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Cool Math for Hot Music 輪読会 Sec.22
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Ryo Sakuma
September 20, 2021
Science
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Cool Math for Hot Music 輪読会 Sec.22
Ryo Sakuma
September 20, 2021
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Transcript
HASH 2021-09-20 22. Coltrane's Giant Steps Cool Math for Hot
Music ྠಡձ
ඪ 1. Fig. 22.8 Λ͔ͬͨؾʹͳΔ
େ·͔ͳྲྀΕ 1. ੳ § 22.1 2. ੳ͔Β࡞ § 22.2
1. ੳ
• "Giant Steps" (John Coltrane, 1960) • ΩʔϘʔυͷ McCoy Tyner
͕ Coltrane ͔Βड͚औͬͨϦʔυγʔτςϯϙະهࡌ • όϥʔυͱࢥ͍ࠐΜͰ͍ͨΒϨίʔσΟϯά͕ςϯϙ 286 Ͱ࢝·ΓɺMcCoy ΞυϦϒιϩΛ ϚτϞʹ͚ͳ͔ͬͨΒ͍͠ • ޙஊɿMcCoy ͦͷޙϦϦʔεͨ͠ΞϧόϜͷ 1 ۂʹ "Giant Steps" ͰϦϕϯδ 1. ੳ
• ஶऀͷओுʮX7 Λ X˚7 ͱݟͳͤ৭ʑͱίʔυਐߦʹରশੑ͕ݟ͑ͯ͘ΔΑʯ • ͦΕΓ͗͢Ͱ……ͱࢥ͏͚ͲɺҰ୴ओுΛೝΊ·͠ΐ͏ • ·ͣԼͷઢͰғΜͩ෦ͷίʔυਐߦʹ͍ͭͯ •
A-7 Λத৺ʹɺલͱޙ͕શ͘ಉ͡ D˚7 → G˚7 → Bb˚7 → Eb˚7 ͳ͜ͱʹண 1. ੳ
• A-7 ࣗ d-f# ࣠Ͱઢରশʢ͜ͷରশੑΛ Id ͱݺͿ͜ͱʹʣ • G˚7 ͱ
Bb˚7 Id ʹؔͯ͠ରশؔʹ͋ΔʢBb7 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
• ͢Δͱ A-7 Λத৺ʹ Id ʹؔ͢Δରশ͕ؔ͘ଘࡏ͢Δ͜ͱ͕ݟ͑ͯ͘Δ 1. ੳ
• ͢Δͱ A-7 Λத৺ʹ Id ʹؔ͢Δରশ͕ؔ͘ଘࡏ͢Δ͜ͱ͕ݟ͑ͯ͘Δ 1. ੳ औΓग़͢
Fig. 22.6 ࣌ࠁ II-V-I ͷ 4 ؔ
Fig. 22.7 ʢB - G - Eb ʹΑΔϚϧντχοΫγεςϜ ʣ
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/
Fig. 22.8 ࣌ࠁ ಛతͳϧʔϓ
• Ϟνʔϑʹ͍ͭͯ • ಄ͷϞνʔϑ࠷ॳͱ࠷ޙ͕ F# 㲗 Bb Ͱ Id ରশ
• 5 খઅ͔ΒͷϞνʔϑ Bb 㲗 F# Ͱ Id ରশ ʢࢲݟɿ2 ԻͳͷʹࣗઆΛิڧ͢Δͷζϧ͘ͳ͍ʁʣ 1. ੳ Id F# Bb
• Ϟνʔϑʹ͍ͭͯ • ಄ͷϞνʔϑ G˚7 ͷΞϧϖδΦ • 5 খઅ͔ΒͷϞνʔϑ Eb˚7
ͷΞϧϖδΦ 1. ੳ
2. ੳ͔Β࡞
2. ੳ͔Β࡞ • ϒʔϨʔζɿੳͯ͠৽͍͠࡞Λ࡞Δ "Creative Analysis" ͕େࣄ • ஶऀɿ͜͜·ͰͷੳΛͬͯ৽ۂ࡞Γ·ͨ͠ʂͦͷ໊ "Giant's
Steps" • ژɿʮڊਓͷํʹΔʯʹ্ֻ͚͓ͨखͳλΠτϧ࡞ΓΓ·͢ͳ͋ • https://vimeo.com/ondemand/imaginarytime Ͱ $1 ՝ۚ͢Εௌ͚Δʢ36:33ʙʣ • Piano + 2 ਓͷ Drums ʹΑΔόνόνͷϑϦʔδϟζʢʹௌ͑͜Δʣ • ͜ͷຊΛಡΜͰͳΜΘ͔ΒΜɺௌ͍ͯΘ͔ΒΜ
• Fig. 22.10 ϞνʔϑΛ࡞ΔΒ͍͠ • ಛతͳϧʔϓ࠾༻ • Coltrane Έ͍ͨʹΞϧϖδΦ 1
Իͣͭ ϋʔϞφΠζ͢ΔͷͰͳ͘ɺ1 ͭͷ ίʔυͰΑΓϝϩσΟοΫͳϞνʔϑ Λ࡞ΔʢͰௌ͑͜ͳ͍ʣ • ίʔυͱͯ͠໐Β͢ΞϧϖδΦͷϰΥ ΠγϯάޒݍΛݩʹܾΊͨΒ͍͠ ʢࢲݟɿͦΕͬͯ୯ͳΔ 4th-5th interval build Ͱʁʣ 2. ੳ͔Β࡞
• શମͱͯ͠ Coltrane ͷίʔυਐ ߦΛ࠾༻͍ͯ͠ΔΒ͍͠ • ͍෦ "Giant Steps" ʹΠϯ
εϐϨʔγϣϯ͞ΕͨϞνʔϑ Λɺrall. ͢Δͱ "Love Supreme" ʢ͜Ε Coltrane ͷ໊൫ʣ෩ͳ Ϟνʔϑ͕ग़ͯ͘ΔΒ͍͠ ʢͰௌ͑͜ͳ͍ʣ • ࢀߟɿLove Supreme ͷϞνʔϑ 2. ੳ͔Β࡞