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Module:Q-odd-limit intervals: Difference between revisions

Newer edit →
Created page with "bit32 = require( 'bit32' ) local p = {} local PRIME_LIST = {2, 3, 5, 7, 11, 13, 17, 19} local function get_monzo_list (limit) local monzo_list = {} if limit >= 3 then t..."
 
We've noted that relative error is interesting too
Line 153: Line 153:
ratiocomp = string.format ("%d/%d, %d/%d", error_list[i].ratio.num, error_list[i].ratio.den, 2*error_list[i].ratio.den, error_list[i].ratio.num)
ratiocomp = string.format ("%d/%d, %d/%d", error_list[i].ratio.num, error_list[i].ratio.den, 2*error_list[i].ratio.den, error_list[i].ratio.num)
error_abs = string.format ("%.3f", error_list[i].error_abs)
error_abs = string.format ("%.3f", error_list[i].error_abs)
error_rel = string.format ("%.1f", error_list[i].error_rel)
if bit32.band (error_list[i].ratio.den, error_list[i].ratio.den - 1) == 0 and is_in (error_list[i].ratio.num, subgroup) then -- check power of 2 for den and prime for num
if bit32.band (error_list[i].ratio.den, error_list[i].ratio.den - 1) == 0 and is_in (error_list[i].ratio.num, subgroup) then -- check power of 2 for den and prime for num
ratiocomp = "'''" .. ratiocomp .. "'''"
ratiocomp = "'''" .. ratiocomp .. "'''"
error_abs = "'''" .. error_abs .. "'''"
error_abs = "'''" .. error_abs .. "'''"
error_rel = "'''" .. error_rel .. "''"
end if error_list[i].error_rel > 50 then
end if error_list[i].error_rel > 50 then
ratiocomp = "''" .. ratiocomp .. "''"
ratiocomp = "''" .. ratiocomp .. "''"
error_abs = "''" .. error_abs .. "''"
error_abs = "''" .. error_abs .. "''"
error_rel = "''" .. error_rel .. "''"
end
end
t_body[i] = string.format ("|-\n| %s\n| %s", ratiocomp, error_abs)
t_body[i] = string.format ("|-\n| %s\n| %s\n| %s", ratiocomp, error_abs, error_rel)
end
end


Line 168: Line 171:
"! Interval, complement\n" ..
"! Interval, complement\n" ..
"! Error (abs, [[Cent|¢]])\n" ..
"! Error (abs, [[Cent|¢]])\n" ..
"! Error (rel, [[Relative cent|%]]\n" ..
table.concat (t_body, "\n") ..
table.concat (t_body, "\n") ..
"\n|}"
"\n|}"
Line 182: Line 186:
local title = frame.args['title']
local title = frame.args['title']
if title == nil or #title == 0 then
if title == nil or #title == 0 then
title = string.format ("Approximation of %d-odd-limit intervals by patent val mapping", limit)
title = string.format ("%d-odd-limit intervals by patent val mapping", limit)
end
end
local subgroup = table_filter (PRIME_LIST, limit)
local subgroup = table_filter (PRIME_LIST, limit)
Retrieved from "https://en.xen.wiki/w/Module:Q-odd-limit_intervals"