Module:Ups and downs sharpness

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This module should not be invoked directly; use its corresponding template instead: Template:Ups and downs sharpness.

This module automatically creates a table with the combinations of symbols to notate a given edo using Kite's ups and downs notation.

Introspection summary for Module:Ups and downs sharpness
Functions provided (1) Line Function Params 8 ud_sharpness (invokable) (frame)	Lua modules required (1) Variable Module Functions used utils Module:Utils dependency not used

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

---

local p = {}
local utils = require("Module:Utils")

local function sharp_n(edo) -- calculate amount of steps for sharp/flat
	return (7 * math.floor((edo * math.log(3) / math.log(2)) + 0.5)) - (11 * edo) -- mapping of augmented unison
end

function p.ud_sharpness(frame) -- generate table
	local sharp = sharp_n(frame.args["edo"])
	local tab = "{| class=\"wikitable\"\n"
		.. "|-\n"
		.. "! Step offset\n"
		.. "| '''0'''\n"
	for i = 1, sharp * 2 + 1 do
		if (i % sharp == 0) then
			tab = tab .. "| '''" .. i .. "'''\n"
		else
			tab = tab .. "| " .. i .. "\n"
		end
	end
	tab = tab .. "|-\n! Sharp symbol\n| rowspan=\"2\" | [[File:Heji18.svg|15px]]\n"
	for i = 1, sharp * 2 + 1 do
		local cs = math.ceil((i / sharp) - 0.5)
		tab = tab .. "| <span style=\"display: inline-block; margin-bottom: -45px; transform: translate(0, "
		if cs == 0 then
			tab = tab .. "-2.5px"
		elseif cs == 1 then
			tab = tab .. "-15px"
		elseif cs == 2 then
			tab = tab .. "-20px"
		end
		tab = tab .. "); white-space: nowrap;\">"
		if ((i - (sharp * math.floor(i / sharp))) / sharp) > math.ceil(((i - (sharp * math.floor(i / sharp))) / sharp) - 0.5) then
			if (i - (sharp * math.floor(i / sharp))) % 5 == 4 then
				tab = tab .. "&#x202F;[[File:Down narrow.svg|9px]]&#x202F;[[File:Quip narrow.svg|9px]]"
			else
				for j = 1, (i - (sharp * math.floor(i / sharp))) % 5 do
					tab = tab .. "&#x202F;[[File:Up narrow.svg|9px]]"
				end
			end
			for j = 1, math.floor((i - (sharp * math.floor(i / sharp))) / 5) do
				tab = tab .. "&#x202F;[[File:Quip narrow.svg|9px]]"
			end
		else
			if ((sharp * math.ceil(i / sharp)) - i) % 5 == 4 then
				tab = tab .. "&#x202F;[[File:Up narrow.svg|9px]]&#x202F;[[File:Quid narrow.svg|9px]]"
			else
				for j = 1, ((sharp * math.ceil(i / sharp)) - i) % 5 do
					tab = tab .. "&#x202F;[[File:Down narrow.svg|9px]]"
				end
			end
			for j = 1, math.floor(((sharp * math.ceil(i / sharp)) - i) / 5) do
				tab = tab .. "&#x202F;[[File:Quid narrow.svg|9px]]"
			end
		end
		if cs == 1 then
			tab = tab .. "&#x202F;[[File:Heji25.svg|16px]]"
		elseif cs == 2 then
			tab = tab .. "&#x202F;[[File:Heji32.svg|21px]]"
		end
		tab = tab .. "</span>\n"
	end
	tab = tab .. "|-\n! Flat symbol\n"
	for i = 1, sharp * 2 + 1 do
		local cs = math.ceil((i / sharp) - 0.5)
		tab = tab .. "| <span style=\"display: inline-block; margin-bottom: -45px; transform: translate(0, "
		if cs == 0 then
			tab = tab .. "-2.5px"
		elseif cs == 1 then
			tab = tab .. "-15px"
		elseif cs == 2 then
			tab = tab .. "-20px"
		end
		if ((i - (sharp * math.floor(i / sharp))) / sharp) > math.ceil(((i - (sharp * math.floor(i / sharp))) / sharp) - 0.5) then
			if (i - (sharp * math.floor(i / sharp))) % 5 == 4 then
				tab = tab .. "&#x202F;[[File:Up narrow.svg|9px]]&#x202F;[[File:Quid narrow.svg|9px]]"
			else
				for j = 1, (i - (sharp * math.floor(i / sharp))) % 5 do
					tab = tab .. "&#x202F;[[File:Down narrow.svg|9px]]"
				end
			end
			for j = 1, math.floor((i - (sharp * math.floor(i / sharp))) / 5) do
				tab = tab .. "&#x202F;[[File:Quid narrow.svg|9px]]"
			end
		else
			if ((sharp * math.ceil(i / sharp)) - i) % 5 == 4 then
				tab = tab .. "&#x202F;[[File:Down narrow.svg|9px]]&#x202F;[[File:Quip narrow.svg|9px]]"
			else
				for j = 1, ((sharp * math.ceil(i / sharp)) - i) % 5 do
					tab = tab .. "&#x202F;[[File:Up narrow.svg|9px]]"
				end
			end
			for j = 1, math.floor(((sharp * math.ceil(i / sharp)) - i) / 5) do
				tab = tab .. "&#x202F;[[File:Quip narrow.svg|9px]]"
			end
		end
		if cs == 1 then
			tab = tab .. "&#x202F;[[File:Heji11.svg|16px]]"
		elseif cs == 2 then
			tab = tab .. "&#x202F;[[File:Heji4.svg|27px]]"
		end
		tab = tab .. "</span>\n"
	end
	tab = tab .. "|}"
	return tab
end

return p