Module:Powharmonic series

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This module should not be invoked directly; use its corresponding template instead: Template:Powharmonic series.

This module generates a table showing the intervals of a powharmonic series for a given exponent, which is used to model timbres involving stretched or compressed harmonics.

Introspection summary for Module:Powharmonic series
Functions provided (1) Line Function Params 3 powharmonic (invokable) (frame)	Lua modules required (0) Variable Module Functions used

No function descriptions were provided. The Lua code may have further information.

---

local p = {}

function p.powharmonic(frame)
    local n = tonumber(frame.args["n"])
    local expo = tonumber(frame.args["expo"])
    local out_str = 
    	"{| class=\"wikitable center-all\"\n" ..
	    "|+ Intervals of the " .. expo .. "-Powharmonic series\n" ..
	    "! rowspan=\"2\" | Pitch !! colspan=\"2\" | Frequency multiplier !! colspan=\"3\" | Pitch\n" ..
	    "|-\n" ..
	    "! Definition !! Decimal !! [[Cent]]s !! Change (cents) !! Octave-reduced (cents)\n"
    local fmt_cent = string.format("%%.%df", tonumber(frame.args["prec"]))
    local p_prev = 0
    local p_current = 0

    for i = 1, n do
        p_current = 1200 * math.log(i) / math.log(2) * expo
        out_str = out_str ..
            "|-\n" ..
            "| " .. i ..
            "|| " .. i .. "<sup>" .. expo .. "</sup>" ..
            "|| " .. string.format(fmt_cent, i^expo) ..
            "|| " .. string.format(fmt_cent, p_current) ..
            "|| " .. string.format(fmt_cent, p_current - p_prev) ..
            "|| " .. string.format(fmt_cent, math.fmod(p_current, 1200)) .. "\n"
        p_prev = p_current
    end

    out_str = out_str .. "|}"
    return out_str
end

return p