Module:MOS tunings
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Documentation transcluded from /doc
Note: Do not invoke this module directly; use the corresponding template instead: Template:MOS tunings.
Documentation transcluded from /doc
Note: Do not invoke this module directly; use the corresponding template instead: Template:MOS tunings.
 |
Todo: Documentation |
local mos = require("Module:MOS")
local tamnams = require("Module:TAMNAMS")
local et = require("Module:ET")
local yesno = require("Module:Yesno")
local tip = require("Module:Template input parse")
local jira = require("Module:JI ratios")
local p = {}
-- Rewritten/simplified module replacement for Module:MOS degrees
-- A new template is chosen because it's a better name than the old one and is
-- far easier to maintain than the old one.
-- TODO:
-- - Diatonic interval category lookup?
-- Helper function
-- Capitalizes the first character of a string
function p.capitalize_first(text)
return string.upper(string.sub(text, 1, 1)) .. string.sub(text, 2, -1)
end
-- Helper function
-- Sorts step ratios L:s by their hardnesses
function p.sort_step_ratios(step_ratios)
if #step_ratios < 2 then
return step_ratios
end
-- Sort using selection sort, which is ok for smol datasets.
for i = 1, #step_ratios - 1 do
local index_of_smallest = i
local current_val = step_ratios[i][1] / step_ratios[i][2]
-- Find the ratio with the smallest hardness
for j = i + 1, #step_ratios do
if (step_ratios[j][1] / step_ratios[j][2] < current_val) then
index_of_smallest = j
end
end
if index_of_smallest ~= i then
local temp = step_ratios[index_of_smallest]
step_ratios[index_of_smallest] = step_ratios[i]
step_ratios[i] = temp
end
end
return step_ratios
end
-- Helper function
-- Finds the step ratio range and sorts step ratios
function p.preprocess_step_ratios(step_ratios)
local step_ratios = p.sort_step_ratios(step_ratios)
local step_ratio_range = ""
-- If the step ratios are 3/2, 2/1, and 3/1 in that order, then they are
-- the simple step ratios: basic, hard, and soft.
-- These should not be sorted, since the basic-hard-soft sorting is a little
-- more intuitive than sorting by hardness.
if #step_ratios == 3 then
if step_ratios[1][1] == 3 and step_ratios[1][2] == 2
and step_ratios[2][1] == 2 and step_ratios[2][2] == 1
and step_ratios[3][1] == 3 and step_ratios[3][2] == 1 then
return "Simple Tunings", {{2, 1}, {3, 1}, {3, 2}}
end
end
-- If there are multiple step ratios, find the step ratio range it
-- corresponds to. If there is one step ratio, find the name of that
-- hardness. If there are zero step ratios, then return "Tunings"
if #step_ratios > 1 then
local lower_ratio = step_ratios[1]
local upper_ratio = step_ratios[#step_ratios]
step_ratio_range = tamnams.find_step_ratio_range_for_ratio_pair(lower_ratio, upper_ratio)
if step_ratio_range ~= nil then
step_ratio_range = p.capitalize_first(step_ratio_range) .. " Tunings"
else
step_ratio_range = "Tunings"
end
elseif #step_ratios == 1 then
step_ratio_range = tamnams.lookup_step_ratio(step_ratios[1])
if step_ratio_range ~= nil then
step_ratio_range = p.capitalize_first(step_ratio_range) .. " Tuning"
else
step_ratio_range = string.format("%s/%s", step_ratios[1][1], step_ratios[1][2]) .. " Tuning"
end
else
step_ratio_range = "Tunings"
end
return step_ratio_range, step_ratios
end
-- Preprocess step ratios
function p.preprocess_ji_ratios(input_mos, modal_union, step_ratios, ji_ratios, tolerance)
-- Calculate the avegrage step ratio
local avg_step_ratio = {0, 0}
for i = 1, #step_ratios do
avg_step_ratio[1] = avg_step_ratio[1] + step_ratios[i][1]
avg_step_ratio[2] = avg_step_ratio[2] + step_ratios[i][2]
end
avg_step_ratio[1] = avg_step_ratio[1] / #step_ratios
avg_step_ratio[2] = avg_step_ratio[2] / #step_ratios
-- Normalize step ratio to be x:1, accounting for 1:0
if avg_step_ratio[2] ~= 0 then
avg_step_ratio[1] = avg_step_ratio[1] / avg_step_ratio[2]
avg_step_ratio[2] = avg_step_ratio[2] / avg_step_ratio[2]
else
avg_step_ratio[1] = 1
avg_step_ratio[2] = 0
end
-- Calculate the tolerance, the range in which ratios can be accepted +/-
-- from an et-step. (ET may be a non-integer value, since the L:s ratio is
-- normalized to x:1.)
-- Tolerance is how many cents away from an et-step a ratio can be. This is
-- by default 30% of the small step size, and maxes out at 30 cent. Can be
-- overridden with a custom tolerance value.
local steps_in_et = input_mos.nL * avg_step_ratio[1] + input_mos.ns * avg_step_ratio[2]
local tolerance = tolerance or math.min((mos.equave_to_cents(input_mos) / steps_in_et) * 0.30, 30)
-- Calculate the cent values for each interval in the modal union
local cent_values = {}
for i = 1, #modal_union do
table.insert(cent_values, mos.interval_to_cents(modal_union[i], input_mos, avg_step_ratio))
end
local sorted_ratios = jira.sort_by_closeness_to_cent_values(ji_ratios, cent_values, tolerance)
return sorted_ratios
end
-- Main function
function p._mos_tunings(input_mos, mos_prefix, mos_abbrev, step_ratios, ji_ratios, tolerance, footnotes, is_collapsed)
local input_mos = input_mos or mos.new(5,2)
local mos_prefix = mos_prefix or "mos"
local mos_abbrev = mos_abbrev or "m"
local step_ratios = step_ratios or {{2, 1}, {3, 1}, {3, 2}}
local ji_ratios = ji_ratios or {}
local tolerance = tolerance or nil
local is_collapsed = is_collapsed == true
local footnotes = footnotes or "(footnotes here)"
-- Scalesig
local scale_sig = mos.as_string(input_mos)
-- Sort/preprocess step ratios
local step_ratio_range = ""
step_ratio_range, step_ratios = p.preprocess_step_ratios(step_ratios)
-- Preprocess JI ratios
local modal_union = mos.modal_union(input_mos)
local sorted_ji_ratios, search_info = p.preprocess_ji_ratios(input_mos, modal_union, step_ratios, ji_ratios, tolerance)
-- Create table
local result = "{| class=\"wikitable sortable right-all left-1 left-2 mw-collapsible" .. (is_collapsed and " mw-collapsed\"\n" or "\"\n")
-- Table caption
result = result .. "|+ style=\"font-size: 105%; white-space: nowrap;\" | " .. string.format("%s of %s\n", step_ratio_range, scale_sig)
-- First row of headers
-- First two headers span two rows
result = result .. "! rowspan=\"2\" class=\"unsortable\" | Scale degree\n"
result = result .. "! rowspan=\"2\" class=\"unsortable\" | Abbrev.\n"
-- Headers for tunings; these span two cols
for i = 1, #step_ratios do
local step_ratio_as_text = tamnams.lookup_step_ratio(step_ratios[i])
if step_ratio_as_text == nil then
step_ratio_as_text = string.format("%s:%s", step_ratios[i][1], step_ratios[i][2])
else
step_ratio_as_text = p.capitalize_first(step_ratio_as_text) .. string.format(" (%s:%s)", step_ratios[i][1], step_ratios[i][2])
end
local et_as_string = et.as_string(mos.mos_to_et(input_mos, step_ratios[i]))
local header_text = string.format("%s<br />[[%s]]", step_ratio_as_text, et_as_string)
result = result .. string.format("! colspan=\"2\" | %s\n", header_text)
end
-- Headers for JI ratios; this spans two rows
if #ji_ratios ~= 0 then
result = result .. "! rowspan=\"2\" class=\"unsortable\" | Approx. ratios*\n"
end
result = result .. "|-\n"
-- Second row of headers
for i = 1, #step_ratios do
result = result .. "! style=\"border-right: none;\" class=\"unsortable\" | Steps\n"
result = result .. "! style=\"border-left: none; text-align: right;\" | ¢\n"
end
-- Add a row for each scale degree
for i = 1, #modal_union do
local interval = modal_union[i]
-- Add cells for the degree names
local degree_name = tamnams.degree_quality(interval, input_mos, "sentence-case", mos_prefix)
local degree_abbrev = tamnams.degree_quality(interval, input_mos, "abbrev" , mos_abbrev)
result = result
.. "|-\n"
.. string.format("| %s || %s", degree_name, degree_abbrev)
-- Add cells for each interval's tunings
for j = 1, #step_ratios do
local step_ratio = step_ratios[j]
local step_count = mos.interval_to_et_steps(interval, step_ratio)
local cents = mos.interval_to_cents(interval, input_mos, step_ratio)
result = result
.. " "
--.. string.format("|| %s\\%s || %.1f", step_count, input_mos.nL * step_ratio[1] + input_mos.ns * step_ratio[2], cents)
.. string.format("|| style=\"border-right: none;\" | %s\\%s || style=\"border-left: none;\" | %.1f", step_count, input_mos.nL * step_ratio[1] + input_mos.ns * step_ratio[2], cents)
end
-- Add cells for JI ratios
if #ji_ratios ~= 0 then
-- Ratios link to their respective pages, and are comma-delimited.
local ratios_as_text = jira.ratios_as_string(sorted_ji_ratios[i], true, ", ")
result = result .. "|| style=\"text-align: left;\" | " .. string.format("%s", ratios_as_text)
end
result = result .. "\n"
end
-- End of table, plus footnotes
result = result .. "|}\n"
if #ji_ratios ~= 0 then
result = result .. string.format("<span style=\"font-size: 0.75em;\">* %s</span>", footnotes)
end
return result
end
-- Parse step ratios passed into template
-- If the unparsed string is blank, default to the simple tunings.
-- If the unparsed string is any of the step ratio range names, list the named
-- ratios that fall within that range.
-- if the unparsed string is blank, don't show any ratios.
-- If the ratios is a list, parse it.
function p.parse_step_ratios(unparsed)
local parsed = {}
local lookup_table = {
["Central Spectrum"] = {{4, 3}, {3, 2}, {5, 3}, {2, 1}, {5, 2}, {3, 1}, {4, 1}},
["Simple Tunings"] = {{2, 1}, {3, 1}, {3, 2}},
["Soft-of-basic"] = {{4, 3}, {3, 2}, {2, 1}},
["Ultrasoft"] = {{6, 5}, {5, 4}, {4, 3}},
["Parasoft"] = {{4, 3}, {7, 5}, {3, 2}},
["Quasisoft"] = {{3, 2}, {8, 5}, {5, 3}},
["Minisoft"] = {{5, 3}, {7, 4}, {2, 1}},
["Hyposoft"] = {{3, 2}, {5, 3}, {2, 1}},
["Hypohard"] = {{2, 1}, {5, 2}, {3, 1}},
["Minihard"] = {{2, 1}, {7, 3}, {5, 2}},
["Quasihard"] = {{5, 2}, {8, 3}, {3, 1}},
["Parahard"] = {{3, 1}, {7, 2}, {4, 1}},
["Ultrahard"] = {{4, 1}, {5, 1}, {6, 1}},
["Hard-of-basic"] = {{2, 1}, {3, 1}, {4, 1}},
}
if unparsed == "" then
parsed = lookup_table["Simple Tunings"]
elseif unparsed == "NONE" then
parsed = {}
else
parsed = lookup_table[unparsed] or tip.parse_numeric_pairs(unparsed)
end
return parsed
end
-- Parse JI ratios passed into template
-- If the unparsed string corresponds to a list of JI ratios ("a/b; c/d; e/f"),
-- then parse it as a list of ratios. If it's not that, parse it as search
-- args. If the text is "NONE", then there should be no ratios passed in.
-- If the unparsed string is an empty string, return nil. (This is so the
-- wrapper function can go by default search args.)
function p.parse_ji_ratios(unparsed, equave)
local ratios = nil
local search_args = nil
if unparsed == "" then
search_args = {["Int Limit"] = 50, ["Tenney Height"] = 8; ["Complements Only"] = true} -- Defualt search args if no args were passed in
ratios = jira.search_by_args_within_equave(equave, search_args)
elseif unparsed == "NONE" then
search_args = {}
ratios = {}
elseif string.match(unparsed, "Int Limit:") then
search_args = jira.parse_search_args(unparsed) -- Search requires at the absolute least an int limit, so see if there's "Int Limit"
ratios = jira.search_by_args_within_equave(equave, search_args)
else
search_args = {}
ratios = jira.parse_ratios(unparsed)
end
return ratios, jira.search_footnotes(search_args)
end
-- Wrapper function; to be called by template
function p.mos_tunings(frame)
-- Get params
local scalesig = frame.args["Scale Signature"]
local input_mos = mos.parse(scalesig)
local mos_prefix = tamnams.verify_prefix(input_mos, frame.args["MOS Prefix"])
local mos_abbrev = tamnams.verify_abbrev(input_mos, frame.args["MOS Abbrev"])
local is_collapsed = yesno(frame.args["Collapsed"], false)
local step_ratios = p.parse_step_ratios(frame.args["Step Ratios"])
local tolerance = tonumber(frame.args["Tolerance"])
local ji_ratios, footnotes = p.parse_ji_ratios(frame.args["JI Ratios"], input_mos.equave)
return p._mos_tunings(input_mos, mos_prefix, mos_abbrev, step_ratios, ji_ratios, tolerance, footnotes, is_collapsed)
end
function p.tester()
local range, ratios = p.preprocess_step_ratios({{7, 1}, {3, 1}, {2, 1}})
local input_mos = mos.parse("9L 4s<7/2>")
--return p.preprocess_ji_ratios(input_mos, mos.modal_union(input_mos), {{2,1}, {3,2}, {5,3}}, ji_ratios)
--return ji_ratios
return p._mos_tunings(input_mos)
end
return p