Cool Math for Hot Music 輪読会 Sec.22

1. HASH 2021-09-20 22. Coltrane's Giant Steps Cool Math for Hot Music ྠಡձ
2. ໨ඪ 1. Fig. 22.8 Λ෼͔ͬͨؾʹͳΔ
3. େ·͔ͳྲྀΕ 1. ෼ੳ § 22.1 2. ෼ੳ͔Β૑࡞΁ § 22.2
4. 1. ෼ੳ
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
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
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
8. • ͢Δͱ A-7 Λத৺ʹ Id ʹؔ͢Δରশؔ܎͕޿͘ଘࡏ͢Δ͜ͱ͕ݟ͑ͯ͘Δ 1. ෼ੳ
9. • ͢Δͱ A-7 Λத৺ʹ Id ʹؔ͢Δରশؔ܎͕޿͘ଘࡏ͢Δ͜ͱ͕ݟ͑ͯ͘Δ 1. ෼ੳ औΓग़͢
10. Fig. 22.6 ࣌ࠁ II-V-I ͷ 4 ౓ؔ܎
11. Fig. 22.7 ʢB - G - Eb ʹΑΔϚϧντχοΫγεςϜ ʣ
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/
13. Fig. 22.8 ࣌ࠁ ಛ௃తͳϧʔϓ
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
15. • Ϟνʔϑʹ͍ͭͯ • ๯಄ͷϞνʔϑ͸ G˚7 ͷΞϧϖδΦ • 5 খઅ໨͔ΒͷϞνʔϑ΋ Eb˚7 ͷΞϧϖδΦ 1. ෼ੳ
16. 2. ෼ੳ͔Β૑࡞΁
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
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૑࡞΁
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૑࡞΁