Module:Sharpness documentation

---

Documentation transcluded from /doc

This module is used for Template:Sharpness documentation to automate information for sharpness templates (templates that show how many steps sharps or flats raise or lower by).

---

local p = {}

function p.main(frame)
	local page_name = string.lower(frame:preprocess("{{PAGENAME}}"))
	local d, b = page_name:match("%-(%a*)(%d+)")
	local s = tonumber(b)
	local sc = s * 12
	local note = frame.args["note"] or ""
	local notation = frame.args["notation"]
	local out_str = "This template is used "
	
	if (d == "flat") then
		s = -s
	end
	
	if s == 0 then
		out_str = out_str
			.. "for [[7edo|7]], [[14edo|14]], [[21edo|21]], [[28edo|28]], and [[35edo|35]] [[EDO|equal divisions of the octave]]. Since these tunings temper out the Pythagorean apotome ([[2187/2048]]), the traditional sharps and flats have no effect on the pitch."
	else
		out_str = out_str
			.. "where a sharp " .. ((s < 0) and {"lowers"} or {"raises"})[1] .. " by " .. math.abs(s) .. " step"
			
		if math.abs(s) ~= 1 then
			out_str = out_str .. "s"
		end
		
		out_str = out_str .. "."
		
		if notation == "" then
			if s >= 3 then
				out_str = out_str .. " It is based on [[ups and downs notation]] notated using [[Helmholtz&ndash;Ellis]]"
				
				if s % 2 == 0 then
					out_str = out_str .. " and [[24edo#Notation|quarter tone]]"
				end
				
				out_str = out_str .. " accidentals."
			end
		else
			out_str = out_str .. " It is based on " .. notation .. "."
		end
		
		if note then
			out_str = out_str .. " " .. note
		end
		
		if s >= 1 then
			out_str = out_str
				.. "\n\n=== Parameters ===\n"
				.. "Passing <code>&#124;"
				.. sc
				.. "</code> will change '''Step Offset''' to '''Semitones''' in the case of [["
				.. sc .. "edo]]"
				.. ((s >= 2) and {", since " .. sc .. "edo is a direct extension of [[12edo|12-tone equal temperament]]."} or {"."})[1]
		end
		
		if s >= 3 then
			out_str = out_str
				.. "\n\n=== See also ===\n"
				.. "* [[Alternative symbols for ups and downs notation]]"
		end
	end
	
	return out_str
end

return p