-1+11043 
Introduction to Scale Theory with Applications

What is a musical scale? What is a "mode"? How many scales are there and what are they like?

This course presents some notions from pitch class set theory that are useful in thinking about these questions. From the standard ideas in the first session it develops themes related to scale classification that are the subject of current research. As well as presenting theoretical ideas "in the abstract", the course makes practical connections with the real-life musical activities of learning and making music with scales.

The course takes the form of three illustrated video lectures. A thread for questions and discussion pertaining to each lecture will be created in /r/guitarlessons. Additional printed material can be found in the author's books, all of which are available free online.

Lectures
  1. Foundations

    a. Pitch, notes and pitch classes

    b. Definition of a "scale"

    c. The numbering system

    d. Modality

  2. The Space of All Scales

    a. Binary representations of scales

    b. Counting scales

    c. Some classification methods and their applications

  3. Subsets and Supersets

    a. Harmonizations of scales

    b. "Spectral" analysis and its applications

Prerequisites

The course is largely self-contained, since everything is built from the ground up, although if the student knows nothing about music the pace will most likely be too fast. I assume you have some experience of playing a pitched instrument in some Western tradition (classical, pop etc). You need not be a competent player or be able to read music.

A note to music theorists is in order. I've tried to provide a non-rigorous introduction to the subject, not a college-level course. That means I've sometimes allowed myself some hand-waving in the interests of keeping it accessible and moving along at a reasonable pace.

A note is also in order for practical musicians. The course doesn't teach you how to apply specific scales in your chosen style of music. By the end of Session 3, though, I hope it will have given you some useful tools to help you do that.

Syllabus

The difference between a pitch, a note and a pitch class. Octave equivalence. Pitch class numbers. Transposition invariance of scales. Definitions of "scale". Interval maps. Modality and the definition of "mode".

Binary representations of scales. Simple examples of binary operations (inversion and complementation). How many scales are there? Cardinality, interval composition, modality and symmetry as classificatory attributes. Hamming distance and other metrics (mentioned only).

"Harmonization" of a scale at the root position. Some very basic notions from chord-scale theory. Applications of subsets and supersets of scales; generalisation of these ideas.

Additional information

Although "scale theory" is a somewhat marginal topic in the academic world, almost all of the topics covered on the course are standard and have been in the musicological literature for at least forty years. In one or two places I'll present an idea that I believe to be either original or stated in a non-standard way; I'll give an explicit warning when that happens.

Some representative sources for the course are the following. They're a bit of an odd mixture, and most assume a technical background in music theory that this course doesn't. You do not need to buy or read any of these books to follow the course.

These texts represent very different approaches and this course only presents (at most) a few ideas from each, but they might give some idea of where it's "coming from" to students who already know a bit about the subject.

The instructor is primarily a guitarist and anticipates that a majority of students will be as well. Nothing in the course, however, is guitar-specific and players of other instruments are very welcome.

Teacher qualifications

I received my PhD in the philosophy of music in 1997. Since then I've written three books on scale theory, played and composed in various situations and taught guitar regularly. I now teach freelance full-time. Feel free to contact me on reddit.

Latest Update
Intro to Scale Theory session 3 is now available (2013-03-01 21:32:39)

"The third and final lecture in the UReddit Scale Theory course is now available. Sorry for the delay -- I hope you get something useful out of it.

Rich"

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913. adzash
914. STFUandLove
915. i_am_squish
916. Fitzy257
917. DEADBEEFdd
918. bobbibee
919. leonbasin
920. maicorral
921. NihilisticPriest
922. jaxmanation
923. SandBoxKing
924. moondesu
925. cmcmorrow
926. gfunkel
927. raineou
928. dml1989
929. Advils_Devocate
930. teddy16246
931. PanKarol
932. fitofrijolito
933. luxarus
934. BallinDalin
935. Scarlet_honey
936. lifeinpancakes
937. heepster
938. dnptrs
939. Dreadneck22
940. Evangelion92
941. shradha
942. gasquie
943. voidofman
944. bobbydylan.12
945. jowhica
946. senoresteban
947. brentshermana
948. DamnyouMongarians
949. Dusando
950. mattzimel
951. rough_ER
952. futurespacecadet
953. blobmoe
954. aviator1
955. alexwjohnson
956. Anjello
957. Urca
958. anphex
959. cheef_resident
960. bonhasgone
961. gtarjohnson
962. MasonHoberg
963. pipin574
964. MADXT
965. corntastic
966. Shadeslayr
967. E-than8211
968. prncezmimi
969. crastinator
970. bluffles
971. sl4327
972. Reggeatron
973. Bennymoonbase
974. keller452
975. funkshake
976. soniclizard
977. VSVWB
978. jd95
979. Seacrab
980. jonyuhas15
981. conorobrien50
982. Delusi0n
983. losergetsnothing
984. circulo
985. jayashraj
986. redditreporter424
987. daCostaDave
988. christianblough
989. Djmoyer
990. sfg
991. complainerslament
992. Merallak
993. Jamesjkr
994. LarryThreezor
995. conspiracyofqueens
996. iwishiwasryan
997. dergster
998. learning_stuff
999. infaustment
1000. jibicationaire
1001. fariq1mohd
1002. yippohappo
1003. katiewiththeboyds
1004. Lazydude88
1005. braindamage
1006. maagjoel
1007. thephotograph
1008. smk2541
1009. bernardosgr
1010. fotwentylife
1011. Bazzabazza
1012. AliceSAysNo
1013. sssnuff
1014. simha
1015. beachmouse
1016. rvramesh20
1017. drewstoned
1018. Anayansi-Iris
1019. raptor_rapture
1020. tbrown983
1021. gonnadoit
1022. Rebel375
1023. HexedFable
1024. tmascia
1025. andreeacrisnina
1026. Kanti
1027. hvc10a
1028. HexMerck
1029. RoyCharlesWilliams
1030. pookeye
1031. Novec
1032. siemprelearner
1033. HumanNumber2
1034. RyanHingorani
1035. samoftheforrest
1036. jagraves
1037. schmyperbole
1038. t33kay
1039. pro_tool
1040. EtienneLumiere
1041. Hyoo
1042. robb_redditori
1043. Nicn4c
1044. oneupchuck
1045. caliphae
1046. LungFumoShe187
1047. laughed
1048. lindaaa
1049. wiggsusn
1050. shanemc
1051. lifeplus1
1052. vgmshadix
1053. jennessm
1054. bacondropped
1055. Juanco
1056. Sudstep
1057. reserz
1058. Joka999
1059. insyndication
1060. satan-senpai
1061. _lucidity
1062. issabellmb
1063. Chasity1978
1064. benknowlton
1065. goclairgo
1066. Horacio_Colbert
1067. bizzyAsh
1068. nowellahhh
1069. Theguybehindthescreen
1070. mdtr-49
1071. nativeviking
1072. jshmcelhone
1073. tunemeister
1074. dullchuck
1075. fauxhemian5
1076. fauxhemian5
1077. BEStone
1078. _illusion
1079. BigChapC
1080. acityofbridges
1081. zoxii
1082. nikolai
1083. newbaroque
1084. corey_cplusplus
1085. dollshitfaced
1086. Not_the_sun
1087. brohannesberg
1088. kkmcg21
1089. amorgio
1090. Outrage_Dragon
1091. Zubat_Breeder
1092. Brainshart
1093. vaGnomeMagician
1094. yoshua3
1095. NAH-Nick