Inthar at 01:04, 1 March 2026

2026-03-01T01:04:50Z

← Older revision		Revision as of 01:04, 1 March 2026
Line 184:		Line 184:
	"Subgroups",		"Subgroups",
	subgroup		subgroup
	})

	~~table.insert(data, {~~
	~~"Comma basis",~~
	~~basis~~
	})		})

Line 214:		Line 209:
	"Ploidacot",		"Ploidacot",
	ploidacot		ploidacot
			})

			table.insert(data, {
			"Comma basis",
			basis
	})		})

Inthar: Created page with "local p = {} local infobox = require("Module:Infobox") local u = require("Module:Utils") local yesno = require("Module:Yesno") function p.infobox_RT(frame) local name = frame.args["tempname"] local subgroup = frame.args["subgroup"] local basis = frame.args["commas"] local et1 = frame.args["edo_first"] local et2 = frame.args["edo_second"] local et3 = frame.args["edo_third"] local et4 = frame.args["edo_fourth"] local tuning = frame.args["tuning"] local g..."

2026-02-24T20:51:35Z

Created page with "local p = {} local infobox = require("Module:Infobox") local u = require("Module:Utils") local yesno = require("Module:Yesno") function p.infobox_RT(frame) local name = frame.args["tempname"] local subgroup = frame.args["subgroup"] local basis = frame.args["commas"] local et1 = frame.args["edo_first"] local et2 = frame.args["edo_second"] local et3 = frame.args["edo_third"] local et4 = frame.args["edo_fourth"] local tuning = frame.args["tuning"] local g..."

New page

local p = {}

local infobox = require("Module:Infobox")
local u = require("Module:Utils")
local yesno = require("Module:Yesno")

function p.infobox_RT(frame)

local name = frame.args["tempname"]

local subgroup = frame.args["subgroup"]
local basis = frame.args["commas"]

local et1 = frame.args["edo_first"]
local et2 = frame.args["edo_second"]
local et3 = frame.args["edo_third"]
local et4 = frame.args["edo_fourth"]

local tuning = frame.args["tuning"]
local genfrac = frame.args["genfrac"]
local method = frame.args["method"]
local mapping = frame.args["mapping"]

local mos_override = frame.args["mosses"]
local ploidacot_override = frame.args["ploidacot"]
local colorname = frame.args["colorname"]
local pergen = frame.args["pergen"]

local limit1 = frame.args["lim1"]
local comp1 = frame.args["comp1"]
local acc1 = frame.args["acc1"]
local limit2 = frame.args["lim2"]
local comp2 = frame.args["comp2"]
local acc2 = frame.args["acc2"]
local debugg = frame.args["debug"]

local data = {}

-- process mapping
local rank = p.count_matches(mapping, ";") + 1
local period = string.match(mapping, "(-?%d+);")
local genchain_mapping = {}
for str in mapping:gmatch("(-?%d+)") do
table.insert(genchain_mapping, str)
end

-- interpret subgroup
local subgroup_basis = {}
for str in subgroup:gmatch("(%d+/?%d*)") do
table.insert(subgroup_basis, str)
end

local equave = u.eval_num_arg(subgroup_basis[1])

-- process et join
function process_et_join(et)
local et_eq, et_num = p.warts2ed(et)
local et_eq_letter = p.equave2letter (et_eq)
return "[[" .. et_num .. "ed" .. et_eq_letter .. "|" .. et .. "]]"
end

local et_table = {}
for _, et in ipairs({et1, et2, et3, et4}) do
if u.value_provided(et) then
table.insert(et_table, process_et_join (et))
end
end
local et_join = table.concat(et_table, " & ")

-- process generators
function process_generators(genfrac_item, tuning_item)
return "~" .. genfrac_item .. " = " .. tuning_item .. "{{c}}"
end

local genfrac_table = {}
for str in genfrac:gmatch("(%d+/?%d*)") do
table.insert(genfrac_table, str)
end
local tuning_table = {}
for str in tuning:gmatch("(-?%d+%.?%d*)") do
table.insert(tuning_table, str)
end
local generators_table = {}
for i = 1, math.min(#genfrac_table, #tuning_table) do
table.insert(generators_table,
process_generators (genfrac_table[i], tuning_table[i]))
end
local generators = table.concat (generators_table, ", ")

-- default value for mos
local mos = "n/a"

-- autocalculating ploidacot
if rank == 2 then
local ploid = tonumber(period)
local referent = u.eval_num_arg(subgroup_basis[2])
local cot = tonumber(genchain_mapping[2])
local suffix = "cleft"
if equave == 2 then -- octave-based temp
if referent == 3 then
suffix = "cot"
elseif referent == 5 then
suffix = "seph"
end
elseif equave == 3 then -- twelfth-based temp
if referent == 5 then
referent_candidate = u.eval_num_arg(subgroup_basis[3])
if referent_candidate == 7 then
referent = referent_candidate
cot = tonumber(genchain_mapping[3])
suffix = "gem"
end
end
end

if suffix == "cleft" then
suffix = referent .. suffix
end

local equave_size = 1200 * u.log2(equave)
local referent_size = 1200 * u.log2(referent)
local period_size = equave_size / ploid
local generator_size = tonumber(tuning_table[1])
if cot < 0 then
generator_size = equave_size - generator_size
cot = -cot
end

-- find the shear
local shear
if cot ~= 0 then
shear = (math.floor(generator_size * cot / period_size)
- math.floor(referent_size % equave_size / period_size)) % cot
else
shear = 0
end

-- omega extension
if ploid == 1 and cot > 2 and shear == cot - ploid then
shear = shear - cot
end

-- construct the ploidacot signature
local MAX_GREEK_NUMERAL = 12 -- max number to convert to greek letters/numerals

local ploid_sig
if ploid == 1 then
ploid_sig = "" -- omit the ploid part
elseif ploid <= MAX_GREEK_NUMERAL then
ploid_sig = p.num2greek(tostring(ploid), "ploid") .. "ploid "
else
ploid_sig = tostring (ploid) .. "-ploid "
end

local shear_sig
if shear <= MAX_GREEK_NUMERAL then
shear_sig = p.num2greeklet(tostring(shear))
else
shear_sig = tostring(shear) .. "-sheared "
end

local cot_sig
if cot <= MAX_GREEK_NUMERAL then
cot_sig = p.num2greek(tostring(cot), "cot") .. suffix
else
cot_sig = tostring(cot) .. "-" .. suffix
end

ploidacot = ploid_sig .. shear_sig .. cot_sig
else
ploidacot = "n/a"
end

-- user override
if u.value_provided (mos_override) then
mos = mos_override
end
if u.value_provided (ploidacot_override) then
ploidacot = ploidacot_override
end

-- construct the table
table.insert(data, {
"Subgroups",
subgroup
})

table.insert(data, {
"Comma basis",
basis
})

table.insert(data, {
"Reduced mapping",
"⟨" .. mapping .. "]"
})

table.insert(data, {
"ET join",
et_join
})

table.insert(data, {
"Generators ([[" .. method .. "]])",
generators
})

table.insert(data, {
"MOS scales",
mos
})

table.insert(data, {
"Ploidacot",
ploidacot
})

if u.value_provided (pergen) then
table.insert(data, {
"Pergen",
pergen
})
end

if u.value_provided (colorname) then
table.insert(data, {
"Color name",
colorname
})
end

-- error and stuff
local limit_text
if equave == 2 then
limit_text = "-odd-limit"
elseif equave == 3 then
limit_text = "-throdd-limit"
else
limit_text = "-integer-limit"
end
local string1 = limit1 .. limit_text .. ": " .. acc1 .. "{{c}}"
local string2 = limit1 .. limit_text .. ": " .. comp1 .. " notes"
if u.value_provided (limit2) then
string1 = string1 .. "; <br>" .. limit2 .. limit_text .. ": " .. acc2 .. "{{c}}"
string2 = string2 .. "; <br>" .. limit2 .. limit_text .. ": " .. comp2 .. " notes"
end

table.insert(data, {
"Minimax error",
string1
})

table.insert(data, {
"Target scale size",
string2
})

local result = infobox.build(
name,
data
)

return frame:preprocess(debugg == true and "<pre>" .. result .. "</pre>" or result)
end

function p.count_matches(base, pattern)
return select(2, string.gsub(base, pattern, ""))
end

function p.digit2greek(number, purpose)

local greek

if number == "1" then
if purpose == "ploid" then
greek = "ha"
elseif purpose == "cot" then
greek = "mono"
elseif purpose == "decade" then
greek = "deca"
else
greek = "hen"
end
elseif number == "2" then
if purpose == "decade" then
greek = "icosa"
elseif purpose == "unit" then
greek = "do"
else
greek = "di"
end
elseif number == "0" then
if purpose == "unit" then
greek = ""
else
greek = "a"
end
else
if number == "3" then
if purpose == "decade" then
greek = "tria"
else
greek = "tri"
end
elseif number == "4" then
if purpose == "decade" then
greek = "tessera"
else
greek = "tetra"
end
elseif number == "5" then
if purpose == "decade" then
greek = "pente"
else
greek = "penta"
end
elseif number == "6" then
if purpose == "decade" then
greek = "hexe"
else
greek = "hexa"
end
elseif number == "7" then
if purpose == "decade" then
greek = "hebdome"
else
greek = "hepta"
end
elseif number == "8" then
if purpose == "decade" then
greek = "ogdoe"
elseif purpose == "unit" then
greek = "octo"
else
greek = "octa"
end
elseif number == "9" then
if purpose == "decade" then
greek = "enene"
else
greek = "ennea"
end
end
if purpose == "decade" then
greek = greek .. "conta"
end
end

return greek
end

function p.num2greek(number, purpose)

local greek

if string.len(number) == 1 then
greek = p.digit2greek(number, purpose)
elseif string.len(number) == 2 then
local unit = string.char(string.byte(number, 2))
local decade = string.char(string.byte(number, 1))

greek = p.digit2greek(unit, "unit") .. p.digit2greek(decade, "decade")
end
return greek
end

function p.digit2greeklet(number, purpose)

local greek

if number == "1" then
if purpose == "decade" then
greek = "iota-"
elseif purpose == "unit" then
greek = "alpha-"
end
elseif number == "2" then
if purpose == "decade" then
greek = "kappa-"
elseif purpose == "unit" then
greek = "beta-"
end
elseif number == "3" then
if purpose == "decade" then
greek = "lambda-"
elseif purpose == "unit" then
greek = "gamma-"
end
elseif number == "4" then
if purpose == "decade" then
greek = "mu-"
elseif purpose == "unit" then
greek = "delta-"
end
elseif number == "5" then
if purpose == "decade" then
greek = "nu-"
elseif purpose == "unit" then
greek = "epsilon-"
end
elseif number == "6" then
if purpose == "decade" then
greek = "xi-"
elseif purpose == "unit" then
greek = "wau-"
end
elseif number == "7" then
if purpose == "decade" then
greek = "omicron-"
elseif purpose == "unit" then
greek = "zeta-"
end
elseif number == "8" then
if purpose == "decade" then
greek = "pi-"
elseif purpose == "unit" then
greek = "eta-"
end
elseif number == "9" then
if purpose == "decade" then
greek = "qoppa-"
elseif purpose == "unit" then
greek = "theta-"
end
elseif number == "0" then
greek = ""
elseif number == "-1" then
greek = "omega-"
end

return greek
end

function p.num2greeklet(number)

local greek

if string.len(string.match(number, "(%d+)")) == 1 then
greek = p.digit2greeklet(number, "unit")
elseif string.len(string.match(number, "(%d+)")) == 2 then
local unit = string.char(string.byte(number, 2))
local decade = string.char(string.byte(number, 1))

greek = p.digit2greeklet(decade, "decade") .. p.digit2greeklet(unit, "unit")
end
return greek
end

function p.equave2letter(et_eq)
-- converts an equave string to a letter
local et_eq_letter
if et_eq == "2" then
et_eq_letter = "o"
elseif et_eq == "3" then
et_eq_letter = "t"
elseif et_eq == "3/2" then
et_eq_letter = "f"
else
et_eq_letter = eq
end
return et_eq_letter
end

function p.warts2ed(warts)
-- converts a wart notation to an equal division
local wart_prefix, et_num = warts:match ("(%a?)(%d+)")
local et_eq = "2"
if wart_prefix == "a" then
et_eq = "2"
elseif wart_prefix == "b" then
et_eq = "3"
elseif wart_prefix == "c" then
et_eq = "5"
elseif wart_prefix == "d" then
et_eq = "7"
elseif wart_prefix == "e" then
et_eq = "11"
elseif wart_prefix == "f" then
et_eq = "13"
elseif wart_prefix == "g" then
et_eq = "17"
elseif wart_prefix == "h" then
et_eq = "19"
elseif wart_prefix == "i" then
et_eq = "23"
end
return et_eq, et_num
end

return p

Module:Infobox regtemp - Revision history

Inthar at 01:04, 1 March 2026