-1+11280 
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"

Roster
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913. i_am_squish
914. Fitzy257
915. DEADBEEFdd
916. bobbibee
917. leonbasin
918. maicorral
919. NihilisticPriest
920. jaxmanation
921. SandBoxKing
922. moondesu
923. cmcmorrow
924. gfunkel
925. raineou
926. dml1989
927. Advils_Devocate
928. teddy16246
929. PanKarol
930. fitofrijolito
931. luxarus
932. BallinDalin
933. Scarlet_honey
934. lifeinpancakes
935. heepster
936. dnptrs
937. Dreadneck22
938. Evangelion92
939. shradha
940. gasquie
941. voidofman
942. bobbydylan.12
943. jowhica
944. senoresteban
945. brentshermana
946. DamnyouMongarians
947. Dusando
948. mattzimel
949. rough_ER
950. futurespacecadet
951. blobmoe
952. aviator1
953. alexwjohnson
954. Anjello
955. Urca
956. anphex
957. cheef_resident
958. bonhasgone
959. gtarjohnson
960. MasonHoberg
961. pipin574
962. MADXT
963. corntastic
964. Shadeslayr
965. E-than8211
966. prncezmimi
967. crastinator
968. bluffles
969. sl4327
970. Reggeatron
971. Bennymoonbase
972. keller452
973. funkshake
974. soniclizard
975. VSVWB
976. jd95
977. Seacrab
978. jonyuhas15
979. conorobrien50
980. Delusi0n
981. losergetsnothing
982. circulo
983. jayashraj
984. redditreporter424
985. daCostaDave
986. christianblough
987. Djmoyer
988. sfg
989. complainerslament
990. Merallak
991. Jamesjkr
992. LarryThreezor
993. conspiracyofqueens
994. iwishiwasryan
995. dergster
996. learning_stuff
997. infaustment
998. jibicationaire
999. fariq1mohd
1000. yippohappo
1001. katiewiththeboyds
1002. Lazydude88
1003. braindamage
1004. maagjoel
1005. thephotograph
1006. smk2541
1007. bernardosgr
1008. fotwentylife
1009. Bazzabazza
1010. AliceSAysNo
1011. sssnuff
1012. simha
1013. beachmouse
1014. rvramesh20
1015. drewstoned
1016. Anayansi-Iris
1017. raptor_rapture
1018. tbrown983
1019. gonnadoit
1020. Rebel375
1021. HexedFable
1022. tmascia
1023. andreeacrisnina
1024. Kanti
1025. hvc10a
1026. HexMerck
1027. RoyCharlesWilliams
1028. pookeye
1029. Novec
1030. siemprelearner
1031. HumanNumber2
1032. RyanHingorani
1033. samoftheforrest
1034. jagraves
1035. schmyperbole
1036. t33kay
1037. pro_tool
1038. EtienneLumiere
1039. Hyoo
1040. robb_redditori
1041. Nicn4c
1042. oneupchuck
1043. caliphae
1044. LungFumoShe187
1045. laughed
1046. lindaaa
1047. wiggsusn
1048. shanemc
1049. lifeplus1
1050. vgmshadix
1051. jennessm
1052. bacondropped
1053. Juanco
1054. Sudstep
1055. reserz
1056. Joka999
1057. insyndication
1058. satan-senpai
1059. _lucidity
1060. issabellmb
1061. Chasity1978
1062. benknowlton
1063. goclairgo
1064. Horacio_Colbert
1065. bizzyAsh
1066. nowellahhh
1067. Theguybehindthescreen
1068. mdtr-49
1069. nativeviking
1070. jshmcelhone
1071. tunemeister
1072. dullchuck
1073. fauxhemian5
1074. fauxhemian5
1075. BEStone
1076. _illusion
1077. BigChapC
1078. acityofbridges
1079. zoxii
1080. nikolai
1081. newbaroque
1082. corey_cplusplus
1083. dollshitfaced
1084. Not_the_sun
1085. brohannesberg
1086. kkmcg21
1087. amorgio
1088. Outrage_Dragon
1089. Zubat_Breeder
1090. Brainshart
1091. vaGnomeMagician
1092. yoshua3
1093. NAH-Nick
1094. carl.schuman
1095. jayarjo
1096. Ishwari
1097. issabellmb12
1098. tunnelhearing
1099. ditplm
1100. goldenbrown
1101. vasochan
1102. islam
1103. theresaandthefandoms
1104. wrpyo
1105. lurkingwasbetter
1106. captainjck
1107. 14th_Floor
1108. juyeon_jang
1109. grandlifehacker
1110. skillquestor
1111. Lisa
1112. repomancometh
1113. Eecyhn
1114. pitseleh
1115. abidigo
1116. mushkulpesend
1117. Bwalowitz
1118. analy7er
1119. Shubhra
1120. fiendish_ndsly
1121. luciono
1122. luciana
1123. akrebik
1124. Barclayb1
1125. sriharrsha
1126. McIsix
1127. Higs
1128. stef2death
1129. ticolanesla
1130. unenomade
1131. thesecretchord
1132. chickenchiba
1133. shevy
1134. 20sat92
1135. danielard
1136. betoriffs
1137. Mwurster89
1138. amirispop
1139. irni
1140. Pourliver
1141. Tapatiotaptapatio
1142. _hiimjohn_
1143. sebik3000
1144. bo0ky
1145. hollykins
1146. enola-gay
1147. nialltl
1148. Franco2955
1149. HotSteamyJustice
1150. bradical79
1151. Dhunsi
1152. Rajesh_Veeranki
1153. auraByRem
1154. BeardOfAJedi
1155. tom_sorrow
1156. imbellm
1157. umsibaba
1158. hooray4alex
1159. lindarden
1160. JoaoSantos
1161. melvin_butters
1162. wild_willy
1163. selden14
1164. eufav
1165. the_spicc
1166. toshak
1167. letisa
1168. dungeonmasterbater
1169. jshivarova
1170. cherish5522
1171. apocrypha13142
1172. Rayn
1173. herkelshmerkel
1174. WonderSounds
1175. swingygroover
1176. Farhad_H_Reza
1177. wealthmgr
1178. ilovekhakiii
1179. swagyoloman
1180. Awesome16380
1181. AU3017
1182. Cody72
1183. mmbazel
1184. NegativeThree
1185. dyslexicat
1186. churrokitty
1187. ekaergos
1188. glamarouane
1189. moshedpotatoes
1190. ubavic
1191. piranha23
1192. DeathPreys
1193. doug210
1194. anoos
1195. voxceleste
1196. goddammitliz
1197. danielhamg
1198. youdontevenlivehere
1199. knaveangel
1200. Nanodive
1201. SamanaSun
1202. eldinerio
1203. jstrain16
1204. Jbourne
1205. mc198579
1206. getit
1207. EsRever
1208. dmpascual
1209. camperw
1210. ElectricPineapplez
1211. anonjihen
1212. thedoctorfro
1213. designfish
1214. killuminoti
1215. fightingbuddha
1216. Shamanic
1217. maleibow
1218. salthoff
1219. kripasaravanan
1220. nafm999
1221. bevanRaymondchantler
1222. 01dd0g
1223. WhalenIllustration
1224. SumTingWong182
1225. maditurin
1226. Josette
1227. Adzam_Esi_Mawuena_Ruth
1228. ganti117
1229. Freshlypeeled
1230. luoslamora
1231. aewgn
1232. bobbi.bee
1233. Jsargentvt
1234. InDuckWeTrust
1235. shinon95
1236. alhay49
1237. Pied-Piper
1238. trambow
1239. lurkaderp
1240. back2schoolfool
1241. arvieabdon
1242. OliviaEHettman
1243. kristanaquin545
1244. Dwaalzin
1245. TheIndianTeabag
1246. RBM
1247. letisas
1248. boy_without_a_fairy
1249. Revcass
1250. instantcrush15
1251. sara2015jackson
1252. Abdeljalil
1253. azharakku97
1254. jaapvanderaar
1255. K4R3N
1256. cavali3r_king
1257. widaho
1258. appleworm81
1259. sarah-ziad
1260. ThaoLeTran
1261. ilfg
1262. jabudi
1263. Terryfink
1264. shlomer
1265. starskip
1266. miagirl75
1267. afrodeezee
1268. gargambagel
1269. chensjune
1270. frontraiderz
1271. Meestermoo2
1272. L00ph0l3
1273. elijahrolinskyy
1274. Anonymous_Sturgeon
1275. Meganbrown18
1276. zonisgod
1277. pavanpenjandra
1278. jthelen
1279. learnitnow
1280. miyustudying
1281. tammuz
1282. TheElectricTwist
1283. WingsOfRenewal
1284. butcherman
1285. flightofthemoa
1286. audgepodge24
1287. grimoireeeeee
1288. jamesabels
1289. monica_a
1290. conquestinvividcolor
1291. bnguyener
1292. brwesley7
1293. ricardo
1294. rggmcn
1295. cashman
1296. gravynsfw
1297. joey345
1298. eranshaer
1299. sequence_9
1300. bumpkin
1301. savantsavage
1302. bobbiburrows2
1303. exloser
1304. jw--
1305. jschoch
1306. Thorhey
1307. Guerr4m0
1308. kkarendiaz
1309. Baalka
1310. osheo
1311. zofopi
1312. Murosael
1313. dahodge
1314. stocklera1
1315. CrazyLineman777
1316. hfarnw
1317. Zero21
1318. cranbronkey
1319. Marshalldylan93
1320. chinktank
1321. coronaanoroc
1322. lazyguy711
1323. gordomaster
1324. Expare
1325. Abat
1326. vannnyy1992
1327. HaroldJIncandenza
1328. zsnuk
1329. JCSoundSystem
1330. ashsauce
1331. angelbg
1332. JoshuaWeinberger
1333. Thisisyou
1334. imStuuuuuck
1335. my_hairy_pussy
1336. infinit3knowledg3
1337. pikapii11
1338. ElectricSeahorse
1339. DurdenThe
1340. laimgrae
1341. mynameisdance
1342. Eilavamp
1343. archistudent
1344. cryk2