Module:MOS modes

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Note: Do not invoke this module directly; use the corresponding template instead: Template:MOS modes.

This module depends on the following other modules: Module: MOS Module: Rational Module: TAMNAMS Module: Template input parse Module: Utils Module: Yesno

This template is used for mos pages to automatically generate and list that mos's modes, along with the modes' UDP (up-down-period) notation.

---

local mos = require('Module:MOS')
local rat = require('Module:Rational')
local utils = require('Module:Utils')
local tip = require('Module:Template input parse')
local p = {}

-- TODO: collapse table if the number of modes is, say, more than 12

-- "Main" function
-- To be called by wrapper
function p._mos_modes(input_mos, mode_names, headers, entries)
	-- Mos is entered as a scale signature "xL ys" or "xL ys<p/q>" since the mos module can parse that format
	local input_mos = input_mos or mos.parse(scale_sig)
	
	-- Get the mos's mode names, if given
	-- Mode names are entered as a semicolon-delimited list
	local mode_names = mode_names or {}
	
	-- Get the mos's modes and the mode count
	local mos_modes = mos.modes_by_brightness(input_mos)
	local periods = mos.period_count(input_mos)
	local mossteps_per_period = mos.period_step_count(input_mos)

	-- This is for entering multiple columns of info, if a single column of mode names isn't enough
	-- For n headers, the number of entries must match the number of modes times the number of headers
	-- or else column data won't be added
	local headers = headers or {}
	local entries = entries or {}

	-- To determine whether to add additional columns, determine whether the number of entries
	-- and the number of columns are greater than zero, and if so, determine whether the number of entries
	-- is equal to the number of headers times the number of modes
	local add_columns = #headers > 0 and #entries > 0
	if add_columns then
		add_columns = add_columns and #mos_modes * #headers == #entries
	end
	
	-- Get the number of mossteps in the bright gen
	-- Used for calculating rotational order
	local bright_gen = mos.bright_gen(input_mos)
	local mossteps_per_bright_gen = mos.bright_gen_step_count(input_mos)
	
	-- Make a table with a column for the mode (as a string of L's and s's) and UDP
	local result = '{| class="wikitable sortable"\n'
	result = result .. "|+ " .. "Modes of " .. mos.as_string(input_mos) .. "\n"		-- To create the scale signature with〈〉instead of <>
	result = result .. "|-\n"
	result = result .. "! [[UDP]]\n"
	result = result .. "! Rotational order\n"
	result = result .. "! Step pattern\n"
	
	-- If there are mode names (if the mode names array is not nil), then add a column for mode names
	if #mode_names == #mos_modes then
		result = result .. '! class="unsortable" | Mode names\n'
	end
	
	-- Add columns
	-- If mode names and columns are used, mode names come first
	if add_columns then
		for i = 1, #headers do
			result = result .. '! class="unsortable" |'	.. headers[i] .. "\n"
		end
	end
	
	-- Enter each row
	-- As of coding, mos mode listings are fairly inconsistent or nonexistent, but consist of
	-- the UDP, step pattern, and any mode names(s) in some order
	-- This table orders them as UDP, step pattern, and mode names, as that's more common
	for i = 1, #mos_modes do
		result = result .. "|-\n"
		
		-- Add the UDP, formatted as up|dp(p), where u is the number of bright generators going up,
		-- d is the number of bright generators going down, and p is the number of periods
		-- Omit p if p = 1
		local gens_down = (i - 1) * periods
		local gens_up = (#mos_modes - i) * periods
		local udp_as_text = ""
		if periods == 1 then
			udp_as_text = gens_up .. '&#124;' .. gens_down
		else
			udp_as_text = gens_up .. '&#124;' .. gens_down .. "(" .. periods .. ")"
		end
		result = result .. "|" .. udp_as_text .. "\n"
		
		-- Add the mode's rotational order
		local bright_gens_up = mossteps_per_bright_gen * (i-1)
		local rotational_order = bright_gens_up % mossteps_per_period + 1
		result = result .. "|" .. rotational_order .. "\n"

		-- Add the mode's step pattern
		result = result .. "|" .. mos_modes[i] .. "\n"
		
		-- Add the mode's name, if given
		if #mode_names == #mos_modes  then
			result = result .. "|" .. mode_names[i] .. "\n"
		end
		
		-- Add columns if given
		if add_columns then
			for j = 1, #headers do
				local index = (i - 1) * #headers + j
				result = result .. "|" .. entries[index] .. "\n"
			end
		end
	end
	
	result = result .. "|}"
	
	return result
	
end

-- Wrapper function; to be called by template
function p.modes_table(frame)
	-- Mos is entered as a scale signature "xL ys" or "xL ys<p/q>" since the mos module can parse that format
	local scale_sig = frame.args['Scale Signature'] or "5L 2s"
	local input_mos = mos.parse(scale_sig)
	
	-- Get the mos's mode names, if given
	-- Mode names are entered as a semicolon-delimited list
	-- 5L 2s gets default names
	local mode_names = nil
	if scale_sig == "5L 2s" then
		mode_names_unparsed = "Lydian; Ionian (major); Mixolydian; Dorian; Aeolian (minor); Phrygian; Locrian"
		mode_names = p.parse_entries(mode_names_unparsed)
	else
		mode_names_unparsed = frame.args['Mode Names']
		mode_names = tip.parse_entries(mode_names_unparsed)
	end

	-- This is for entering multiple columns of info, if a single column of mode names isn't enough
	-- For n headers, the number of entries must match the number of modes times the number of headers
	-- or else column data won't be added
	local headers_unparsed = frame.args['Table Headers']
	local headers = p.parse_entries(headers_unparsed)
	
	local entries_unparsed = frame.args['Table Entries']
	local entries = p.parse_entries(entries_unparsed)

	local result = p._mos_modes(input_mos, mode_names, headers, entries)
	
	return result
end

return p