-1+11243 
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. STFUandLove
914. i_am_squish
915. Fitzy257
916. DEADBEEFdd
917. bobbibee
918. leonbasin
919. maicorral
920. NihilisticPriest
921. jaxmanation
922. SandBoxKing
923. moondesu
924. cmcmorrow
925. gfunkel
926. raineou
927. dml1989
928. Advils_Devocate
929. teddy16246
930. PanKarol
931. fitofrijolito
932. luxarus
933. BallinDalin
934. Scarlet_honey
935. lifeinpancakes
936. heepster
937. dnptrs
938. Dreadneck22
939. Evangelion92
940. shradha
941. gasquie
942. voidofman
943. bobbydylan.12
944. jowhica
945. senoresteban
946. brentshermana
947. DamnyouMongarians
948. Dusando
949. mattzimel
950. rough_ER
951. futurespacecadet
952. blobmoe
953. aviator1
954. alexwjohnson
955. Anjello
956. Urca
957. anphex
958. cheef_resident
959. bonhasgone
960. gtarjohnson
961. MasonHoberg
962. pipin574
963. MADXT
964. corntastic
965. Shadeslayr
966. E-than8211
967. prncezmimi
968. crastinator
969. bluffles
970. sl4327
971. Reggeatron
972. Bennymoonbase
973. keller452
974. funkshake
975. soniclizard
976. VSVWB
977. jd95
978. Seacrab
979. jonyuhas15
980. conorobrien50
981. Delusi0n
982. losergetsnothing
983. circulo
984. jayashraj
985. redditreporter424
986. daCostaDave
987. christianblough
988. Djmoyer
989. sfg
990. complainerslament
991. Merallak
992. Jamesjkr
993. LarryThreezor
994. conspiracyofqueens
995. iwishiwasryan
996. dergster
997. learning_stuff
998. infaustment
999. jibicationaire
1000. fariq1mohd
1001. yippohappo
1002. katiewiththeboyds
1003. Lazydude88
1004. braindamage
1005. maagjoel
1006. thephotograph
1007. smk2541
1008. bernardosgr
1009. fotwentylife
1010. Bazzabazza
1011. AliceSAysNo
1012. sssnuff
1013. simha
1014. beachmouse
1015. rvramesh20
1016. drewstoned
1017. Anayansi-Iris
1018. raptor_rapture
1019. tbrown983
1020. gonnadoit
1021. Rebel375
1022. HexedFable
1023. tmascia
1024. andreeacrisnina
1025. Kanti
1026. hvc10a
1027. HexMerck
1028. RoyCharlesWilliams
1029. pookeye
1030. Novec
1031. siemprelearner
1032. HumanNumber2
1033. RyanHingorani
1034. samoftheforrest
1035. jagraves
1036. schmyperbole
1037. t33kay
1038. pro_tool
1039. EtienneLumiere
1040. Hyoo
1041. robb_redditori
1042. Nicn4c
1043. oneupchuck
1044. caliphae
1045. LungFumoShe187
1046. laughed
1047. lindaaa
1048. wiggsusn
1049. shanemc
1050. lifeplus1
1051. vgmshadix
1052. jennessm
1053. bacondropped
1054. Juanco
1055. Sudstep
1056. reserz
1057. Joka999
1058. insyndication
1059. satan-senpai
1060. _lucidity
1061. issabellmb
1062. Chasity1978
1063. benknowlton
1064. goclairgo
1065. Horacio_Colbert
1066. bizzyAsh
1067. nowellahhh
1068. Theguybehindthescreen
1069. mdtr-49
1070. nativeviking
1071. jshmcelhone
1072. tunemeister
1073. dullchuck
1074. fauxhemian5
1075. fauxhemian5
1076. BEStone
1077. _illusion
1078. BigChapC
1079. acityofbridges
1080. zoxii
1081. nikolai
1082. newbaroque
1083. corey_cplusplus
1084. dollshitfaced
1085. Not_the_sun
1086. brohannesberg
1087. kkmcg21
1088. amorgio
1089. Outrage_Dragon
1090. Zubat_Breeder
1091. Brainshart
1092. vaGnomeMagician
1093. yoshua3
1094. NAH-Nick
1095. carl.schuman
1096. jayarjo
1097. Ishwari
1098. issabellmb12
1099. tunnelhearing
1100. ditplm
1101. goldenbrown
1102. vasochan
1103. islam
1104. theresaandthefandoms
1105. wrpyo
1106. lurkingwasbetter
1107. captainjck
1108. 14th_Floor
1109. juyeon_jang
1110. grandlifehacker
1111. skillquestor
1112. Lisa
1113. repomancometh
1114. Eecyhn
1115. pitseleh
1116. abidigo
1117. mushkulpesend
1118. Bwalowitz
1119. analy7er
1120. Shubhra
1121. fiendish_ndsly
1122. luciono
1123. luciana
1124. akrebik
1125. Barclayb1
1126. sriharrsha
1127. McIsix
1128. Higs
1129. stef2death
1130. ticolanesla
1131. unenomade
1132. thesecretchord
1133. chickenchiba
1134. shevy
1135. 20sat92
1136. danielard
1137. betoriffs
1138. Mwurster89
1139. amirispop
1140. irni
1141. Pourliver
1142. Tapatiotaptapatio
1143. _hiimjohn_
1144. sebik3000
1145. bo0ky
1146. hollykins
1147. enola-gay
1148. nialltl
1149. Franco2955
1150. HotSteamyJustice
1151. bradical79
1152. Dhunsi
1153. Rajesh_Veeranki
1154. auraByRem
1155. BeardOfAJedi
1156. tom_sorrow
1157. imbellm
1158. umsibaba
1159. hooray4alex
1160. lindarden
1161. JoaoSantos
1162. melvin_butters
1163. wild_willy
1164. selden14
1165. eufav
1166. the_spicc
1167. toshak
1168. letisa
1169. dungeonmasterbater
1170. jshivarova
1171. cherish5522
1172. apocrypha13142
1173. Rayn
1174. herkelshmerkel
1175. WonderSounds
1176. swingygroover
1177. Farhad_H_Reza
1178. wealthmgr
1179. ilovekhakiii
1180. swagyoloman
1181. Awesome16380
1182. AU3017
1183. Cody72
1184. mmbazel
1185. NegativeThree
1186. dyslexicat
1187. churrokitty
1188. ekaergos
1189. glamarouane
1190. moshedpotatoes
1191. ubavic
1192. piranha23
1193. DeathPreys
1194. doug210
1195. anoos
1196. voxceleste
1197. goddammitliz
1198. danielhamg
1199. youdontevenlivehere
1200. knaveangel
1201. Nanodive
1202. SamanaSun
1203. eldinerio
1204. jstrain16
1205. Jbourne
1206. mc198579
1207. getit
1208. EsRever
1209. dmpascual
1210. camperw
1211. ElectricPineapplez
1212. anonjihen
1213. thedoctorfro
1214. designfish
1215. killuminoti
1216. fightingbuddha
1217. Shamanic
1218. maleibow
1219. salthoff
1220. kripasaravanan
1221. nafm999
1222. bevanRaymondchantler
1223. 01dd0g
1224. WhalenIllustration
1225. SumTingWong182
1226. maditurin
1227. Josette
1228. Adzam_Esi_Mawuena_Ruth
1229. ganti117
1230. Freshlypeeled
1231. luoslamora
1232. aewgn
1233. bobbi.bee
1234. Jsargentvt
1235. InDuckWeTrust
1236. shinon95
1237. alhay49
1238. Pied-Piper
1239. trambow
1240. lurkaderp
1241. back2schoolfool
1242. arvieabdon
1243. OliviaEHettman
1244. kristanaquin545
1245. Dwaalzin
1246. TheIndianTeabag
1247. RBM
1248. letisas
1249. boy_without_a_fairy
1250. Revcass
1251. instantcrush15
1252. sara2015jackson
1253. Abdeljalil
1254. azharakku97
1255. jaapvanderaar
1256. K4R3N
1257. cavali3r_king
1258. widaho
1259. appleworm81
1260. sarah-ziad
1261. ThaoLeTran
1262. ilfg
1263. jabudi
1264. Terryfink
1265. shlomer
1266. starskip
1267. miagirl75
1268. afrodeezee
1269. gargambagel
1270. chensjune
1271. frontraiderz
1272. Meestermoo2
1273. L00ph0l3
1274. elijahrolinskyy
1275. Anonymous_Sturgeon
1276. Meganbrown18
1277. zonisgod
1278. pavanpenjandra
1279. jthelen
1280. learnitnow
1281. miyustudying
1282. tammuz
1283. TheElectricTwist
1284. WingsOfRenewal
1285. butcherman
1286. flightofthemoa
1287. audgepodge24
1288. grimoireeeeee
1289. jamesabels
1290. monica_a
1291. conquestinvividcolor
1292. bnguyener
1293. brwesley7
1294. ricardo
1295. rggmcn
1296. cashman
1297. gravynsfw
1298. joey345
1299. eranshaer
1300. sequence_9
1301. bumpkin
1302. savantsavage
1303. bobbiburrows2