Module:MOS in EDO: Difference between revisions

Newer edit →

@@ Line 73: / Line 73: @@
      local next_step_array = {}
+	-- If the small and large step sizes are the same, return nil
      if small_step_size == large_step_size then
-         return next_step_array
+         return nil
      end
@@ Line 144: / Line 145: @@
 -- Primary function
 -- Create a rectangular horogram depicting a mos for a given pair of generators
-function p.edo_mos_step_patterns(edo, gen_in_edosteps, number_of_periods, temperaments)
+function p.edo_mos_step_patterns(edo, gen_in_edosteps, number_of_periods, temperament)
+	local edo = edo or 24
+	local gen_in_edosteps = gen_in_edosteps or 14
+	local number_of_periods = number_of_periods or 1
+	local temperament = temperament or "meantone"
+	-- Check whether the number of periods divides the edo
+	-- If so, the starting scale will be a multiperiod mos
+	local period_in_edosteps = edo
+	local verified_number_of_periods = 1
+	if edo % number_of_periods == 0 then
+		period_in_edosteps = edo / number_of_periods
+		verified_number_of_periods = number_of_periods
+	end
+	-- Calculate whether to include temperament names
+	local show_temperament = temperament ~= ""
+	-- Calculate the generator complement
+	local comp_in_edosteps = period_in_edosteps - gen_in_edosteps
+	-- Are the args for the starting mos valid?
+	-- The number of steps in the generator must be between 1 and the number of steps in the period
+	local starting_mos_valid = gen_in_edosteps > 1 and gen_in_edosteps < period_in_edosteps
+	-- Calculate the starting mos
+	local current_scale = {}
+	for i = 1, number_of_periods do
+		table.insert(current_scale, gen_in_edosteps)
+		table.insert(current_scale, comp_in_edosteps)
+	end
+	local result = string.format('{| class="wikitable"\n')
+	result = result .. string.format('|-\n')
+	result = result .. string.format('! colspan="%i" |Steps for generators %i\\%i and %i\\%i\n', edo, gen_in_edosteps, edo, comp_in_edosteps, edo)
+	result = result .. string.format('!Mos\n')
+	result = result .. string.format('!Step ratio\n')
+	result = result .. string.format('!TAMNAMS name\n')
+	if show_temperament then
+		result = result .. string.format('!Temperament\n')
+	end
+	while current_scale ~= nil and starting_mos_valid do
+		result = result .. string.format('|-\n')
+		for i = 1, #current_scale do
+			local current_step = current_scale[i]
+			if current_step == 1 then
+				result = result .. string.format('| 1\n')
+			else
+				result = result .. string.format('| colspan="%i" | %i\n', current_step, current_step)
+			end
+		end
+		local scale_sig = p.mos_step_pattern_to_scale_sig(current_scale)
+		if #current_scale == (edo / verified_number_of_periods) then
+			result = result .. string.format("| %iedo\n", edo / verified_number_of_periods)
+		else
+			result = result .. string.format("| [[%s]]\n", scale_sig)
+		end
+		local current_step_sizes = p.calculate_step_sizes(current_scale)
+		local step_ratio_gcd = utils._gcd(current_step_sizes["L"], current_step_sizes["s"])
+		result = result .. string.format("| %s:%s\n", current_step_sizes["L"] / step_ratio_gcd, current_step_sizes["s"] / step_ratio_gcd)
+		local tamnams_name = mos.tamnams_name[scale_sig]
+		if tamnams_name ~= nil then
+			result = result .. string.format("| %s\n", tamnams_name)
+		else
+			result = result .. string.format("|\n")
+		end
+		if show_temperament then
+			local current_step_count = #current_scale
+			result = result .. string.format("| %s[%i]\n", temperament, current_step_count)
+		end
+		current_scale = p.calculate_next_mos_step_pattern(current_scale)
+	end
+	result = result .. string.format('|}\n')
+	return result
 end
 return p

Module:MOS in EDO: Difference between revisions

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