Module:Diatonic
From Xenharmonic Reference
Documentation for this module may be created at Module:Diatonic/doc
local yesno = require("Module:Yesno")
local p = {}
function p.qualityAsName(fifthspan, oct)
quality = "minor"
if(fifthspan>0) then
quality = "major" end
if(fifthspan<2 and fifthspan>-2) then
quality = "perfect"
end
if(fifthspan>5) then
quality = "augmented"
end
if(fifthspan>12) then
quality = "double augmented" end
if(fifthspan>19) then
quality = "triple augmented" end
if(fifthspan<-5) then
quality = "diminished" end
if(fifthspan<-12) then
quality = "double diminished" end
if(fifthspan<-19) then
quality = "triple diminished" end
return quality
end
function p.qualityAsLetter(fifthspan, oct)
quality = "m"
if(fifthspan>0) then
quality = "M" end
if(fifthspan<2 and fifthspan>-2) then
quality = "P"
end
if(fifthspan>5) then
quality = "A"
end
if(fifthspan>12) then
quality = "AA" end
if(fifthspan>19) then
quality = "3A" end
if(fifthspan<-5) then
quality = "d" end
if(fifthspan<-12) then
quality = "dd" end
if(fifthspan<-19) then
quality = "3d" end
return quality
end
function p.degreeAsName(fifthspan,oct)
degree = "unison"
if((yesno(oct) and fifthspan == 0) or fifthspan < 0) then
degree = "octave"
end
if(math.fmod(fifthspan,7) == 1) then
degree = "fifth"
end
if(math.fmod(fifthspan,7) == 2) then
degree = "second"
end
if(math.fmod(fifthspan,7) == 3) then
degree = "sixth"
end
if(math.fmod(fifthspan,7) == 4) then
degree = "third"
end
if(math.fmod(fifthspan,7) == 5) then
degree = "seventh"
end
if(math.fmod(fifthspan,7) == 6) then
degree = "fourth"
end
return degree
end
function p.degreeAsNumber(fifthspan,oct)
degree = 1
if((yesno(oct) and fifthspan == 0) or fifthspan < 0) then
degree = 8
end
if(math.fmod(fifthspan,7) == 1) then
degree = 5
end
if(math.fmod(fifthspan,7) == 2) then
degree = 2
end
if(math.fmod(fifthspan,7) == 3) then
degree = 6
end
if(math.fmod(fifthspan,7) == 4) then
degree = 3
end
if(math.fmod(fifthspan,7) == 5) then
degree = 7
end
if(math.fmod(fifthspan,7) == 6) then
degree = 4
end
return degree
end
function p.enharmonic(fifthspan)
if((yesno(oct) and fifthspan == 0) or fifthspan < 0) then
return (fifthspan+12)
end
return(fifthspan-12)
end
print(p.qualityAsName(4,0) .. p.degreeAsName(4,0))
