Module:MOS tuning spectrum

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This module should not be invoked directly; use its corresponding template instead: Template:MOS tuning spectrum.

This template displays the tuning spectrum of a given mos scale, showing various step ratios between 1:1 to 1:0 (by default).

Introspection summary for Module:MOS tuning spectrum
Functions provided (3) Line Function Params 13 _mos_tuning_spectrum (main) (args) 157 mos_tuning_spectrum (invokable) (frame) 216 tester none	Lua modules required (4) Variable Module Functions used getArgs Module:Arguments getArgs mediants Module:Mediants find_mediants deepest_depth find_mediants_by_int_limit mos Module:MOS new period_count et_suffix as_string et_string bright_gen_to_et_steps bright_gen_to_cents bright_gen_to_et_string dark_gen_to_et_steps dark_gen_to_cents parse yesno Module:yesno yesno

No function descriptions were provided. The Lua code may have further information.

---

local mos = require("Module:MOS")
local mediants = require("Module:Mediants")
local yesno = require("Module:yesno")
local getArgs = require("Module:Arguments").getArgs
local p = {}

-- TODO:
-- - (Low priority): Force-add comments that lie outside searched depth. If such
--   ratios are added, they're added in either the last column or their own
--   column appended after the last one.

-- Re-re-rewrite of tuning spectrum
function p._mos_tuning_spectrum(args)
	-- Find default ratios, if nothing was entered
	local default_ratios, default_depths
	local default_depth = 5
	default_ratios, default_depths = mediants.find_mediants({{1,1}, {1,0}}, default_depth)
	
	local input_mos   = args["Input MOS"  ] or mos.new(5, 2)
	local comments    = args["Comments"   ] or {}
	local step_ratios = args["Step Ratios"] or default_ratios
	local depths      = args["Depths"     ] or default_depths
	local deepest     = mediants.deepest_depth(depths)
	
	local equave      = input_mos.equave
	local large_steps = input_mos.nL		-- Large steps in mos
	local small_steps = input_mos.ns		-- Small steps in mos
	local periods     = mos.period_count(input_mos)	-- Number of periods
	
	-- What is the et suffix (edo, edt, edf, ed-p/q)?
	local et_suffix = mos.et_suffix(input_mos)
	
	-- Default comments for TAMNAMS-named step ratios
	local default_comments = {}
	local mos_as_string = mos.as_string(input_mos)
	default_comments["1/1"] = string.format("'''Equalized %s'''", mos_as_string)
	default_comments["4/3"] = string.format("'''Supersoft %s'''", mos_as_string)
	default_comments["3/2"] = string.format("'''Soft %s'''", mos_as_string)
	default_comments["5/3"] = string.format("'''Semisoft %s'''", mos_as_string)
	default_comments["2/1"] = string.format("'''Basic %s'''", mos_as_string)
	default_comments["5/2"] = string.format("'''Semihard %s'''", mos_as_string)
	default_comments["3/1"] = string.format("'''Hard %s'''", mos_as_string)
	default_comments["4/1"] = string.format("'''Superhard %s'''", mos_as_string)
	default_comments["1/0"] = string.format("'''Collapsed %s'''", mos_as_string)
	
	-- Append boundary of proper scales to basic comment, if applicable
	-- Monosmall mosses and knL ns mosses are always proper, but all other mosses
	-- are proper if the step ratio is within the soft-of-basic range
	if periods < small_steps then
		default_comments["2/1"] = default_comments["2/1"] .. "<br />Scales with tunings softer than this are proper"
	end
	
	-- Produce table header for the comments
	local comments_header_text = "Comments"
	if small_steps == 1 then
		comments_header_text = comments_header_text .. "<sup><abbr title=\"Every tuning produces a proper scale.\">(always proper)</abbr></sup>"
	elseif small_steps == periods and periods > 1 then
		comments_header_text = comments_header_text .. "<sup><abbr title=\"Every true-mos tuning produces a proper scale.\">(always proper)</abbr></sup>"
	end
	
	-- Table headers
	-- There are 6 columns:
	-- - Steps of ED
	-- - Bright and dark gens in cents
	-- - Step ratio and hardness
	-- - Comments
	local result = "{| class=\"wikitable center-all\"\n"
		.. "|+ style=\"font-size: 105%; white-space: nowrap;\" | " .. string.format("Scale tree and tuning spectrum of %s\n", mos_as_string)
		.. "|-\n"
		.. string.format("! rowspan=\"2\" colspan=\"%d\" | Generator<sup><abbr title=\"In steps of %s.\">(%s)</abbr></sup>\n", deepest + 1, et_suffix, et_suffix)
		.. "! colspan=\"2\" | Cents\n"
		.. "! colspan=\"2\" | Step ratio\n"
		.. "! rowspan=\"2\" | " .. comments_header_text .. "\n"
		.. "|-\n"
		.. "! Bright\n"
		.. "! Dark\n"
		.. "! L:s\n"
		.. "! Hardness\n"

	-- Rounding is done using string.format, to 3 decimal places (%.3f)
	
	-- Create each row of the table
	for i = 1, #step_ratios do
		local step_ratio = step_ratios[i]
		local et_as_string = mos.et_string(input_mos, step_ratio)
		
		-- Calculate the bright gen and cent value
		local bright_generator_steps = mos.bright_gen_to_et_steps(input_mos, step_ratio)
		local bright_generator_cents = mos.bright_gen_to_cents(input_mos, step_ratio)
		local bright_generator_string = mos.bright_gen_to_et_string(input_mos, step_ratio, "")
		
		-- Calculate dark generator step count and cent value
		local dark_generator_steps = mos.dark_gen_to_et_steps(input_mos, step_ratio)
		local dark_generator_cents = mos.dark_gen_to_cents(input_mos, step_ratio)
		
		-- New row
		result = result .. "|-\n"	
		
		-- Cells for bright generator, as steps in et
		local current_depth = depths[i] + 1
		for i = 1, depth + 1 do
			result = result .. "| "
			if i == current_depth then
				result = result .. string.format("[[%s|%s]]", et_as_string, bright_generator_string)
			end
			result = result .. "\n"
		end
		
		-- Cells for generators in cents
		result = result .. string.format("| %.3f\n", bright_generator_cents)
		result = result .. string.format("| %.3f\n", dark_generator_cents)
		
		-- Cell for step ratio
		result = result .. string.format("| %d:%d\n", step_ratio[1], step_ratio[2])
		
		-- Cell for hardness, with divide-by-zero check
		local hardness = ""
		if step_ratio[2] == 0 then
			hardness = "&rarr;&nbsp;&#8734;"
		else
			hardness = string.format("%.3f", step_ratio[1] / step_ratio[2])
		end
		result = result .. string.format("| %s\n", hardness)
		
		-- Cell for comment
		-- Default comments are on their own line before custom comments
		local key = step_ratios[i][1] .. "/" .. step_ratios[i][2]		-- The step ratio is (literally and figuratively) the key to add comments!
		local comment = ""
		local default_comment = default_comments[key] or ""
		local custom_comment = comments[key] or ""
		if default_comment == "" then
			comment = custom_comment
		else
			comment = default_comment .. "<br />" .. custom_comment
		end
		result = result .. string.format("| style=\"text-align: left;\" | %s\n", comment)
		
	end
	
	result = result .. "|}"
	return result
end

-- Wrapper function; to be called by template; preprocesses args
-- Unprocessed args:
-- - Scale Signature (textual scalesig)
-- - Depth (how deep to search for mediants)
-- - Int Limit (if present, overrides depth-based search for int-limit search)
-- - X/Y (comments for individual step ratios)
-- - First/Last Step Ratio (initial ratios for mediant search; default is
--   1/1 and 1/0 respectively)
-- Processed args:
-- - Input MOS (processed from textual scalesig)
-- - Step Ratios (table of step ratios found)
-- - Depths (table of how deep each step ratio was found at)
-- - Comments (step ratio comments placed in their own table)
function p.mos_tuning_spectrum(frame)
	local args = getArgs(frame)
	
	-- Parse scalesig as input mos, then remove scalesig
	local input_mos = mos.parse(args["Scale Signature"])
	args["Input MOS"] = input_mos
	args["Scale Signature"] = nil
	
	-- Parse initial ratios
	local first_ratio = args["First Step Ratio"] or {1,1}
	local last_ratio  = args["Last Step Ratio" ] or {1,0}
	
	-- Then generate mediants and depths
	-- If using depth-based search, parse the depth, then remove it from args
	-- If using int-limit search, parse the int limit, then remove it from args,
	-- and remove depth for good measure
	local step_ratios, depths
	local use_int_limit = args["Int Limit"] ~= nil
	if use_int_limit then
		-- Int-limit search; parse int-limit
		local int_limit = tonumber(args["Int Limit"])
		args["Int Limit"] = nil
		
		-- Find ratios and depths found
		step_ratios, depths = mediants.find_mediants_by_int_limit({first_ratio, last_ratio}, int_limit)
	else 
		-- Depth-based search; parse depth
		local depth = tonumber(args["Depth"]) or 5
		
		-- Find ratios and depths found
		step_ratios, depths = mediants.find_mediants({first_ratio, last_ratio}, depth)
	end
	args["Depth"] = nil
	args["Step Ratios"] = step_ratios
	args["Depths"] = depths
	
	-- Transfer comments from args to comments
	local comments = {}
	for i = 1, #step_ratios do
		local key = step_ratios[i][1] .. "/" .. step_ratios[i][2]
		if args[key] ~= nil then
			comments[key] = args[key]
			args[key] = nil
		end
	end
	args["Comments"] = comments
	
	-- Parse debug option
	local debugg = yesno(args["debug"])
	
	-- Output
	local result = p._mos_tuning_spectrum(args)
	if debugg == true then
		result = "<syntaxhighlight lang=\"wikitext\">" .. result .. "</syntaxhighlight>"
	end
	
	return frame:preprocess(result)
end

function p.tester()
	local args = {}
	return p._mos_tuning_spectrum(args)
end

return p