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Introduction [V] Preface [c] Dichotomies [c] Preface [p] 2fgrouptable 2ftable Philosophical Dichotomies [p] 2ffemmas yyscale 2fartcos 2fdef 2ftable 2fscience 2fyya 2fyya 2fyym 2ftable1 2ftable2 Music Dichotomies [p] 2fmuzper 2fsym 2fdimensions Melody and Development [p] 2fmonpoly 2fparpos Harmony Dichotomies [p] 2forigins 2fswingcir Rhythmic Containers [p] Cultural Habits [p] Intuition and Knowledge [p] 2fintuition 2fknowledge 2fpraise Welcome [P] History [p] comparison originaltruth ledastray wayback scientificgeneration illusion backtogalileo Acoustical Illusions [p] Science of Music [p] definitions sound-music musicgenerates sciencemethodology solidmodel sciencetracks Dimensions [p] Quantification [c] Rhythm [p] closing rhythmtools quaternary 4/4bar 2cells 4cells Harmony [p] progressions basic dominants inward outward buckle transform incompleteness chromaticism nonchordaltones modes modeclosing progressionsmodes fundamental flatteningmodes sharpeningmodes counter weakmodes emam amdm dmg dispositions Melody [p] melorhythm meloharm melolines Reference [c] Twitter [p] News [p] Comments and Questions [c] Introduction [c] Reactions [p] Thanks ! etc... [p] Acoustical Illusions [p] Mysteries [p] Video Clips [p] MathNovatory [p] Where to begin ? [p] New terminology [p] Emotion in Music [p] Definition of Music [p] Dichotomies [p] Volume and Timbre [p] Rhythm [c] The Unknown Container [p] Grouping and Subdivision [p] Footsie Animations [p] Level 0 Test [p] Little Drummer Boy [p] Sound of Silence [p] Level 0 of Two Songs [p] Time Signatures [p] Alternate Interpretations [p] Ternary and Irregular Rhythmic Structure [p] Bridge Level [p] Harmony [c] Preface [c] Chrominicism [p] Chords and Scales [p] Just Intonation [p] Overtones [p] Basics [c] Chords [p] 4-Note-Chords [p] Modes [p] Transformations [c] Bells [p] Tendency [p] Beethoven - parallel 5ths [p] Sonorities [c] Melody [c] Where is Melody ? [p] Twinkle Bridge [p] Applications [c] Analysis [p] Pedagogy [p] Modulations [p] Alphabetical [p] Chronological [p] The Use of Color [p] Definitions [c] A [p] a alternation amphibrach anapest B [p] b beat C [p] chordalfunction chordsymbols chromaticism chrominicism composing composingmusic D [p] dactyl division E [p] entities F [p] femininerhyme fifthsseriesof fission functionaltuning fusion G [p] H [p] harmonicstaff I [p] iamb Incompleteness interval intonation J [p] K [p] key kinetic L [p] level0def longbranchtuning M [p] masculinerhyme melorhythmcode melorhythmicbox mimima modes modulations multiplication music muzikeco mysteries N [p] naturalharmonics notevalues nucleus O [p] offbeat opening P [p] pasting phrasing pickup pickupassociation pickupgrouping procuration Q [p] R [p] rebound reboundassociation reboundgrouping rhymes rhythmiccell rhythmiclevels S [p] s satb scale scansion shadows shortbranchtuning sonorities splitcell static symmetry syncopation T [p] t tail tenantchords tetrad tonalfunction triad trochee trunktuning U [p] V [p] vocentro W [p] worlds X [p] Y [p] Z [p] Contribution [p] Rhythm [V] Structure of Time [C] Unknown Container [c] 1960 [P] 1978 [P] 1995 [p] 05 05a Alternation [p] association rebound pick-up bar-lines Rcode [p] twinkle-rcode1 twinkle-rcode2 twinkle-rcode polly-rcode redriver-rcode birthday-rcode never-rcode Basic Materials [c] Footsies [c] Preface [P] beatoffbeat Beat/Off-beat Pick-up Twinkle [p] 1a 1b 1c 1d Polly [p] 2a 2b 2c 2d 2e Red River [p] 3a 3b 3c 3d 3e More Elaborate [p] changing feet2 hands2 hands3 Graphics [c] Preface [P] cell Twinkle [p] Polly [p] Red River [p] Transformations [c] Footsies [c] Preface [P] 3 3/4 6/8 7/8 5 5/8 8 8/16 fibonacci Rock [p] Where [p] Birthday [p] level0 Valley [p] level-2-1 level0 Graphics [c] Preface [p] quaternary quatrebound quatpickup ternarygraphics terngroup 5/8 8/16 Rock [p] Where [p] Birthday [p] Valley [p] Meters [c] Changing Meters [p] twinkle polly redriver redriver68 rock where birthday valley 5/8 At Level 0 [p] twinklelimp1 Large Level Bars [p] twinkle birthday bachfugue Level 0 Change [p] ltos joy tabac asbridge Harmony [V] Structure of Pitch [c] Chrominicism [c] The Staircase [P] gradual consequences proof2 semitones hearing The Scale [p] Parking Lot [p] Generating Basic Materials [p] harmonymelody chordsscales generation diatonictriads diatonicscales complete circle Just Intonation [c] Preface [P] Diagrams [p] 1 ratio 2 2a1 2a2 2b +7 Tables [p] Functional Tuning [x] Progressive Pitch [x] Performance [p] maxplanck Natural Harmonics [p] Harmonics Table [x] 4 Forms of Harmony [c] Free Harmony [p] metamorphoses Diatonic Harmony [p] Rhythmic Harmony [p] Melodic Harmony [p] Price of Diatonicism [p] window directions modetable shape/sound diatonicism tonality bucklechord neapolitan6th Chord Symbols [p] Jordan Triangles [p] jt01 diamonds motrixdiagonals Pete's Paradox [p] origin nochange wrongchange rightchange examples realtest paraphrase Basic Materials [c] Individual Chords [p] tetrads construction chord-parts Disposition of Chords [p] window triad-disposition triad-mode tonic-chord Four Strong Modes [c] Preface [c] Presentation [P] Generation [p] 4modesgen +- modetable Disposition [p] dispositionmodes dispositionparameters transformation conclusions Alternative Disposition [p] differentdisposition accords Leading Tones [p] differentdisposition Chromatic Minor Revisited [p] quanrevisit 199505b Diatonic Major [p] nucleus dominant uptonic swing counter downtonic bewareoftriads tail antes circle buckle Diatonic Minor [p] nucleus tail circle Chromatic Major [p] nucleus circle alldominant Chromatic Minor [p] realtail nucleus circle alldominant Adjacent Chromatic [p] Melodic [p] Transformations [c] Intro [P] orbits lines voicedisposition bassvoice choraldisposition Voice-Leading [p] procuring natural-canons a canon-a bell-1 b canon-b c bell-2 Incompleteness [p] entirepartialsub real entiresub sixabc vlaswing0(3) vlaswing1(0) vlbswingno0 part-sub bell-3 7triads vlpossibilities Coda 1 [c] Voice-leading Matrix [p] vlmgen vlm10 vlm32 vlm43 vlma vlmb vlmc Uninvertibility [p] uivblues uiv11 uivaug uivdiad Metamorphoses [c] Individual [c] Preface [p] openclosed No. 1 [p] 1c majorcircle 1a 1b No. 2 [p] No. 3 [p] No. 4 [p] 9x74 4open 2meta-4 Interlaced Circles [p] Mixing [c] 0 and 1 [p] 01s2 01 01s3 011 001 01s4 0111 0001 0011 01s5 01111 00011 01010 00001 00111 01011 0 and 4 [p] 04s2 04 04s3 044 044 004 04s4 0444 0004 0044 1 and 4 [p] 14s2 14 14s3 144 114 14s4 1444 1114 1144 0, 1, and 4 [p] 014s3 014 041 Coda 2 [p] 0 0a 0b 0c 1 1a 1b 1c 2 2a 2b 2c 3 3a 3b 3c 4 4a 4b 4c 4ca 4ca1 Chromaticism [c] Dominantization [p] Dswings bell-2d bell-3d meta-1cd meta-1ad meta-2d meta-3d meta-4d Orbit 4 [p] orbit4-dom orbit4-ton orbit4-tond meta-4o4 Diminution [p] halfcircle dia-chrom no-fb sharpchords bothchords blueschord Augmentation [p] ondominant triads tetrads Non-chordal Tones [p] A-temp-perm temp temp0 temp1 temp2 perm s-2 s6 B-sup-inf sup inf p+7 p+4 p+2 p6 C-normal-abn normal abn s1s-2 D-single-double single ss-3 combinations no-median s4p2 bell-5 s-2s1swing s-2s1swing s-2s1circle bell-4 s-2s1scale beware 2sets-8 end2dim8 circle2dim8 circle3dim8 Sonorities [c] Prelude [c] Preface [P] List [p] 4-note-gen 4chordaldiatonic 4nonchordaldiatonic 4chordalnonchordalchromatic 4nonchordalchromatic 4diatonicclusters 4chromaticclusters 3-note-gen 3chordaldiatonic 3chordalchromatic 3nonchordaldiatonic 3chordaldiatonicincompletetetrads Nonchordaldiatonicincompletetetrads 3nonchordalchromaticincompletetetrads 3chromaticclusters 4-note-num 3-note-num Favorites [c] Em-F Swings [p] Diminished Sevenths [p] diminution orbit4 nonchordal p+4 6sources Augmented Triads [p] Diminished, Augmented [p] The Blues Chord [p] blueschord Stretch Chords [p] Clusters [p] 4-note 3-note Alleluia Coda [p] Melody [V] Symbiosis [c] Preface [P] The Langer Hinge [p] lengthvariety inmelorhythm levels inmeloharm inmelolines symmetry Archetypes [c] in Melo-Rhythm [p] in Melo-Harmony [p] in Melo-Lines [p] Melo-Rhythm [c] Preface [P] redriverempty note-values spreadsnap comineven comindotsnap changingmeters 3/4 rock34 6/8 where68 9/16 valley916 5/8 redriverlimp2 64-21 bonniecircle compartmentcontent rhymes kineticstatic pickup entities mimima birthdaymimima Syncopations [p] preface anticipated -2 -3 -4 retarded cucaracha rule examples spreadsyncopations chopinbmin bachebmin beethoven8 dotexamples 3/4-6/8shift Procedures [p] pollyfuncell division neverversecell multiplication neververse2cell fission neverchoruscell fusion twinklefusion symmetry jinglesymmetry Generation [p] neververse neverchorus valley twinkle tender comin rock auldlang redriver where autumn quando jingle auralee tannenbaum birthday mountain saints fourcells polly mary bridge Commentary [p] fourcells splitcells p3 Melo-Harmony [c] Preface [P] harmonicstaff numbering Basic Materials [p] entities Transformations [p] opening 34symmetry 5324 tenant sharpertenant 74symmetry 64 flattertenant table4cell cptable shadows pasting complete same different longer incomplete complete consequent majorminor minor minorcircle Bridges [p] symmetry Melo-Lines [c] Preface [P] 34symmetry1 34symmetry2 34symmetry3 34symmetry4 linestable Entities [p] Methods [p] Analysis [p] symmetry analtwinkle twinklemel analpolly pollymel analredriver redrivermel analrock rockmel analwhere wheremel analbirthday birthdaymel analvalley valleymel Generation [p] gentwinkle genpolly genredriver genrock genwhere genbirthday genvalley Applications [V] Evaluation [c] Analysis [c] Preface [c] Introduction [P] doubleqc joro compa Title [p] Judging [p] Operation [p] Showcase [c] Santa Claus Is Comin' To Town [p] Santa-Return [p] Joy To The World [p] Joy-Return [p] Winter Wonderland [p] Winter-Return [p] Anthems [c] Britain [c] God Save The Queen (America) [p] God Save The Queen (America)-Return [p] USA [c] The Star Spangled Banner [p] Star Spangled Banner-Return [p] Canada [c] O Canada [p] O Canada-Return [p] France [c] La Marseillaise [p] La Citoyenne-Return [p] citoy Intensive Care [c] All The Things You Are [p] Things-Return [p] Stardust [p] Stardust-Return [p] Charade [p] Charade-Return [p] Top Shape [c] Elective Surgery [c] Diagnosis [c] Tasting Polls [c] Introduction [P] Poll 1 [p] Poll 2 [p] Poll 3 [p] Poll 4 [p] Poll 5 [p] Poll 6 [p] Poll 7 [p] Pedagogy [c] Guided Tours [c] Operation [p] Exercise 1 [p] Exercise 2 [p] examples test Exercise 3A [p] Exercise 3B [p] Exercise 3C [p] exercise Exercise 3D [p] Exercise 4A [p] tenantchordsymbols motrixpositions tenantkeyboard Exercise 4B [p] shadowchordsymbols tenantkeyboard Exercise 5 [p] Exercise 6A [p] Exercise 6B [p] Exercise 6C [p] Exercise 7A [p] Exercise 7B [p] Exercise 7C [p] Exercise 8 [p] Exercise 9 [p] Exercise 10 [p] Exercise 11 [p] Exercise 12 [p] Harmony 101 [c] Preface [P] Root Position [p] ready rootswings rootcircle rootextended homework progressions triadprogressions givenbass composition Minor Mode [p] ready homework Inversions [p] first 1required 1optional second 2required 2optional Triad Harmony [c] Real [P] definitions basicsfirst voiceleadinglines basic variations vocaldisposition choiceofkey thmelody Class 1 [p] 34 2x exercises Class 2 [p] 76 2x cadentialstrength exercises Class 3 [p] 74 7s4 exercises Class 4 [p] 7so4 exercises Class 5 [p] s74 rise 052 053 054 055 is74 exercises deceptive [p] definition comparereal iv-v nofb 2vll constants patterns Class 6 [p] 5671 exercises Class 7 [p] 1234 exercises Class 8 [p] 171 434 exercises Class 9 [p] 134-571 534 exercises Circle [p] definition onlyreal addeddeceptive Class 10 [p] circlereal 14736251 exercises Class 11 [p] circledeceptive 34231271 16756451 14236451 16736451 exercises Class 12 [p] circlerd 13467235 exercises Progressions [p] fifth second third illusorythird third Keyboard Harmony [c] Uniform Keyboard [c] Description [p] Exercises [c] First Step [p] Second Step [p] Short Promenades [p] sp01a sp02a sp03a sp01b sp02b sp03b sp01c sp02c sp03c sp01d sp02d sp03d Medium Promenades [p] mp01 mp02 mp03 Long Promenades [p] lmp01 lp02 lp03 X-Long Promenades [p] xlmp01 xlmp02 xlmp03 Composition [c] Fugue [c] Preface [P] form expositions chordpatterns fuguelines divertimenti divchordpatterns divfuguelines Class 1 [p] exp sonorities aa vef1 vef2 aaaa veh1 veh2 ornaments div divs divc complete com1divc com2divs Class 2 [p] me me me vef1 me vef2 me veh1 me veh2 me veo1 mdc mdc ve1dc Class 3 [p] 03me me vef1 veh1 mdc mds complete mei mei Class 4 [p] mds complete Class 5 [p] aa aa mds complete me vdcx Class 6 [p] div Class 7 [p] aa div Class 8 [p] Class 9 [p] Class 10 [p] Class 11 [p] Class 12 [p] The 3-part Fugue [p] ve1dc ve1dc ve1dc Counter Melodies [c] Melody 1 [P] Melody 2 [p] Example 1 [p] Example 2 [p] Example 3 [p] Example 4 [p] Canons [c] Preface [P] Natural [c] Nature's Gift [p] Sextensions [p] ncsex001 ncsex004 ncsex005 ncsex006 ncsex011 ncsex012 ncsex101 ncsex102 More Musical [c] 1. Adding Rhythm [p] 2. Antecedent and Consequent [p] 2consequent 3. Changing Swings (2 notches apart) [p] 4. Changing Swings (1 notch apart) [p] dispositions 5. Assembling [p] tables game 6. The Circle [p] binarycircle binary1entity binary2entities binary4entities ternarycircle ternary1entity ternary3entities fibonacci8circle graphicfib8 fib1entity fib3entities 2circles 3times5 5times3 2times8 Metamorphoses [c] 0 and 1 [p] 01psce 01spce 011ppce 011ssce 001pse 001spe 0011ppe 0011sse 0 and 4 [p] 04pce 04sce 044pce 004pe 0044pe 1 and 4 [p] 14pse 14spe 144pse 144spe 114pce 114sce 1144pe 1144se 0, 1 and 4 [p] 014psce 014spce 041psce 041spce Rounds [p] 4 4a 4b 4c 4d 34 34 Face to Face [p] pivots timepivots ineachbar atlargerlevels pitchpivots pitchpivot1 tonicframe 64 clefkey face1p01 modes diatonicmajor diatonicminor chromaticminor chromaticmajor intervals octaves thirds countermelodies practice Modulation [c] Preface [P] tonic ante1 1 [p] 2 [p] 3 [p] modu3-01a 456 [p] minor completemodu modu4 modu5 modu6 modu456 natcan M-M [p] c-g c-e c-f c-ab M-m [p] modu4-16a m-M [p] modu4-33a m-m [p] ModuCode [p] Arrangement [c] Orchestration [c] Instruments [p] references textbooks musicscores transposinginstruments Timbre [p] definition usage legatostaccato volumecontrol Types [p] melacc layers Corrections [p] Learning [p] Works [c] Preface [P] Audio Clips [p] twinklelimp1 twinklelimp1inv twinklelimp2 twinklelimp2inv birthdaylimp1 birthdaylimp1inv birthdaylimp2 birthdaylimp2inv redriverlimp1 redriverlimp1inv redriverlimp2 redriverlimp2inv bonniecircle bonniecircleinv softsupercouples rain Songs 1 [c] A Guiding Light [c] Notes [p] Music [p] A Teeny Weeny Bit [c] Notes [p] Music [p] Aunt Rhody's Goose [c] Notes [p] Music [p] Black And White [c] Notes [p] Music [p] Halloween Song [c] Notes [p] Music [p] Handkerchief Round [c] Notes [p] Music [p] I Love Spring [c] Notes [p] Music [p] It Stayed With Her Mother [c] Notes [p] Music [p] Lazy Mary [c] Notes [p] Music [p] MacDonald's Farm [c] Notes [p] Music [p] Mary And Her Little Lamb [c] Notes [p] Music [p] Oh ! What Fun [c] Notes [p] Music [p] One More Sip [c] Notes [p] Music [p] The Wild Rose Of Scotland [c] Notes [p] Music [p] The Yankee Song [c] Notes [p] Music [p] Whispers Of The Night [c] Notes [p] Music [p] Win Or Lose [c] Notes [p] Music [p] Songs 2 [c] A Paper Of Pins [c] Notes [p] Music [p] Baby's Little Horses [c] Notes [p] Music [p] Jack And Georgie [c] Notes [p] Music [p] Let's Have A Party [c] Notes [p] Music [p] Rock-A-Bye In The Rain [c] Notes [p] Music [p] Simon And Mary [c] Notes [p] Music [p] The Forty-Niners' Song [c] Notes [p] Music [p] The More We Sing Together [c] Notes [p] Music [p] Where Is My Little Doggie ? [c] Notes [p] Music [p] Songs 3 [c] Aura Lee Canon [c] Notes [p] Music [p] Christmas Is White Again [c] Notes [p] Music [p] Little Christmas Star [c] Notes [p] Music [p] Songs 4 [c] Choral [c] Chopsticks [c] Notes [p] Music [p]

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