steps = steps,
		abs_error = abs_error,
		rel_error = rel_error
		})
		end
		end

		return results
		end

		-- Format a number with sign and 2 decimal places
		local function format_error(value)
		if value >= 0 then
		return string.format("+%.2f", value)
		else
		return string.format("%.2f", value)
		end
		end

		-- Main function to generate the wikitable
		function p.main(frame)
		-- Get parameters from template invocation
		local args = frame.args
		local interval_str = args.interval or args[1]
		local tolerance = tonumber(args.tolerance) or 9.0
		local min_edo = tonumber(args.min_edo) or 10
		local max_edo = tonumber(args.max_edo) or 60

		-- Validate and parse interval
		if not interval_str then
		return "Error: No interval specified"
		end

		local ratio = parse_ratio(interval_str)
		if not ratio then
		return "Error: Invalid interval format (use format like '3/2')"
		end

		-- Calculate approximations
		local results = calculate_edo_approximations(ratio, tolerance, min_edo, max_edo)

		if #results == 0 then
		return "No EDOs found within tolerance of " .. tolerance .. "%"
		end

		-- Build the wikitable
		local output = {}
		table.insert(output, '{\| class="wikitable"')
		table.insert(output, '\|+ EDO Approximations for ' .. interval_str)
		table.insert(output, '\|-')
		table.insert(output, '! EDO !! Step size !! Absolute Error ([[Cent\|¢]]) !! [[Relative_interval_error\|Relative Error]] ([[Relative_cent\|%]])')

		for _, result in ipairs(results) do
		local edo_link = string.format("[[%dedo\|%d]]", result.edo, result.edo)
		local step_size = string.format("%d\\%d", result.steps, result.edo)
		local abs_err = format_error(result.abs_error)
		local rel_err = format_error(result.rel_error)

		table.insert(output, '\|-')
		table.insert(output, string.format('\| %s \|\| %s \|\| %s \|\| %s', edo_link, step_size, abs_err, rel_err))
		end

		table.insert(output, '\|}')

		return table.concat(output, '\n')
		end

		return p