Cool Math for Hot Music 輪読会 Sec.22

Transcript

1. HASH 2021-09-20
   22. Coltrane's Giant Steps
   Cool Math for Hot Music ྠಡձ
   

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2. ໨ඪ
   1. Fig. 22.8 Λ෼͔ͬͨؾʹͳΔ
   

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3. େ·͔ͳྲྀΕ
   1. ෼ੳ § 22.1
   2. ෼ੳ͔Β૑࡞΁ § 22.2
   

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4. 1. ෼ੳ
   

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5. • "Giant Steps" (John Coltrane, 1960)
   • ΩʔϘʔυͷ McCoy Tyner ͕ Coltrane ͔Βड͚औͬͨϦʔυγʔτ͸ςϯϙະهࡌ
   • όϥʔυͱࢥ͍ࠐΜͰ͍ͨΒϨίʔσΟϯά͕ςϯϙ 286 Ͱ࢝·ΓɺMcCoy ͸ΞυϦϒιϩΛ
   ϚτϞʹ஄͚ͳ͔ͬͨΒ͍͠
   • ޙ೔ஊɿMcCoy ͸ͦͷޙϦϦʔεͨ͠ΞϧόϜͷ 1 ۂ໨ʹ "Giant Steps" ͰϦϕϯδ
   1. ෼ੳ
   

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6. • ஶऀͷओுʮX7
   Λ X˚7
   ͱݟͳͤ͹৭ʑͱίʔυਐߦʹରশੑ͕ݟ͑ͯ͘ΔΑʯ
   • ͦΕ͸΍Γ͗͢Ͱ͸……ͱࢥ͏͚ͲɺҰ୴ओுΛೝΊ·͠ΐ͏
   • ·ͣ͸Լͷ఺ઢͰғΜͩ෦෼ͷίʔυਐߦʹ͍ͭͯ
   • A-7
   Λத৺ʹɺલ൒ͱޙ൒͕શ͘ಉ͡ D˚7
   → G˚7
   → Bb˚7
   → Eb˚7
   ͳ͜ͱʹண໨
   1. ෼ੳ
   

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7. • A-7
   ࣗ਎͸ d-f# ࣠Ͱઢରশʢ͜ͷରশੑΛ Id
   ͱݺͿ͜ͱʹʣ
   • G˚7
   ͱ Bb˚7
   ͸ Id
   ʹؔͯ͠ରশؔ܎ʹ͋ΔʢBb7 Λ Bb˚7
   ͱಉҰࢹ͢Δʣ
   • ಉ༷ʹͯ͠ D˚7
   ͱ Eb˚7
   ΋ Id
   ʹؔͯ͠ରশؔ܎
   1. ෼ੳ
   0
   1
   2
   3
   4
   5
   6
   7
   8
   9
   10
   11 Id
   A-7
   0
   1
   2
   3
   4
   5
   6
   7
   8
   9
   10
   11 Id
   G˚7
   0
   1
   2
   3
   4
   5
   6
   7
   8
   9
   10
   11 Id
   Bb˚7
   

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8. • ͢Δͱ A-7
   Λத৺ʹ Id
   ʹؔ͢Δରশؔ܎͕޿͘ଘࡏ͢Δ͜ͱ͕ݟ͑ͯ͘Δ
   1. ෼ੳ
   

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9. • ͢Δͱ A-7
   Λத৺ʹ Id
   ʹؔ͢Δରশؔ܎͕޿͘ଘࡏ͢Δ͜ͱ͕ݟ͑ͯ͘Δ
   1. ෼ੳ
   औΓग़͢
   

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10. Fig. 22.6 ࣌ࠁ
    II-V-I ͷ 4 ౓ؔ܎
    

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11. Fig. 22.7
    ʢB - G - Eb ʹΑΔϚϧντχοΫγεςϜ ʣ
    

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12. 1. ෼ੳ
    ʮத৺࣠γεςϜʯ
    ϨϯυϰΝΠɾΤϧω
    "Coltrane Changes"
    δϣϯɾίϧτϨʔϯ
    ίϧτϨʔϯ͸ "Countdown" ͱ͍͏ۂͰ
    6 τχοΫͷ Coltrane Changes ΋࡞ͬͨ
    ϨϯυϰΝΠɾΤϧω͕όϧτʔΫָۂͷ
    ෼ੳ༻ʹ࡞ͬͨཧ࿦
    https://soundquest.jp/quest/chord/chord-mv6/ttj-coltrane-changes/
    

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13. Fig. 22.8
    ࣌ࠁ
    ಛ௃తͳϧʔϓ
    

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14. • Ϟνʔϑʹ͍ͭͯ
    • ๯಄ͷϞνʔϑ͸࠷ॳͱ࠷ޙ͕ F# 㲗 Bb Ͱ Id
    ରশ
    • 5 খઅ໨͔ΒͷϞνʔϑ΋ Bb 㲗 F# Ͱ Id
    ରশ
    ʢࢲݟɿ2 Ի໨ͳͷʹࣗઆΛิڧ͢Δͷ͸ζϧ͘ͳ͍ʁʣ
    1. ෼ੳ
    Id
    F#
    Bb
    

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15. • Ϟνʔϑʹ͍ͭͯ
    • ๯಄ͷϞνʔϑ͸ G˚7
    ͷΞϧϖδΦ
    • 5 খઅ໨͔ΒͷϞνʔϑ΋ Eb˚7
    ͷΞϧϖδΦ
    1. ෼ੳ
    

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16. 2. ෼ੳ͔Β૑࡞΁
    

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17. 2. ෼ੳ͔Β૑࡞΁
    • ϒʔϨʔζɿ෼ੳͯ͠৽͍͠࡞඼Λ࡞Δ "Creative Analysis" ͕େࣄ
    • ஶऀɿ͜͜·Ͱͷ෼ੳΛ࢖ͬͯ৽ۂ࡞Γ·ͨ͠ʂͦͷ໊΋ "Giant's Steps"
    • ژ౎ɿʮڊਓͷํʹ৐Δʯʹ্ֻ͚͓ͨखͳλΠτϧ࡞Γ͸Γ·͢ͳ͋
    • https://vimeo.com/ondemand/imaginarytime Ͱ $1 ՝ۚ͢Ε͹ௌ͚Δʢ36:33ʙʣ
    • Piano + 2 ਓͷ Drums ʹΑΔόνόνͷϑϦʔδϟζʢʹௌ͑͜Δʣ
    • ͜ͷຊΛಡΜͰ΋ͳΜ΋Θ͔ΒΜɺௌ͍ͯ΋Θ͔ΒΜ
    

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18. • Fig. 22.10 ͸ϞνʔϑΛ࡞Δ࿩Β͍͠
    • ಛ௃తͳϧʔϓ͸࠾༻
    • Coltrane Έ͍ͨʹΞϧϖδΦ 1 Իͣͭ
    ϋʔϞφΠζ͢ΔͷͰ͸ͳ͘ɺ1 ͭͷ
    ίʔυ಺ͰΑΓϝϩσΟοΫͳϞνʔϑ
    Λ࡞ΔʢͰ΋ௌ͑͜ͳ͍ʣ
    • ίʔυͱͯ͠໐Β͢ΞϧϖδΦͷϰΥ
    Πγϯά͸ޒ౓ݍΛݩʹܾΊͨΒ͍͠
    ʢࢲݟɿͦΕͬͯ୯ͳΔ 4th-5th
    interval build Ͱ͸ʁʣ
    2. ෼ੳ͔Β૑࡞΁
    

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19. • શମͱͯ͠ Coltrane ͷίʔυਐ
    ߦΛ࠾༻͍ͯ͠ΔΒ͍͠
    • ଎͍෦෼͸ "Giant Steps" ʹΠϯ
    εϐϨʔγϣϯ͞ΕͨϞνʔϑ
    Λɺrall. ͢Δͱ "Love Supreme"
    ʢ͜Ε΋ Coltrane ͷ໊൫ʣ෩ͳ
    Ϟνʔϑ͕ग़ͯ͘ΔΒ͍͠
    ʢͰ΋ௌ͑͜ͳ͍ʣ
    • ࢀߟɿLove Supreme ͷϞνʔϑ
    2. ෼ੳ͔Β૑࡞΁
    

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